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Шпольский Э.В. Атомная Физика. Том 1. Введение в Атомную Физику (2-е Издание, 1949)
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naB a 11 ATOMId lIaoTouhI bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bullbull 46 sect 12 Bseneaae (46) sect 13 Ilepaonasecaaa CRCTeMa aneMeHTOBmiddot ~ H Meaneneeaa (47) sect 14 Onpeneneaae HCTIJHHhIX Macc STOMOB MeTO)l napafion (54) sect 15 Macc-crrexrporpadnr (57) sect 16 Maceshy
cnexrpoxerpsr R Mscc-crreKTporpsephI C )lBoiiHOii epOKyCRpOBKOi (65) sect 17 MacchI U rrponeuraoe conepssaaae-aaororroa (70) sect 18 Pa3shy
o neneBlIe 1l30TOnOB C nOMO~bIO MeTopOB OCHOBaBHhIX na )llIepepy3RlI (71) sect 19 Pasneneaae IlBOTOnOB MeTO)lOM TepMO)luepepy3RH (77) sect 20 Pas-
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neperonxa II 06MeHHhIx peaKulIH (86) sect 22 Paanenenae U30TonOB MeTO)lOM neHTpuepyrupoBaHulI (88) sect 23 Iloayxeuae Tllmenoro lI30shyTOUS nonopona (neiiTeplIlI) R Tlllitenoii DO)lhI (90)
t n S 11 a 111 HAepBoo erpoenae aTOMa bull bull bull bull bull bull bull bull bull bull bull bullbull ~5 sect 24 8epepeKTuDHoe ceaeane )lnll pacceanaa laCTUlI (95) sect 25 30Hshy
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rna D a IV Penrreneaexae J1ylu H ax npaaeneaae R OUPOAOliOUBIO aTOMBLIX BOBCTRBT bull bull bull bull bull bull I 111
sect 30 PeHTreHODCKue nyqu (111) sect 31 Iloraomeane penereuoncxax nyqeif (115) sect 32 Pacceaaae peHTreHODCKRX nyqeii (119) sect 33 ~RepshyeppaKlIRII penrreaoncnax nyqeii D HpuCTannRqeCKOii pemerxe (121) sect 34 8KcnepRMeHTanbHoe ocymecrsaeaae )luepepP~lKlIRR peHTreHODCKRX
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sect 41 AToMHLIe MOAeJIH (149) sect 42 3aKoH coxpaaeaaa BHeprHR B MexaHHKe (150) sect 43 lloTeH~HaJIbHLIe KpHBLIe (153) ~ 44 JIuHeuHLIH rapMOHHIeCKHi OC~UJIJIHTOP (156) sect 45 HOMnJIeKCUOe npeACTaBJIeHUe KOJIe6aHUi (160) sect 46 PaSJIOmeHHe B cnexrp (162) sect 47 IeHTpaJIbHLIe CHJILI RUHeTUIeCKaH aaepraa B nOJIHpHLIX KooPAHHaTax (167) sect 48 f]BHmeHue B neHTpaJIbUOM nOJIe (168) sect 49 Hennepoaa aanasa (170) sect 50 Gl-1aCT~a B nOJIe anpa (174) sect 51 npHBeAeHHaH Macca (176) sect52 0606meHHLIe KOOPAHHlTLICOcToHHue cucTeMLI(179) sect 53 ltDyHKshyUUH Jlarpamaa yenpaBHeHuH Jlarpamsa (180) sect 54 Ilpaaeaeaae ypasshyHelld Jlarpamaa K saAale 0 ~eHTpanblloM AUlilRellHH (183) sect 55 0606shymeuHLle UMnYJIbCLI (186) sect 56 faMUJIbTOHOBLI KaIpoundOHHIeCKUe ypanaeshyHUll (188) sect 57 ltDuaUIeCKUH CMLlCJI epYHK~UU raMUJIbTOHS (190) sect 58 IHKJIUIeCKlie KooPAuHaTLI (193) sect 59 Crw6KlI Ilyaccoua 3aKoHbi coxpaaeaaa (195) sect 60 f]BHlReHHe B BJIeKTpOMSrHHTHOM nOJIe (199) sect 61 Mexanaxa 6LICTpOABHlRYmUXCH 1aCTUll (204)
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sect 62 BJIeMeHTSpllLle neurpu acnycxaaaa cnera (209) sect 6 aJIeHshyrpoxaraaraoe HSJIyleHue nUHeiHoro OC~HJIJIHTOpa (21Q) sect 64 JIOJIHOe H tpe~ee lIJJII8Hwemiddot oe~lIooll1opa (l11i) sect 65 8JIeKTpOMarHHTHblH cneserp HerapMOllHICCKOrO ocnannaropa (215) sect 66 3sTyxaHHe Kone6sshyHuij (217)sect 67 JIYtJucToe rpeaae (220) sect 68 Hnrerpan ltDypbe U cnnomshyHoi cneietp (224) sect69 ECTeCTBellHaH mapasa cnearpansmar JIUllHH (228) pO f]pyme I1puMeploieneKTpaJIhHOrO paSJlOlReHHH aenepaoaaxeshyCKUX npoueccon (230) sect 71 llJI8UeTapSftH MOJJenb aTOMa (234) sect n 9p~ 6HJSJIbHLIH MarHlITHLIH MOMeHT n reopena Jlapaopa (B5) sect 73 8epepcentKT 3ellMalla (238) sect 7J 3epepeKT 3eeMsHa 06mnB cnylaH (242) bull
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sect 75~ RnaCCHleCKaHepH3uKa n np06neMs rennosoro llsnYlcHllH (246) sect 7l1 Paaaosecaoe asnyseaae B nOJIOCTH (249) sect 77 3aKoH Rupxshyroclm (251) sect 78 3aKOHLI USJIyleHuH a6conlOTHo 1epnoro TeJIa(253) sect 79 BdcnepuMekTaJIlgtlloe nclJIeJ]oBaHue saKOHDB reanoaoro nSJIyshy1eHlll (256) sect 80 Teopeaa 0 paBllOMlpH9M pacnpeneneaaa aaepraa no CTeneHHM cB060AM (257) sect 81 ltDopMyJIaPaJIeH-[lRIlUCa (260) sect 82 laquo(yenJIbTpaepHoJieToBalI KaTacTpoepa~ (262) sect 83 ltDopMyna IIJIaKshyla (263) sect 8ft Iano resa KBaHTOB snepraa (265)
r 1I a B a Yl I YpOBHU 9HeplRH aTOMOB bullbullbullbullbullbullbullbullbullbullbullbullbullbullbull~j69
c sect amp5 JIJJaieTa~)HjlH ~oAell~ aT-M8 II RBaHTOBLIe nocTYJIaTY Bopa (269) 86 OIILITLI ltDpaHHa H Iepua (270) sect 87 yennpyrne cOYAashypeaaa (274) sect 88 Heynpyrne coynapeaaa HpHTHleCKUe nOTeHshy~UaJIbl (276) sect 89 yencoBepmeHcTBoBsHue 8KcnepHMeHTSJIbHOH MeTO~ lUIltJl (278) sect 90 OAHoBpeMeHHoe onpeneaenae ncex crynenez BOSshy6yacaeHIIlJ (279) sect 91 Onpeneneaae uouusa~UOHHLIX nOTeH~Ha-
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sect 96 Cepna Bamerepa (294) sect 97 CepHR JIaihraHa Ilamena II pp 0606~eHHaa epopMyJIa Bansuepa (297) sect 98 Cnexrpamarsre TepMhI ROM6IIHa~HoHHhIii npaauan (299) sect 99 RBaHToBaHHe xpyroaux
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sect f04 LJrtatpaMMht yponnea SHeprHH (314) sect 105 Ipaansmaa cnnornshyHOH cnexrp aronaoro BOIJOpOlJa (315) sect 106 HBaHToBaHHe BOIJOpOAOshynonoeaoro aTOMa no Bopy-30MMepltpeJIhlJy (317) sect 107 IIPHHlIHII COOTBeTCTBHfI (325) sect 108 HPH3HC reopaa Bopa (330)
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e middot109 lImyenRTYa~HRcBeToBoro noaa (332) sect 110 ltDoTosepepeRT l(ypaBHeHlIe 9IIHillTeHHa (337) sect 111 hCIIepHMeHTaJIbHafi nponepxa j1paBHeHHfI 9nHmreHHa (340) sect 112 HOpOTROBOJIHOBafi rpaaana
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PaaHOCTLBpelllll qUCJIO00 aTHLIX06parHoe BpeMeH CARRnOllLeMft BpeMfJ
nOIl1gteManoLeMa n epe-B lIueRshy nOCJIeB onenshynepeaashy aapan-TpDI TpUI noae PllARH
RHnone -1 ---1r1
1B (B cex)
80708 001236
22375 00470
14056 000719
0012579600
34785 002870
n1E IE
(j00323
7003751
0005348 1
3001616
I
OrHOCUTeJIL-Han BeJIUIHshyaa elUHunLl
nepeaashy
1 (rUl)ill I~-IE
0005390
0005358
000538
0005387
CyMMa qUCJIO06paTHLIx
BpelgtleH ena-naleHUIl HUn
II nOllLeMa 1 1 aapana
1--)+1 nU E plusmn nr
009055 18 +6
012887 24 -7
17 +1
009138
009673 18 +3
011289 21
OTHOCUTenshyHall BenaIDshyaa ellHHHnwshy
1 (aflll~) n ig+iB
0005366
0005371
0005375
0005374
0005376
) Cpenuee t y = 11880 rne tg-BpeMH nanenaa B IlOJIe CHJIbi TFl1lteCTll
16 3JJERTPOH zr-o 3APR)J H MACCA [ra I
IJIaCHO (26) 113MeHeHHe BeJIllqllUhl aapana rrpll nepeaapanne )]OmKlIO
6hlTb nponopnaonansno paaHOCTll crcopocrefi VE - vE ECJIll ara paaaocrr OKameTCH ~eJIhlM RpaTHhlM O)]HOH II TOH me nenasansr TO
MomHO yTBepm)]aTb ITO llaMeHeHlIe aapana npOllCXO)]l1T He uenpeshyPhlBHO a ROHeqHhlM11 rrop~llHMII lJeTBepThlH 11 rrHThlH CTOJI6~hl
Ta6JIll~hl rroaaasraaror ITO 8TO llMeeT MeCTO aa caMOM neae C TOIshy
HOCTblO)]O HeCIWJIbRllX eAl1H11~ B rrHTOM aaaxe aapH)] llaMeHHeTCH
ua 6 7 1 e)]l1Hll~ rrpllqeM caua enaamra nepeaapanna (UHThlH CTOJI6e~ Ta6JIll~hl) llMeeT nOCTaTOqHO nocroarr aoe aaaxeaae
ltDopMyJIa (25) rroxaausaer ITO a6COJIIOTHaH Be1JllqllHa aapana RarrJIII )]OmIltHa 6hlTb rrporropnaoaansna CYMMe Vg + VE (IlleCTOH
cToJI6e~ Ta6JIll~hl)
ECJIll 8Tll CYMMhl oxaxryrca HPaTHhlMll O)]HOn II TOM me BeJIHshy
qIlHe TO 8TO oanauaer ITO aapan crcnansmaerca 11a nacnpernsrx enaann Ce)]bMOn 11 BOCbMon CTOJI6~hl noaaasmaior ITO 11 8TO
llMeeT MeCTO B )]enCTBHTeJIbHOCTll HaROHe~ llacpaBHeHllH rrHToro
II socsuoro CTOJJ6IWB Bll)]HO ITO enaaana nepeaapanrca H e)]IIHH~a aapana Mem)]y co6oii COBrra)]aIOT onars-raxa C TOqHOCTblO )]0 Heshy
CIWJIbH11X e)]HHH~ B I1I1TOM aaaae TaRHM 06paaOM ananaa Ta6JlHQhl
)~aeT rrOJIIIOe 11 nenocpencraenaoe )]ORaaaTeJIbCTBO nncxperuoii rrpHpO)]hl 8JIeRTpHqeCKOrO aapsna - aTOMllCTllRH 8JIeRTpHqeCRHX
RBJIeHHM
)JJIH ToqHOrO OIlpe)]8JIeHllH a6COJIIOTHOM BeJIllqllHhl aapana 8JJeRTpOHa B qHCJla nonynennrae npll I10MO~H ltlOpMyJIhl (2[)) H806xo)]HMO BHeCTll cy~ecTBeHHYIO nonpaBRY B caMOM fteJIe
ORaaaJIOCb ITO ecna onpe)]eJIHTb aapan KaneJIeR paaJIllltJHoro
panayca TO npa yxeusnrenaa I10CJIe)]HerO snasane rrOJIyqalOTCH
llOCTOHHHhle aaassaaa e HO )]JIH OltJeHb MaJIeHbRHX RalleJIeK e 6hlCTpO noapacraer C YMeHbIlIeHlleM panayca TaRllM 06paaOM
BhlXO)]HT ITO aapH)] 8JIeRTpOHa He HMeeT llOCTOHHHoro aaaseaaa a MomeT aanacerr OT paaxepos xarrensxa
MHJIJIlm8H 06bHCHHJI 8TOT HBHO aecoofip aansni peayJIbTaT TeM
ITO aaROH CTORca HeJIb3H npHMeHHTb R )]BllmeHlllO OltJeUb MaJIeHbshy
RHX RarreJIeR )JenCTBHTeJIbHO aaHOH CTORca BhlBO)]HTCH B rrpe)]
llOJIOmeHHH ITO )]BHmy~eecH TeJIO HMeeT ltlopMy nrapa H ITO
cpena B KOTOpOH rrpOHCXO)]HT )]BHmeHHe - aerrpepsmaa Ilocnonshyuoe upemroaoaeenae aaaenoxro He onpasmasaerca xorna npa
l~BHmeHHH B raae paaxepsr RaneJIbRH CTaHOBHTcH cpaBHHMhlMH
CO Cpe)]HeH )]JIlIHOH CBo6o)]HOrO nYTH raaonsrx MOJIeRyJI TaRHM o6pashy
u 6aOM OTHOIlleHHe Ii cpenaea )]JIHHhI CBO O)]HOrO I1yTH R panaycy
xanna MomeT CJIymHTb xparepnen npllMeBHMOCTII HJIH HenplIMe-
BllMOCTll aaxoua CTORca eCJIll 8TO oruornenae MaJIO ( ~ 1) TO aaROH CTORca upaxenarr MOiKBO B npOTllBOnOJIOmHOM CJIyqaeshy
aaROH CTORca HerrpllMeHHM
I a] nPAHTMQECHOE OCymECTBJIEHI1E OnbITA MI1JIJIHH8HA 17
IJJISI roro lJTo6hI YlJecTJ orcrynzreaaa OT 3aHOHa Croxca PJISI
OlJeHIgt MaJIeHIgtRHX xanenex 6LIJIO upennoateao nOJIIgt30BaTIgtCSI BMeCTO (21) CJIepyIOIllHM HCnpaBJIeUHLIM BLIpaiKeHHeM PJISI CTOHCOshy
BOH CHJILI 6ljaV gF _ (31)-
1+ A-a
me A - aexoropaa nOCTOSlHHaSl RaR BHPUO aTO BLIpaiKeHHe
nocrpoeao TaH lJTO npH A- -+0 OHO nepexonar B fJOpMyJIya Croxca (21) IIpH nosroma aroii HCnpaBJIeHUOM fJ0PMYJILI MLI nOJIyshylJaeM AJISI a6COJIIOTHOH BeJIHlJHlihI aapana BMeCTO (25) cnerryiontee BLIpaiKeHHe
9 V2middott Ij 312VI2
(VE+Vg )- ge- (a - p)I2l l2 ~(1+A~Y2 (32)
llTo6LI HaHTH a6COJIIOTHyIO BeJIHlJHHY aapana no aTOM fJopMyJIe aano 3UaTIgt nocToHHHyIO A Onaarco MHJIJIHHaU noxaaan RaHHM ofipaacxr MO~HUO uaMTH HCTHHHyIO BeJIHlJHllY aapana He npafieran R onpeAeJIeHHIO )TOM nocronaaofi
113 conOCTaBJIeUUSl fJOpMyJl (25) H (31) JIerRO HaHTH oraomeshyHHe BeJIHlJHHLI eo R aapSlAY BLIlJHCJIeHUOMY 6ea nonpanna
1
eeo_
- (1+ A ~Y2 HnH
e~3 ( 1+ A ~ ) = e23bull
Ho nnaaa caotiozraor-o npo6era A o6paTHO nponopnaonansaa naBneIIlIIO raaa p n03ToMY
e~3 (1 + a) = e23 (33)
IAe B - uexoropaa HOBaSl nOCTOHHuaSl ECJIH HaMeUSlTIgt naanenae p H AnSI Ramporo auaseaaa nanneshy
HHH BLIlJHCnHTIgt RamYIllYIOcSI nenaxany aapana e (6ea nonpaaxa eZ13TO COrJlaCHO fJopMyne (33) MeiKAY H 1 pa poniKUa HMeTIgt
MeCTO nnueMuaSl aaBHCHMOCTIgt Hpn aTOM TaR HaR lJneu Blpa B fJopMyne (33) arpaer ponlgt
ManoM nonpanrca TO B HalJeCTBe panayca xannn a MOiKHO B3HTIgt BenHlJnHY BLIlJHCJlHeMYIO no ueacnpaanenaoii fJopMyJIe CTOHca CM fJ0PMYJlY (23)] B caMOM AeJIe HOHCTaUTa B cor-nacuo HaMeshypeUHHM MHJlJIHHlHa panaa
~B = 0000617 l
2 a B mnOJlbctt T I ~ r ~ i ~i~
ilild~ll bull 11l ~------
8
18 3JIEHTPOH sr-o 3APHD n MACCA [r-a I
eCJIn p naMepeHO B CUHTnMeTpax pTyTHoro cToJI6a n a-B caHTn-MeTpax
Pnc 3 rne oca opnnaar
7
JoD
sect I
~
~e
~
V
aa OCM aficnacc OTJIOmeHIlI aHaIeHlIH 1fppoundl a aa e2
a bull 108 uoreaaraaaer ITO rpefiyeuan qgtopMyshyJIOM (33) JIMHeiiHaH aashyBnCIlMOCTb cyurecrnyer B geMcTBnTeJIbHOcTM IToshynaraa B qgtopMyJIe (33) 1fp =0 MJIM a = co T e nepexona R npenensuoshyMy CJIylfaIO xorna aaROH CTORca gOJlmeH 6IlITb cnpaaertnaa (paguyc sashyCTM~bI 6eCROHetIHO BeJIMR no cpasnenmo CO cpenshyHeii gJInHOM cBo6ogHorO
zoo f 300 liDO pOD nYTH) HaiigeM e2a = e~a pa arnr e =eo TaRHM o6pashy
Pac 3 aOM gJIH aaxoamenaa nCTMHHoro aHaIeHHH aashy
pana BJIeRTpOHa eo gocTaTOtIHO BRCTpanOJIIlpOBaTb npHMYIO go nepe-CeleHMH ee C OCbIO opnanar
Ha middotpMC 4 npaaenema tIeTbIpe cnocorioa PJIH tIaCTII~ paaJIMtIHOII B noanyxe I I - xansns-Rn MaCJIa B sozropone I I 1- RaneJIbRM pTyTM B sosztyxe IV -TIaCTn~1iI
lIIeJIJIaRa B soanyxe Bee IeTbIpe npmnre nepeceshyRaI9T OCb opnauar B 00- ~
HOH TOIRe aapHo BJIeR- ~70
TpOHa He aaBMCMT HM OT npaponsr tIaCTM~ HH OT IIPMPOgliI raaa oRpymashyiomero IaCTMI(bI
OnbITbI MHJIJIMRBHa HMeIOT 60JIblIIOe npIIH~Mshynaansuoe anaseaae TaR RaR OHM C nOJIHoii OIeshyBlIgHOCTbIO pORaaIiIBaIOT aTOMIICTMIeCHYIO npnposhy
npmnae nocrpoeaaue TaRIIM me
npapojrsr I - RaneJIbRM MaCJIa
500100ZOO I 300100
75f----+---+7shy
80--------
po Pac 4
~y BJIeRTpllleCROrO aapana IIo aenasaero BpeMeHM raxace H a6COJIIOTHOe aaaaenae aapHg8~J BJIeRTpOHa e = 4770 10-10 CGSE nOJJyIeHHOe 11M CIlITaJIOCb Ha1l60JIee t TOIHbIM COBepmeHHO Heshyomnp8HHO onaaxo BbIHCHMJIOCb ITO ltlTO ananeane copepmllT cncrashy
sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
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PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
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p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
Ilepnaa Ta6JIIIlla 6hIJIa ony6JIlIROBaHa MeH)IeJIeeBhIM B 1869 r
R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
nOplI)IOR CJIe)lOBaHJllI Hepenxo 3TJI Jl3MeHeHII1I 6hIJIJI necsua cymeshy
CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
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6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
MeCTa pOJDRHhI 6hITb 3aHHThI eme He OTRPhIThIMJI 3JIeMeUTaMJI
B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
pue OH Ha3BaJI 3Ha60pOM 3RaaJIIOMJlHJleM JI 3RaCJlJIHllJleM JI onacazr
JlX CBoHCTBa Bcxope nOCJIe aroro B 1875 r 6hIJI OTRphIT 3JIeMeHT
ua3BaHHhIfI raJIJIlI8M MeH)IeJIeeB TOTIaC me YRa3aJI na TO ITO raJIJIJlH
JI ecrr rrpencxaaaumrti JIM 3HaaJIIOMJlHJlH JI ITO OH pOJImeH JlMeTb aTOMshy
UhIH nee OROJIO 68 y)leJIbHhIH sec 60-59 JI aTOMHhIIf 061gteM 115 Ha caMOM )IeJIe -aToMHhIH aec raJIJIlIlI ORa3aJIClI paBHhIM 699 ynernshy
HhIH nee 596 II a TOMHhIH 061gt eM 117 OCHOBHOH epaRT 113 xoroporo IICXO)lJlJI p YI MeH)IeJIeeB npJl
nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
TO 3JIeMeHThI C aHaJIOrHIHhIMH CBOHCTBaMlI nepllO)IIIIeCHlI nOBTOshy
pHIOTClI MCXO)lR 113 aroro eMy ynanocs nOCTpOIlTb laquoeCTeCTBeHshy
UYIO CIICTeMY 3JIeMeHTOBraquo xoropaa ORa3aJIaCb npaBIIJIbHOH Heshy
CMOTpH aa TO ITO aTOMHhIH nee HaR BhIHCHIIJIOCb BnOCJIe)lCTBIIII_
A TOMbI H30TOITbI [roll II
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ITO cyrneCTBYIOT aemecraa xoropsre B XlIMlItIeCHOM OTHomeHlIlI nenyr
ce6H npaHTlItIeCHH o)lIHaHoBbIM 06pa30M aecaorpa na TO ITO lIX
ATOMHbIe neca pa3JIlItIHbI Taxae nemecrna Ha3bIBaIOTCH usomonauu TaH HaH BCJIe)CTBlIe lIX XlIMlItIeCHOH Tom)eCTBeHHOCTlI lIX He06xo)lIMO
IIIQMernaTb ua O)HO II TO me MeCTO B nepaonasecxon ClICTeMe (CJIOBO
laquoH30TOnbI) B 6yHBaJIbHOM nepenone C rpesecreoro oaaasaer laquo3aHlIMaIOshy
1U1Ie O)HO II TO me MeCTO)) XlIMlItIeCHlIe 8JIeMeHTbI aa caMOM neshy
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BeCOB ncex otipaayionrax lIX 1I30TorrOB Hapany C aTOMaMlI 06JIashy
)aIOrnlIMlI onem 6JI1I3HlIMlI CBOHCTBaMlI npn pa3JIlItIHbIX aTOMHbIX
necax cymecmyror raroxe aTOMbI 06JIa)aIOrnlIe pa3JIHtIHbIMlI CBOHshy
ClBaMlI npa O)lIHaHOBbIX aTOMHbIX necax (1I306apbI CM T II rn XVIII)-
TaH HaH O)HaHO rrepaona-recxaa ClICTeMa 8JIeMeHTOB OHa3aJIaCb
npaBlIJIbHOH TO ee CJIe)yeT paCCMaTplIBaTb HaHmiddot~YH)aMeHTaJIbHbIH 3aHOH npaporna He3UBlIClIMO 01 roro HaHlIM rryTeM OHa 6bIJIa OTHpbITa
IIoCHOJIbHY XlIMlIqeCHlIH aTOMHbIH nee B )eHCTBlITeJIbHOCTlI He ecrs
lyrnecTBeHHbIH np1I3HaH amoua OCHOBHOH xapaHTeplICTHHOH 8JIeshy
MeHTa HBJIHeTCH ero nOJIOmeHlIe B neplIO)lItIeCHOH ClICTeMe a 810
nOJIOmeHlIe onpenerraerca HOMepOM MeCTa 3aHlIMaeMoro )aHHbIM
meMeHTOM B Ta6JIlI~e Meaneneena rJIy60HaH npanaaa BamHOCTlI
aroro qlICJIa naaraaaesroro amOMHb~M HOMepOM COCTOlIT B TOM ITO
OHa HBJIHeTCH na caMOM nene He rrpOCTO rropH)HOBbIM HOMepOM
HO O)HOH H3 OCHOBHbIX gJuaU1ieCXUX HOHCTaHT aTOMa HaH 810 6y)eT
nOHa3aHO B )aJIbHellrn8M
B03MomHOCTb pacnonoareaaa 8JIeMeHTOB B npaBlIJIbHYIO cncreay
npa nOMOrnH aTOMHbIX BeCOB OCHOBaHa aa CJIe)YIOrneM 3aMeqaTeJIbshy
HOM ~aHTe eCJIlI xaparcrepaaonarr )aHHbIH 8JIeMeHT aTOMHbIM BeCOM
onpenenaesnaa XlIMHqeCRlIMlI MeTo)aMlI II HBJIHIOrnlIMCH cpe)HHM 1I3
aTOMHbIX BeCOB ncex 1I30TorrOB naanoro 8JIeMeHTa TO Mem)y 8THM
cpe)HIIM aTOMHbIM BeCOM II aTOMHbIM HOMepOM cymecrnyer npocraa
MOHOTOHHaH 3aBlIClIMOCTb (pIIC 21) B HeMHorlIX CJIytIaHX aorna
810 COOTBeTCTBHe lIapyrnaeTcH (K-Ar Te-middotJ Co-Ni) Meaneaeen C reHlIaJIbHOH HHTYH~HeH paCrrOJIOmlIJI 8JIeMeHTbI npanarrsno
nonpexa HX aTOMHbIM necax
Ha pHC 22 II 23 rrpa aenema aexoroprae npauepu nepaonasecnoro
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aTOMHbIH nee ) 23 HaT-aTOMHbIe 06LeMbI (= na pac npe)CTaBJIeH
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BIIClIMOCTlI 01 aroaaoro aoxepa a HMeHHO-BepXHHH HpHBaH paeT
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middot~ _- J
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middot~JiIOinl Bll~HO ITO nee ara CBOHCTBa He rozirxo HcnLITLIBaIOT nepaoshy
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nepHogaMH TeOpeTHqeCRH 60JIee 06ocHoBaHa Ta6JIH~a C gJIHHHMMH
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pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
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1 kk bullTeMIIepaTypbI nJIaBJIeHlIlJ T 104 CpepHRIJ xpaaaa - K09iilIIWeHT JIlIReUHOro
pacmapeaaa ~ 10amp HII)ltRRIJ KplIBalJ-K09centicentiHIHeHT ClRHMaeMOCTH lCmiddot 106 bull
B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
CTBaMH ITo Mepe nponaaareaaa nnpaao 06a aTH CBOMCTBa aaMeTHO
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mre HaROHe~ geBHTMH aJIeMeHT-ltpTop-ORaaMBaeTCH aarunonou
JIHTHfI OH flBJIHeTCfI THnHqHMM MeTaJIJIOH)JOM H 06JIagaeT peSRO
BLIpamemrnMH RHCJIOTHMMH CBolIcTBaMH IJaJIee cnenyer 6JIaropogshy
BLIH raa HeOH a aa HHM lI(eJIoqHOlI MeTaJIJI HaTpHH (M 11) II BCH
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zranaer gByMfI MogHltpHRa~HHMHMeTaJIJIHqeCROlI H HeMeTaJIJIHqeCROB
-- ---
--- -- ---- ----- ---
--- -- -- ------- -- ---
------ ------
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--- ---
T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
~
18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
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I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
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rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
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llOiDacaRO H neqaTa 8IX - 15X 1949 r 3275 ne-r n 3554 yq-aSII ~ 43400 THD 3R B nex aacre A-11755middot7IX 1949 r Tarall( 20000 SHl
neBa HBara 12 p 45 H nepexmeT 2 p Baxaa N 1500
16-11 TiluorpacllHII rnaBnonnrpaltIJaSlJaTa npa COBeTe MaBacTpOB CCCP 40CHBft TpXDPYlJBLlA nep 9
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118 npenacaoaaa K nepnony lI3)laHlIIO 8
rna B a 1 BlIOBTpOB oro aapsA B Macca bull bullbull bull 11 sect 1 OTKpLITlIe llJIeKTpOHa (11) sect 2 Onpeneneaae aapana anexshy
TpoBa (1-2) sect 3 Ilpaaraxecxoe ocymecrnneaae OIILlTa MlIJIJIlI-Raila (14) sect 4 ~BlImeHRe aaererpona B eneKTplIq~CKOM II MBrHlITHOM Donllx (19) sect 5 8neKTpoH B nponomaoa eneKTpOCTaTlIqeCKOM none (24) sect 6 8KcneplIMeHTanbHbIe MeTO)lhI onpeneaeiraa y)lenbshynoro sapsna (25) sect 7 Onpenenenae ynemsoro aapana anexrpoaa no MeTony nnyx KOH)leHCaTOpoB (27) sect 8 Onpeneneaae ynensnoro aapana anexrpoaa no MeTO)ly epOKyCBpOBKIJ npononsasss MarHBTshyJlbIM nonex (29) sect 9 1Il0KycRpoBKs R MOHOXPOMSTR3SlIRII nylKOB sapllmeHHhIx qaCTRlI (32) sect 10 3aBRcRMoCTb MaCChI anexrpoaa OT ero CKOpOCTll (36) sect 11 8neKTpOMarHIJTHall xacca (41)
naB a 11 ATOMId lIaoTouhI bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bullbull 46 sect 12 Bseneaae (46) sect 13 Ilepaonasecaaa CRCTeMa aneMeHTOBmiddot ~ H Meaneneeaa (47) sect 14 Onpeneneaae HCTIJHHhIX Macc STOMOB MeTO)l napafion (54) sect 15 Macc-crrexrporpadnr (57) sect 16 Maceshy
cnexrpoxerpsr R Mscc-crreKTporpsephI C )lBoiiHOii epOKyCRpOBKOi (65) sect 17 MacchI U rrponeuraoe conepssaaae-aaororroa (70) sect 18 Pa3shy
o neneBlIe 1l30TOnOB C nOMO~bIO MeTopOB OCHOBaBHhIX na )llIepepy3RlI (71) sect 19 Pasneneaae IlBOTOnOB MeTO)lOM TepMO)luepepy3RH (77) sect 20 Pas-
~neHlleBSOTOnoB C nOMOmbIO eneHTpoMarHuTHhIx MeTO)lOB (82) ~ sect 21 -Paanenenae R30TorrOB C rrOMOU1bIO MeTO)lOB eppaKlIROHUpOBaHHoi
neperonxa II 06MeHHhIx peaKulIH (86) sect 22 Paanenenae U30TonOB MeTO)lOM neHTpuepyrupoBaHulI (88) sect 23 Iloayxeuae Tllmenoro lI30shyTOUS nonopona (neiiTeplIlI) R Tlllitenoii DO)lhI (90)
t n S 11 a 111 HAepBoo erpoenae aTOMa bull bull bull bull bull bull bull bull bull bull bull bullbull ~5 sect 24 8epepeKTuDHoe ceaeane )lnll pacceanaa laCTUlI (95) sect 25 30Hshy
ilIlpOD8HHe aTOMOD ImeHTpOHaMlI (98) sect 26 Csoacraa a-qaCTlIlI (100) sect 27 Teopaa pacceaaaa -qaCTUlI (104) sect 28 8KcnepuMeRTanbHall nponepxa epopMynhI Pe3epepop)la (107) sect 29 Onpenerrenae aapana snpa (109)
rna D a IV Penrreneaexae J1ylu H ax npaaeneaae R OUPOAOliOUBIO aTOMBLIX BOBCTRBT bull bull bull bull bull bull I 111
sect 30 PeHTreHODCKue nyqu (111) sect 31 Iloraomeane penereuoncxax nyqeif (115) sect 32 Pacceaaae peHTreHODCKRX nyqeii (119) sect 33 ~RepshyeppaKlIRII penrreaoncnax nyqeii D HpuCTannRqeCKOii pemerxe (121) sect 34 8KcnepRMeHTanbHoe ocymecrsaeaae )luepepP~lKlIRR peHTreHODCKRX
1
4 OrJIABJIEHHE
JIyqeii (127) sect 35 Onpeneaeaae )JIUHLl BOJIHLI penrreaoncaax cnenshyTpaJIbHLIX lUHUK (132) sect 36 CneKTpLI pesrreaoscaax JIylei (134) sect 37 3alwH Moserra (136) sect 38 A6cOJIIOTHOe onpenenenae AJIUHLI BOJIHbl pearreaoscaax JIylei (140) sect 39 Onpeneneaae nocToHHHOH Asoranpo U aapana 8JIeKTpOHa (143) sect 40 yenAeJIbHLIH aapan 8JIeKTpOHa (147)
r JI a B a V Orpoeaae aTOMa B KlIaCCUIeCRaa lJIu3UKa bull 149
A R JI a CCU I e CK a H Me x a H H K a H CT poe H H eaT 0 M a bull 149
sect 41 AToMHLIe MOAeJIH (149) sect 42 3aKoH coxpaaeaaa BHeprHR B MexaHHKe (150) sect 43 lloTeH~HaJIbHLIe KpHBLIe (153) ~ 44 JIuHeuHLIH rapMOHHIeCKHi OC~UJIJIHTOP (156) sect 45 HOMnJIeKCUOe npeACTaBJIeHUe KOJIe6aHUi (160) sect 46 PaSJIOmeHHe B cnexrp (162) sect 47 IeHTpaJIbHLIe CHJILI RUHeTUIeCKaH aaepraa B nOJIHpHLIX KooPAHHaTax (167) sect 48 f]BHmeHue B neHTpaJIbUOM nOJIe (168) sect 49 Hennepoaa aanasa (170) sect 50 Gl-1aCT~a B nOJIe anpa (174) sect 51 npHBeAeHHaH Macca (176) sect52 0606meHHLIe KOOPAHHlTLICOcToHHue cucTeMLI(179) sect 53 ltDyHKshyUUH Jlarpamaa yenpaBHeHuH Jlarpamsa (180) sect 54 Ilpaaeaeaae ypasshyHelld Jlarpamaa K saAale 0 ~eHTpanblloM AUlilRellHH (183) sect 55 0606shymeuHLle UMnYJIbCLI (186) sect 56 faMUJIbTOHOBLI KaIpoundOHHIeCKUe ypanaeshyHUll (188) sect 57 ltDuaUIeCKUH CMLlCJI epYHK~UU raMUJIbTOHS (190) sect 58 IHKJIUIeCKlie KooPAuHaTLI (193) sect 59 Crw6KlI Ilyaccoua 3aKoHbi coxpaaeaaa (195) sect 60 f]BHlReHHe B BJIeKTpOMSrHHTHOM nOJIe (199) sect 61 Mexanaxa 6LICTpOABHlRYmUXCH 1aCTUll (204)
B lLiisccHIecKaH r e o p a a 8JIeITpOMarHHTHoro a a a yshyl e H 0 JI~ bull bull bull ~ bull 0 bull bull bull bull bull bull bull bull bull bull i bull bull bullbull 209
sect 62 BJIeMeHTSpllLle neurpu acnycxaaaa cnera (209) sect 6 aJIeHshyrpoxaraaraoe HSJIyleHue nUHeiHoro OC~HJIJIHTOpa (21Q) sect 64 JIOJIHOe H tpe~ee lIJJII8Hwemiddot oe~lIooll1opa (l11i) sect 65 8JIeKTpOMarHHTHblH cneserp HerapMOllHICCKOrO ocnannaropa (215) sect 66 3sTyxaHHe Kone6sshyHuij (217)sect 67 JIYtJucToe rpeaae (220) sect 68 Hnrerpan ltDypbe U cnnomshyHoi cneietp (224) sect69 ECTeCTBellHaH mapasa cnearpansmar JIUllHH (228) pO f]pyme I1puMeploieneKTpaJIhHOrO paSJlOlReHHH aenepaoaaxeshyCKUX npoueccon (230) sect 71 llJI8UeTapSftH MOJJenb aTOMa (234) sect n 9p~ 6HJSJIbHLIH MarHlITHLIH MOMeHT n reopena Jlapaopa (B5) sect 73 8epepcentKT 3ellMalla (238) sect 7J 3epepeKT 3eeMsHa 06mnB cnylaH (242) bull
r JI S B a VI lIalIyleoRe a(jcolIIOTHO 1l1popro TellS R rRDOTeasBBaJI- TOB 9BeprRB bull bull bull bull bull bull bull bull bull bull bull bullbull 246
sect 75~ RnaCCHleCKaHepH3uKa n np06neMs rennosoro llsnYlcHllH (246) sect 7l1 Paaaosecaoe asnyseaae B nOJIOCTH (249) sect 77 3aKoH Rupxshyroclm (251) sect 78 3aKOHLI USJIyleHuH a6conlOTHo 1epnoro TeJIa(253) sect 79 BdcnepuMekTaJIlgtlloe nclJIeJ]oBaHue saKOHDB reanoaoro nSJIyshy1eHlll (256) sect 80 Teopeaa 0 paBllOMlpH9M pacnpeneneaaa aaepraa no CTeneHHM cB060AM (257) sect 81 ltDopMyJIaPaJIeH-[lRIlUCa (260) sect 82 laquo(yenJIbTpaepHoJieToBalI KaTacTpoepa~ (262) sect 83 ltDopMyna IIJIaKshyla (263) sect 8ft Iano resa KBaHTOB snepraa (265)
r 1I a B a Yl I YpOBHU 9HeplRH aTOMOB bullbullbullbullbullbullbullbullbullbullbullbullbullbullbull~j69
c sect amp5 JIJJaieTa~)HjlH ~oAell~ aT-M8 II RBaHTOBLIe nocTYJIaTY Bopa (269) 86 OIILITLI ltDpaHHa H Iepua (270) sect 87 yennpyrne cOYAashypeaaa (274) sect 88 Heynpyrne coynapeaaa HpHTHleCKUe nOTeHshy~UaJIbl (276) sect 89 yencoBepmeHcTBoBsHue 8KcnepHMeHTSJIbHOH MeTO~ lUIltJl (278) sect 90 OAHoBpeMeHHoe onpeneaenae ncex crynenez BOSshy6yacaeHIIlJ (279) sect 91 Onpeneneaae uouusa~UOHHLIX nOTeH~Ha-
r l
orJIABJIEHHE
nOB (282) sect 92 M3nyleHRe B036ymlJeHHhIX aTOMOB (285) sect 93 CnoashyTaHHOe II3nYleHlIe (287) sect 94 BhIHymlJeHHOe II3JIyleHHe H nornomeshy
Hue (290) sect 95 ahIBO) epOPMYJIhI IInaHl3 no 9iiHmTeiiHy (291)
n a a a aTOMa
VIII CnCSTpalILDLIC bull bull bull bull bull bull bull bull bull bull
CCpRU bull bull bull
B pOBDD bull bull bull bull bull
3DcprUB BOiJopOiJHoro bull bull bull bull bull bull bull bull bull bullbull 29
sect 96 Cepna Bamerepa (294) sect 97 CepHR JIaihraHa Ilamena II pp 0606~eHHaa epopMyJIa Bansuepa (297) sect 98 Cnexrpamarsre TepMhI ROM6IIHa~HoHHhIii npaauan (299) sect 99 RBaHToBaHHe xpyroaux
Op6HT (301) sect 100 Teopan Bopa (304) sect 101 IIplIMeHeHHe npetrsrshylJ~eH TeopHH OTRphITHe TflmeJIOrO H30Tona BOIJOpOlJa (308) sect 102 Cepan IIIIHepHHra IICneRTphI BOlJopoIOnOAo6HhIX lIOHOB (310) sect 103 0 CDeRrpocROnHIeCROM onpeneneaaa ylJeJIhHOrO aapsna anexrpoua (312)bull
sect f04 LJrtatpaMMht yponnea SHeprHH (314) sect 105 Ipaansmaa cnnornshyHOH cnexrp aronaoro BOIJOpOlJa (315) sect 106 HBaHToBaHHe BOIJOpOAOshynonoeaoro aTOMa no Bopy-30MMepltpeJIhlJy (317) sect 107 IIPHHlIHII COOTBeTCTBHfI (325) sect 108 HPH3HC reopaa Bopa (330)
a a B a IX CBeToBLle KBaBTLI bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bullbull 33
e middot109 lImyenRTYa~HRcBeToBoro noaa (332) sect 110 ltDoTosepepeRT l(ypaBHeHlIe 9IIHillTeHHa (337) sect 111 hCIIepHMeHTaJIbHafi nponepxa j1paBHeHHfI 9nHmreHHa (340) sect 112 HOpOTROBOJIHOBafi rpaaana
ermoillHoro penrreaoncxoro cneRTpa (343) sect 113 TOlHOe onpcneshyJIeHlie IIOCTOflHHOH IIJIaHRu (344) sect 114 ApyrueollhIThI ofinapyshymHBaIO~He xoprrycxyrmpuue CBoHcTBa CBeTa (346) sect 115 ltDJIyRTyashy~HH cneroaoro I10TOR3 (J48) sect 116 Pacceanne peHTreHoBcRHX JIyleil (BOJIHOBaH reopna) (351) sect 117 9epepeIT HOMIIToHa (356) sect 118 9JIeshyMeHTapHaH reopas sepepeRTa HOMIITOHa (358) sect 119 8JIeRTpOHhI OTIalH (361) sect 120 8JIeMeHTapHhIe aRThI pacceanaa II 3aROHhI coxpashyHeHHH (365) sect 121 8RcIIepHMeHTaJIbHOe IIoATBepmAeHHe npHMeHHshyMOCTH 3aROHOB coxpaneuas R sneMeHTapHhIM aIltTaM pacceaaaa (367)
fn a B a X BOlIBLI H 1aCTH~LI bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bullbull n ~i ~ ~
sect 122 Bnenenac (370) sect 123 IIJIocRaH MOHoxpOMaTIIleCRaH BOJIHa B OIJHOpOIJHOH cpe)e (371) sect 124 BOJIHOBOe ypaanenae (373) sect 125 Cynepn03HIJHH IIJIOCRHX BOJIH (375) sect 126 BOJIHOBOrr I1aReT (377) sect 127 ltDi30BaH H rpyrmonaa CROpOCTH (381) sect 128 HopIlycRynHpHo-BOJIHOBOH I1apaJIJIeJIH3M Ilpenouneuae csera (384) sect 129 HopnycshyRyJIHpHO-BOJIHOBOH I1apaJIJIeJIH3M 9epepeRT AOIIIIJIepa (388) sect 130 HopshynyCRyJIHpHO-BOJIHOBOii I1apaJIJIElJIH3M AHepeppaRlIHOHHaH pemeTRa (389) sect 131 fHIIOTe3a lJe-BpOrJIH (391) sect B2 CBoncTBa BOJIH Ae-BporJIJI (393) sect 133 9RcIIepHMeHTaJIhHOe rronrnepzsnenae rlIIIOTe3hI )e-BporJIJI Meron Bparra (396) sect 134 IIpeJIoMJIeHHe aJIeRTpOHHhIX BOJIH II BHYshyTpeHHfIH nOTeH~IIaJI MeT3JIJI3 (401) sect 135 9RcnepHMeHTanhHoe I101Jshy
TBepmlJeHIIC rIJnOTe3hI Ae-BporJIJI MeTOlJhI JIaya II Ae6alI-illepshypepa (403) sect 136 MHTepepepeHlIHOHHhIe JIBJIeHHJI C MOJIeRyJIlIpHhIMH nylRaMH (409) sect 137 BOJIHODOll naxer II sacrana (410) sect 138 CTaTHshyCTHleCROe HCTonROBaHHe nona lJe-BporJIJI (412) sect 139 CooTHOmeHHJI HeOnpeAeJIeHHOCTII (414) sect 140 Onpenenenae MeCTa H HMnyJIbCa MHRp0laC1H~hI (417) sect 141 OillH6olHhIe TOJIROBaHHJI coornourenaa HeOnpeAeJIeHHOCTH (423) sect 142 CooTHomeHHII HeOnpelJeJIeHHOCTII H npammn npHlIlHHOCTH (428)
f JI a B a XL YpaBDeDue Illpennarepa bull 43
sect 143 YpaBHeHHe Illpennarepa ll epH3HleCRIIll CMhICJI ero peme-HHH (434) sect 144 Orpaacenae II npoxoamenae sepee I1oTeH~HaJlbHhIii 6apbep (441) sect 145 IIoTeH~HaJIbHhIH fiapsep ROHelHOH mHpuHhI (450)
OrJIABJIEHHE
sect 146 ROJ]I~6aHlIlI CTPyHLl (455) sect 147 qaCTlII~a B IIOTeR~lIaJJLBOM lUI~lIKe (461) sect 148 8neKTpoH Duoreanaaasaoa lIMe (466) sect 149 JbmeH HIgt1ii rapMOHIIIeCKlIi ocnannarop (472) sect 150 Hopaansaoe II BOB~ 6YlKjeHH~e COCTOlIHlIlI nllHeHHoro ocnannaropa (478) sect 151 CBlIshyaaaaae ocnannaropu CIIJlld Baa-nep-Baansca (485) sect 152 qacTII~a D TpexMepHoM DOTeH~lIanLHOM lI~IIHe (494) -
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xanenex MaCJIa ITpeAcTaBHM ce6e TaHyIO HaneJIbHY Mempy 06HJIa)JshyRaMH r~pDaOHTaJIbHO pacnonoaeenaoro HOHAeHCaTOpa ECJIh aa
c -~j~l~
OnpEnEJIEHHE aAPHlA9JIERlPOHA J3
xoanencaropa Hlil HaJIOmeJJo none lo aanna oYAeJ 8amp60fijlQ nanarraquo BCJIeqcTBue MaJILlX paaaepos
r n8Aftb paBHOMepHO TaR liaR ee nee mg ypaaaoaemaaaarca canoa ~0~onpOTUBJIeHuaBoaAyxapaBHoA no aaRoHy CTORca ~
f F=67t~avg (21) ~ I
tXAe vg - CROpOCTb nazteaaa IJ - ROj)lPlPUuueHT sayrpeaaero rpeaan Boapyxa U a- paAlfyc RanJIU yen CJIOBlfe
-mg==6ltYjavg (22)
AaeT B03MO~OCTb BLllIlfCJIUTb panayc xanna B caMOM AeJIe 000 3HaJIlfM nJIollHocTb Be~eCTBa xanna xepes a nJIOTHOCTb soanyxa lIepea p Torna npaaaaaa BO BHUMaHlfe qTO ~i maplfR C BeCOM
mg = ~ Itqag naAalO~lfH B soanyxe AencTByeT no aaxoay
ApxH~eAa e~e CUJIa aanpasneaaaa naepx U panaaa itatgl MY
MomeM nepenacars paseacrao (22) B BJlAe
4alta3 (a - p)g = 6ltYjavg
OTHYAa 3 J2V 12
a--middot g (23)- y2 (a- p)I2l 2 bull
llpeACTaBUM ce6e rerreps xro na nJIaCTlfHLl xoaneacaropa aashy lt rIOmeHa paaaocrr nOTeHUlfaJIOB BeJIUlIJlHa U aanpasneaae ROTOpoA rloAoopaHLl TaR qTOOLl xanenssra nOA AeAcTBueM 3JIeRTpUqeClRoro nOJIa iIOAHHMaJIa~ ssepx 060llHaqaa sepea vE CROpOCTbsroro nOA1gteMa ROTOpLltt RaR U rraneaae 6YAeT npoacxonarr pasaoshyMepHo MLl MomeM nanacarr
~e-mg = 6ltYjavE (24)
rne ~ - aanpaaseanocrr nOJIa BHyTpH xoaneacaropa lis (22)B ~(24) noaysaea
OOjU (v +v ) e= ~ g E
UJIH aaMeHUB HeAocTynHLlH aenocpencraeaaoay HSMepeBulO panaye aanna aero BLlpameBueM (23) lIepes Vg
1- fCV2 YJ32 e = 9y 2 II I(vg +vE) (25)
~(a-p) 2 g 2
1I0Hu3ya B03AYX MemAY nJIaCTUHaMlf aoaneacaropa (aanpaxep npa nOMO~H pearcenoacaax JIyqei) MomBO UaMeBHTp aapaJli HanaH
xanaa 0Ha 6YAel
14 8JIEHTPOH ErO 3APR~ If MACCA [r-a I
ECJnI npn aTOM BeJIUlJUny nanpaaceaaocra nOJIJl OCTaBllTb npeamcii TO CROpOCTb RanJIH H3MeHHTCJl H craner pannoii VB MhI UMeeM
_ 1 i - 1rv~2y12 e1 - 9 V 2 ~ 11 11 (Va +VB)
(a-p) 2g 2
oM6uuupyJl aTO nsrpazseune C (25) Han~eM
- 1rv~2YJg2 Se = e - e 1= 9V2middot ~ 1 11 (VB - VB) (26)
(a-p) 2g 2
113MeHJlJl lIeCROJIbRO pa3 3apJl~ MOllmO C onnoa H Ton me HanJIeH npOU3BeCTH 60JlbIIIOe lJUCJIO 1I3MepeUlill
sect 3 Ilpaarauecsoe ocymecrnaenae onura MHJIJIHKaHa
T~aTeJIbUO OTIIIIHepoBauHhIe nJIaCTlIUHH xonzreacaropa PI H P2 (puc 1) ynepxraaarorca na onpe~eJIeUHOMpaCCTOJlHIIII TOlJHO napanshyJJeJIbUO npyr ~pyry npa nOMOIIIH H30JIHpYlOIIIell npORJIa~RH JJ
Bopxaaa IIJIaCTHURa PI HMeeT B cepenaae ornepcrae 0 lJepe3 ROshyTopoe BUYTPb xoaneucaropa noshyt nanaror HcnhITyeMhIe RaneJIbRH MaCJIa paCnhIJIJleMOrO upn nOMOIIIH nYJIbBepH3aTopa B ~HJIHU~P C M3BeCTUO lJTO npn paCnhIJIeUHH mH~ROCTell 06pa3ylOIIIlIeCJl RanJIU ueCYT 3JIeRTpHlJeCRHn 3apJl~ TaR lJTO BHYTPb Rou~eucaTopa nona~ashy
PRe 1 Cxeva IWH~eHCaTOpa MUJIshy lOT yme 3apJllleUUhIe RanJIH qepea nmcana OROIIIRO F 1 xansnsxa OCBeIIIaeTCll
06hIlJUO CBeTOM nyr-n na6JIIO~eUHe me Be~eTCJl npn nOMOIIIn MHHpOCRona lJCpe3 OROIIIRO F g bull TaR RaR Ha6JIIO~eHHe npoacxonar B UanpaBJIeHIUI llepneU~IIRYJIJlPEIOM R OCshyBeIIIalOIIIcMy nylJHy CBeTa TO Bbl6paHUaJl xanenrxa B none 3peHHJl MHHpOCHona nanaa HaR aprcaa 3Be3~OlJRa ua TeMHOM epOHe (RaR n yJIbTpaMHRpOCIwnc) ORHO F 2 CJIymHT ~JIJl auxona nyxrea CBCTa TaH HaH nororomaacs CTeHHaMH HaMephI CBeT BhI3BaJI 6hI BHyTpH nee nepanuouepaoe aarpesaaao H nOTORH noanyxa MeIIIalO~He Ha6JIIOshy~ClIHJlM qepc3 TO llW OROIIIRO F 2 BUYTPb HOH~CHcaTopa MoryT 6bITb nponYIIICHbI pCHTrCHOBCIUlC JIylJH C03~aIOIIIHC HOHH3a~HIO nosnyxa B PC3YJIbTaTe HOTOpOll 3apJl~ RanCJIbHH MomCT 6blTb H3MCHeu TIOJIHaJl CXCMa YCTaHOBIH MHJIJIHH3Ua npaneneaa na pHC 2
M3MCpCHHC cxopocrn nanenarr HJIn nO~beMa RanCJIbRII npoaaaoshy~HJIOCb nyTeM onpC~CJIClIHJl npOIgtWllyTKa BpCMCHH uC06xo~lIMoro
~J]Jl npoxozanenaa Mem~y ~BYMll UHTJlMH pacnoJIOllWUUbIMII B eposhyHaJlbUOn WIOCROCTH MI1HpOCROna aa MCpy CHOpOCTII 6paJIa~agt
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otiparuaa BeJIHtIHUa 8TOrO npoxezsyraa spexeua B Ta6JlIUIe I npashyBe~eBO HeCROJIhRO peayzn-raroa n3MepeHuH MnJIJIUR=lHa Coshy
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[~_d~ it11 he 2 Cxexa YCTaHOBRU MUJIJIURllHa a-IICTOtIHIIR CBeTa w d-centIIJIhTpbtmiddot lmJl nororomenaa TeUJIOBhlX JIytIeu PIP2 - ROHJJeHcaTop AD - IlYJIhBe-shypaaarop JJJIH IlOJIytIeHIIH R8IleJIeR M8CJIa G-MaCJIHHaH BaHH8 (TepMocT8T)~
B-6aTapeH m-MaHoMeTp R-peHTreHoBcRaH Tpy6R8
Ta6JIIInaI
PaaHOCTLBpelllll qUCJIO00 aTHLIX06parHoe BpeMeH CARRnOllLeMft BpeMfJ
nOIl1gteManoLeMa n epe-B lIueRshy nOCJIeB onenshynepeaashy aapan-TpDI TpUI noae PllARH
RHnone -1 ---1r1
1B (B cex)
80708 001236
22375 00470
14056 000719
0012579600
34785 002870
n1E IE
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7003751
0005348 1
3001616
I
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nepeaashy
1 (rUl)ill I~-IE
0005390
0005358
000538
0005387
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1--)+1 nU E plusmn nr
009055 18 +6
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1 (aflll~) n ig+iB
0005366
0005371
0005375
0005374
0005376
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16 3JJERTPOH zr-o 3APR)J H MACCA [ra I
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ltDopMyJIa (25) rroxaausaer ITO a6COJIIOTHaH Be1JllqllHa aapana RarrJIII )]OmIltHa 6hlTb rrporropnaoaansna CYMMe Vg + VE (IlleCTOH
cToJI6e~ Ta6JIll~hl)
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llMeeT MeCTO B )]enCTBHTeJIbHOCTll HaROHe~ llacpaBHeHllH rrHToro
II socsuoro CTOJJ6IWB Bll)]HO ITO enaaana nepeaapanrca H e)]IIHH~a aapana Mem)]y co6oii COBrra)]aIOT onars-raxa C TOqHOCTblO )]0 Heshy
CIWJIbH11X e)]HHH~ B I1I1TOM aaaae TaRHM 06paaOM ananaa Ta6JlHQhl
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RBJIeHHM
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ORaaaJIOCb ITO ecna onpe)]eJIHTb aapan KaneJIeR paaJIllltJHoro
panayca TO npa yxeusnrenaa I10CJIe)]HerO snasane rrOJIyqalOTCH
llOCTOHHHhle aaassaaa e HO )]JIH OltJeHb MaJIeHbRHX RalleJIeK e 6hlCTpO noapacraer C YMeHbIlIeHlleM panayca TaRllM 06paaOM
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MHJIJIlm8H 06bHCHHJI 8TOT HBHO aecoofip aansni peayJIbTaT TeM
ITO aaROH CTORca HeJIb3H npHMeHHTb R )]BllmeHlllO OltJeUb MaJIeHbshy
RHX RarreJIeR )JenCTBHTeJIbHO aaHOH CTORca BhlBO)]HTCH B rrpe)]
llOJIOmeHHH ITO )]BHmy~eecH TeJIO HMeeT ltlopMy nrapa H ITO
cpena B KOTOpOH rrpOHCXO)]HT )]BHmeHHe - aerrpepsmaa Ilocnonshyuoe upemroaoaeenae aaaenoxro He onpasmasaerca xorna npa
l~BHmeHHH B raae paaxepsr RaneJIbRH CTaHOBHTcH cpaBHHMhlMH
CO Cpe)]HeH )]JIlIHOH CBo6o)]HOrO nYTH raaonsrx MOJIeRyJI TaRHM o6pashy
u 6aOM OTHOIlleHHe Ii cpenaea )]JIHHhI CBO O)]HOrO I1yTH R panaycy
xanna MomeT CJIymHTb xparepnen npllMeBHMOCTII HJIH HenplIMe-
BllMOCTll aaxoua CTORca eCJIll 8TO oruornenae MaJIO ( ~ 1) TO aaROH CTORca upaxenarr MOiKBO B npOTllBOnOJIOmHOM CJIyqaeshy
aaROH CTORca HerrpllMeHHM
I a] nPAHTMQECHOE OCymECTBJIEHI1E OnbITA MI1JIJIHH8HA 17
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OlJeHIgt MaJIeHIgtRHX xanenex 6LIJIO upennoateao nOJIIgt30BaTIgtCSI BMeCTO (21) CJIepyIOIllHM HCnpaBJIeUHLIM BLIpaiKeHHeM PJISI CTOHCOshy
BOH CHJILI 6ljaV gF _ (31)-
1+ A-a
me A - aexoropaa nOCTOSlHHaSl RaR BHPUO aTO BLIpaiKeHHe
nocrpoeao TaH lJTO npH A- -+0 OHO nepexonar B fJOpMyJIya Croxca (21) IIpH nosroma aroii HCnpaBJIeHUOM fJ0PMYJILI MLI nOJIyshylJaeM AJISI a6COJIIOTHOH BeJIHlJHlihI aapana BMeCTO (25) cnerryiontee BLIpaiKeHHe
9 V2middott Ij 312VI2
(VE+Vg )- ge- (a - p)I2l l2 ~(1+A~Y2 (32)
llTo6LI HaHTH a6COJIIOTHyIO BeJIHlJHHY aapana no aTOM fJopMyJIe aano 3UaTIgt nocToHHHyIO A Onaarco MHJIJIHHaU noxaaan RaHHM ofipaacxr MO~HUO uaMTH HCTHHHyIO BeJIHlJHllY aapana He npafieran R onpeAeJIeHHIO )TOM nocronaaofi
113 conOCTaBJIeUUSl fJOpMyJl (25) H (31) JIerRO HaHTH oraomeshyHHe BeJIHlJHHLI eo R aapSlAY BLIlJHCJIeHUOMY 6ea nonpanna
1
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e~3 ( 1+ A ~ ) = e23bull
Ho nnaaa caotiozraor-o npo6era A o6paTHO nponopnaonansaa naBneIIlIIO raaa p n03ToMY
e~3 (1 + a) = e23 (33)
IAe B - uexoropaa HOBaSl nOCTOHHuaSl ECJIH HaMeUSlTIgt naanenae p H AnSI Ramporo auaseaaa nanneshy
HHH BLIlJHCnHTIgt RamYIllYIOcSI nenaxany aapana e (6ea nonpaaxa eZ13TO COrJlaCHO fJopMyne (33) MeiKAY H 1 pa poniKUa HMeTIgt
MeCTO nnueMuaSl aaBHCHMOCTIgt Hpn aTOM TaR HaR lJneu Blpa B fJopMyne (33) arpaer ponlgt
ManoM nonpanrca TO B HalJeCTBe panayca xannn a MOiKHO B3HTIgt BenHlJnHY BLIlJHCJlHeMYIO no ueacnpaanenaoii fJopMyJIe CTOHca CM fJ0PMYJlY (23)] B caMOM AeJIe HOHCTaUTa B cor-nacuo HaMeshypeUHHM MHJlJIHHlHa panaa
~B = 0000617 l
2 a B mnOJlbctt T I ~ r ~ i ~i~
ilild~ll bull 11l ~------
8
18 3JIEHTPOH sr-o 3APHD n MACCA [r-a I
eCJIn p naMepeHO B CUHTnMeTpax pTyTHoro cToJI6a n a-B caHTn-MeTpax
Pnc 3 rne oca opnnaar
7
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zoo f 300 liDO pOD nYTH) HaiigeM e2a = e~a pa arnr e =eo TaRHM o6pashy
Pac 3 aOM gJIH aaxoamenaa nCTMHHoro aHaIeHHH aashy
pana BJIeRTpOHa eo gocTaTOtIHO BRCTpanOJIIlpOBaTb npHMYIO go nepe-CeleHMH ee C OCbIO opnanar
Ha middotpMC 4 npaaenema tIeTbIpe cnocorioa PJIH tIaCTII~ paaJIMtIHOII B noanyxe I I - xansns-Rn MaCJIa B sozropone I I 1- RaneJIbRM pTyTM B sosztyxe IV -TIaCTn~1iI
lIIeJIJIaRa B soanyxe Bee IeTbIpe npmnre nepeceshyRaI9T OCb opnauar B 00- ~
HOH TOIRe aapHo BJIeR- ~70
TpOHa He aaBMCMT HM OT npaponsr tIaCTM~ HH OT IIPMPOgliI raaa oRpymashyiomero IaCTMI(bI
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npmnae nocrpoeaaue TaRIIM me
npapojrsr I - RaneJIbRM MaCJIa
500100ZOO I 300100
75f----+---+7shy
80--------
po Pac 4
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sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
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-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
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laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
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v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
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811 ( e2)2 811 2 dege=-3- mes = 3 roo
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21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
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m=mm+Ci=m+ 2acs
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A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
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MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
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MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
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nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
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mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
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c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
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or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
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sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
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Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
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nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
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B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
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nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
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necax cymecmyror raroxe aTOMbI 06JIa)aIOrnlIe pa3JIHtIHbIMlI CBOHshy
ClBaMlI npa O)lIHaHOBbIX aTOMHbIX necax (1I306apbI CM T II rn XVIII)-
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lyrnecTBeHHbIH np1I3HaH amoua OCHOBHOH xapaHTeplICTHHOH 8JIeshy
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nOJIOmeHlIe onpenerraerca HOMepOM MeCTa 3aHlIMaeMoro )aHHbIM
meMeHTOM B Ta6JIlI~e Meaneneena rJIy60HaH npanaaa BamHOCTlI
aroro qlICJIa naaraaaesroro amOMHb~M HOMepOM COCTOlIT B TOM ITO
OHa HBJIHeTCH na caMOM nene He rrpOCTO rropH)HOBbIM HOMepOM
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pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
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pacmapeaaa ~ 10amp HII)ltRRIJ KplIBalJ-K09centicentiHIHeHT ClRHMaeMOCTH lCmiddot 106 bull
B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
CTBaMH ITo Mepe nponaaareaaa nnpaao 06a aTH CBOMCTBa aaMeTHO
OCJIa6JIHIOTCH H nOCTeneHHO npOHBJIlUOTCH CBolIcTBa npOTHBOnOJIOmshy
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JIHTHfI OH flBJIHeTCfI THnHqHMM MeTaJIJIOH)JOM H 06JIagaeT peSRO
BLIpamemrnMH RHCJIOTHMMH CBolIcTBaMH IJaJIee cnenyer 6JIaropogshy
BLIH raa HeOH a aa HHM lI(eJIoqHOlI MeTaJIJI HaTpHH (M 11) II BCH
xaprana npezrsmymero nepaona nOBTopHeTCH TaR qTO xepea aoceus 3JIeMeHTOB (CqHTaa H HaTpHH) MM BHOBb ncrpeaaea lI(eJIOqHOH MeTaJIJI
RaJIHH ROTOpOMy npenmecrnyet 6JIaropogHMlI raa apron (M 18) Ilepexon OT THnHqHMX MeTaJIJIOB R THnHqHMM MeTaJIJIOHAaM rrpoacxoshy
nHT xepea laquoaMltpoTepHMHraquo aJIeMeHT-RpeMHnlI (M 14) ROTOpMit 06shy
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-- ---
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5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
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18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
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I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
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rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
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OrJIABJIEHHE
DP0roltlCJIOBlIe KO BTOpOMy Hll)JaHlIIO bull
118 npenacaoaaa K nepnony lI3)laHlIIO 8
rna B a 1 BlIOBTpOB oro aapsA B Macca bull bullbull bull 11 sect 1 OTKpLITlIe llJIeKTpOHa (11) sect 2 Onpeneneaae aapana anexshy
TpoBa (1-2) sect 3 Ilpaaraxecxoe ocymecrnneaae OIILlTa MlIJIJIlI-Raila (14) sect 4 ~BlImeHRe aaererpona B eneKTplIq~CKOM II MBrHlITHOM Donllx (19) sect 5 8neKTpoH B nponomaoa eneKTpOCTaTlIqeCKOM none (24) sect 6 8KcneplIMeHTanbHbIe MeTO)lhI onpeneaeiraa y)lenbshynoro sapsna (25) sect 7 Onpenenenae ynemsoro aapana anexrpoaa no MeTony nnyx KOH)leHCaTOpoB (27) sect 8 Onpeneneaae ynensnoro aapana anexrpoaa no MeTO)ly epOKyCBpOBKIJ npononsasss MarHBTshyJlbIM nonex (29) sect 9 1Il0KycRpoBKs R MOHOXPOMSTR3SlIRII nylKOB sapllmeHHhIx qaCTRlI (32) sect 10 3aBRcRMoCTb MaCChI anexrpoaa OT ero CKOpOCTll (36) sect 11 8neKTpOMarHIJTHall xacca (41)
naB a 11 ATOMId lIaoTouhI bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bullbull 46 sect 12 Bseneaae (46) sect 13 Ilepaonasecaaa CRCTeMa aneMeHTOBmiddot ~ H Meaneneeaa (47) sect 14 Onpeneneaae HCTIJHHhIX Macc STOMOB MeTO)l napafion (54) sect 15 Macc-crrexrporpadnr (57) sect 16 Maceshy
cnexrpoxerpsr R Mscc-crreKTporpsephI C )lBoiiHOii epOKyCRpOBKOi (65) sect 17 MacchI U rrponeuraoe conepssaaae-aaororroa (70) sect 18 Pa3shy
o neneBlIe 1l30TOnOB C nOMO~bIO MeTopOB OCHOBaBHhIX na )llIepepy3RlI (71) sect 19 Pasneneaae IlBOTOnOB MeTO)lOM TepMO)luepepy3RH (77) sect 20 Pas-
~neHlleBSOTOnoB C nOMOmbIO eneHTpoMarHuTHhIx MeTO)lOB (82) ~ sect 21 -Paanenenae R30TorrOB C rrOMOU1bIO MeTO)lOB eppaKlIROHUpOBaHHoi
neperonxa II 06MeHHhIx peaKulIH (86) sect 22 Paanenenae U30TonOB MeTO)lOM neHTpuepyrupoBaHulI (88) sect 23 Iloayxeuae Tllmenoro lI30shyTOUS nonopona (neiiTeplIlI) R Tlllitenoii DO)lhI (90)
t n S 11 a 111 HAepBoo erpoenae aTOMa bull bull bull bull bull bull bull bull bull bull bull bullbull ~5 sect 24 8epepeKTuDHoe ceaeane )lnll pacceanaa laCTUlI (95) sect 25 30Hshy
ilIlpOD8HHe aTOMOD ImeHTpOHaMlI (98) sect 26 Csoacraa a-qaCTlIlI (100) sect 27 Teopaa pacceaaaa -qaCTUlI (104) sect 28 8KcnepuMeRTanbHall nponepxa epopMynhI Pe3epepop)la (107) sect 29 Onpenerrenae aapana snpa (109)
rna D a IV Penrreneaexae J1ylu H ax npaaeneaae R OUPOAOliOUBIO aTOMBLIX BOBCTRBT bull bull bull bull bull bull I 111
sect 30 PeHTreHODCKue nyqu (111) sect 31 Iloraomeane penereuoncxax nyqeif (115) sect 32 Pacceaaae peHTreHODCKRX nyqeii (119) sect 33 ~RepshyeppaKlIRII penrreaoncnax nyqeii D HpuCTannRqeCKOii pemerxe (121) sect 34 8KcnepRMeHTanbHoe ocymecrsaeaae )luepepP~lKlIRR peHTreHODCKRX
1
4 OrJIABJIEHHE
JIyqeii (127) sect 35 Onpeneaeaae )JIUHLl BOJIHLI penrreaoncaax cnenshyTpaJIbHLIX lUHUK (132) sect 36 CneKTpLI pesrreaoscaax JIylei (134) sect 37 3alwH Moserra (136) sect 38 A6cOJIIOTHOe onpenenenae AJIUHLI BOJIHbl pearreaoscaax JIylei (140) sect 39 Onpeneneaae nocToHHHOH Asoranpo U aapana 8JIeKTpOHa (143) sect 40 yenAeJIbHLIH aapan 8JIeKTpOHa (147)
r JI a B a V Orpoeaae aTOMa B KlIaCCUIeCRaa lJIu3UKa bull 149
A R JI a CCU I e CK a H Me x a H H K a H CT poe H H eaT 0 M a bull 149
sect 41 AToMHLIe MOAeJIH (149) sect 42 3aKoH coxpaaeaaa BHeprHR B MexaHHKe (150) sect 43 lloTeH~HaJIbHLIe KpHBLIe (153) ~ 44 JIuHeuHLIH rapMOHHIeCKHi OC~UJIJIHTOP (156) sect 45 HOMnJIeKCUOe npeACTaBJIeHUe KOJIe6aHUi (160) sect 46 PaSJIOmeHHe B cnexrp (162) sect 47 IeHTpaJIbHLIe CHJILI RUHeTUIeCKaH aaepraa B nOJIHpHLIX KooPAHHaTax (167) sect 48 f]BHmeHue B neHTpaJIbUOM nOJIe (168) sect 49 Hennepoaa aanasa (170) sect 50 Gl-1aCT~a B nOJIe anpa (174) sect 51 npHBeAeHHaH Macca (176) sect52 0606meHHLIe KOOPAHHlTLICOcToHHue cucTeMLI(179) sect 53 ltDyHKshyUUH Jlarpamaa yenpaBHeHuH Jlarpamsa (180) sect 54 Ilpaaeaeaae ypasshyHelld Jlarpamaa K saAale 0 ~eHTpanblloM AUlilRellHH (183) sect 55 0606shymeuHLle UMnYJIbCLI (186) sect 56 faMUJIbTOHOBLI KaIpoundOHHIeCKUe ypanaeshyHUll (188) sect 57 ltDuaUIeCKUH CMLlCJI epYHK~UU raMUJIbTOHS (190) sect 58 IHKJIUIeCKlie KooPAuHaTLI (193) sect 59 Crw6KlI Ilyaccoua 3aKoHbi coxpaaeaaa (195) sect 60 f]BHlReHHe B BJIeKTpOMSrHHTHOM nOJIe (199) sect 61 Mexanaxa 6LICTpOABHlRYmUXCH 1aCTUll (204)
B lLiisccHIecKaH r e o p a a 8JIeITpOMarHHTHoro a a a yshyl e H 0 JI~ bull bull bull ~ bull 0 bull bull bull bull bull bull bull bull bull bull i bull bull bullbull 209
sect 62 BJIeMeHTSpllLle neurpu acnycxaaaa cnera (209) sect 6 aJIeHshyrpoxaraaraoe HSJIyleHue nUHeiHoro OC~HJIJIHTOpa (21Q) sect 64 JIOJIHOe H tpe~ee lIJJII8Hwemiddot oe~lIooll1opa (l11i) sect 65 8JIeKTpOMarHHTHblH cneserp HerapMOllHICCKOrO ocnannaropa (215) sect 66 3sTyxaHHe Kone6sshyHuij (217)sect 67 JIYtJucToe rpeaae (220) sect 68 Hnrerpan ltDypbe U cnnomshyHoi cneietp (224) sect69 ECTeCTBellHaH mapasa cnearpansmar JIUllHH (228) pO f]pyme I1puMeploieneKTpaJIhHOrO paSJlOlReHHH aenepaoaaxeshyCKUX npoueccon (230) sect 71 llJI8UeTapSftH MOJJenb aTOMa (234) sect n 9p~ 6HJSJIbHLIH MarHlITHLIH MOMeHT n reopena Jlapaopa (B5) sect 73 8epepcentKT 3ellMalla (238) sect 7J 3epepeKT 3eeMsHa 06mnB cnylaH (242) bull
r JI S B a VI lIalIyleoRe a(jcolIIOTHO 1l1popro TellS R rRDOTeasBBaJI- TOB 9BeprRB bull bull bull bull bull bull bull bull bull bull bull bullbull 246
sect 75~ RnaCCHleCKaHepH3uKa n np06neMs rennosoro llsnYlcHllH (246) sect 7l1 Paaaosecaoe asnyseaae B nOJIOCTH (249) sect 77 3aKoH Rupxshyroclm (251) sect 78 3aKOHLI USJIyleHuH a6conlOTHo 1epnoro TeJIa(253) sect 79 BdcnepuMekTaJIlgtlloe nclJIeJ]oBaHue saKOHDB reanoaoro nSJIyshy1eHlll (256) sect 80 Teopeaa 0 paBllOMlpH9M pacnpeneneaaa aaepraa no CTeneHHM cB060AM (257) sect 81 ltDopMyJIaPaJIeH-[lRIlUCa (260) sect 82 laquo(yenJIbTpaepHoJieToBalI KaTacTpoepa~ (262) sect 83 ltDopMyna IIJIaKshyla (263) sect 8ft Iano resa KBaHTOB snepraa (265)
r 1I a B a Yl I YpOBHU 9HeplRH aTOMOB bullbullbullbullbullbullbullbullbullbullbullbullbullbullbull~j69
c sect amp5 JIJJaieTa~)HjlH ~oAell~ aT-M8 II RBaHTOBLIe nocTYJIaTY Bopa (269) 86 OIILITLI ltDpaHHa H Iepua (270) sect 87 yennpyrne cOYAashypeaaa (274) sect 88 Heynpyrne coynapeaaa HpHTHleCKUe nOTeHshy~UaJIbl (276) sect 89 yencoBepmeHcTBoBsHue 8KcnepHMeHTSJIbHOH MeTO~ lUIltJl (278) sect 90 OAHoBpeMeHHoe onpeneaenae ncex crynenez BOSshy6yacaeHIIlJ (279) sect 91 Onpeneneaae uouusa~UOHHLIX nOTeH~Ha-
r l
orJIABJIEHHE
nOB (282) sect 92 M3nyleHRe B036ymlJeHHhIX aTOMOB (285) sect 93 CnoashyTaHHOe II3nYleHlIe (287) sect 94 BhIHymlJeHHOe II3JIyleHHe H nornomeshy
Hue (290) sect 95 ahIBO) epOPMYJIhI IInaHl3 no 9iiHmTeiiHy (291)
n a a a aTOMa
VIII CnCSTpalILDLIC bull bull bull bull bull bull bull bull bull bull
CCpRU bull bull bull
B pOBDD bull bull bull bull bull
3DcprUB BOiJopOiJHoro bull bull bull bull bull bull bull bull bull bullbull 29
sect 96 Cepna Bamerepa (294) sect 97 CepHR JIaihraHa Ilamena II pp 0606~eHHaa epopMyJIa Bansuepa (297) sect 98 Cnexrpamarsre TepMhI ROM6IIHa~HoHHhIii npaauan (299) sect 99 RBaHToBaHHe xpyroaux
Op6HT (301) sect 100 Teopan Bopa (304) sect 101 IIplIMeHeHHe npetrsrshylJ~eH TeopHH OTRphITHe TflmeJIOrO H30Tona BOIJOpOlJa (308) sect 102 Cepan IIIIHepHHra IICneRTphI BOlJopoIOnOAo6HhIX lIOHOB (310) sect 103 0 CDeRrpocROnHIeCROM onpeneneaaa ylJeJIhHOrO aapsna anexrpoua (312)bull
sect f04 LJrtatpaMMht yponnea SHeprHH (314) sect 105 Ipaansmaa cnnornshyHOH cnexrp aronaoro BOIJOpOlJa (315) sect 106 HBaHToBaHHe BOIJOpOAOshynonoeaoro aTOMa no Bopy-30MMepltpeJIhlJy (317) sect 107 IIPHHlIHII COOTBeTCTBHfI (325) sect 108 HPH3HC reopaa Bopa (330)
a a B a IX CBeToBLle KBaBTLI bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bullbull 33
e middot109 lImyenRTYa~HRcBeToBoro noaa (332) sect 110 ltDoTosepepeRT l(ypaBHeHlIe 9IIHillTeHHa (337) sect 111 hCIIepHMeHTaJIbHafi nponepxa j1paBHeHHfI 9nHmreHHa (340) sect 112 HOpOTROBOJIHOBafi rpaaana
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sect 122 Bnenenac (370) sect 123 IIJIocRaH MOHoxpOMaTIIleCRaH BOJIHa B OIJHOpOIJHOH cpe)e (371) sect 124 BOJIHOBOe ypaanenae (373) sect 125 Cynepn03HIJHH IIJIOCRHX BOJIH (375) sect 126 BOJIHOBOrr I1aReT (377) sect 127 ltDi30BaH H rpyrmonaa CROpOCTH (381) sect 128 HopIlycRynHpHo-BOJIHOBOH I1apaJIJIeJIH3M Ilpenouneuae csera (384) sect 129 HopnycshyRyJIHpHO-BOJIHOBOH I1apaJIJIeJIH3M 9epepeRT AOIIIIJIepa (388) sect 130 HopshynyCRyJIHpHO-BOJIHOBOii I1apaJIJIElJIH3M AHepeppaRlIHOHHaH pemeTRa (389) sect 131 fHIIOTe3a lJe-BpOrJIH (391) sect B2 CBoncTBa BOJIH Ae-BporJIJI (393) sect 133 9RcIIepHMeHTaJIhHOe rronrnepzsnenae rlIIIOTe3hI )e-BporJIJI Meron Bparra (396) sect 134 IIpeJIoMJIeHHe aJIeRTpOHHhIX BOJIH II BHYshyTpeHHfIH nOTeH~IIaJI MeT3JIJI3 (401) sect 135 9RcnepHMeHTanhHoe I101Jshy
TBepmlJeHIIC rIJnOTe3hI Ae-BporJIJI MeTOlJhI JIaya II Ae6alI-illepshypepa (403) sect 136 MHTepepepeHlIHOHHhIe JIBJIeHHJI C MOJIeRyJIlIpHhIMH nylRaMH (409) sect 137 BOJIHODOll naxer II sacrana (410) sect 138 CTaTHshyCTHleCROe HCTonROBaHHe nona lJe-BporJIJI (412) sect 139 CooTHOmeHHJI HeOnpeAeJIeHHOCTII (414) sect 140 Onpenenenae MeCTa H HMnyJIbCa MHRp0laC1H~hI (417) sect 141 OillH6olHhIe TOJIROBaHHJI coornourenaa HeOnpeAeJIeHHOCTH (423) sect 142 CooTHomeHHII HeOnpelJeJIeHHOCTII H npammn npHlIlHHOCTH (428)
f JI a B a XL YpaBDeDue Illpennarepa bull 43
sect 143 YpaBHeHHe Illpennarepa ll epH3HleCRIIll CMhICJI ero peme-HHH (434) sect 144 Orpaacenae II npoxoamenae sepee I1oTeH~HaJlbHhIii 6apbep (441) sect 145 IIoTeH~HaJIbHhIH fiapsep ROHelHOH mHpuHhI (450)
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VI Oproroaansnocrs II HOpMHpoBaHlIe coricrseaaux qYHH~HH ocnanshynaropa 516
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~e-mg = 6ltYjavE (24)
rne ~ - aanpaaseanocrr nOJIa BHyTpH xoaneacaropa lis (22)B ~(24) noaysaea
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pana BJIeRTpOHa eo gocTaTOtIHO BRCTpanOJIIlpOBaTb npHMYIO go nepe-CeleHMH ee C OCbIO opnanar
Ha middotpMC 4 npaaenema tIeTbIpe cnocorioa PJIH tIaCTII~ paaJIMtIHOII B noanyxe I I - xansns-Rn MaCJIa B sozropone I I 1- RaneJIbRM pTyTM B sosztyxe IV -TIaCTn~1iI
lIIeJIJIaRa B soanyxe Bee IeTbIpe npmnre nepeceshyRaI9T OCb opnauar B 00- ~
HOH TOIRe aapHo BJIeR- ~70
TpOHa He aaBMCMT HM OT npaponsr tIaCTM~ HH OT IIPMPOgliI raaa oRpymashyiomero IaCTMI(bI
OnbITbI MHJIJIMRBHa HMeIOT 60JIblIIOe npIIH~Mshynaansuoe anaseaae TaR RaR OHM C nOJIHoii OIeshyBlIgHOCTbIO pORaaIiIBaIOT aTOMIICTMIeCHYIO npnposhy
npmnae nocrpoeaaue TaRIIM me
npapojrsr I - RaneJIbRM MaCJIa
500100ZOO I 300100
75f----+---+7shy
80--------
po Pac 4
~y BJIeRTpllleCROrO aapana IIo aenasaero BpeMeHM raxace H a6COJIIOTHOe aaaaenae aapHg8~J BJIeRTpOHa e = 4770 10-10 CGSE nOJJyIeHHOe 11M CIlITaJIOCb Ha1l60JIee t TOIHbIM COBepmeHHO Heshyomnp8HHO onaaxo BbIHCHMJIOCb ITO ltlTO ananeane copepmllT cncrashy
sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
-8
$
C
-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
Ilepnaa Ta6JIIIlla 6hIJIa ony6JIlIROBaHa MeH)IeJIeeBhIM B 1869 r
R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
nOplI)IOR CJIe)lOBaHJllI Hepenxo 3TJI Jl3MeHeHII1I 6hIJIJI necsua cymeshy
CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
14013) aTOMHhIe neca ropaa JI ypaHa no )IaHHhIM roro BpeMeHJI
6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
MeCTa pOJDRHhI 6hITb 3aHHThI eme He OTRPhIThIMJI 3JIeMeUTaMJI
B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
pue OH Ha3BaJI 3Ha60pOM 3RaaJIIOMJlHJleM JI 3RaCJlJIHllJleM JI onacazr
JlX CBoHCTBa Bcxope nOCJIe aroro B 1875 r 6hIJI OTRphIT 3JIeMeHT
ua3BaHHhIfI raJIJIlI8M MeH)IeJIeeB TOTIaC me YRa3aJI na TO ITO raJIJIJlH
JI ecrr rrpencxaaaumrti JIM 3HaaJIIOMJlHJlH JI ITO OH pOJImeH JlMeTb aTOMshy
UhIH nee OROJIO 68 y)leJIbHhIH sec 60-59 JI aTOMHhIIf 061gteM 115 Ha caMOM )IeJIe -aToMHhIH aec raJIJIlIlI ORa3aJIClI paBHhIM 699 ynernshy
HhIH nee 596 II a TOMHhIH 061gt eM 117 OCHOBHOH epaRT 113 xoroporo IICXO)lJlJI p YI MeH)IeJIeeB npJl
nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
TO 3JIeMeHThI C aHaJIOrHIHhIMH CBOHCTBaMlI nepllO)IIIIeCHlI nOBTOshy
pHIOTClI MCXO)lR 113 aroro eMy ynanocs nOCTpOIlTb laquoeCTeCTBeHshy
UYIO CIICTeMY 3JIeMeHTOBraquo xoropaa ORa3aJIaCb npaBIIJIbHOH Heshy
CMOTpH aa TO ITO aTOMHhIH nee HaR BhIHCHIIJIOCb BnOCJIe)lCTBIIII_
A TOMbI H30TOITbI [roll II
He MomeT CqHTaTbCH HOHCTaHTOH 0)H03HatIHO onpenenmomea IIH)HBH)yaJIbHbIe CBOHCTBa aTOMa AeHCTBHTeJIbHO HHme MbI YBH)lIM
ITO cyrneCTBYIOT aemecraa xoropsre B XlIMlItIeCHOM OTHomeHlIlI nenyr
ce6H npaHTlItIeCHH o)lIHaHoBbIM 06pa30M aecaorpa na TO ITO lIX
ATOMHbIe neca pa3JIlItIHbI Taxae nemecrna Ha3bIBaIOTCH usomonauu TaH HaH BCJIe)CTBlIe lIX XlIMlItIeCHOH Tom)eCTBeHHOCTlI lIX He06xo)lIMO
IIIQMernaTb ua O)HO II TO me MeCTO B nepaonasecxon ClICTeMe (CJIOBO
laquoH30TOnbI) B 6yHBaJIbHOM nepenone C rpesecreoro oaaasaer laquo3aHlIMaIOshy
1U1Ie O)HO II TO me MeCTO)) XlIMlItIeCHlIe 8JIeMeHTbI aa caMOM neshy
JIe HBJIHIOTCH CMeCHMlI 1I30TonOB a HX aTOMHbIe seca onpezrenaeshy
MbIe 06bItIHbIMlI XlIMlItIeCHlIMlI MeTo)aMlI-cpe)HlIMlI 1I3 aTOMHbIX
BeCOB ncex otipaayionrax lIX 1I30TorrOB Hapany C aTOMaMlI 06JIashy
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necax cymecmyror raroxe aTOMbI 06JIa)aIOrnlIe pa3JIHtIHbIMlI CBOHshy
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middot~JiIOinl Bll~HO ITO nee ara CBOHCTBa He rozirxo HcnLITLIBaIOT nepaoshy
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pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
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B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
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11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
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3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
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sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
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II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
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rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
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IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
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BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
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Z2 - m = IiA2
x (141)
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JIyqeii (127) sect 35 Onpeneaeaae )JIUHLl BOJIHLI penrreaoncaax cnenshyTpaJIbHLIX lUHUK (132) sect 36 CneKTpLI pesrreaoscaax JIylei (134) sect 37 3alwH Moserra (136) sect 38 A6cOJIIOTHOe onpenenenae AJIUHLI BOJIHbl pearreaoscaax JIylei (140) sect 39 Onpeneneaae nocToHHHOH Asoranpo U aapana 8JIeKTpOHa (143) sect 40 yenAeJIbHLIH aapan 8JIeKTpOHa (147)
r JI a B a V Orpoeaae aTOMa B KlIaCCUIeCRaa lJIu3UKa bull 149
A R JI a CCU I e CK a H Me x a H H K a H CT poe H H eaT 0 M a bull 149
sect 41 AToMHLIe MOAeJIH (149) sect 42 3aKoH coxpaaeaaa BHeprHR B MexaHHKe (150) sect 43 lloTeH~HaJIbHLIe KpHBLIe (153) ~ 44 JIuHeuHLIH rapMOHHIeCKHi OC~UJIJIHTOP (156) sect 45 HOMnJIeKCUOe npeACTaBJIeHUe KOJIe6aHUi (160) sect 46 PaSJIOmeHHe B cnexrp (162) sect 47 IeHTpaJIbHLIe CHJILI RUHeTUIeCKaH aaepraa B nOJIHpHLIX KooPAHHaTax (167) sect 48 f]BHmeHue B neHTpaJIbUOM nOJIe (168) sect 49 Hennepoaa aanasa (170) sect 50 Gl-1aCT~a B nOJIe anpa (174) sect 51 npHBeAeHHaH Macca (176) sect52 0606meHHLIe KOOPAHHlTLICOcToHHue cucTeMLI(179) sect 53 ltDyHKshyUUH Jlarpamaa yenpaBHeHuH Jlarpamsa (180) sect 54 Ilpaaeaeaae ypasshyHelld Jlarpamaa K saAale 0 ~eHTpanblloM AUlilRellHH (183) sect 55 0606shymeuHLle UMnYJIbCLI (186) sect 56 faMUJIbTOHOBLI KaIpoundOHHIeCKUe ypanaeshyHUll (188) sect 57 ltDuaUIeCKUH CMLlCJI epYHK~UU raMUJIbTOHS (190) sect 58 IHKJIUIeCKlie KooPAuHaTLI (193) sect 59 Crw6KlI Ilyaccoua 3aKoHbi coxpaaeaaa (195) sect 60 f]BHlReHHe B BJIeKTpOMSrHHTHOM nOJIe (199) sect 61 Mexanaxa 6LICTpOABHlRYmUXCH 1aCTUll (204)
B lLiisccHIecKaH r e o p a a 8JIeITpOMarHHTHoro a a a yshyl e H 0 JI~ bull bull bull ~ bull 0 bull bull bull bull bull bull bull bull bull bull i bull bull bullbull 209
sect 62 BJIeMeHTSpllLle neurpu acnycxaaaa cnera (209) sect 6 aJIeHshyrpoxaraaraoe HSJIyleHue nUHeiHoro OC~HJIJIHTOpa (21Q) sect 64 JIOJIHOe H tpe~ee lIJJII8Hwemiddot oe~lIooll1opa (l11i) sect 65 8JIeKTpOMarHHTHblH cneserp HerapMOllHICCKOrO ocnannaropa (215) sect 66 3sTyxaHHe Kone6sshyHuij (217)sect 67 JIYtJucToe rpeaae (220) sect 68 Hnrerpan ltDypbe U cnnomshyHoi cneietp (224) sect69 ECTeCTBellHaH mapasa cnearpansmar JIUllHH (228) pO f]pyme I1puMeploieneKTpaJIhHOrO paSJlOlReHHH aenepaoaaxeshyCKUX npoueccon (230) sect 71 llJI8UeTapSftH MOJJenb aTOMa (234) sect n 9p~ 6HJSJIbHLIH MarHlITHLIH MOMeHT n reopena Jlapaopa (B5) sect 73 8epepcentKT 3ellMalla (238) sect 7J 3epepeKT 3eeMsHa 06mnB cnylaH (242) bull
r JI S B a VI lIalIyleoRe a(jcolIIOTHO 1l1popro TellS R rRDOTeasBBaJI- TOB 9BeprRB bull bull bull bull bull bull bull bull bull bull bull bullbull 246
sect 75~ RnaCCHleCKaHepH3uKa n np06neMs rennosoro llsnYlcHllH (246) sect 7l1 Paaaosecaoe asnyseaae B nOJIOCTH (249) sect 77 3aKoH Rupxshyroclm (251) sect 78 3aKOHLI USJIyleHuH a6conlOTHo 1epnoro TeJIa(253) sect 79 BdcnepuMekTaJIlgtlloe nclJIeJ]oBaHue saKOHDB reanoaoro nSJIyshy1eHlll (256) sect 80 Teopeaa 0 paBllOMlpH9M pacnpeneneaaa aaepraa no CTeneHHM cB060AM (257) sect 81 ltDopMyJIaPaJIeH-[lRIlUCa (260) sect 82 laquo(yenJIbTpaepHoJieToBalI KaTacTpoepa~ (262) sect 83 ltDopMyna IIJIaKshyla (263) sect 8ft Iano resa KBaHTOB snepraa (265)
r 1I a B a Yl I YpOBHU 9HeplRH aTOMOB bullbullbullbullbullbullbullbullbullbullbullbullbullbullbull~j69
c sect amp5 JIJJaieTa~)HjlH ~oAell~ aT-M8 II RBaHTOBLIe nocTYJIaTY Bopa (269) 86 OIILITLI ltDpaHHa H Iepua (270) sect 87 yennpyrne cOYAashypeaaa (274) sect 88 Heynpyrne coynapeaaa HpHTHleCKUe nOTeHshy~UaJIbl (276) sect 89 yencoBepmeHcTBoBsHue 8KcnepHMeHTSJIbHOH MeTO~ lUIltJl (278) sect 90 OAHoBpeMeHHoe onpeneaenae ncex crynenez BOSshy6yacaeHIIlJ (279) sect 91 Onpeneneaae uouusa~UOHHLIX nOTeH~Ha-
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sect 96 Cepna Bamerepa (294) sect 97 CepHR JIaihraHa Ilamena II pp 0606~eHHaa epopMyJIa Bansuepa (297) sect 98 Cnexrpamarsre TepMhI ROM6IIHa~HoHHhIii npaauan (299) sect 99 RBaHToBaHHe xpyroaux
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sect f04 LJrtatpaMMht yponnea SHeprHH (314) sect 105 Ipaansmaa cnnornshyHOH cnexrp aronaoro BOIJOpOlJa (315) sect 106 HBaHToBaHHe BOIJOpOAOshynonoeaoro aTOMa no Bopy-30MMepltpeJIhlJy (317) sect 107 IIPHHlIHII COOTBeTCTBHfI (325) sect 108 HPH3HC reopaa Bopa (330)
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e middot109 lImyenRTYa~HRcBeToBoro noaa (332) sect 110 ltDoTosepepeRT l(ypaBHeHlIe 9IIHillTeHHa (337) sect 111 hCIIepHMeHTaJIbHafi nponepxa j1paBHeHHfI 9nHmreHHa (340) sect 112 HOpOTROBOJIHOBafi rpaaana
ermoillHoro penrreaoncxoro cneRTpa (343) sect 113 TOlHOe onpcneshyJIeHlie IIOCTOflHHOH IIJIaHRu (344) sect 114 ApyrueollhIThI ofinapyshymHBaIO~He xoprrycxyrmpuue CBoHcTBa CBeTa (346) sect 115 ltDJIyRTyashy~HH cneroaoro I10TOR3 (J48) sect 116 Pacceanne peHTreHoBcRHX JIyleil (BOJIHOBaH reopna) (351) sect 117 9epepeIT HOMIIToHa (356) sect 118 9JIeshyMeHTapHaH reopas sepepeRTa HOMIITOHa (358) sect 119 8JIeRTpOHhI OTIalH (361) sect 120 8JIeMeHTapHhIe aRThI pacceanaa II 3aROHhI coxpashyHeHHH (365) sect 121 8RcIIepHMeHTaJIbHOe IIoATBepmAeHHe npHMeHHshyMOCTH 3aROHOB coxpaneuas R sneMeHTapHhIM aIltTaM pacceaaaa (367)
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sect 122 Bnenenac (370) sect 123 IIJIocRaH MOHoxpOMaTIIleCRaH BOJIHa B OIJHOpOIJHOH cpe)e (371) sect 124 BOJIHOBOe ypaanenae (373) sect 125 Cynepn03HIJHH IIJIOCRHX BOJIH (375) sect 126 BOJIHOBOrr I1aReT (377) sect 127 ltDi30BaH H rpyrmonaa CROpOCTH (381) sect 128 HopIlycRynHpHo-BOJIHOBOH I1apaJIJIeJIH3M Ilpenouneuae csera (384) sect 129 HopnycshyRyJIHpHO-BOJIHOBOH I1apaJIJIeJIH3M 9epepeRT AOIIIIJIepa (388) sect 130 HopshynyCRyJIHpHO-BOJIHOBOii I1apaJIJIElJIH3M AHepeppaRlIHOHHaH pemeTRa (389) sect 131 fHIIOTe3a lJe-BpOrJIH (391) sect B2 CBoncTBa BOJIH Ae-BporJIJI (393) sect 133 9RcIIepHMeHTaJIhHOe rronrnepzsnenae rlIIIOTe3hI )e-BporJIJI Meron Bparra (396) sect 134 IIpeJIoMJIeHHe aJIeRTpOHHhIX BOJIH II BHYshyTpeHHfIH nOTeH~IIaJI MeT3JIJI3 (401) sect 135 9RcnepHMeHTanhHoe I101Jshy
TBepmlJeHIIC rIJnOTe3hI Ae-BporJIJI MeTOlJhI JIaya II Ae6alI-illepshypepa (403) sect 136 MHTepepepeHlIHOHHhIe JIBJIeHHJI C MOJIeRyJIlIpHhIMH nylRaMH (409) sect 137 BOJIHODOll naxer II sacrana (410) sect 138 CTaTHshyCTHleCROe HCTonROBaHHe nona lJe-BporJIJI (412) sect 139 CooTHOmeHHJI HeOnpeAeJIeHHOCTII (414) sect 140 Onpenenenae MeCTa H HMnyJIbCa MHRp0laC1H~hI (417) sect 141 OillH6olHhIe TOJIROBaHHJI coornourenaa HeOnpeAeJIeHHOCTH (423) sect 142 CooTHomeHHII HeOnpelJeJIeHHOCTII H npammn npHlIlHHOCTH (428)
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sect 143 YpaBHeHHe Illpennarepa ll epH3HleCRIIll CMhICJI ero peme-HHH (434) sect 144 Orpaacenae II npoxoamenae sepee I1oTeH~HaJlbHhIii 6apbep (441) sect 145 IIoTeH~HaJIbHhIH fiapsep ROHelHOH mHpuHhI (450)
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VI Oproroaansnocrs II HOpMHpoBaHlIe coricrseaaux qYHH~HH ocnanshynaropa 516
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e~3 (1 + a) = e23 (33)
IAe B - uexoropaa HOBaSl nOCTOHHuaSl ECJIH HaMeUSlTIgt naanenae p H AnSI Ramporo auaseaaa nanneshy
HHH BLIlJHCnHTIgt RamYIllYIOcSI nenaxany aapana e (6ea nonpaaxa eZ13TO COrJlaCHO fJopMyne (33) MeiKAY H 1 pa poniKUa HMeTIgt
MeCTO nnueMuaSl aaBHCHMOCTIgt Hpn aTOM TaR HaR lJneu Blpa B fJopMyne (33) arpaer ponlgt
ManoM nonpanrca TO B HalJeCTBe panayca xannn a MOiKHO B3HTIgt BenHlJnHY BLIlJHCJlHeMYIO no ueacnpaanenaoii fJopMyJIe CTOHca CM fJ0PMYJlY (23)] B caMOM AeJIe HOHCTaUTa B cor-nacuo HaMeshypeUHHM MHJlJIHHlHa panaa
~B = 0000617 l
2 a B mnOJlbctt T I ~ r ~ i ~i~
ilild~ll bull 11l ~------
8
18 3JIEHTPOH sr-o 3APHD n MACCA [r-a I
eCJIn p naMepeHO B CUHTnMeTpax pTyTHoro cToJI6a n a-B caHTn-MeTpax
Pnc 3 rne oca opnnaar
7
JoD
sect I
~
~e
~
V
aa OCM aficnacc OTJIOmeHIlI aHaIeHlIH 1fppoundl a aa e2
a bull 108 uoreaaraaaer ITO rpefiyeuan qgtopMyshyJIOM (33) JIMHeiiHaH aashyBnCIlMOCTb cyurecrnyer B geMcTBnTeJIbHOcTM IToshynaraa B qgtopMyJIe (33) 1fp =0 MJIM a = co T e nepexona R npenensuoshyMy CJIylfaIO xorna aaROH CTORca gOJlmeH 6IlITb cnpaaertnaa (paguyc sashyCTM~bI 6eCROHetIHO BeJIMR no cpasnenmo CO cpenshyHeii gJInHOM cBo6ogHorO
zoo f 300 liDO pOD nYTH) HaiigeM e2a = e~a pa arnr e =eo TaRHM o6pashy
Pac 3 aOM gJIH aaxoamenaa nCTMHHoro aHaIeHHH aashy
pana BJIeRTpOHa eo gocTaTOtIHO BRCTpanOJIIlpOBaTb npHMYIO go nepe-CeleHMH ee C OCbIO opnanar
Ha middotpMC 4 npaaenema tIeTbIpe cnocorioa PJIH tIaCTII~ paaJIMtIHOII B noanyxe I I - xansns-Rn MaCJIa B sozropone I I 1- RaneJIbRM pTyTM B sosztyxe IV -TIaCTn~1iI
lIIeJIJIaRa B soanyxe Bee IeTbIpe npmnre nepeceshyRaI9T OCb opnauar B 00- ~
HOH TOIRe aapHo BJIeR- ~70
TpOHa He aaBMCMT HM OT npaponsr tIaCTM~ HH OT IIPMPOgliI raaa oRpymashyiomero IaCTMI(bI
OnbITbI MHJIJIMRBHa HMeIOT 60JIblIIOe npIIH~Mshynaansuoe anaseaae TaR RaR OHM C nOJIHoii OIeshyBlIgHOCTbIO pORaaIiIBaIOT aTOMIICTMIeCHYIO npnposhy
npmnae nocrpoeaaue TaRIIM me
npapojrsr I - RaneJIbRM MaCJIa
500100ZOO I 300100
75f----+---+7shy
80--------
po Pac 4
~y BJIeRTpllleCROrO aapana IIo aenasaero BpeMeHM raxace H a6COJIIOTHOe aaaaenae aapHg8~J BJIeRTpOHa e = 4770 10-10 CGSE nOJJyIeHHOe 11M CIlITaJIOCb Ha1l60JIee t TOIHbIM COBepmeHHO Heshyomnp8HHO onaaxo BbIHCHMJIOCb ITO ltlTO ananeane copepmllT cncrashy
sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
-8
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C
-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
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R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
nOplI)IOR CJIe)lOBaHJllI Hepenxo 3TJI Jl3MeHeHII1I 6hIJIJI necsua cymeshy
CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
14013) aTOMHhIe neca ropaa JI ypaHa no )IaHHhIM roro BpeMeHJI
6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
MeCTa pOJDRHhI 6hITb 3aHHThI eme He OTRPhIThIMJI 3JIeMeUTaMJI
B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
pue OH Ha3BaJI 3Ha60pOM 3RaaJIIOMJlHJleM JI 3RaCJlJIHllJleM JI onacazr
JlX CBoHCTBa Bcxope nOCJIe aroro B 1875 r 6hIJI OTRphIT 3JIeMeHT
ua3BaHHhIfI raJIJIlI8M MeH)IeJIeeB TOTIaC me YRa3aJI na TO ITO raJIJIJlH
JI ecrr rrpencxaaaumrti JIM 3HaaJIIOMJlHJlH JI ITO OH pOJImeH JlMeTb aTOMshy
UhIH nee OROJIO 68 y)leJIbHhIH sec 60-59 JI aTOMHhIIf 061gteM 115 Ha caMOM )IeJIe -aToMHhIH aec raJIJIlIlI ORa3aJIClI paBHhIM 699 ynernshy
HhIH nee 596 II a TOMHhIH 061gt eM 117 OCHOBHOH epaRT 113 xoroporo IICXO)lJlJI p YI MeH)IeJIeeB npJl
nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
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pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
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B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
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T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
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18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
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11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
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3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
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sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
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rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
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BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
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Z2 - m = IiA2
x (141)
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Hue (290) sect 95 ahIBO) epOPMYJIhI IInaHl3 no 9iiHmTeiiHy (291)
n a a a aTOMa
VIII CnCSTpalILDLIC bull bull bull bull bull bull bull bull bull bull
CCpRU bull bull bull
B pOBDD bull bull bull bull bull
3DcprUB BOiJopOiJHoro bull bull bull bull bull bull bull bull bull bullbull 29
sect 96 Cepna Bamerepa (294) sect 97 CepHR JIaihraHa Ilamena II pp 0606~eHHaa epopMyJIa Bansuepa (297) sect 98 Cnexrpamarsre TepMhI ROM6IIHa~HoHHhIii npaauan (299) sect 99 RBaHToBaHHe xpyroaux
Op6HT (301) sect 100 Teopan Bopa (304) sect 101 IIplIMeHeHHe npetrsrshylJ~eH TeopHH OTRphITHe TflmeJIOrO H30Tona BOIJOpOlJa (308) sect 102 Cepan IIIIHepHHra IICneRTphI BOlJopoIOnOAo6HhIX lIOHOB (310) sect 103 0 CDeRrpocROnHIeCROM onpeneneaaa ylJeJIhHOrO aapsna anexrpoua (312)bull
sect f04 LJrtatpaMMht yponnea SHeprHH (314) sect 105 Ipaansmaa cnnornshyHOH cnexrp aronaoro BOIJOpOlJa (315) sect 106 HBaHToBaHHe BOIJOpOAOshynonoeaoro aTOMa no Bopy-30MMepltpeJIhlJy (317) sect 107 IIPHHlIHII COOTBeTCTBHfI (325) sect 108 HPH3HC reopaa Bopa (330)
a a B a IX CBeToBLle KBaBTLI bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bullbull 33
e middot109 lImyenRTYa~HRcBeToBoro noaa (332) sect 110 ltDoTosepepeRT l(ypaBHeHlIe 9IIHillTeHHa (337) sect 111 hCIIepHMeHTaJIbHafi nponepxa j1paBHeHHfI 9nHmreHHa (340) sect 112 HOpOTROBOJIHOBafi rpaaana
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sect 122 Bnenenac (370) sect 123 IIJIocRaH MOHoxpOMaTIIleCRaH BOJIHa B OIJHOpOIJHOH cpe)e (371) sect 124 BOJIHOBOe ypaanenae (373) sect 125 Cynepn03HIJHH IIJIOCRHX BOJIH (375) sect 126 BOJIHOBOrr I1aReT (377) sect 127 ltDi30BaH H rpyrmonaa CROpOCTH (381) sect 128 HopIlycRynHpHo-BOJIHOBOH I1apaJIJIeJIH3M Ilpenouneuae csera (384) sect 129 HopnycshyRyJIHpHO-BOJIHOBOH I1apaJIJIeJIH3M 9epepeRT AOIIIIJIepa (388) sect 130 HopshynyCRyJIHpHO-BOJIHOBOii I1apaJIJIElJIH3M AHepeppaRlIHOHHaH pemeTRa (389) sect 131 fHIIOTe3a lJe-BpOrJIH (391) sect B2 CBoncTBa BOJIH Ae-BporJIJI (393) sect 133 9RcIIepHMeHTaJIhHOe rronrnepzsnenae rlIIIOTe3hI )e-BporJIJI Meron Bparra (396) sect 134 IIpeJIoMJIeHHe aJIeRTpOHHhIX BOJIH II BHYshyTpeHHfIH nOTeH~IIaJI MeT3JIJI3 (401) sect 135 9RcnepHMeHTanhHoe I101Jshy
TBepmlJeHIIC rIJnOTe3hI Ae-BporJIJI MeTOlJhI JIaya II Ae6alI-illepshypepa (403) sect 136 MHTepepepeHlIHOHHhIe JIBJIeHHJI C MOJIeRyJIlIpHhIMH nylRaMH (409) sect 137 BOJIHODOll naxer II sacrana (410) sect 138 CTaTHshyCTHleCROe HCTonROBaHHe nona lJe-BporJIJI (412) sect 139 CooTHOmeHHJI HeOnpeAeJIeHHOCTII (414) sect 140 Onpenenenae MeCTa H HMnyJIbCa MHRp0laC1H~hI (417) sect 141 OillH6olHhIe TOJIROBaHHJI coornourenaa HeOnpeAeJIeHHOCTH (423) sect 142 CooTHomeHHII HeOnpelJeJIeHHOCTII H npammn npHlIlHHOCTH (428)
f JI a B a XL YpaBDeDue Illpennarepa bull 43
sect 143 YpaBHeHHe Illpennarepa ll epH3HleCRIIll CMhICJI ero peme-HHH (434) sect 144 Orpaacenae II npoxoamenae sepee I1oTeH~HaJlbHhIii 6apbep (441) sect 145 IIoTeH~HaJIbHhIH fiapsep ROHelHOH mHpuHhI (450)
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Ha middotpMC 4 npaaenema tIeTbIpe cnocorioa PJIH tIaCTII~ paaJIMtIHOII B noanyxe I I - xansns-Rn MaCJIa B sozropone I I 1- RaneJIbRM pTyTM B sosztyxe IV -TIaCTn~1iI
lIIeJIJIaRa B soanyxe Bee IeTbIpe npmnre nepeceshyRaI9T OCb opnauar B 00- ~
HOH TOIRe aapHo BJIeR- ~70
TpOHa He aaBMCMT HM OT npaponsr tIaCTM~ HH OT IIPMPOgliI raaa oRpymashyiomero IaCTMI(bI
OnbITbI MHJIJIMRBHa HMeIOT 60JIblIIOe npIIH~Mshynaansuoe anaseaae TaR RaR OHM C nOJIHoii OIeshyBlIgHOCTbIO pORaaIiIBaIOT aTOMIICTMIeCHYIO npnposhy
npmnae nocrpoeaaue TaRIIM me
npapojrsr I - RaneJIbRM MaCJIa
500100ZOO I 300100
75f----+---+7shy
80--------
po Pac 4
~y BJIeRTpllleCROrO aapana IIo aenasaero BpeMeHM raxace H a6COJIIOTHOe aaaaenae aapHg8~J BJIeRTpOHa e = 4770 10-10 CGSE nOJJyIeHHOe 11M CIlITaJIOCb Ha1l60JIee t TOIHbIM COBepmeHHO Heshyomnp8HHO onaaxo BbIHCHMJIOCb ITO ltlTO ananeane copepmllT cncrashy
sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
-8
$
C
-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
Ilepnaa Ta6JIIIlla 6hIJIa ony6JIlIROBaHa MeH)IeJIeeBhIM B 1869 r
R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
nOplI)IOR CJIe)lOBaHJllI Hepenxo 3TJI Jl3MeHeHII1I 6hIJIJI necsua cymeshy
CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
14013) aTOMHhIe neca ropaa JI ypaHa no )IaHHhIM roro BpeMeHJI
6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
MeCTa pOJDRHhI 6hITb 3aHHThI eme He OTRPhIThIMJI 3JIeMeUTaMJI
B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
pue OH Ha3BaJI 3Ha60pOM 3RaaJIIOMJlHJleM JI 3RaCJlJIHllJleM JI onacazr
JlX CBoHCTBa Bcxope nOCJIe aroro B 1875 r 6hIJI OTRphIT 3JIeMeHT
ua3BaHHhIfI raJIJIlI8M MeH)IeJIeeB TOTIaC me YRa3aJI na TO ITO raJIJIJlH
JI ecrr rrpencxaaaumrti JIM 3HaaJIIOMJlHJlH JI ITO OH pOJImeH JlMeTb aTOMshy
UhIH nee OROJIO 68 y)leJIbHhIH sec 60-59 JI aTOMHhIIf 061gteM 115 Ha caMOM )IeJIe -aToMHhIH aec raJIJIlIlI ORa3aJIClI paBHhIM 699 ynernshy
HhIH nee 596 II a TOMHhIH 061gt eM 117 OCHOBHOH epaRT 113 xoroporo IICXO)lJlJI p YI MeH)IeJIeeB npJl
nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
TO 3JIeMeHThI C aHaJIOrHIHhIMH CBOHCTBaMlI nepllO)IIIIeCHlI nOBTOshy
pHIOTClI MCXO)lR 113 aroro eMy ynanocs nOCTpOIlTb laquoeCTeCTBeHshy
UYIO CIICTeMY 3JIeMeHTOBraquo xoropaa ORa3aJIaCb npaBIIJIbHOH Heshy
CMOTpH aa TO ITO aTOMHhIH nee HaR BhIHCHIIJIOCb BnOCJIe)lCTBIIII_
A TOMbI H30TOITbI [roll II
He MomeT CqHTaTbCH HOHCTaHTOH 0)H03HatIHO onpenenmomea IIH)HBH)yaJIbHbIe CBOHCTBa aTOMa AeHCTBHTeJIbHO HHme MbI YBH)lIM
ITO cyrneCTBYIOT aemecraa xoropsre B XlIMlItIeCHOM OTHomeHlIlI nenyr
ce6H npaHTlItIeCHH o)lIHaHoBbIM 06pa30M aecaorpa na TO ITO lIX
ATOMHbIe neca pa3JIlItIHbI Taxae nemecrna Ha3bIBaIOTCH usomonauu TaH HaH BCJIe)CTBlIe lIX XlIMlItIeCHOH Tom)eCTBeHHOCTlI lIX He06xo)lIMO
IIIQMernaTb ua O)HO II TO me MeCTO B nepaonasecxon ClICTeMe (CJIOBO
laquoH30TOnbI) B 6yHBaJIbHOM nepenone C rpesecreoro oaaasaer laquo3aHlIMaIOshy
1U1Ie O)HO II TO me MeCTO)) XlIMlItIeCHlIe 8JIeMeHTbI aa caMOM neshy
JIe HBJIHIOTCH CMeCHMlI 1I30TonOB a HX aTOMHbIe seca onpezrenaeshy
MbIe 06bItIHbIMlI XlIMlItIeCHlIMlI MeTo)aMlI-cpe)HlIMlI 1I3 aTOMHbIX
BeCOB ncex otipaayionrax lIX 1I30TorrOB Hapany C aTOMaMlI 06JIashy
)aIOrnlIMlI onem 6JI1I3HlIMlI CBOHCTBaMlI npn pa3JIlItIHbIX aTOMHbIX
necax cymecmyror raroxe aTOMbI 06JIa)aIOrnlIe pa3JIHtIHbIMlI CBOHshy
ClBaMlI npa O)lIHaHOBbIX aTOMHbIX necax (1I306apbI CM T II rn XVIII)-
TaH HaH O)HaHO rrepaona-recxaa ClICTeMa 8JIeMeHTOB OHa3aJIaCb
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lyrnecTBeHHbIH np1I3HaH amoua OCHOBHOH xapaHTeplICTHHOH 8JIeshy
MeHTa HBJIHeTCH ero nOJIOmeHlIe B neplIO)lItIeCHOH ClICTeMe a 810
nOJIOmeHlIe onpenerraerca HOMepOM MeCTa 3aHlIMaeMoro )aHHbIM
meMeHTOM B Ta6JIlI~e Meaneneena rJIy60HaH npanaaa BamHOCTlI
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onpenenaesnaa XlIMHqeCRlIMlI MeTo)aMlI II HBJIHIOrnlIMCH cpe)HHM 1I3
aTOMHbIX BeCOB ncex 1I30TorrOB naanoro 8JIeMeHTa TO Mem)y 8THM
cpe)HIIM aTOMHbIM BeCOM II aTOMHbIM HOMepOM cymecrnyer npocraa
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nonpexa HX aTOMHbIM necax
Ha pHC 22 II 23 rrpa aenema aexoroprae npauepu nepaonasecnoro
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aa O)HOH )lIarpaMMe XO) HeCHOJIbHlIX ~1I3HtIeCHHX CBOHCTB B 3ashy
BIIClIMOCTlI 01 aroaaoro aoxepa a HMeHHO-BepXHHH HpHBaH paeT
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middot~JiIOinl Bll~HO ITO nee ara CBOHCTBa He rozirxo HcnLITLIBaIOT nepaoshy
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pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
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B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
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mre HaROHe~ geBHTMH aJIeMeHT-ltpTop-ORaaMBaeTCH aarunonou
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BLIpamemrnMH RHCJIOTHMMH CBolIcTBaMH IJaJIee cnenyer 6JIaropogshy
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nHT xepea laquoaMltpoTepHMHraquo aJIeMeHT-RpeMHnlI (M 14) ROTOpMit 06shy
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5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
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18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
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I I I II I III I IV I V VI
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3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
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3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
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sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
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CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
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rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
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113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
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a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
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1 Bsrsacaeaae CpelJBHX BHaleHIIH bull bull bull bull bull bull bull 500 11 BLlBOA qopMYnLl BaBIICIIMOCTH MaCCLl OT CKOpOCTH bull 504
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VI Oproroaansnocrs II HOpMHpoBaHlIe coricrseaaux qYHH~HH ocnanshynaropa 516
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ECJnI npn aTOM BeJIUlJUny nanpaaceaaocra nOJIJl OCTaBllTb npeamcii TO CROpOCTb RanJIH H3MeHHTCJl H craner pannoii VB MhI UMeeM
_ 1 i - 1rv~2y12 e1 - 9 V 2 ~ 11 11 (Va +VB)
(a-p) 2g 2
oM6uuupyJl aTO nsrpazseune C (25) Han~eM
- 1rv~2YJg2 Se = e - e 1= 9V2middot ~ 1 11 (VB - VB) (26)
(a-p) 2g 2
113MeHJlJl lIeCROJIbRO pa3 3apJl~ MOllmO C onnoa H Ton me HanJIeH npOU3BeCTH 60JlbIIIOe lJUCJIO 1I3MepeUlill
sect 3 Ilpaarauecsoe ocymecrnaenae onura MHJIJIHKaHa
T~aTeJIbUO OTIIIIHepoBauHhIe nJIaCTlIUHH xonzreacaropa PI H P2 (puc 1) ynepxraaarorca na onpe~eJIeUHOMpaCCTOJlHIIII TOlJHO napanshyJJeJIbUO npyr ~pyry npa nOMOIIIH H30JIHpYlOIIIell npORJIa~RH JJ
Bopxaaa IIJIaCTHURa PI HMeeT B cepenaae ornepcrae 0 lJepe3 ROshyTopoe BUYTPb xoaneucaropa noshyt nanaror HcnhITyeMhIe RaneJIbRH MaCJIa paCnhIJIJleMOrO upn nOMOIIIH nYJIbBepH3aTopa B ~HJIHU~P C M3BeCTUO lJTO npn paCnhIJIeUHH mH~ROCTell 06pa3ylOIIIlIeCJl RanJIU ueCYT 3JIeRTpHlJeCRHn 3apJl~ TaR lJTO BHYTPb Rou~eucaTopa nona~ashy
PRe 1 Cxeva IWH~eHCaTOpa MUJIshy lOT yme 3apJllleUUhIe RanJIH qepea nmcana OROIIIRO F 1 xansnsxa OCBeIIIaeTCll
06hIlJUO CBeTOM nyr-n na6JIIO~eUHe me Be~eTCJl npn nOMOIIIn MHHpOCRona lJCpe3 OROIIIRO F g bull TaR RaR Ha6JIIO~eHHe npoacxonar B UanpaBJIeHIUI llepneU~IIRYJIJlPEIOM R OCshyBeIIIalOIIIcMy nylJHy CBeTa TO Bbl6paHUaJl xanenrxa B none 3peHHJl MHHpOCHona nanaa HaR aprcaa 3Be3~OlJRa ua TeMHOM epOHe (RaR n yJIbTpaMHRpOCIwnc) ORHO F 2 CJIymHT ~JIJl auxona nyxrea CBCTa TaH HaH nororomaacs CTeHHaMH HaMephI CBeT BhI3BaJI 6hI BHyTpH nee nepanuouepaoe aarpesaaao H nOTORH noanyxa MeIIIalO~He Ha6JIIOshy~ClIHJlM qepc3 TO llW OROIIIRO F 2 BUYTPb HOH~CHcaTopa MoryT 6bITb nponYIIICHbI pCHTrCHOBCIUlC JIylJH C03~aIOIIIHC HOHH3a~HIO nosnyxa B PC3YJIbTaTe HOTOpOll 3apJl~ RanCJIbHH MomCT 6blTb H3MCHeu TIOJIHaJl CXCMa YCTaHOBIH MHJIJIHH3Ua npaneneaa na pHC 2
M3MCpCHHC cxopocrn nanenarr HJIn nO~beMa RanCJIbRII npoaaaoshy~HJIOCb nyTeM onpC~CJIClIHJl npOIgtWllyTKa BpCMCHH uC06xo~lIMoro
~J]Jl npoxozanenaa Mem~y ~BYMll UHTJlMH pacnoJIOllWUUbIMII B eposhyHaJlbUOn WIOCROCTH MI1HpOCROna aa MCpy CHOpOCTII 6paJIa~agt
J
I 3] llPAHTHqECHOE OCYIIlECTBJIEHHE OllhlTA MHJIJIHHaHA if)
otiparuaa BeJIHtIHUa 8TOrO npoxezsyraa spexeua B Ta6JlIUIe I npashyBe~eBO HeCROJIhRO peayzn-raroa n3MepeHuH MnJIJIUR=lHa Coshy
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bull bull rh hHOCOCIj
n( s~--~
[~_d~ it11 he 2 Cxexa YCTaHOBRU MUJIJIURllHa a-IICTOtIHIIR CBeTa w d-centIIJIhTpbtmiddot lmJl nororomenaa TeUJIOBhlX JIytIeu PIP2 - ROHJJeHcaTop AD - IlYJIhBe-shypaaarop JJJIH IlOJIytIeHIIH R8IleJIeR M8CJIa G-MaCJIHHaH BaHH8 (TepMocT8T)~
B-6aTapeH m-MaHoMeTp R-peHTreHoBcRaH Tpy6R8
Ta6JIIInaI
PaaHOCTLBpelllll qUCJIO00 aTHLIX06parHoe BpeMeH CARRnOllLeMft BpeMfJ
nOIl1gteManoLeMa n epe-B lIueRshy nOCJIeB onenshynepeaashy aapan-TpDI TpUI noae PllARH
RHnone -1 ---1r1
1B (B cex)
80708 001236
22375 00470
14056 000719
0012579600
34785 002870
n1E IE
(j00323
7003751
0005348 1
3001616
I
OrHOCUTeJIL-Han BeJIUIHshyaa elUHunLl
nepeaashy
1 (rUl)ill I~-IE
0005390
0005358
000538
0005387
CyMMa qUCJIO06paTHLIx
BpelgtleH ena-naleHUIl HUn
II nOllLeMa 1 1 aapana
1--)+1 nU E plusmn nr
009055 18 +6
012887 24 -7
17 +1
009138
009673 18 +3
011289 21
OTHOCUTenshyHall BenaIDshyaa ellHHHnwshy
1 (aflll~) n ig+iB
0005366
0005371
0005375
0005374
0005376
) Cpenuee t y = 11880 rne tg-BpeMH nanenaa B IlOJIe CHJIbi TFl1lteCTll
16 3JJERTPOH zr-o 3APR)J H MACCA [ra I
IJIaCHO (26) 113MeHeHHe BeJIllqllUhl aapana rrpll nepeaapanne )]OmKlIO
6hlTb nponopnaonansno paaHOCTll crcopocrefi VE - vE ECJIll ara paaaocrr OKameTCH ~eJIhlM RpaTHhlM O)]HOH II TOH me nenasansr TO
MomHO yTBepm)]aTb ITO llaMeHeHlIe aapana npOllCXO)]l1T He uenpeshyPhlBHO a ROHeqHhlM11 rrop~llHMII lJeTBepThlH 11 rrHThlH CTOJI6~hl
Ta6JIll~hl rroaaasraaror ITO 8TO llMeeT MeCTO aa caMOM neae C TOIshy
HOCTblO)]O HeCIWJIbRllX eAl1H11~ B rrHTOM aaaxe aapH)] llaMeHHeTCH
ua 6 7 1 e)]l1Hll~ rrpllqeM caua enaamra nepeaapanna (UHThlH CTOJI6e~ Ta6JIll~hl) llMeeT nOCTaTOqHO nocroarr aoe aaaxeaae
ltDopMyJIa (25) rroxaausaer ITO a6COJIIOTHaH Be1JllqllHa aapana RarrJIII )]OmIltHa 6hlTb rrporropnaoaansna CYMMe Vg + VE (IlleCTOH
cToJI6e~ Ta6JIll~hl)
ECJIll 8Tll CYMMhl oxaxryrca HPaTHhlMll O)]HOn II TOM me BeJIHshy
qIlHe TO 8TO oanauaer ITO aapan crcnansmaerca 11a nacnpernsrx enaann Ce)]bMOn 11 BOCbMon CTOJI6~hl noaaasmaior ITO 11 8TO
llMeeT MeCTO B )]enCTBHTeJIbHOCTll HaROHe~ llacpaBHeHllH rrHToro
II socsuoro CTOJJ6IWB Bll)]HO ITO enaaana nepeaapanrca H e)]IIHH~a aapana Mem)]y co6oii COBrra)]aIOT onars-raxa C TOqHOCTblO )]0 Heshy
CIWJIbH11X e)]HHH~ B I1I1TOM aaaae TaRHM 06paaOM ananaa Ta6JlHQhl
)~aeT rrOJIIIOe 11 nenocpencraenaoe )]ORaaaTeJIbCTBO nncxperuoii rrpHpO)]hl 8JIeRTpHqeCKOrO aapsna - aTOMllCTllRH 8JIeRTpHqeCRHX
RBJIeHHM
)JJIH ToqHOrO OIlpe)]8JIeHllH a6COJIIOTHOM BeJIllqllHhl aapana 8JJeRTpOHa B qHCJla nonynennrae npll I10MO~H ltlOpMyJIhl (2[)) H806xo)]HMO BHeCTll cy~ecTBeHHYIO nonpaBRY B caMOM fteJIe
ORaaaJIOCb ITO ecna onpe)]eJIHTb aapan KaneJIeR paaJIllltJHoro
panayca TO npa yxeusnrenaa I10CJIe)]HerO snasane rrOJIyqalOTCH
llOCTOHHHhle aaassaaa e HO )]JIH OltJeHb MaJIeHbRHX RalleJIeK e 6hlCTpO noapacraer C YMeHbIlIeHlleM panayca TaRllM 06paaOM
BhlXO)]HT ITO aapH)] 8JIeRTpOHa He HMeeT llOCTOHHHoro aaaseaaa a MomeT aanacerr OT paaxepos xarrensxa
MHJIJIlm8H 06bHCHHJI 8TOT HBHO aecoofip aansni peayJIbTaT TeM
ITO aaROH CTORca HeJIb3H npHMeHHTb R )]BllmeHlllO OltJeUb MaJIeHbshy
RHX RarreJIeR )JenCTBHTeJIbHO aaHOH CTORca BhlBO)]HTCH B rrpe)]
llOJIOmeHHH ITO )]BHmy~eecH TeJIO HMeeT ltlopMy nrapa H ITO
cpena B KOTOpOH rrpOHCXO)]HT )]BHmeHHe - aerrpepsmaa Ilocnonshyuoe upemroaoaeenae aaaenoxro He onpasmasaerca xorna npa
l~BHmeHHH B raae paaxepsr RaneJIbRH CTaHOBHTcH cpaBHHMhlMH
CO Cpe)]HeH )]JIlIHOH CBo6o)]HOrO nYTH raaonsrx MOJIeRyJI TaRHM o6pashy
u 6aOM OTHOIlleHHe Ii cpenaea )]JIHHhI CBO O)]HOrO I1yTH R panaycy
xanna MomeT CJIymHTb xparepnen npllMeBHMOCTII HJIH HenplIMe-
BllMOCTll aaxoua CTORca eCJIll 8TO oruornenae MaJIO ( ~ 1) TO aaROH CTORca upaxenarr MOiKBO B npOTllBOnOJIOmHOM CJIyqaeshy
aaROH CTORca HerrpllMeHHM
I a] nPAHTMQECHOE OCymECTBJIEHI1E OnbITA MI1JIJIHH8HA 17
IJJISI roro lJTo6hI YlJecTJ orcrynzreaaa OT 3aHOHa Croxca PJISI
OlJeHIgt MaJIeHIgtRHX xanenex 6LIJIO upennoateao nOJIIgt30BaTIgtCSI BMeCTO (21) CJIepyIOIllHM HCnpaBJIeUHLIM BLIpaiKeHHeM PJISI CTOHCOshy
BOH CHJILI 6ljaV gF _ (31)-
1+ A-a
me A - aexoropaa nOCTOSlHHaSl RaR BHPUO aTO BLIpaiKeHHe
nocrpoeao TaH lJTO npH A- -+0 OHO nepexonar B fJOpMyJIya Croxca (21) IIpH nosroma aroii HCnpaBJIeHUOM fJ0PMYJILI MLI nOJIyshylJaeM AJISI a6COJIIOTHOH BeJIHlJHlihI aapana BMeCTO (25) cnerryiontee BLIpaiKeHHe
9 V2middott Ij 312VI2
(VE+Vg )- ge- (a - p)I2l l2 ~(1+A~Y2 (32)
llTo6LI HaHTH a6COJIIOTHyIO BeJIHlJHHY aapana no aTOM fJopMyJIe aano 3UaTIgt nocToHHHyIO A Onaarco MHJIJIHHaU noxaaan RaHHM ofipaacxr MO~HUO uaMTH HCTHHHyIO BeJIHlJHllY aapana He npafieran R onpeAeJIeHHIO )TOM nocronaaofi
113 conOCTaBJIeUUSl fJOpMyJl (25) H (31) JIerRO HaHTH oraomeshyHHe BeJIHlJHHLI eo R aapSlAY BLIlJHCJIeHUOMY 6ea nonpanna
1
eeo_
- (1+ A ~Y2 HnH
e~3 ( 1+ A ~ ) = e23bull
Ho nnaaa caotiozraor-o npo6era A o6paTHO nponopnaonansaa naBneIIlIIO raaa p n03ToMY
e~3 (1 + a) = e23 (33)
IAe B - uexoropaa HOBaSl nOCTOHHuaSl ECJIH HaMeUSlTIgt naanenae p H AnSI Ramporo auaseaaa nanneshy
HHH BLIlJHCnHTIgt RamYIllYIOcSI nenaxany aapana e (6ea nonpaaxa eZ13TO COrJlaCHO fJopMyne (33) MeiKAY H 1 pa poniKUa HMeTIgt
MeCTO nnueMuaSl aaBHCHMOCTIgt Hpn aTOM TaR HaR lJneu Blpa B fJopMyne (33) arpaer ponlgt
ManoM nonpanrca TO B HalJeCTBe panayca xannn a MOiKHO B3HTIgt BenHlJnHY BLIlJHCJlHeMYIO no ueacnpaanenaoii fJopMyJIe CTOHca CM fJ0PMYJlY (23)] B caMOM AeJIe HOHCTaUTa B cor-nacuo HaMeshypeUHHM MHJlJIHHlHa panaa
~B = 0000617 l
2 a B mnOJlbctt T I ~ r ~ i ~i~
ilild~ll bull 11l ~------
8
18 3JIEHTPOH sr-o 3APHD n MACCA [r-a I
eCJIn p naMepeHO B CUHTnMeTpax pTyTHoro cToJI6a n a-B caHTn-MeTpax
Pnc 3 rne oca opnnaar
7
JoD
sect I
~
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~
V
aa OCM aficnacc OTJIOmeHIlI aHaIeHlIH 1fppoundl a aa e2
a bull 108 uoreaaraaaer ITO rpefiyeuan qgtopMyshyJIOM (33) JIMHeiiHaH aashyBnCIlMOCTb cyurecrnyer B geMcTBnTeJIbHOcTM IToshynaraa B qgtopMyJIe (33) 1fp =0 MJIM a = co T e nepexona R npenensuoshyMy CJIylfaIO xorna aaROH CTORca gOJlmeH 6IlITb cnpaaertnaa (paguyc sashyCTM~bI 6eCROHetIHO BeJIMR no cpasnenmo CO cpenshyHeii gJInHOM cBo6ogHorO
zoo f 300 liDO pOD nYTH) HaiigeM e2a = e~a pa arnr e =eo TaRHM o6pashy
Pac 3 aOM gJIH aaxoamenaa nCTMHHoro aHaIeHHH aashy
pana BJIeRTpOHa eo gocTaTOtIHO BRCTpanOJIIlpOBaTb npHMYIO go nepe-CeleHMH ee C OCbIO opnanar
Ha middotpMC 4 npaaenema tIeTbIpe cnocorioa PJIH tIaCTII~ paaJIMtIHOII B noanyxe I I - xansns-Rn MaCJIa B sozropone I I 1- RaneJIbRM pTyTM B sosztyxe IV -TIaCTn~1iI
lIIeJIJIaRa B soanyxe Bee IeTbIpe npmnre nepeceshyRaI9T OCb opnauar B 00- ~
HOH TOIRe aapHo BJIeR- ~70
TpOHa He aaBMCMT HM OT npaponsr tIaCTM~ HH OT IIPMPOgliI raaa oRpymashyiomero IaCTMI(bI
OnbITbI MHJIJIMRBHa HMeIOT 60JIblIIOe npIIH~Mshynaansuoe anaseaae TaR RaR OHM C nOJIHoii OIeshyBlIgHOCTbIO pORaaIiIBaIOT aTOMIICTMIeCHYIO npnposhy
npmnae nocrpoeaaue TaRIIM me
npapojrsr I - RaneJIbRM MaCJIa
500100ZOO I 300100
75f----+---+7shy
80--------
po Pac 4
~y BJIeRTpllleCROrO aapana IIo aenasaero BpeMeHM raxace H a6COJIIOTHOe aaaaenae aapHg8~J BJIeRTpOHa e = 4770 10-10 CGSE nOJJyIeHHOe 11M CIlITaJIOCb Ha1l60JIee t TOIHbIM COBepmeHHO Heshyomnp8HHO onaaxo BbIHCHMJIOCb ITO ltlTO ananeane copepmllT cncrashy
sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
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C
-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
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a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
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HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
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39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
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5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
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6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
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I a] nPAHTMQECHOE OCymECTBJIEHI1E OnbITA MI1JIJIHH8HA 17
IJJISI roro lJTo6hI YlJecTJ orcrynzreaaa OT 3aHOHa Croxca PJISI
OlJeHIgt MaJIeHIgtRHX xanenex 6LIJIO upennoateao nOJIIgt30BaTIgtCSI BMeCTO (21) CJIepyIOIllHM HCnpaBJIeUHLIM BLIpaiKeHHeM PJISI CTOHCOshy
BOH CHJILI 6ljaV gF _ (31)-
1+ A-a
me A - aexoropaa nOCTOSlHHaSl RaR BHPUO aTO BLIpaiKeHHe
nocrpoeao TaH lJTO npH A- -+0 OHO nepexonar B fJOpMyJIya Croxca (21) IIpH nosroma aroii HCnpaBJIeHUOM fJ0PMYJILI MLI nOJIyshylJaeM AJISI a6COJIIOTHOH BeJIHlJHlihI aapana BMeCTO (25) cnerryiontee BLIpaiKeHHe
9 V2middott Ij 312VI2
(VE+Vg )- ge- (a - p)I2l l2 ~(1+A~Y2 (32)
llTo6LI HaHTH a6COJIIOTHyIO BeJIHlJHHY aapana no aTOM fJopMyJIe aano 3UaTIgt nocToHHHyIO A Onaarco MHJIJIHHaU noxaaan RaHHM ofipaacxr MO~HUO uaMTH HCTHHHyIO BeJIHlJHllY aapana He npafieran R onpeAeJIeHHIO )TOM nocronaaofi
113 conOCTaBJIeUUSl fJOpMyJl (25) H (31) JIerRO HaHTH oraomeshyHHe BeJIHlJHHLI eo R aapSlAY BLIlJHCJIeHUOMY 6ea nonpanna
1
eeo_
- (1+ A ~Y2 HnH
e~3 ( 1+ A ~ ) = e23bull
Ho nnaaa caotiozraor-o npo6era A o6paTHO nponopnaonansaa naBneIIlIIO raaa p n03ToMY
e~3 (1 + a) = e23 (33)
IAe B - uexoropaa HOBaSl nOCTOHHuaSl ECJIH HaMeUSlTIgt naanenae p H AnSI Ramporo auaseaaa nanneshy
HHH BLIlJHCnHTIgt RamYIllYIOcSI nenaxany aapana e (6ea nonpaaxa eZ13TO COrJlaCHO fJopMyne (33) MeiKAY H 1 pa poniKUa HMeTIgt
MeCTO nnueMuaSl aaBHCHMOCTIgt Hpn aTOM TaR HaR lJneu Blpa B fJopMyne (33) arpaer ponlgt
ManoM nonpanrca TO B HalJeCTBe panayca xannn a MOiKHO B3HTIgt BenHlJnHY BLIlJHCJlHeMYIO no ueacnpaanenaoii fJopMyJIe CTOHca CM fJ0PMYJlY (23)] B caMOM AeJIe HOHCTaUTa B cor-nacuo HaMeshypeUHHM MHJlJIHHlHa panaa
~B = 0000617 l
2 a B mnOJlbctt T I ~ r ~ i ~i~
ilild~ll bull 11l ~------
8
18 3JIEHTPOH sr-o 3APHD n MACCA [r-a I
eCJIn p naMepeHO B CUHTnMeTpax pTyTHoro cToJI6a n a-B caHTn-MeTpax
Pnc 3 rne oca opnnaar
7
JoD
sect I
~
~e
~
V
aa OCM aficnacc OTJIOmeHIlI aHaIeHlIH 1fppoundl a aa e2
a bull 108 uoreaaraaaer ITO rpefiyeuan qgtopMyshyJIOM (33) JIMHeiiHaH aashyBnCIlMOCTb cyurecrnyer B geMcTBnTeJIbHOcTM IToshynaraa B qgtopMyJIe (33) 1fp =0 MJIM a = co T e nepexona R npenensuoshyMy CJIylfaIO xorna aaROH CTORca gOJlmeH 6IlITb cnpaaertnaa (paguyc sashyCTM~bI 6eCROHetIHO BeJIMR no cpasnenmo CO cpenshyHeii gJInHOM cBo6ogHorO
zoo f 300 liDO pOD nYTH) HaiigeM e2a = e~a pa arnr e =eo TaRHM o6pashy
Pac 3 aOM gJIH aaxoamenaa nCTMHHoro aHaIeHHH aashy
pana BJIeRTpOHa eo gocTaTOtIHO BRCTpanOJIIlpOBaTb npHMYIO go nepe-CeleHMH ee C OCbIO opnanar
Ha middotpMC 4 npaaenema tIeTbIpe cnocorioa PJIH tIaCTII~ paaJIMtIHOII B noanyxe I I - xansns-Rn MaCJIa B sozropone I I 1- RaneJIbRM pTyTM B sosztyxe IV -TIaCTn~1iI
lIIeJIJIaRa B soanyxe Bee IeTbIpe npmnre nepeceshyRaI9T OCb opnauar B 00- ~
HOH TOIRe aapHo BJIeR- ~70
TpOHa He aaBMCMT HM OT npaponsr tIaCTM~ HH OT IIPMPOgliI raaa oRpymashyiomero IaCTMI(bI
OnbITbI MHJIJIMRBHa HMeIOT 60JIblIIOe npIIH~Mshynaansuoe anaseaae TaR RaR OHM C nOJIHoii OIeshyBlIgHOCTbIO pORaaIiIBaIOT aTOMIICTMIeCHYIO npnposhy
npmnae nocrpoeaaue TaRIIM me
npapojrsr I - RaneJIbRM MaCJIa
500100ZOO I 300100
75f----+---+7shy
80--------
po Pac 4
~y BJIeRTpllleCROrO aapana IIo aenasaero BpeMeHM raxace H a6COJIIOTHOe aaaaenae aapHg8~J BJIeRTpOHa e = 4770 10-10 CGSE nOJJyIeHHOe 11M CIlITaJIOCb Ha1l60JIee t TOIHbIM COBepmeHHO Heshyomnp8HHO onaaxo BbIHCHMJIOCb ITO ltlTO ananeane copepmllT cncrashy
sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
-8
$
C
-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
Ilepnaa Ta6JIIIlla 6hIJIa ony6JIlIROBaHa MeH)IeJIeeBhIM B 1869 r
R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
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39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
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rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
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sect 3 Ilpaarauecsoe ocymecrnaenae onura MHJIJIHKaHa
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Bopxaaa IIJIaCTHURa PI HMeeT B cepenaae ornepcrae 0 lJepe3 ROshyTopoe BUYTPb xoaneucaropa noshyt nanaror HcnhITyeMhIe RaneJIbRH MaCJIa paCnhIJIJleMOrO upn nOMOIIIH nYJIbBepH3aTopa B ~HJIHU~P C M3BeCTUO lJTO npn paCnhIJIeUHH mH~ROCTell 06pa3ylOIIIlIeCJl RanJIU ueCYT 3JIeRTpHlJeCRHn 3apJl~ TaR lJTO BHYTPb Rou~eucaTopa nona~ashy
PRe 1 Cxeva IWH~eHCaTOpa MUJIshy lOT yme 3apJllleUUhIe RanJIH qepea nmcana OROIIIRO F 1 xansnsxa OCBeIIIaeTCll
06hIlJUO CBeTOM nyr-n na6JIIO~eUHe me Be~eTCJl npn nOMOIIIn MHHpOCRona lJCpe3 OROIIIRO F g bull TaR RaR Ha6JIIO~eHHe npoacxonar B UanpaBJIeHIUI llepneU~IIRYJIJlPEIOM R OCshyBeIIIalOIIIcMy nylJHy CBeTa TO Bbl6paHUaJl xanenrxa B none 3peHHJl MHHpOCHona nanaa HaR aprcaa 3Be3~OlJRa ua TeMHOM epOHe (RaR n yJIbTpaMHRpOCIwnc) ORHO F 2 CJIymHT ~JIJl auxona nyxrea CBCTa TaH HaH nororomaacs CTeHHaMH HaMephI CBeT BhI3BaJI 6hI BHyTpH nee nepanuouepaoe aarpesaaao H nOTORH noanyxa MeIIIalO~He Ha6JIIOshy~ClIHJlM qepc3 TO llW OROIIIRO F 2 BUYTPb HOH~CHcaTopa MoryT 6bITb nponYIIICHbI pCHTrCHOBCIUlC JIylJH C03~aIOIIIHC HOHH3a~HIO nosnyxa B PC3YJIbTaTe HOTOpOll 3apJl~ RanCJIbHH MomCT 6blTb H3MCHeu TIOJIHaJl CXCMa YCTaHOBIH MHJIJIHH3Ua npaneneaa na pHC 2
M3MCpCHHC cxopocrn nanenarr HJIn nO~beMa RanCJIbRII npoaaaoshy~HJIOCb nyTeM onpC~CJIClIHJl npOIgtWllyTKa BpCMCHH uC06xo~lIMoro
~J]Jl npoxozanenaa Mem~y ~BYMll UHTJlMH pacnoJIOllWUUbIMII B eposhyHaJlbUOn WIOCROCTH MI1HpOCROna aa MCpy CHOpOCTII 6paJIa~agt
J
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otiparuaa BeJIHtIHUa 8TOrO npoxezsyraa spexeua B Ta6JlIUIe I npashyBe~eBO HeCROJIhRO peayzn-raroa n3MepeHuH MnJIJIUR=lHa Coshy
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bull bull rh hHOCOCIj
n( s~--~
[~_d~ it11 he 2 Cxexa YCTaHOBRU MUJIJIURllHa a-IICTOtIHIIR CBeTa w d-centIIJIhTpbtmiddot lmJl nororomenaa TeUJIOBhlX JIytIeu PIP2 - ROHJJeHcaTop AD - IlYJIhBe-shypaaarop JJJIH IlOJIytIeHIIH R8IleJIeR M8CJIa G-MaCJIHHaH BaHH8 (TepMocT8T)~
B-6aTapeH m-MaHoMeTp R-peHTreHoBcRaH Tpy6R8
Ta6JIIInaI
PaaHOCTLBpelllll qUCJIO00 aTHLIX06parHoe BpeMeH CARRnOllLeMft BpeMfJ
nOIl1gteManoLeMa n epe-B lIueRshy nOCJIeB onenshynepeaashy aapan-TpDI TpUI noae PllARH
RHnone -1 ---1r1
1B (B cex)
80708 001236
22375 00470
14056 000719
0012579600
34785 002870
n1E IE
(j00323
7003751
0005348 1
3001616
I
OrHOCUTeJIL-Han BeJIUIHshyaa elUHunLl
nepeaashy
1 (rUl)ill I~-IE
0005390
0005358
000538
0005387
CyMMa qUCJIO06paTHLIx
BpelgtleH ena-naleHUIl HUn
II nOllLeMa 1 1 aapana
1--)+1 nU E plusmn nr
009055 18 +6
012887 24 -7
17 +1
009138
009673 18 +3
011289 21
OTHOCUTenshyHall BenaIDshyaa ellHHHnwshy
1 (aflll~) n ig+iB
0005366
0005371
0005375
0005374
0005376
) Cpenuee t y = 11880 rne tg-BpeMH nanenaa B IlOJIe CHJIbi TFl1lteCTll
16 3JJERTPOH zr-o 3APR)J H MACCA [ra I
IJIaCHO (26) 113MeHeHHe BeJIllqllUhl aapana rrpll nepeaapanne )]OmKlIO
6hlTb nponopnaonansno paaHOCTll crcopocrefi VE - vE ECJIll ara paaaocrr OKameTCH ~eJIhlM RpaTHhlM O)]HOH II TOH me nenasansr TO
MomHO yTBepm)]aTb ITO llaMeHeHlIe aapana npOllCXO)]l1T He uenpeshyPhlBHO a ROHeqHhlM11 rrop~llHMII lJeTBepThlH 11 rrHThlH CTOJI6~hl
Ta6JIll~hl rroaaasraaror ITO 8TO llMeeT MeCTO aa caMOM neae C TOIshy
HOCTblO)]O HeCIWJIbRllX eAl1H11~ B rrHTOM aaaxe aapH)] llaMeHHeTCH
ua 6 7 1 e)]l1Hll~ rrpllqeM caua enaamra nepeaapanna (UHThlH CTOJI6e~ Ta6JIll~hl) llMeeT nOCTaTOqHO nocroarr aoe aaaxeaae
ltDopMyJIa (25) rroxaausaer ITO a6COJIIOTHaH Be1JllqllHa aapana RarrJIII )]OmIltHa 6hlTb rrporropnaoaansna CYMMe Vg + VE (IlleCTOH
cToJI6e~ Ta6JIll~hl)
ECJIll 8Tll CYMMhl oxaxryrca HPaTHhlMll O)]HOn II TOM me BeJIHshy
qIlHe TO 8TO oanauaer ITO aapan crcnansmaerca 11a nacnpernsrx enaann Ce)]bMOn 11 BOCbMon CTOJI6~hl noaaasmaior ITO 11 8TO
llMeeT MeCTO B )]enCTBHTeJIbHOCTll HaROHe~ llacpaBHeHllH rrHToro
II socsuoro CTOJJ6IWB Bll)]HO ITO enaaana nepeaapanrca H e)]IIHH~a aapana Mem)]y co6oii COBrra)]aIOT onars-raxa C TOqHOCTblO )]0 Heshy
CIWJIbH11X e)]HHH~ B I1I1TOM aaaae TaRHM 06paaOM ananaa Ta6JlHQhl
)~aeT rrOJIIIOe 11 nenocpencraenaoe )]ORaaaTeJIbCTBO nncxperuoii rrpHpO)]hl 8JIeRTpHqeCKOrO aapsna - aTOMllCTllRH 8JIeRTpHqeCRHX
RBJIeHHM
)JJIH ToqHOrO OIlpe)]8JIeHllH a6COJIIOTHOM BeJIllqllHhl aapana 8JJeRTpOHa B qHCJla nonynennrae npll I10MO~H ltlOpMyJIhl (2[)) H806xo)]HMO BHeCTll cy~ecTBeHHYIO nonpaBRY B caMOM fteJIe
ORaaaJIOCb ITO ecna onpe)]eJIHTb aapan KaneJIeR paaJIllltJHoro
panayca TO npa yxeusnrenaa I10CJIe)]HerO snasane rrOJIyqalOTCH
llOCTOHHHhle aaassaaa e HO )]JIH OltJeHb MaJIeHbRHX RalleJIeK e 6hlCTpO noapacraer C YMeHbIlIeHlleM panayca TaRllM 06paaOM
BhlXO)]HT ITO aapH)] 8JIeRTpOHa He HMeeT llOCTOHHHoro aaaseaaa a MomeT aanacerr OT paaxepos xarrensxa
MHJIJIlm8H 06bHCHHJI 8TOT HBHO aecoofip aansni peayJIbTaT TeM
ITO aaROH CTORca HeJIb3H npHMeHHTb R )]BllmeHlllO OltJeUb MaJIeHbshy
RHX RarreJIeR )JenCTBHTeJIbHO aaHOH CTORca BhlBO)]HTCH B rrpe)]
llOJIOmeHHH ITO )]BHmy~eecH TeJIO HMeeT ltlopMy nrapa H ITO
cpena B KOTOpOH rrpOHCXO)]HT )]BHmeHHe - aerrpepsmaa Ilocnonshyuoe upemroaoaeenae aaaenoxro He onpasmasaerca xorna npa
l~BHmeHHH B raae paaxepsr RaneJIbRH CTaHOBHTcH cpaBHHMhlMH
CO Cpe)]HeH )]JIlIHOH CBo6o)]HOrO nYTH raaonsrx MOJIeRyJI TaRHM o6pashy
u 6aOM OTHOIlleHHe Ii cpenaea )]JIHHhI CBO O)]HOrO I1yTH R panaycy
xanna MomeT CJIymHTb xparepnen npllMeBHMOCTII HJIH HenplIMe-
BllMOCTll aaxoua CTORca eCJIll 8TO oruornenae MaJIO ( ~ 1) TO aaROH CTORca upaxenarr MOiKBO B npOTllBOnOJIOmHOM CJIyqaeshy
aaROH CTORca HerrpllMeHHM
I a] nPAHTMQECHOE OCymECTBJIEHI1E OnbITA MI1JIJIHH8HA 17
IJJISI roro lJTo6hI YlJecTJ orcrynzreaaa OT 3aHOHa Croxca PJISI
OlJeHIgt MaJIeHIgtRHX xanenex 6LIJIO upennoateao nOJIIgt30BaTIgtCSI BMeCTO (21) CJIepyIOIllHM HCnpaBJIeUHLIM BLIpaiKeHHeM PJISI CTOHCOshy
BOH CHJILI 6ljaV gF _ (31)-
1+ A-a
me A - aexoropaa nOCTOSlHHaSl RaR BHPUO aTO BLIpaiKeHHe
nocrpoeao TaH lJTO npH A- -+0 OHO nepexonar B fJOpMyJIya Croxca (21) IIpH nosroma aroii HCnpaBJIeHUOM fJ0PMYJILI MLI nOJIyshylJaeM AJISI a6COJIIOTHOH BeJIHlJHlihI aapana BMeCTO (25) cnerryiontee BLIpaiKeHHe
9 V2middott Ij 312VI2
(VE+Vg )- ge- (a - p)I2l l2 ~(1+A~Y2 (32)
llTo6LI HaHTH a6COJIIOTHyIO BeJIHlJHHY aapana no aTOM fJopMyJIe aano 3UaTIgt nocToHHHyIO A Onaarco MHJIJIHHaU noxaaan RaHHM ofipaacxr MO~HUO uaMTH HCTHHHyIO BeJIHlJHllY aapana He npafieran R onpeAeJIeHHIO )TOM nocronaaofi
113 conOCTaBJIeUUSl fJOpMyJl (25) H (31) JIerRO HaHTH oraomeshyHHe BeJIHlJHHLI eo R aapSlAY BLIlJHCJIeHUOMY 6ea nonpanna
1
eeo_
- (1+ A ~Y2 HnH
e~3 ( 1+ A ~ ) = e23bull
Ho nnaaa caotiozraor-o npo6era A o6paTHO nponopnaonansaa naBneIIlIIO raaa p n03ToMY
e~3 (1 + a) = e23 (33)
IAe B - uexoropaa HOBaSl nOCTOHHuaSl ECJIH HaMeUSlTIgt naanenae p H AnSI Ramporo auaseaaa nanneshy
HHH BLIlJHCnHTIgt RamYIllYIOcSI nenaxany aapana e (6ea nonpaaxa eZ13TO COrJlaCHO fJopMyne (33) MeiKAY H 1 pa poniKUa HMeTIgt
MeCTO nnueMuaSl aaBHCHMOCTIgt Hpn aTOM TaR HaR lJneu Blpa B fJopMyne (33) arpaer ponlgt
ManoM nonpanrca TO B HalJeCTBe panayca xannn a MOiKHO B3HTIgt BenHlJnHY BLIlJHCJlHeMYIO no ueacnpaanenaoii fJopMyJIe CTOHca CM fJ0PMYJlY (23)] B caMOM AeJIe HOHCTaUTa B cor-nacuo HaMeshypeUHHM MHJlJIHHlHa panaa
~B = 0000617 l
2 a B mnOJlbctt T I ~ r ~ i ~i~
ilild~ll bull 11l ~------
8
18 3JIEHTPOH sr-o 3APHD n MACCA [r-a I
eCJIn p naMepeHO B CUHTnMeTpax pTyTHoro cToJI6a n a-B caHTn-MeTpax
Pnc 3 rne oca opnnaar
7
JoD
sect I
~
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~
V
aa OCM aficnacc OTJIOmeHIlI aHaIeHlIH 1fppoundl a aa e2
a bull 108 uoreaaraaaer ITO rpefiyeuan qgtopMyshyJIOM (33) JIMHeiiHaH aashyBnCIlMOCTb cyurecrnyer B geMcTBnTeJIbHOcTM IToshynaraa B qgtopMyJIe (33) 1fp =0 MJIM a = co T e nepexona R npenensuoshyMy CJIylfaIO xorna aaROH CTORca gOJlmeH 6IlITb cnpaaertnaa (paguyc sashyCTM~bI 6eCROHetIHO BeJIMR no cpasnenmo CO cpenshyHeii gJInHOM cBo6ogHorO
zoo f 300 liDO pOD nYTH) HaiigeM e2a = e~a pa arnr e =eo TaRHM o6pashy
Pac 3 aOM gJIH aaxoamenaa nCTMHHoro aHaIeHHH aashy
pana BJIeRTpOHa eo gocTaTOtIHO BRCTpanOJIIlpOBaTb npHMYIO go nepe-CeleHMH ee C OCbIO opnanar
Ha middotpMC 4 npaaenema tIeTbIpe cnocorioa PJIH tIaCTII~ paaJIMtIHOII B noanyxe I I - xansns-Rn MaCJIa B sozropone I I 1- RaneJIbRM pTyTM B sosztyxe IV -TIaCTn~1iI
lIIeJIJIaRa B soanyxe Bee IeTbIpe npmnre nepeceshyRaI9T OCb opnauar B 00- ~
HOH TOIRe aapHo BJIeR- ~70
TpOHa He aaBMCMT HM OT npaponsr tIaCTM~ HH OT IIPMPOgliI raaa oRpymashyiomero IaCTMI(bI
OnbITbI MHJIJIMRBHa HMeIOT 60JIblIIOe npIIH~Mshynaansuoe anaseaae TaR RaR OHM C nOJIHoii OIeshyBlIgHOCTbIO pORaaIiIBaIOT aTOMIICTMIeCHYIO npnposhy
npmnae nocrpoeaaue TaRIIM me
npapojrsr I - RaneJIbRM MaCJIa
500100ZOO I 300100
75f----+---+7shy
80--------
po Pac 4
~y BJIeRTpllleCROrO aapana IIo aenasaero BpeMeHM raxace H a6COJIIOTHOe aaaaenae aapHg8~J BJIeRTpOHa e = 4770 10-10 CGSE nOJJyIeHHOe 11M CIlITaJIOCb Ha1l60JIee t TOIHbIM COBepmeHHO Heshyomnp8HHO onaaxo BbIHCHMJIOCb ITO ltlTO ananeane copepmllT cncrashy
sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
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C
-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
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T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
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18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
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39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
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63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
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TpUlJeCTB8 B raaax B lJaCTHOCTU HCCJIeAOBaHue paapHA8 B paapeshymeBHhIX raaax H aayxenae CBOHCTB BoaBHHaKllIJUX UPh aTOM RIshyTOAHhIX JIylJeH nOHaa8JIH ITO aTCMLI OTpHUaTeJILHOIO llJIeHTpHshy
middotlJeCTB8 MoryT 6hITIgt JIerHO nOJIYlJeHhI B CB060AHOM ceCTORHUH Heshymiddot CBHaaHHLIMH C 06L1lJHltIMU SfOMaMU semecraa 3a llTHMU aTOMaMU OTpUQaTeJILHOrO 3JIeRTpUIeOTB8 IICTOpllleCHH yTBepAUJIOCL aaasashyHue 3JIeHTpOHOB npeAJIOmeHHOe CToHeeMj1891 r) AJI~ 060aHalJeshyHHH 3JIeMeHTSpHhIX HOJIlllJeCTB 3JIeHTpU1JeCTDa JII060F() iulali~y
sect 2 OnpepeJleHUe aapana 9J1eKTpOHa
Onpeneaeaae cpennero aapana raaosoro HOHa 6hIJIO nnepasra npoaaseneao AiR 1lm TOMCOHOM O)]HaHO npaxoo AOH8aSTeJIbCTBO
bull JHCHpeTHOCTH 3JIeHTpHlJeCJiHX aapanoa H nepnsre TOtHhIe onpeneshyJIeHIIH BeJIlllJlIHhI aapana 3JIeHTpOHa nyTeM aaxoasnenaa aapanos OTAeJILHhIX 1JaCTHQ 6hIJIU BhInOJIHeHLI MIIJIJIHKIlHOM B 1911middot r
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3HCnep1lMeHTaJILHhIH MeTOn npllMeHeHHLTit MUJIlIUH3UOM aashykJIlOlJaJICH B nenocpencraeauox H3MepeHIIH aapana 01JeHb~SJIeHLHHX
xanenex MaCJIa ITpeAcTaBHM ce6e TaHyIO HaneJIbHY Mempy 06HJIa)JshyRaMH r~pDaOHTaJIbHO pacnonoaeenaoro HOHAeHCaTOpa ECJIh aa
c -~j~l~
OnpEnEJIEHHE aAPHlA9JIERlPOHA J3
xoanencaropa Hlil HaJIOmeJJo none lo aanna oYAeJ 8amp60fijlQ nanarraquo BCJIeqcTBue MaJILlX paaaepos
r n8Aftb paBHOMepHO TaR liaR ee nee mg ypaaaoaemaaaarca canoa ~0~onpOTUBJIeHuaBoaAyxapaBHoA no aaRoHy CTORca ~
f F=67t~avg (21) ~ I
tXAe vg - CROpOCTb nazteaaa IJ - ROj)lPlPUuueHT sayrpeaaero rpeaan Boapyxa U a- paAlfyc RanJIU yen CJIOBlfe
-mg==6ltYjavg (22)
AaeT B03MO~OCTb BLllIlfCJIUTb panayc xanna B caMOM AeJIe 000 3HaJIlfM nJIollHocTb Be~eCTBa xanna xepes a nJIOTHOCTb soanyxa lIepea p Torna npaaaaaa BO BHUMaHlfe qTO ~i maplfR C BeCOM
mg = ~ Itqag naAalO~lfH B soanyxe AencTByeT no aaxoay
ApxH~eAa e~e CUJIa aanpasneaaaa naepx U panaaa itatgl MY
MomeM nepenacars paseacrao (22) B BJlAe
4alta3 (a - p)g = 6ltYjavg
OTHYAa 3 J2V 12
a--middot g (23)- y2 (a- p)I2l 2 bull
llpeACTaBUM ce6e rerreps xro na nJIaCTlfHLl xoaneacaropa aashy lt rIOmeHa paaaocrr nOTeHUlfaJIOB BeJIUlIJlHa U aanpasneaae ROTOpoA rloAoopaHLl TaR qTOOLl xanenssra nOA AeAcTBueM 3JIeRTpUqeClRoro nOJIa iIOAHHMaJIa~ ssepx 060llHaqaa sepea vE CROpOCTbsroro nOA1gteMa ROTOpLltt RaR U rraneaae 6YAeT npoacxonarr pasaoshyMepHo MLl MomeM nanacarr
~e-mg = 6ltYjavE (24)
rne ~ - aanpaaseanocrr nOJIa BHyTpH xoaneacaropa lis (22)B ~(24) noaysaea
OOjU (v +v ) e= ~ g E
UJIH aaMeHUB HeAocTynHLlH aenocpencraeaaoay HSMepeBulO panaye aanna aero BLlpameBueM (23) lIepes Vg
1- fCV2 YJ32 e = 9y 2 II I(vg +vE) (25)
~(a-p) 2 g 2
1I0Hu3ya B03AYX MemAY nJIaCTUHaMlf aoaneacaropa (aanpaxep npa nOMO~H pearcenoacaax JIyqei) MomBO UaMeBHTp aapaJli HanaH
xanaa 0Ha 6YAel
14 8JIEHTPOH ErO 3APR~ If MACCA [r-a I
ECJnI npn aTOM BeJIUlJUny nanpaaceaaocra nOJIJl OCTaBllTb npeamcii TO CROpOCTb RanJIH H3MeHHTCJl H craner pannoii VB MhI UMeeM
_ 1 i - 1rv~2y12 e1 - 9 V 2 ~ 11 11 (Va +VB)
(a-p) 2g 2
oM6uuupyJl aTO nsrpazseune C (25) Han~eM
- 1rv~2YJg2 Se = e - e 1= 9V2middot ~ 1 11 (VB - VB) (26)
(a-p) 2g 2
113MeHJlJl lIeCROJIbRO pa3 3apJl~ MOllmO C onnoa H Ton me HanJIeH npOU3BeCTH 60JlbIIIOe lJUCJIO 1I3MepeUlill
sect 3 Ilpaarauecsoe ocymecrnaenae onura MHJIJIHKaHa
T~aTeJIbUO OTIIIIHepoBauHhIe nJIaCTlIUHH xonzreacaropa PI H P2 (puc 1) ynepxraaarorca na onpe~eJIeUHOMpaCCTOJlHIIII TOlJHO napanshyJJeJIbUO npyr ~pyry npa nOMOIIIH H30JIHpYlOIIIell npORJIa~RH JJ
Bopxaaa IIJIaCTHURa PI HMeeT B cepenaae ornepcrae 0 lJepe3 ROshyTopoe BUYTPb xoaneucaropa noshyt nanaror HcnhITyeMhIe RaneJIbRH MaCJIa paCnhIJIJleMOrO upn nOMOIIIH nYJIbBepH3aTopa B ~HJIHU~P C M3BeCTUO lJTO npn paCnhIJIeUHH mH~ROCTell 06pa3ylOIIIlIeCJl RanJIU ueCYT 3JIeRTpHlJeCRHn 3apJl~ TaR lJTO BHYTPb Rou~eucaTopa nona~ashy
PRe 1 Cxeva IWH~eHCaTOpa MUJIshy lOT yme 3apJllleUUhIe RanJIH qepea nmcana OROIIIRO F 1 xansnsxa OCBeIIIaeTCll
06hIlJUO CBeTOM nyr-n na6JIIO~eUHe me Be~eTCJl npn nOMOIIIn MHHpOCRona lJCpe3 OROIIIRO F g bull TaR RaR Ha6JIIO~eHHe npoacxonar B UanpaBJIeHIUI llepneU~IIRYJIJlPEIOM R OCshyBeIIIalOIIIcMy nylJHy CBeTa TO Bbl6paHUaJl xanenrxa B none 3peHHJl MHHpOCHona nanaa HaR aprcaa 3Be3~OlJRa ua TeMHOM epOHe (RaR n yJIbTpaMHRpOCIwnc) ORHO F 2 CJIymHT ~JIJl auxona nyxrea CBCTa TaH HaH nororomaacs CTeHHaMH HaMephI CBeT BhI3BaJI 6hI BHyTpH nee nepanuouepaoe aarpesaaao H nOTORH noanyxa MeIIIalO~He Ha6JIIOshy~ClIHJlM qepc3 TO llW OROIIIRO F 2 BUYTPb HOH~CHcaTopa MoryT 6bITb nponYIIICHbI pCHTrCHOBCIUlC JIylJH C03~aIOIIIHC HOHH3a~HIO nosnyxa B PC3YJIbTaTe HOTOpOll 3apJl~ RanCJIbHH MomCT 6blTb H3MCHeu TIOJIHaJl CXCMa YCTaHOBIH MHJIJIHH3Ua npaneneaa na pHC 2
M3MCpCHHC cxopocrn nanenarr HJIn nO~beMa RanCJIbRII npoaaaoshy~HJIOCb nyTeM onpC~CJIClIHJl npOIgtWllyTKa BpCMCHH uC06xo~lIMoro
~J]Jl npoxozanenaa Mem~y ~BYMll UHTJlMH pacnoJIOllWUUbIMII B eposhyHaJlbUOn WIOCROCTH MI1HpOCROna aa MCpy CHOpOCTII 6paJIa~agt
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otiparuaa BeJIHtIHUa 8TOrO npoxezsyraa spexeua B Ta6JlIUIe I npashyBe~eBO HeCROJIhRO peayzn-raroa n3MepeHuH MnJIJIUR=lHa Coshy
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B-6aTapeH m-MaHoMeTp R-peHTreHoBcRaH Tpy6R8
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PaaHOCTLBpelllll qUCJIO00 aTHLIX06parHoe BpeMeH CARRnOllLeMft BpeMfJ
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RHnone -1 ---1r1
1B (B cex)
80708 001236
22375 00470
14056 000719
0012579600
34785 002870
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7003751
0005348 1
3001616
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nepeaashy
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0005387
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1 (aflll~) n ig+iB
0005366
0005371
0005375
0005374
0005376
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16 3JJERTPOH zr-o 3APR)J H MACCA [ra I
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ua 6 7 1 e)]l1Hll~ rrpllqeM caua enaamra nepeaapanna (UHThlH CTOJI6e~ Ta6JIll~hl) llMeeT nOCTaTOqHO nocroarr aoe aaaxeaae
ltDopMyJIa (25) rroxaausaer ITO a6COJIIOTHaH Be1JllqllHa aapana RarrJIII )]OmIltHa 6hlTb rrporropnaoaansna CYMMe Vg + VE (IlleCTOH
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llMeeT MeCTO B )]enCTBHTeJIbHOCTll HaROHe~ llacpaBHeHllH rrHToro
II socsuoro CTOJJ6IWB Bll)]HO ITO enaaana nepeaapanrca H e)]IIHH~a aapana Mem)]y co6oii COBrra)]aIOT onars-raxa C TOqHOCTblO )]0 Heshy
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RBJIeHHM
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ORaaaJIOCb ITO ecna onpe)]eJIHTb aapan KaneJIeR paaJIllltJHoro
panayca TO npa yxeusnrenaa I10CJIe)]HerO snasane rrOJIyqalOTCH
llOCTOHHHhle aaassaaa e HO )]JIH OltJeHb MaJIeHbRHX RalleJIeK e 6hlCTpO noapacraer C YMeHbIlIeHlleM panayca TaRllM 06paaOM
BhlXO)]HT ITO aapH)] 8JIeRTpOHa He HMeeT llOCTOHHHoro aaaseaaa a MomeT aanacerr OT paaxepos xarrensxa
MHJIJIlm8H 06bHCHHJI 8TOT HBHO aecoofip aansni peayJIbTaT TeM
ITO aaROH CTORca HeJIb3H npHMeHHTb R )]BllmeHlllO OltJeUb MaJIeHbshy
RHX RarreJIeR )JenCTBHTeJIbHO aaHOH CTORca BhlBO)]HTCH B rrpe)]
llOJIOmeHHH ITO )]BHmy~eecH TeJIO HMeeT ltlopMy nrapa H ITO
cpena B KOTOpOH rrpOHCXO)]HT )]BHmeHHe - aerrpepsmaa Ilocnonshyuoe upemroaoaeenae aaaenoxro He onpasmasaerca xorna npa
l~BHmeHHH B raae paaxepsr RaneJIbRH CTaHOBHTcH cpaBHHMhlMH
CO Cpe)]HeH )]JIlIHOH CBo6o)]HOrO nYTH raaonsrx MOJIeRyJI TaRHM o6pashy
u 6aOM OTHOIlleHHe Ii cpenaea )]JIHHhI CBO O)]HOrO I1yTH R panaycy
xanna MomeT CJIymHTb xparepnen npllMeBHMOCTII HJIH HenplIMe-
BllMOCTll aaxoua CTORca eCJIll 8TO oruornenae MaJIO ( ~ 1) TO aaROH CTORca upaxenarr MOiKBO B npOTllBOnOJIOmHOM CJIyqaeshy
aaROH CTORca HerrpllMeHHM
I a] nPAHTMQECHOE OCymECTBJIEHI1E OnbITA MI1JIJIHH8HA 17
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OlJeHIgt MaJIeHIgtRHX xanenex 6LIJIO upennoateao nOJIIgt30BaTIgtCSI BMeCTO (21) CJIepyIOIllHM HCnpaBJIeUHLIM BLIpaiKeHHeM PJISI CTOHCOshy
BOH CHJILI 6ljaV gF _ (31)-
1+ A-a
me A - aexoropaa nOCTOSlHHaSl RaR BHPUO aTO BLIpaiKeHHe
nocrpoeao TaH lJTO npH A- -+0 OHO nepexonar B fJOpMyJIya Croxca (21) IIpH nosroma aroii HCnpaBJIeHUOM fJ0PMYJILI MLI nOJIyshylJaeM AJISI a6COJIIOTHOH BeJIHlJHlihI aapana BMeCTO (25) cnerryiontee BLIpaiKeHHe
9 V2middott Ij 312VI2
(VE+Vg )- ge- (a - p)I2l l2 ~(1+A~Y2 (32)
llTo6LI HaHTH a6COJIIOTHyIO BeJIHlJHHY aapana no aTOM fJopMyJIe aano 3UaTIgt nocToHHHyIO A Onaarco MHJIJIHHaU noxaaan RaHHM ofipaacxr MO~HUO uaMTH HCTHHHyIO BeJIHlJHllY aapana He npafieran R onpeAeJIeHHIO )TOM nocronaaofi
113 conOCTaBJIeUUSl fJOpMyJl (25) H (31) JIerRO HaHTH oraomeshyHHe BeJIHlJHHLI eo R aapSlAY BLIlJHCJIeHUOMY 6ea nonpanna
1
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e~3 ( 1+ A ~ ) = e23bull
Ho nnaaa caotiozraor-o npo6era A o6paTHO nponopnaonansaa naBneIIlIIO raaa p n03ToMY
e~3 (1 + a) = e23 (33)
IAe B - uexoropaa HOBaSl nOCTOHHuaSl ECJIH HaMeUSlTIgt naanenae p H AnSI Ramporo auaseaaa nanneshy
HHH BLIlJHCnHTIgt RamYIllYIOcSI nenaxany aapana e (6ea nonpaaxa eZ13TO COrJlaCHO fJopMyne (33) MeiKAY H 1 pa poniKUa HMeTIgt
MeCTO nnueMuaSl aaBHCHMOCTIgt Hpn aTOM TaR HaR lJneu Blpa B fJopMyne (33) arpaer ponlgt
ManoM nonpanrca TO B HalJeCTBe panayca xannn a MOiKHO B3HTIgt BenHlJnHY BLIlJHCJlHeMYIO no ueacnpaanenaoii fJopMyJIe CTOHca CM fJ0PMYJlY (23)] B caMOM AeJIe HOHCTaUTa B cor-nacuo HaMeshypeUHHM MHJlJIHHlHa panaa
~B = 0000617 l
2 a B mnOJlbctt T I ~ r ~ i ~i~
ilild~ll bull 11l ~------
8
18 3JIEHTPOH sr-o 3APHD n MACCA [r-a I
eCJIn p naMepeHO B CUHTnMeTpax pTyTHoro cToJI6a n a-B caHTn-MeTpax
Pnc 3 rne oca opnnaar
7
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a bull 108 uoreaaraaaer ITO rpefiyeuan qgtopMyshyJIOM (33) JIMHeiiHaH aashyBnCIlMOCTb cyurecrnyer B geMcTBnTeJIbHOcTM IToshynaraa B qgtopMyJIe (33) 1fp =0 MJIM a = co T e nepexona R npenensuoshyMy CJIylfaIO xorna aaROH CTORca gOJlmeH 6IlITb cnpaaertnaa (paguyc sashyCTM~bI 6eCROHetIHO BeJIMR no cpasnenmo CO cpenshyHeii gJInHOM cBo6ogHorO
zoo f 300 liDO pOD nYTH) HaiigeM e2a = e~a pa arnr e =eo TaRHM o6pashy
Pac 3 aOM gJIH aaxoamenaa nCTMHHoro aHaIeHHH aashy
pana BJIeRTpOHa eo gocTaTOtIHO BRCTpanOJIIlpOBaTb npHMYIO go nepe-CeleHMH ee C OCbIO opnanar
Ha middotpMC 4 npaaenema tIeTbIpe cnocorioa PJIH tIaCTII~ paaJIMtIHOII B noanyxe I I - xansns-Rn MaCJIa B sozropone I I 1- RaneJIbRM pTyTM B sosztyxe IV -TIaCTn~1iI
lIIeJIJIaRa B soanyxe Bee IeTbIpe npmnre nepeceshyRaI9T OCb opnauar B 00- ~
HOH TOIRe aapHo BJIeR- ~70
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npmnae nocrpoeaaue TaRIIM me
npapojrsr I - RaneJIbRM MaCJIa
500100ZOO I 300100
75f----+---+7shy
80--------
po Pac 4
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sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
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2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
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PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
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R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
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CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
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6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
MeCTa pOJDRHhI 6hITb 3aHHThI eme He OTRPhIThIMJI 3JIeMeUTaMJI
B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
pue OH Ha3BaJI 3Ha60pOM 3RaaJIIOMJlHJleM JI 3RaCJlJIHllJleM JI onacazr
JlX CBoHCTBa Bcxope nOCJIe aroro B 1875 r 6hIJI OTRphIT 3JIeMeHT
ua3BaHHhIfI raJIJIlI8M MeH)IeJIeeB TOTIaC me YRa3aJI na TO ITO raJIJIJlH
JI ecrr rrpencxaaaumrti JIM 3HaaJIIOMJlHJlH JI ITO OH pOJImeH JlMeTb aTOMshy
UhIH nee OROJIO 68 y)leJIbHhIH sec 60-59 JI aTOMHhIIf 061gteM 115 Ha caMOM )IeJIe -aToMHhIH aec raJIJIlIlI ORa3aJIClI paBHhIM 699 ynernshy
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nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
TO 3JIeMeHThI C aHaJIOrHIHhIMH CBOHCTBaMlI nepllO)IIIIeCHlI nOBTOshy
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UYIO CIICTeMY 3JIeMeHTOBraquo xoropaa ORa3aJIaCb npaBIIJIbHOH Heshy
CMOTpH aa TO ITO aTOMHhIH nee HaR BhIHCHIIJIOCb BnOCJIe)lCTBIIII_
A TOMbI H30TOITbI [roll II
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ce6H npaHTlItIeCHH o)lIHaHoBbIM 06pa30M aecaorpa na TO ITO lIX
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IIIQMernaTb ua O)HO II TO me MeCTO B nepaonasecxon ClICTeMe (CJIOBO
laquoH30TOnbI) B 6yHBaJIbHOM nepenone C rpesecreoro oaaasaer laquo3aHlIMaIOshy
1U1Ie O)HO II TO me MeCTO)) XlIMlItIeCHlIe 8JIeMeHTbI aa caMOM neshy
JIe HBJIHIOTCH CMeCHMlI 1I30TonOB a HX aTOMHbIe seca onpezrenaeshy
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necax cymecmyror raroxe aTOMbI 06JIa)aIOrnlIe pa3JIHtIHbIMlI CBOHshy
ClBaMlI npa O)lIHaHOBbIX aTOMHbIX necax (1I306apbI CM T II rn XVIII)-
TaH HaH O)HaHO rrepaona-recxaa ClICTeMa 8JIeMeHTOB OHa3aJIaCb
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IIoCHOJIbHY XlIMlIqeCHlIH aTOMHbIH nee B )eHCTBlITeJIbHOCTlI He ecrs
lyrnecTBeHHbIH np1I3HaH amoua OCHOBHOH xapaHTeplICTHHOH 8JIeshy
MeHTa HBJIHeTCH ero nOJIOmeHlIe B neplIO)lItIeCHOH ClICTeMe a 810
nOJIOmeHlIe onpenerraerca HOMepOM MeCTa 3aHlIMaeMoro )aHHbIM
meMeHTOM B Ta6JIlI~e Meaneneena rJIy60HaH npanaaa BamHOCTlI
aroro qlICJIa naaraaaesroro amOMHb~M HOMepOM COCTOlIT B TOM ITO
OHa HBJIHeTCH na caMOM nene He rrpOCTO rropH)HOBbIM HOMepOM
HO O)HOH H3 OCHOBHbIX gJuaU1ieCXUX HOHCTaHT aTOMa HaH 810 6y)eT
nOHa3aHO B )aJIbHellrn8M
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cpe)HIIM aTOMHbIM BeCOM II aTOMHbIM HOMepOM cymecrnyer npocraa
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middot~JiIOinl Bll~HO ITO nee ara CBOHCTBa He rozirxo HcnLITLIBaIOT nepaoshy
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pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
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11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
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3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
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a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
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Ha middotpMC 4 npaaenema tIeTbIpe cnocorioa PJIH tIaCTII~ paaJIMtIHOII B noanyxe I I - xansns-Rn MaCJIa B sozropone I I 1- RaneJIbRM pTyTM B sosztyxe IV -TIaCTn~1iI
lIIeJIJIaRa B soanyxe Bee IeTbIpe npmnre nepeceshyRaI9T OCb opnauar B 00- ~
HOH TOIRe aapHo BJIeR- ~70
TpOHa He aaBMCMT HM OT npaponsr tIaCTM~ HH OT IIPMPOgliI raaa oRpymashyiomero IaCTMI(bI
OnbITbI MHJIJIMRBHa HMeIOT 60JIblIIOe npIIH~Mshynaansuoe anaseaae TaR RaR OHM C nOJIHoii OIeshyBlIgHOCTbIO pORaaIiIBaIOT aTOMIICTMIeCHYIO npnposhy
npmnae nocrpoeaaue TaRIIM me
npapojrsr I - RaneJIbRM MaCJIa
500100ZOO I 300100
75f----+---+7shy
80--------
po Pac 4
~y BJIeRTpllleCROrO aapana IIo aenasaero BpeMeHM raxace H a6COJIIOTHOe aaaaenae aapHg8~J BJIeRTpOHa e = 4770 10-10 CGSE nOJJyIeHHOe 11M CIlITaJIOCb Ha1l60JIee t TOIHbIM COBepmeHHO Heshyomnp8HHO onaaxo BbIHCHMJIOCb ITO ltlTO ananeane copepmllT cncrashy
sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
-8
$
C
-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
Ilepnaa Ta6JIIIlla 6hIJIa ony6JIlIROBaHa MeH)IeJIeeBhIM B 1869 r
R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
nOplI)IOR CJIe)lOBaHJllI Hepenxo 3TJI Jl3MeHeHII1I 6hIJIJI necsua cymeshy
CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
14013) aTOMHhIe neca ropaa JI ypaHa no )IaHHhIM roro BpeMeHJI
6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
MeCTa pOJDRHhI 6hITb 3aHHThI eme He OTRPhIThIMJI 3JIeMeUTaMJI
B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
pue OH Ha3BaJI 3Ha60pOM 3RaaJIIOMJlHJleM JI 3RaCJlJIHllJleM JI onacazr
JlX CBoHCTBa Bcxope nOCJIe aroro B 1875 r 6hIJI OTRphIT 3JIeMeHT
ua3BaHHhIfI raJIJIlI8M MeH)IeJIeeB TOTIaC me YRa3aJI na TO ITO raJIJIJlH
JI ecrr rrpencxaaaumrti JIM 3HaaJIIOMJlHJlH JI ITO OH pOJImeH JlMeTb aTOMshy
UhIH nee OROJIO 68 y)leJIbHhIH sec 60-59 JI aTOMHhIIf 061gteM 115 Ha caMOM )IeJIe -aToMHhIH aec raJIJIlIlI ORa3aJIClI paBHhIM 699 ynernshy
HhIH nee 596 II a TOMHhIH 061gt eM 117 OCHOBHOH epaRT 113 xoroporo IICXO)lJlJI p YI MeH)IeJIeeB npJl
nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
TO 3JIeMeHThI C aHaJIOrHIHhIMH CBOHCTBaMlI nepllO)IIIIeCHlI nOBTOshy
pHIOTClI MCXO)lR 113 aroro eMy ynanocs nOCTpOIlTb laquoeCTeCTBeHshy
UYIO CIICTeMY 3JIeMeHTOBraquo xoropaa ORa3aJIaCb npaBIIJIbHOH Heshy
CMOTpH aa TO ITO aTOMHhIH nee HaR BhIHCHIIJIOCb BnOCJIe)lCTBIIII_
A TOMbI H30TOITbI [roll II
He MomeT CqHTaTbCH HOHCTaHTOH 0)H03HatIHO onpenenmomea IIH)HBH)yaJIbHbIe CBOHCTBa aTOMa AeHCTBHTeJIbHO HHme MbI YBH)lIM
ITO cyrneCTBYIOT aemecraa xoropsre B XlIMlItIeCHOM OTHomeHlIlI nenyr
ce6H npaHTlItIeCHH o)lIHaHoBbIM 06pa30M aecaorpa na TO ITO lIX
ATOMHbIe neca pa3JIlItIHbI Taxae nemecrna Ha3bIBaIOTCH usomonauu TaH HaH BCJIe)CTBlIe lIX XlIMlItIeCHOH Tom)eCTBeHHOCTlI lIX He06xo)lIMO
IIIQMernaTb ua O)HO II TO me MeCTO B nepaonasecxon ClICTeMe (CJIOBO
laquoH30TOnbI) B 6yHBaJIbHOM nepenone C rpesecreoro oaaasaer laquo3aHlIMaIOshy
1U1Ie O)HO II TO me MeCTO)) XlIMlItIeCHlIe 8JIeMeHTbI aa caMOM neshy
JIe HBJIHIOTCH CMeCHMlI 1I30TonOB a HX aTOMHbIe seca onpezrenaeshy
MbIe 06bItIHbIMlI XlIMlItIeCHlIMlI MeTo)aMlI-cpe)HlIMlI 1I3 aTOMHbIX
BeCOB ncex otipaayionrax lIX 1I30TorrOB Hapany C aTOMaMlI 06JIashy
)aIOrnlIMlI onem 6JI1I3HlIMlI CBOHCTBaMlI npn pa3JIlItIHbIX aTOMHbIX
necax cymecmyror raroxe aTOMbI 06JIa)aIOrnlIe pa3JIHtIHbIMlI CBOHshy
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
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90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
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11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
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OOHHOH 0_TlJ6TJIHBOCTblO $OpMyJIHpOBaHHhIH reJILMrOJItoQeMB pelJH npoaaaecenaoa B lJeCTb lt1gtap8AeH laquoECJIH MhInpuHIiMaeM cymeshyCIBOBaHHe aTOMOB 3JleMeHTOB TO MhI He MomeM Ha6eJHaTIgt U AaJIbshylIeHmerO CJIeACTBUR - ITO 11 3JIeHTplllJeCTBO HaH nOJIOmUTeJIbHOe
middot TaH 11 OTpUuaTeJIbHOe paaneaeao aa onpeneneaasre ltmeMeHTapHhIe ROJIHlJeCTBa xoropue BeAyT cetia HaH aTOMhI aJIeHTpHlJeCTBagt)
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TpUlJeCTB8 B raaax B lJaCTHOCTU HCCJIeAOBaHue paapHA8 B paapeshymeBHhIX raaax H aayxenae CBOHCTB BoaBHHaKllIJUX UPh aTOM RIshyTOAHhIX JIylJeH nOHaa8JIH ITO aTCMLI OTpHUaTeJILHOIO llJIeHTpHshy
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sect 2 OnpepeJleHUe aapana 9J1eKTpOHa
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bull JHCHpeTHOCTH 3JIeHTpHlJeCJiHX aapanoa H nepnsre TOtHhIe onpeneshyJIeHIIH BeJIlllJlIHhI aapana 3JIeHTpOHa nyTeM aaxoasnenaa aapanos OTAeJILHhIX 1JaCTHQ 6hIJIU BhInOJIHeHLI MIIJIJIHKIlHOM B 1911middot r
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3HCnep1lMeHTaJILHhIH MeTOn npllMeHeHHLTit MUJIlIUH3UOM aashykJIlOlJaJICH B nenocpencraeauox H3MepeHIIH aapana 01JeHb~SJIeHLHHX
xanenex MaCJIa ITpeAcTaBHM ce6e TaHyIO HaneJIbHY Mempy 06HJIa)JshyRaMH r~pDaOHTaJIbHO pacnonoaeenaoro HOHAeHCaTOpa ECJIh aa
c -~j~l~
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xoanencaropa Hlil HaJIOmeJJo none lo aanna oYAeJ 8amp60fijlQ nanarraquo BCJIeqcTBue MaJILlX paaaepos
r n8Aftb paBHOMepHO TaR liaR ee nee mg ypaaaoaemaaaarca canoa ~0~onpOTUBJIeHuaBoaAyxapaBHoA no aaRoHy CTORca ~
f F=67t~avg (21) ~ I
tXAe vg - CROpOCTb nazteaaa IJ - ROj)lPlPUuueHT sayrpeaaero rpeaan Boapyxa U a- paAlfyc RanJIU yen CJIOBlfe
-mg==6ltYjavg (22)
AaeT B03MO~OCTb BLllIlfCJIUTb panayc xanna B caMOM AeJIe 000 3HaJIlfM nJIollHocTb Be~eCTBa xanna xepes a nJIOTHOCTb soanyxa lIepea p Torna npaaaaaa BO BHUMaHlfe qTO ~i maplfR C BeCOM
mg = ~ Itqag naAalO~lfH B soanyxe AencTByeT no aaxoay
ApxH~eAa e~e CUJIa aanpasneaaaa naepx U panaaa itatgl MY
MomeM nepenacars paseacrao (22) B BJlAe
4alta3 (a - p)g = 6ltYjavg
OTHYAa 3 J2V 12
a--middot g (23)- y2 (a- p)I2l 2 bull
llpeACTaBUM ce6e rerreps xro na nJIaCTlfHLl xoaneacaropa aashy lt rIOmeHa paaaocrr nOTeHUlfaJIOB BeJIUlIJlHa U aanpasneaae ROTOpoA rloAoopaHLl TaR qTOOLl xanenssra nOA AeAcTBueM 3JIeRTpUqeClRoro nOJIa iIOAHHMaJIa~ ssepx 060llHaqaa sepea vE CROpOCTbsroro nOA1gteMa ROTOpLltt RaR U rraneaae 6YAeT npoacxonarr pasaoshyMepHo MLl MomeM nanacarr
~e-mg = 6ltYjavE (24)
rne ~ - aanpaaseanocrr nOJIa BHyTpH xoaneacaropa lis (22)B ~(24) noaysaea
OOjU (v +v ) e= ~ g E
UJIH aaMeHUB HeAocTynHLlH aenocpencraeaaoay HSMepeBulO panaye aanna aero BLlpameBueM (23) lIepes Vg
1- fCV2 YJ32 e = 9y 2 II I(vg +vE) (25)
~(a-p) 2 g 2
1I0Hu3ya B03AYX MemAY nJIaCTUHaMlf aoaneacaropa (aanpaxep npa nOMO~H pearcenoacaax JIyqei) MomBO UaMeBHTp aapaJli HanaH
xanaa 0Ha 6YAel
14 8JIEHTPOH ErO 3APR~ If MACCA [r-a I
ECJnI npn aTOM BeJIUlJUny nanpaaceaaocra nOJIJl OCTaBllTb npeamcii TO CROpOCTb RanJIH H3MeHHTCJl H craner pannoii VB MhI UMeeM
_ 1 i - 1rv~2y12 e1 - 9 V 2 ~ 11 11 (Va +VB)
(a-p) 2g 2
oM6uuupyJl aTO nsrpazseune C (25) Han~eM
- 1rv~2YJg2 Se = e - e 1= 9V2middot ~ 1 11 (VB - VB) (26)
(a-p) 2g 2
113MeHJlJl lIeCROJIbRO pa3 3apJl~ MOllmO C onnoa H Ton me HanJIeH npOU3BeCTH 60JlbIIIOe lJUCJIO 1I3MepeUlill
sect 3 Ilpaarauecsoe ocymecrnaenae onura MHJIJIHKaHa
T~aTeJIbUO OTIIIIHepoBauHhIe nJIaCTlIUHH xonzreacaropa PI H P2 (puc 1) ynepxraaarorca na onpe~eJIeUHOMpaCCTOJlHIIII TOlJHO napanshyJJeJIbUO npyr ~pyry npa nOMOIIIH H30JIHpYlOIIIell npORJIa~RH JJ
Bopxaaa IIJIaCTHURa PI HMeeT B cepenaae ornepcrae 0 lJepe3 ROshyTopoe BUYTPb xoaneucaropa noshyt nanaror HcnhITyeMhIe RaneJIbRH MaCJIa paCnhIJIJleMOrO upn nOMOIIIH nYJIbBepH3aTopa B ~HJIHU~P C M3BeCTUO lJTO npn paCnhIJIeUHH mH~ROCTell 06pa3ylOIIIlIeCJl RanJIU ueCYT 3JIeRTpHlJeCRHn 3apJl~ TaR lJTO BHYTPb Rou~eucaTopa nona~ashy
PRe 1 Cxeva IWH~eHCaTOpa MUJIshy lOT yme 3apJllleUUhIe RanJIH qepea nmcana OROIIIRO F 1 xansnsxa OCBeIIIaeTCll
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M3MCpCHHC cxopocrn nanenarr HJIn nO~beMa RanCJIbRII npoaaaoshy~HJIOCb nyTeM onpC~CJIClIHJl npOIgtWllyTKa BpCMCHH uC06xo~lIMoro
~J]Jl npoxozanenaa Mem~y ~BYMll UHTJlMH pacnoJIOllWUUbIMII B eposhyHaJlbUOn WIOCROCTH MI1HpOCROna aa MCpy CHOpOCTII 6paJIa~agt
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B-6aTapeH m-MaHoMeTp R-peHTreHoBcRaH Tpy6R8
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RHnone -1 ---1r1
1B (B cex)
80708 001236
22375 00470
14056 000719
0012579600
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0005366
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0005375
0005374
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ORaaaJIOCb ITO ecna onpe)]eJIHTb aapan KaneJIeR paaJIllltJHoro
panayca TO npa yxeusnrenaa I10CJIe)]HerO snasane rrOJIyqalOTCH
llOCTOHHHhle aaassaaa e HO )]JIH OltJeHb MaJIeHbRHX RalleJIeK e 6hlCTpO noapacraer C YMeHbIlIeHlleM panayca TaRllM 06paaOM
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MHJIJIlm8H 06bHCHHJI 8TOT HBHO aecoofip aansni peayJIbTaT TeM
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llOJIOmeHHH ITO )]BHmy~eecH TeJIO HMeeT ltlopMy nrapa H ITO
cpena B KOTOpOH rrpOHCXO)]HT )]BHmeHHe - aerrpepsmaa Ilocnonshyuoe upemroaoaeenae aaaenoxro He onpasmasaerca xorna npa
l~BHmeHHH B raae paaxepsr RaneJIbRH CTaHOBHTcH cpaBHHMhlMH
CO Cpe)]HeH )]JIlIHOH CBo6o)]HOrO nYTH raaonsrx MOJIeRyJI TaRHM o6pashy
u 6aOM OTHOIlleHHe Ii cpenaea )]JIHHhI CBO O)]HOrO I1yTH R panaycy
xanna MomeT CJIymHTb xparepnen npllMeBHMOCTII HJIH HenplIMe-
BllMOCTll aaxoua CTORca eCJIll 8TO oruornenae MaJIO ( ~ 1) TO aaROH CTORca upaxenarr MOiKBO B npOTllBOnOJIOmHOM CJIyqaeshy
aaROH CTORca HerrpllMeHHM
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OlJeHIgt MaJIeHIgtRHX xanenex 6LIJIO upennoateao nOJIIgt30BaTIgtCSI BMeCTO (21) CJIepyIOIllHM HCnpaBJIeUHLIM BLIpaiKeHHeM PJISI CTOHCOshy
BOH CHJILI 6ljaV gF _ (31)-
1+ A-a
me A - aexoropaa nOCTOSlHHaSl RaR BHPUO aTO BLIpaiKeHHe
nocrpoeao TaH lJTO npH A- -+0 OHO nepexonar B fJOpMyJIya Croxca (21) IIpH nosroma aroii HCnpaBJIeHUOM fJ0PMYJILI MLI nOJIyshylJaeM AJISI a6COJIIOTHOH BeJIHlJHlihI aapana BMeCTO (25) cnerryiontee BLIpaiKeHHe
9 V2middott Ij 312VI2
(VE+Vg )- ge- (a - p)I2l l2 ~(1+A~Y2 (32)
llTo6LI HaHTH a6COJIIOTHyIO BeJIHlJHHY aapana no aTOM fJopMyJIe aano 3UaTIgt nocToHHHyIO A Onaarco MHJIJIHHaU noxaaan RaHHM ofipaacxr MO~HUO uaMTH HCTHHHyIO BeJIHlJHllY aapana He npafieran R onpeAeJIeHHIO )TOM nocronaaofi
113 conOCTaBJIeUUSl fJOpMyJl (25) H (31) JIerRO HaHTH oraomeshyHHe BeJIHlJHHLI eo R aapSlAY BLIlJHCJIeHUOMY 6ea nonpanna
1
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Ho nnaaa caotiozraor-o npo6era A o6paTHO nponopnaonansaa naBneIIlIIO raaa p n03ToMY
e~3 (1 + a) = e23 (33)
IAe B - uexoropaa HOBaSl nOCTOHHuaSl ECJIH HaMeUSlTIgt naanenae p H AnSI Ramporo auaseaaa nanneshy
HHH BLIlJHCnHTIgt RamYIllYIOcSI nenaxany aapana e (6ea nonpaaxa eZ13TO COrJlaCHO fJopMyne (33) MeiKAY H 1 pa poniKUa HMeTIgt
MeCTO nnueMuaSl aaBHCHMOCTIgt Hpn aTOM TaR HaR lJneu Blpa B fJopMyne (33) arpaer ponlgt
ManoM nonpanrca TO B HalJeCTBe panayca xannn a MOiKHO B3HTIgt BenHlJnHY BLIlJHCJlHeMYIO no ueacnpaanenaoii fJopMyJIe CTOHca CM fJ0PMYJlY (23)] B caMOM AeJIe HOHCTaUTa B cor-nacuo HaMeshypeUHHM MHJlJIHHlHa panaa
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2 a B mnOJlbctt T I ~ r ~ i ~i~
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8
18 3JIEHTPOH sr-o 3APHD n MACCA [r-a I
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zoo f 300 liDO pOD nYTH) HaiigeM e2a = e~a pa arnr e =eo TaRHM o6pashy
Pac 3 aOM gJIH aaxoamenaa nCTMHHoro aHaIeHHH aashy
pana BJIeRTpOHa eo gocTaTOtIHO BRCTpanOJIIlpOBaTb npHMYIO go nepe-CeleHMH ee C OCbIO opnanar
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HOH TOIRe aapHo BJIeR- ~70
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500100ZOO I 300100
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BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
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PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
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R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
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CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
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6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
MeCTa pOJDRHhI 6hITb 3aHHThI eme He OTRPhIThIMJI 3JIeMeUTaMJI
B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
pue OH Ha3BaJI 3Ha60pOM 3RaaJIIOMJlHJleM JI 3RaCJlJIHllJleM JI onacazr
JlX CBoHCTBa Bcxope nOCJIe aroro B 1875 r 6hIJI OTRphIT 3JIeMeHT
ua3BaHHhIfI raJIJIlI8M MeH)IeJIeeB TOTIaC me YRa3aJI na TO ITO raJIJIJlH
JI ecrr rrpencxaaaumrti JIM 3HaaJIIOMJlHJlH JI ITO OH pOJImeH JlMeTb aTOMshy
UhIH nee OROJIO 68 y)leJIbHhIH sec 60-59 JI aTOMHhIIf 061gteM 115 Ha caMOM )IeJIe -aToMHhIH aec raJIJIlIlI ORa3aJIClI paBHhIM 699 ynernshy
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nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
TO 3JIeMeHThI C aHaJIOrHIHhIMH CBOHCTBaMlI nepllO)IIIIeCHlI nOBTOshy
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UYIO CIICTeMY 3JIeMeHTOBraquo xoropaa ORa3aJIaCb npaBIIJIbHOH Heshy
CMOTpH aa TO ITO aTOMHhIH nee HaR BhIHCHIIJIOCb BnOCJIe)lCTBIIII_
A TOMbI H30TOITbI [roll II
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ce6H npaHTlItIeCHH o)lIHaHoBbIM 06pa30M aecaorpa na TO ITO lIX
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IIIQMernaTb ua O)HO II TO me MeCTO B nepaonasecxon ClICTeMe (CJIOBO
laquoH30TOnbI) B 6yHBaJIbHOM nepenone C rpesecreoro oaaasaer laquo3aHlIMaIOshy
1U1Ie O)HO II TO me MeCTO)) XlIMlItIeCHlIe 8JIeMeHTbI aa caMOM neshy
JIe HBJIHIOTCH CMeCHMlI 1I30TonOB a HX aTOMHbIe seca onpezrenaeshy
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necax cymecmyror raroxe aTOMbI 06JIa)aIOrnlIe pa3JIHtIHbIMlI CBOHshy
ClBaMlI npa O)lIHaHOBbIX aTOMHbIX necax (1I306apbI CM T II rn XVIII)-
TaH HaH O)HaHO rrepaona-recxaa ClICTeMa 8JIeMeHTOB OHa3aJIaCb
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IIoCHOJIbHY XlIMlIqeCHlIH aTOMHbIH nee B )eHCTBlITeJIbHOCTlI He ecrs
lyrnecTBeHHbIH np1I3HaH amoua OCHOBHOH xapaHTeplICTHHOH 8JIeshy
MeHTa HBJIHeTCH ero nOJIOmeHlIe B neplIO)lItIeCHOH ClICTeMe a 810
nOJIOmeHlIe onpenerraerca HOMepOM MeCTa 3aHlIMaeMoro )aHHbIM
meMeHTOM B Ta6JIlI~e Meaneneena rJIy60HaH npanaaa BamHOCTlI
aroro qlICJIa naaraaaesroro amOMHb~M HOMepOM COCTOlIT B TOM ITO
OHa HBJIHeTCH na caMOM nene He rrpOCTO rropH)HOBbIM HOMepOM
HO O)HOH H3 OCHOBHbIX gJuaU1ieCXUX HOHCTaHT aTOMa HaH 810 6y)eT
nOHa3aHO B )aJIbHellrn8M
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nepHogaMH TeOpeTHqeCRH 60JIee 06ocHoBaHa Ta6JIH~a C gJIHHHMMH
nepaonaxn (Ta6JIH~a II na CTp 52) Paccxorpaa nOCJIegoBaTeJIbHMe pHAM aTOM Ta6JIH~M ITepBMlI
pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
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B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
CTBaMH ITo Mepe nponaaareaaa nnpaao 06a aTH CBOMCTBa aaMeTHO
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mre HaROHe~ geBHTMH aJIeMeHT-ltpTop-ORaaMBaeTCH aarunonou
JIHTHfI OH flBJIHeTCfI THnHqHMM MeTaJIJIOH)JOM H 06JIagaeT peSRO
BLIpamemrnMH RHCJIOTHMMH CBolIcTBaMH IJaJIee cnenyer 6JIaropogshy
BLIH raa HeOH a aa HHM lI(eJIoqHOlI MeTaJIJI HaTpHH (M 11) II BCH
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18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
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I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
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sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
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JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
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Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
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CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
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rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
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rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
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BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
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Z2 - m = IiA2
x (141)
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sect 2 OnpepeJleHUe aapana 9J1eKTpOHa
Onpeneaeaae cpennero aapana raaosoro HOHa 6hIJIO nnepasra npoaaseneao AiR 1lm TOMCOHOM O)]HaHO npaxoo AOH8aSTeJIbCTBO
bull JHCHpeTHOCTH 3JIeHTpHlJeCJiHX aapanoa H nepnsre TOtHhIe onpeneshyJIeHIIH BeJIlllJlIHhI aapana 3JIeHTpOHa nyTeM aaxoasnenaa aapanos OTAeJILHhIX 1JaCTHQ 6hIJIU BhInOJIHeHLI MIIJIJIHKIlHOM B 1911middot r
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3HCnep1lMeHTaJILHhIH MeTOn npllMeHeHHLTit MUJIlIUH3UOM aashykJIlOlJaJICH B nenocpencraeauox H3MepeHIIH aapana 01JeHb~SJIeHLHHX
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a--middot g (23)- y2 (a- p)I2l 2 bull
llpeACTaBUM ce6e rerreps xro na nJIaCTlfHLl xoaneacaropa aashy lt rIOmeHa paaaocrr nOTeHUlfaJIOB BeJIUlIJlHa U aanpasneaae ROTOpoA rloAoopaHLl TaR qTOOLl xanenssra nOA AeAcTBueM 3JIeRTpUqeClRoro nOJIa iIOAHHMaJIa~ ssepx 060llHaqaa sepea vE CROpOCTbsroro nOA1gteMa ROTOpLltt RaR U rraneaae 6YAeT npoacxonarr pasaoshyMepHo MLl MomeM nanacarr
~e-mg = 6ltYjavE (24)
rne ~ - aanpaaseanocrr nOJIa BHyTpH xoaneacaropa lis (22)B ~(24) noaysaea
OOjU (v +v ) e= ~ g E
UJIH aaMeHUB HeAocTynHLlH aenocpencraeaaoay HSMepeBulO panaye aanna aero BLlpameBueM (23) lIepes Vg
1- fCV2 YJ32 e = 9y 2 II I(vg +vE) (25)
~(a-p) 2 g 2
1I0Hu3ya B03AYX MemAY nJIaCTUHaMlf aoaneacaropa (aanpaxep npa nOMO~H pearcenoacaax JIyqei) MomBO UaMeBHTp aapaJli HanaH
xanaa 0Ha 6YAel
14 8JIEHTPOH ErO 3APR~ If MACCA [r-a I
ECJnI npn aTOM BeJIUlJUny nanpaaceaaocra nOJIJl OCTaBllTb npeamcii TO CROpOCTb RanJIH H3MeHHTCJl H craner pannoii VB MhI UMeeM
_ 1 i - 1rv~2y12 e1 - 9 V 2 ~ 11 11 (Va +VB)
(a-p) 2g 2
oM6uuupyJl aTO nsrpazseune C (25) Han~eM
- 1rv~2YJg2 Se = e - e 1= 9V2middot ~ 1 11 (VB - VB) (26)
(a-p) 2g 2
113MeHJlJl lIeCROJIbRO pa3 3apJl~ MOllmO C onnoa H Ton me HanJIeH npOU3BeCTH 60JlbIIIOe lJUCJIO 1I3MepeUlill
sect 3 Ilpaarauecsoe ocymecrnaenae onura MHJIJIHKaHa
T~aTeJIbUO OTIIIIHepoBauHhIe nJIaCTlIUHH xonzreacaropa PI H P2 (puc 1) ynepxraaarorca na onpe~eJIeUHOMpaCCTOJlHIIII TOlJHO napanshyJJeJIbUO npyr ~pyry npa nOMOIIIH H30JIHpYlOIIIell npORJIa~RH JJ
Bopxaaa IIJIaCTHURa PI HMeeT B cepenaae ornepcrae 0 lJepe3 ROshyTopoe BUYTPb xoaneucaropa noshyt nanaror HcnhITyeMhIe RaneJIbRH MaCJIa paCnhIJIJleMOrO upn nOMOIIIH nYJIbBepH3aTopa B ~HJIHU~P C M3BeCTUO lJTO npn paCnhIJIeUHH mH~ROCTell 06pa3ylOIIIlIeCJl RanJIU ueCYT 3JIeRTpHlJeCRHn 3apJl~ TaR lJTO BHYTPb Rou~eucaTopa nona~ashy
PRe 1 Cxeva IWH~eHCaTOpa MUJIshy lOT yme 3apJllleUUhIe RanJIH qepea nmcana OROIIIRO F 1 xansnsxa OCBeIIIaeTCll
06hIlJUO CBeTOM nyr-n na6JIIO~eUHe me Be~eTCJl npn nOMOIIIn MHHpOCRona lJCpe3 OROIIIRO F g bull TaR RaR Ha6JIIO~eHHe npoacxonar B UanpaBJIeHIUI llepneU~IIRYJIJlPEIOM R OCshyBeIIIalOIIIcMy nylJHy CBeTa TO Bbl6paHUaJl xanenrxa B none 3peHHJl MHHpOCHona nanaa HaR aprcaa 3Be3~OlJRa ua TeMHOM epOHe (RaR n yJIbTpaMHRpOCIwnc) ORHO F 2 CJIymHT ~JIJl auxona nyxrea CBCTa TaH HaH nororomaacs CTeHHaMH HaMephI CBeT BhI3BaJI 6hI BHyTpH nee nepanuouepaoe aarpesaaao H nOTORH noanyxa MeIIIalO~He Ha6JIIOshy~ClIHJlM qepc3 TO llW OROIIIRO F 2 BUYTPb HOH~CHcaTopa MoryT 6bITb nponYIIICHbI pCHTrCHOBCIUlC JIylJH C03~aIOIIIHC HOHH3a~HIO nosnyxa B PC3YJIbTaTe HOTOpOll 3apJl~ RanCJIbHH MomCT 6blTb H3MCHeu TIOJIHaJl CXCMa YCTaHOBIH MHJIJIHH3Ua npaneneaa na pHC 2
M3MCpCHHC cxopocrn nanenarr HJIn nO~beMa RanCJIbRII npoaaaoshy~HJIOCb nyTeM onpC~CJIClIHJl npOIgtWllyTKa BpCMCHH uC06xo~lIMoro
~J]Jl npoxozanenaa Mem~y ~BYMll UHTJlMH pacnoJIOllWUUbIMII B eposhyHaJlbUOn WIOCROCTH MI1HpOCROna aa MCpy CHOpOCTII 6paJIa~agt
J
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otiparuaa BeJIHtIHUa 8TOrO npoxezsyraa spexeua B Ta6JlIUIe I npashyBe~eBO HeCROJIhRO peayzn-raroa n3MepeHuH MnJIJIUR=lHa Coshy
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bull bull rh hHOCOCIj
n( s~--~
[~_d~ it11 he 2 Cxexa YCTaHOBRU MUJIJIURllHa a-IICTOtIHIIR CBeTa w d-centIIJIhTpbtmiddot lmJl nororomenaa TeUJIOBhlX JIytIeu PIP2 - ROHJJeHcaTop AD - IlYJIhBe-shypaaarop JJJIH IlOJIytIeHIIH R8IleJIeR M8CJIa G-MaCJIHHaH BaHH8 (TepMocT8T)~
B-6aTapeH m-MaHoMeTp R-peHTreHoBcRaH Tpy6R8
Ta6JIIInaI
PaaHOCTLBpelllll qUCJIO00 aTHLIX06parHoe BpeMeH CARRnOllLeMft BpeMfJ
nOIl1gteManoLeMa n epe-B lIueRshy nOCJIeB onenshynepeaashy aapan-TpDI TpUI noae PllARH
RHnone -1 ---1r1
1B (B cex)
80708 001236
22375 00470
14056 000719
0012579600
34785 002870
n1E IE
(j00323
7003751
0005348 1
3001616
I
OrHOCUTeJIL-Han BeJIUIHshyaa elUHunLl
nepeaashy
1 (rUl)ill I~-IE
0005390
0005358
000538
0005387
CyMMa qUCJIO06paTHLIx
BpelgtleH ena-naleHUIl HUn
II nOllLeMa 1 1 aapana
1--)+1 nU E plusmn nr
009055 18 +6
012887 24 -7
17 +1
009138
009673 18 +3
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1 (aflll~) n ig+iB
0005366
0005371
0005375
0005374
0005376
) Cpenuee t y = 11880 rne tg-BpeMH nanenaa B IlOJIe CHJIbi TFl1lteCTll
16 3JJERTPOH zr-o 3APR)J H MACCA [ra I
IJIaCHO (26) 113MeHeHHe BeJIllqllUhl aapana rrpll nepeaapanne )]OmKlIO
6hlTb nponopnaonansno paaHOCTll crcopocrefi VE - vE ECJIll ara paaaocrr OKameTCH ~eJIhlM RpaTHhlM O)]HOH II TOH me nenasansr TO
MomHO yTBepm)]aTb ITO llaMeHeHlIe aapana npOllCXO)]l1T He uenpeshyPhlBHO a ROHeqHhlM11 rrop~llHMII lJeTBepThlH 11 rrHThlH CTOJI6~hl
Ta6JIll~hl rroaaasraaror ITO 8TO llMeeT MeCTO aa caMOM neae C TOIshy
HOCTblO)]O HeCIWJIbRllX eAl1H11~ B rrHTOM aaaxe aapH)] llaMeHHeTCH
ua 6 7 1 e)]l1Hll~ rrpllqeM caua enaamra nepeaapanna (UHThlH CTOJI6e~ Ta6JIll~hl) llMeeT nOCTaTOqHO nocroarr aoe aaaxeaae
ltDopMyJIa (25) rroxaausaer ITO a6COJIIOTHaH Be1JllqllHa aapana RarrJIII )]OmIltHa 6hlTb rrporropnaoaansna CYMMe Vg + VE (IlleCTOH
cToJI6e~ Ta6JIll~hl)
ECJIll 8Tll CYMMhl oxaxryrca HPaTHhlMll O)]HOn II TOM me BeJIHshy
qIlHe TO 8TO oanauaer ITO aapan crcnansmaerca 11a nacnpernsrx enaann Ce)]bMOn 11 BOCbMon CTOJI6~hl noaaasmaior ITO 11 8TO
llMeeT MeCTO B )]enCTBHTeJIbHOCTll HaROHe~ llacpaBHeHllH rrHToro
II socsuoro CTOJJ6IWB Bll)]HO ITO enaaana nepeaapanrca H e)]IIHH~a aapana Mem)]y co6oii COBrra)]aIOT onars-raxa C TOqHOCTblO )]0 Heshy
CIWJIbH11X e)]HHH~ B I1I1TOM aaaae TaRHM 06paaOM ananaa Ta6JlHQhl
)~aeT rrOJIIIOe 11 nenocpencraenaoe )]ORaaaTeJIbCTBO nncxperuoii rrpHpO)]hl 8JIeRTpHqeCKOrO aapsna - aTOMllCTllRH 8JIeRTpHqeCRHX
RBJIeHHM
)JJIH ToqHOrO OIlpe)]8JIeHllH a6COJIIOTHOM BeJIllqllHhl aapana 8JJeRTpOHa B qHCJla nonynennrae npll I10MO~H ltlOpMyJIhl (2[)) H806xo)]HMO BHeCTll cy~ecTBeHHYIO nonpaBRY B caMOM fteJIe
ORaaaJIOCb ITO ecna onpe)]eJIHTb aapan KaneJIeR paaJIllltJHoro
panayca TO npa yxeusnrenaa I10CJIe)]HerO snasane rrOJIyqalOTCH
llOCTOHHHhle aaassaaa e HO )]JIH OltJeHb MaJIeHbRHX RalleJIeK e 6hlCTpO noapacraer C YMeHbIlIeHlleM panayca TaRllM 06paaOM
BhlXO)]HT ITO aapH)] 8JIeRTpOHa He HMeeT llOCTOHHHoro aaaseaaa a MomeT aanacerr OT paaxepos xarrensxa
MHJIJIlm8H 06bHCHHJI 8TOT HBHO aecoofip aansni peayJIbTaT TeM
ITO aaROH CTORca HeJIb3H npHMeHHTb R )]BllmeHlllO OltJeUb MaJIeHbshy
RHX RarreJIeR )JenCTBHTeJIbHO aaHOH CTORca BhlBO)]HTCH B rrpe)]
llOJIOmeHHH ITO )]BHmy~eecH TeJIO HMeeT ltlopMy nrapa H ITO
cpena B KOTOpOH rrpOHCXO)]HT )]BHmeHHe - aerrpepsmaa Ilocnonshyuoe upemroaoaeenae aaaenoxro He onpasmasaerca xorna npa
l~BHmeHHH B raae paaxepsr RaneJIbRH CTaHOBHTcH cpaBHHMhlMH
CO Cpe)]HeH )]JIlIHOH CBo6o)]HOrO nYTH raaonsrx MOJIeRyJI TaRHM o6pashy
u 6aOM OTHOIlleHHe Ii cpenaea )]JIHHhI CBO O)]HOrO I1yTH R panaycy
xanna MomeT CJIymHTb xparepnen npllMeBHMOCTII HJIH HenplIMe-
BllMOCTll aaxoua CTORca eCJIll 8TO oruornenae MaJIO ( ~ 1) TO aaROH CTORca upaxenarr MOiKBO B npOTllBOnOJIOmHOM CJIyqaeshy
aaROH CTORca HerrpllMeHHM
I a] nPAHTMQECHOE OCymECTBJIEHI1E OnbITA MI1JIJIHH8HA 17
IJJISI roro lJTo6hI YlJecTJ orcrynzreaaa OT 3aHOHa Croxca PJISI
OlJeHIgt MaJIeHIgtRHX xanenex 6LIJIO upennoateao nOJIIgt30BaTIgtCSI BMeCTO (21) CJIepyIOIllHM HCnpaBJIeUHLIM BLIpaiKeHHeM PJISI CTOHCOshy
BOH CHJILI 6ljaV gF _ (31)-
1+ A-a
me A - aexoropaa nOCTOSlHHaSl RaR BHPUO aTO BLIpaiKeHHe
nocrpoeao TaH lJTO npH A- -+0 OHO nepexonar B fJOpMyJIya Croxca (21) IIpH nosroma aroii HCnpaBJIeHUOM fJ0PMYJILI MLI nOJIyshylJaeM AJISI a6COJIIOTHOH BeJIHlJHlihI aapana BMeCTO (25) cnerryiontee BLIpaiKeHHe
9 V2middott Ij 312VI2
(VE+Vg )- ge- (a - p)I2l l2 ~(1+A~Y2 (32)
llTo6LI HaHTH a6COJIIOTHyIO BeJIHlJHHY aapana no aTOM fJopMyJIe aano 3UaTIgt nocToHHHyIO A Onaarco MHJIJIHHaU noxaaan RaHHM ofipaacxr MO~HUO uaMTH HCTHHHyIO BeJIHlJHllY aapana He npafieran R onpeAeJIeHHIO )TOM nocronaaofi
113 conOCTaBJIeUUSl fJOpMyJl (25) H (31) JIerRO HaHTH oraomeshyHHe BeJIHlJHHLI eo R aapSlAY BLIlJHCJIeHUOMY 6ea nonpanna
1
eeo_
- (1+ A ~Y2 HnH
e~3 ( 1+ A ~ ) = e23bull
Ho nnaaa caotiozraor-o npo6era A o6paTHO nponopnaonansaa naBneIIlIIO raaa p n03ToMY
e~3 (1 + a) = e23 (33)
IAe B - uexoropaa HOBaSl nOCTOHHuaSl ECJIH HaMeUSlTIgt naanenae p H AnSI Ramporo auaseaaa nanneshy
HHH BLIlJHCnHTIgt RamYIllYIOcSI nenaxany aapana e (6ea nonpaaxa eZ13TO COrJlaCHO fJopMyne (33) MeiKAY H 1 pa poniKUa HMeTIgt
MeCTO nnueMuaSl aaBHCHMOCTIgt Hpn aTOM TaR HaR lJneu Blpa B fJopMyne (33) arpaer ponlgt
ManoM nonpanrca TO B HalJeCTBe panayca xannn a MOiKHO B3HTIgt BenHlJnHY BLIlJHCJlHeMYIO no ueacnpaanenaoii fJopMyJIe CTOHca CM fJ0PMYJlY (23)] B caMOM AeJIe HOHCTaUTa B cor-nacuo HaMeshypeUHHM MHJlJIHHlHa panaa
~B = 0000617 l
2 a B mnOJlbctt T I ~ r ~ i ~i~
ilild~ll bull 11l ~------
8
18 3JIEHTPOH sr-o 3APHD n MACCA [r-a I
eCJIn p naMepeHO B CUHTnMeTpax pTyTHoro cToJI6a n a-B caHTn-MeTpax
Pnc 3 rne oca opnnaar
7
JoD
sect I
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~
V
aa OCM aficnacc OTJIOmeHIlI aHaIeHlIH 1fppoundl a aa e2
a bull 108 uoreaaraaaer ITO rpefiyeuan qgtopMyshyJIOM (33) JIMHeiiHaH aashyBnCIlMOCTb cyurecrnyer B geMcTBnTeJIbHOcTM IToshynaraa B qgtopMyJIe (33) 1fp =0 MJIM a = co T e nepexona R npenensuoshyMy CJIylfaIO xorna aaROH CTORca gOJlmeH 6IlITb cnpaaertnaa (paguyc sashyCTM~bI 6eCROHetIHO BeJIMR no cpasnenmo CO cpenshyHeii gJInHOM cBo6ogHorO
zoo f 300 liDO pOD nYTH) HaiigeM e2a = e~a pa arnr e =eo TaRHM o6pashy
Pac 3 aOM gJIH aaxoamenaa nCTMHHoro aHaIeHHH aashy
pana BJIeRTpOHa eo gocTaTOtIHO BRCTpanOJIIlpOBaTb npHMYIO go nepe-CeleHMH ee C OCbIO opnanar
Ha middotpMC 4 npaaenema tIeTbIpe cnocorioa PJIH tIaCTII~ paaJIMtIHOII B noanyxe I I - xansns-Rn MaCJIa B sozropone I I 1- RaneJIbRM pTyTM B sosztyxe IV -TIaCTn~1iI
lIIeJIJIaRa B soanyxe Bee IeTbIpe npmnre nepeceshyRaI9T OCb opnauar B 00- ~
HOH TOIRe aapHo BJIeR- ~70
TpOHa He aaBMCMT HM OT npaponsr tIaCTM~ HH OT IIPMPOgliI raaa oRpymashyiomero IaCTMI(bI
OnbITbI MHJIJIMRBHa HMeIOT 60JIblIIOe npIIH~Mshynaansuoe anaseaae TaR RaR OHM C nOJIHoii OIeshyBlIgHOCTbIO pORaaIiIBaIOT aTOMIICTMIeCHYIO npnposhy
npmnae nocrpoeaaue TaRIIM me
npapojrsr I - RaneJIbRM MaCJIa
500100ZOO I 300100
75f----+---+7shy
80--------
po Pac 4
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sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
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PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
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posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
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laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
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a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
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mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
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fJIABA 11
ATOMbI H30TOIlbI
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3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
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sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
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aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
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nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
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nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
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B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
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nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
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necax cymecmyror raroxe aTOMbI 06JIa)aIOrnlIe pa3JIHtIHbIMlI CBOHshy
ClBaMlI npa O)lIHaHOBbIX aTOMHbIX necax (1I306apbI CM T II rn XVIII)-
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lyrnecTBeHHbIH np1I3HaH amoua OCHOBHOH xapaHTeplICTHHOH 8JIeshy
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nOJIOmeHlIe onpenerraerca HOMepOM MeCTa 3aHlIMaeMoro )aHHbIM
meMeHTOM B Ta6JIlI~e Meaneneena rJIy60HaH npanaaa BamHOCTlI
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BLIH raa HeOH a aa HHM lI(eJIoqHOlI MeTaJIJI HaTpHH (M 11) II BCH
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18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
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I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
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sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
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x (141)
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llOJIOmeHHH ITO )]BHmy~eecH TeJIO HMeeT ltlopMy nrapa H ITO
cpena B KOTOpOH rrpOHCXO)]HT )]BHmeHHe - aerrpepsmaa Ilocnonshyuoe upemroaoaeenae aaaenoxro He onpasmasaerca xorna npa
l~BHmeHHH B raae paaxepsr RaneJIbRH CTaHOBHTcH cpaBHHMhlMH
CO Cpe)]HeH )]JIlIHOH CBo6o)]HOrO nYTH raaonsrx MOJIeRyJI TaRHM o6pashy
u 6aOM OTHOIlleHHe Ii cpenaea )]JIHHhI CBO O)]HOrO I1yTH R panaycy
xanna MomeT CJIymHTb xparepnen npllMeBHMOCTII HJIH HenplIMe-
BllMOCTll aaxoua CTORca eCJIll 8TO oruornenae MaJIO ( ~ 1) TO aaROH CTORca upaxenarr MOiKBO B npOTllBOnOJIOmHOM CJIyqaeshy
aaROH CTORca HerrpllMeHHM
I a] nPAHTMQECHOE OCymECTBJIEHI1E OnbITA MI1JIJIHH8HA 17
IJJISI roro lJTo6hI YlJecTJ orcrynzreaaa OT 3aHOHa Croxca PJISI
OlJeHIgt MaJIeHIgtRHX xanenex 6LIJIO upennoateao nOJIIgt30BaTIgtCSI BMeCTO (21) CJIepyIOIllHM HCnpaBJIeUHLIM BLIpaiKeHHeM PJISI CTOHCOshy
BOH CHJILI 6ljaV gF _ (31)-
1+ A-a
me A - aexoropaa nOCTOSlHHaSl RaR BHPUO aTO BLIpaiKeHHe
nocrpoeao TaH lJTO npH A- -+0 OHO nepexonar B fJOpMyJIya Croxca (21) IIpH nosroma aroii HCnpaBJIeHUOM fJ0PMYJILI MLI nOJIyshylJaeM AJISI a6COJIIOTHOH BeJIHlJHlihI aapana BMeCTO (25) cnerryiontee BLIpaiKeHHe
9 V2middott Ij 312VI2
(VE+Vg )- ge- (a - p)I2l l2 ~(1+A~Y2 (32)
llTo6LI HaHTH a6COJIIOTHyIO BeJIHlJHHY aapana no aTOM fJopMyJIe aano 3UaTIgt nocToHHHyIO A Onaarco MHJIJIHHaU noxaaan RaHHM ofipaacxr MO~HUO uaMTH HCTHHHyIO BeJIHlJHllY aapana He npafieran R onpeAeJIeHHIO )TOM nocronaaofi
113 conOCTaBJIeUUSl fJOpMyJl (25) H (31) JIerRO HaHTH oraomeshyHHe BeJIHlJHHLI eo R aapSlAY BLIlJHCJIeHUOMY 6ea nonpanna
1
eeo_
- (1+ A ~Y2 HnH
e~3 ( 1+ A ~ ) = e23bull
Ho nnaaa caotiozraor-o npo6era A o6paTHO nponopnaonansaa naBneIIlIIO raaa p n03ToMY
e~3 (1 + a) = e23 (33)
IAe B - uexoropaa HOBaSl nOCTOHHuaSl ECJIH HaMeUSlTIgt naanenae p H AnSI Ramporo auaseaaa nanneshy
HHH BLIlJHCnHTIgt RamYIllYIOcSI nenaxany aapana e (6ea nonpaaxa eZ13TO COrJlaCHO fJopMyne (33) MeiKAY H 1 pa poniKUa HMeTIgt
MeCTO nnueMuaSl aaBHCHMOCTIgt Hpn aTOM TaR HaR lJneu Blpa B fJopMyne (33) arpaer ponlgt
ManoM nonpanrca TO B HalJeCTBe panayca xannn a MOiKHO B3HTIgt BenHlJnHY BLIlJHCJlHeMYIO no ueacnpaanenaoii fJopMyJIe CTOHca CM fJ0PMYJlY (23)] B caMOM AeJIe HOHCTaUTa B cor-nacuo HaMeshypeUHHM MHJlJIHHlHa panaa
~B = 0000617 l
2 a B mnOJlbctt T I ~ r ~ i ~i~
ilild~ll bull 11l ~------
8
18 3JIEHTPOH sr-o 3APHD n MACCA [r-a I
eCJIn p naMepeHO B CUHTnMeTpax pTyTHoro cToJI6a n a-B caHTn-MeTpax
Pnc 3 rne oca opnnaar
7
JoD
sect I
~
~e
~
V
aa OCM aficnacc OTJIOmeHIlI aHaIeHlIH 1fppoundl a aa e2
a bull 108 uoreaaraaaer ITO rpefiyeuan qgtopMyshyJIOM (33) JIMHeiiHaH aashyBnCIlMOCTb cyurecrnyer B geMcTBnTeJIbHOcTM IToshynaraa B qgtopMyJIe (33) 1fp =0 MJIM a = co T e nepexona R npenensuoshyMy CJIylfaIO xorna aaROH CTORca gOJlmeH 6IlITb cnpaaertnaa (paguyc sashyCTM~bI 6eCROHetIHO BeJIMR no cpasnenmo CO cpenshyHeii gJInHOM cBo6ogHorO
zoo f 300 liDO pOD nYTH) HaiigeM e2a = e~a pa arnr e =eo TaRHM o6pashy
Pac 3 aOM gJIH aaxoamenaa nCTMHHoro aHaIeHHH aashy
pana BJIeRTpOHa eo gocTaTOtIHO BRCTpanOJIIlpOBaTb npHMYIO go nepe-CeleHMH ee C OCbIO opnanar
Ha middotpMC 4 npaaenema tIeTbIpe cnocorioa PJIH tIaCTII~ paaJIMtIHOII B noanyxe I I - xansns-Rn MaCJIa B sozropone I I 1- RaneJIbRM pTyTM B sosztyxe IV -TIaCTn~1iI
lIIeJIJIaRa B soanyxe Bee IeTbIpe npmnre nepeceshyRaI9T OCb opnauar B 00- ~
HOH TOIRe aapHo BJIeR- ~70
TpOHa He aaBMCMT HM OT npaponsr tIaCTM~ HH OT IIPMPOgliI raaa oRpymashyiomero IaCTMI(bI
OnbITbI MHJIJIMRBHa HMeIOT 60JIblIIOe npIIH~Mshynaansuoe anaseaae TaR RaR OHM C nOJIHoii OIeshyBlIgHOCTbIO pORaaIiIBaIOT aTOMIICTMIeCHYIO npnposhy
npmnae nocrpoeaaue TaRIIM me
npapojrsr I - RaneJIbRM MaCJIa
500100ZOO I 300100
75f----+---+7shy
80--------
po Pac 4
~y BJIeRTpllleCROrO aapana IIo aenasaero BpeMeHM raxace H a6COJIIOTHOe aaaaenae aapHg8~J BJIeRTpOHa e = 4770 10-10 CGSE nOJJyIeHHOe 11M CIlITaJIOCb Ha1l60JIee t TOIHbIM COBepmeHHO Heshyomnp8HHO onaaxo BbIHCHMJIOCb ITO ltlTO ananeane copepmllT cncrashy
sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
-8
$
C
-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
Ilepnaa Ta6JIIIlla 6hIJIa ony6JIlIROBaHa MeH)IeJIeeBhIM B 1869 r
R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
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44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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22605223 22705 X~Q
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39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
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5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
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PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
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113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
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peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
14 8JIEHTPOH ErO 3APR~ If MACCA [r-a I
ECJnI npn aTOM BeJIUlJUny nanpaaceaaocra nOJIJl OCTaBllTb npeamcii TO CROpOCTb RanJIH H3MeHHTCJl H craner pannoii VB MhI UMeeM
_ 1 i - 1rv~2y12 e1 - 9 V 2 ~ 11 11 (Va +VB)
(a-p) 2g 2
oM6uuupyJl aTO nsrpazseune C (25) Han~eM
- 1rv~2YJg2 Se = e - e 1= 9V2middot ~ 1 11 (VB - VB) (26)
(a-p) 2g 2
113MeHJlJl lIeCROJIbRO pa3 3apJl~ MOllmO C onnoa H Ton me HanJIeH npOU3BeCTH 60JlbIIIOe lJUCJIO 1I3MepeUlill
sect 3 Ilpaarauecsoe ocymecrnaenae onura MHJIJIHKaHa
T~aTeJIbUO OTIIIIHepoBauHhIe nJIaCTlIUHH xonzreacaropa PI H P2 (puc 1) ynepxraaarorca na onpe~eJIeUHOMpaCCTOJlHIIII TOlJHO napanshyJJeJIbUO npyr ~pyry npa nOMOIIIH H30JIHpYlOIIIell npORJIa~RH JJ
Bopxaaa IIJIaCTHURa PI HMeeT B cepenaae ornepcrae 0 lJepe3 ROshyTopoe BUYTPb xoaneucaropa noshyt nanaror HcnhITyeMhIe RaneJIbRH MaCJIa paCnhIJIJleMOrO upn nOMOIIIH nYJIbBepH3aTopa B ~HJIHU~P C M3BeCTUO lJTO npn paCnhIJIeUHH mH~ROCTell 06pa3ylOIIIlIeCJl RanJIU ueCYT 3JIeRTpHlJeCRHn 3apJl~ TaR lJTO BHYTPb Rou~eucaTopa nona~ashy
PRe 1 Cxeva IWH~eHCaTOpa MUJIshy lOT yme 3apJllleUUhIe RanJIH qepea nmcana OROIIIRO F 1 xansnsxa OCBeIIIaeTCll
06hIlJUO CBeTOM nyr-n na6JIIO~eUHe me Be~eTCJl npn nOMOIIIn MHHpOCRona lJCpe3 OROIIIRO F g bull TaR RaR Ha6JIIO~eHHe npoacxonar B UanpaBJIeHIUI llepneU~IIRYJIJlPEIOM R OCshyBeIIIalOIIIcMy nylJHy CBeTa TO Bbl6paHUaJl xanenrxa B none 3peHHJl MHHpOCHona nanaa HaR aprcaa 3Be3~OlJRa ua TeMHOM epOHe (RaR n yJIbTpaMHRpOCIwnc) ORHO F 2 CJIymHT ~JIJl auxona nyxrea CBCTa TaH HaH nororomaacs CTeHHaMH HaMephI CBeT BhI3BaJI 6hI BHyTpH nee nepanuouepaoe aarpesaaao H nOTORH noanyxa MeIIIalO~He Ha6JIIOshy~ClIHJlM qepc3 TO llW OROIIIRO F 2 BUYTPb HOH~CHcaTopa MoryT 6bITb nponYIIICHbI pCHTrCHOBCIUlC JIylJH C03~aIOIIIHC HOHH3a~HIO nosnyxa B PC3YJIbTaTe HOTOpOll 3apJl~ RanCJIbHH MomCT 6blTb H3MCHeu TIOJIHaJl CXCMa YCTaHOBIH MHJIJIHH3Ua npaneneaa na pHC 2
M3MCpCHHC cxopocrn nanenarr HJIn nO~beMa RanCJIbRII npoaaaoshy~HJIOCb nyTeM onpC~CJIClIHJl npOIgtWllyTKa BpCMCHH uC06xo~lIMoro
~J]Jl npoxozanenaa Mem~y ~BYMll UHTJlMH pacnoJIOllWUUbIMII B eposhyHaJlbUOn WIOCROCTH MI1HpOCROna aa MCpy CHOpOCTII 6paJIa~agt
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otiparuaa BeJIHtIHUa 8TOrO npoxezsyraa spexeua B Ta6JlIUIe I npashyBe~eBO HeCROJIhRO peayzn-raroa n3MepeHuH MnJIJIUR=lHa Coshy
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bull bull rh hHOCOCIj
n( s~--~
[~_d~ it11 he 2 Cxexa YCTaHOBRU MUJIJIURllHa a-IICTOtIHIIR CBeTa w d-centIIJIhTpbtmiddot lmJl nororomenaa TeUJIOBhlX JIytIeu PIP2 - ROHJJeHcaTop AD - IlYJIhBe-shypaaarop JJJIH IlOJIytIeHIIH R8IleJIeR M8CJIa G-MaCJIHHaH BaHH8 (TepMocT8T)~
B-6aTapeH m-MaHoMeTp R-peHTreHoBcRaH Tpy6R8
Ta6JIIInaI
PaaHOCTLBpelllll qUCJIO00 aTHLIX06parHoe BpeMeH CARRnOllLeMft BpeMfJ
nOIl1gteManoLeMa n epe-B lIueRshy nOCJIeB onenshynepeaashy aapan-TpDI TpUI noae PllARH
RHnone -1 ---1r1
1B (B cex)
80708 001236
22375 00470
14056 000719
0012579600
34785 002870
n1E IE
(j00323
7003751
0005348 1
3001616
I
OrHOCUTeJIL-Han BeJIUIHshyaa elUHunLl
nepeaashy
1 (rUl)ill I~-IE
0005390
0005358
000538
0005387
CyMMa qUCJIO06paTHLIx
BpelgtleH ena-naleHUIl HUn
II nOllLeMa 1 1 aapana
1--)+1 nU E plusmn nr
009055 18 +6
012887 24 -7
17 +1
009138
009673 18 +3
011289 21
OTHOCUTenshyHall BenaIDshyaa ellHHHnwshy
1 (aflll~) n ig+iB
0005366
0005371
0005375
0005374
0005376
) Cpenuee t y = 11880 rne tg-BpeMH nanenaa B IlOJIe CHJIbi TFl1lteCTll
16 3JJERTPOH zr-o 3APR)J H MACCA [ra I
IJIaCHO (26) 113MeHeHHe BeJIllqllUhl aapana rrpll nepeaapanne )]OmKlIO
6hlTb nponopnaonansno paaHOCTll crcopocrefi VE - vE ECJIll ara paaaocrr OKameTCH ~eJIhlM RpaTHhlM O)]HOH II TOH me nenasansr TO
MomHO yTBepm)]aTb ITO llaMeHeHlIe aapana npOllCXO)]l1T He uenpeshyPhlBHO a ROHeqHhlM11 rrop~llHMII lJeTBepThlH 11 rrHThlH CTOJI6~hl
Ta6JIll~hl rroaaasraaror ITO 8TO llMeeT MeCTO aa caMOM neae C TOIshy
HOCTblO)]O HeCIWJIbRllX eAl1H11~ B rrHTOM aaaxe aapH)] llaMeHHeTCH
ua 6 7 1 e)]l1Hll~ rrpllqeM caua enaamra nepeaapanna (UHThlH CTOJI6e~ Ta6JIll~hl) llMeeT nOCTaTOqHO nocroarr aoe aaaxeaae
ltDopMyJIa (25) rroxaausaer ITO a6COJIIOTHaH Be1JllqllHa aapana RarrJIII )]OmIltHa 6hlTb rrporropnaoaansna CYMMe Vg + VE (IlleCTOH
cToJI6e~ Ta6JIll~hl)
ECJIll 8Tll CYMMhl oxaxryrca HPaTHhlMll O)]HOn II TOM me BeJIHshy
qIlHe TO 8TO oanauaer ITO aapan crcnansmaerca 11a nacnpernsrx enaann Ce)]bMOn 11 BOCbMon CTOJI6~hl noaaasmaior ITO 11 8TO
llMeeT MeCTO B )]enCTBHTeJIbHOCTll HaROHe~ llacpaBHeHllH rrHToro
II socsuoro CTOJJ6IWB Bll)]HO ITO enaaana nepeaapanrca H e)]IIHH~a aapana Mem)]y co6oii COBrra)]aIOT onars-raxa C TOqHOCTblO )]0 Heshy
CIWJIbH11X e)]HHH~ B I1I1TOM aaaae TaRHM 06paaOM ananaa Ta6JlHQhl
)~aeT rrOJIIIOe 11 nenocpencraenaoe )]ORaaaTeJIbCTBO nncxperuoii rrpHpO)]hl 8JIeRTpHqeCKOrO aapsna - aTOMllCTllRH 8JIeRTpHqeCRHX
RBJIeHHM
)JJIH ToqHOrO OIlpe)]8JIeHllH a6COJIIOTHOM BeJIllqllHhl aapana 8JJeRTpOHa B qHCJla nonynennrae npll I10MO~H ltlOpMyJIhl (2[)) H806xo)]HMO BHeCTll cy~ecTBeHHYIO nonpaBRY B caMOM fteJIe
ORaaaJIOCb ITO ecna onpe)]eJIHTb aapan KaneJIeR paaJIllltJHoro
panayca TO npa yxeusnrenaa I10CJIe)]HerO snasane rrOJIyqalOTCH
llOCTOHHHhle aaassaaa e HO )]JIH OltJeHb MaJIeHbRHX RalleJIeK e 6hlCTpO noapacraer C YMeHbIlIeHlleM panayca TaRllM 06paaOM
BhlXO)]HT ITO aapH)] 8JIeRTpOHa He HMeeT llOCTOHHHoro aaaseaaa a MomeT aanacerr OT paaxepos xarrensxa
MHJIJIlm8H 06bHCHHJI 8TOT HBHO aecoofip aansni peayJIbTaT TeM
ITO aaROH CTORca HeJIb3H npHMeHHTb R )]BllmeHlllO OltJeUb MaJIeHbshy
RHX RarreJIeR )JenCTBHTeJIbHO aaHOH CTORca BhlBO)]HTCH B rrpe)]
llOJIOmeHHH ITO )]BHmy~eecH TeJIO HMeeT ltlopMy nrapa H ITO
cpena B KOTOpOH rrpOHCXO)]HT )]BHmeHHe - aerrpepsmaa Ilocnonshyuoe upemroaoaeenae aaaenoxro He onpasmasaerca xorna npa
l~BHmeHHH B raae paaxepsr RaneJIbRH CTaHOBHTcH cpaBHHMhlMH
CO Cpe)]HeH )]JIlIHOH CBo6o)]HOrO nYTH raaonsrx MOJIeRyJI TaRHM o6pashy
u 6aOM OTHOIlleHHe Ii cpenaea )]JIHHhI CBO O)]HOrO I1yTH R panaycy
xanna MomeT CJIymHTb xparepnen npllMeBHMOCTII HJIH HenplIMe-
BllMOCTll aaxoua CTORca eCJIll 8TO oruornenae MaJIO ( ~ 1) TO aaROH CTORca upaxenarr MOiKBO B npOTllBOnOJIOmHOM CJIyqaeshy
aaROH CTORca HerrpllMeHHM
I a] nPAHTMQECHOE OCymECTBJIEHI1E OnbITA MI1JIJIHH8HA 17
IJJISI roro lJTo6hI YlJecTJ orcrynzreaaa OT 3aHOHa Croxca PJISI
OlJeHIgt MaJIeHIgtRHX xanenex 6LIJIO upennoateao nOJIIgt30BaTIgtCSI BMeCTO (21) CJIepyIOIllHM HCnpaBJIeUHLIM BLIpaiKeHHeM PJISI CTOHCOshy
BOH CHJILI 6ljaV gF _ (31)-
1+ A-a
me A - aexoropaa nOCTOSlHHaSl RaR BHPUO aTO BLIpaiKeHHe
nocrpoeao TaH lJTO npH A- -+0 OHO nepexonar B fJOpMyJIya Croxca (21) IIpH nosroma aroii HCnpaBJIeHUOM fJ0PMYJILI MLI nOJIyshylJaeM AJISI a6COJIIOTHOH BeJIHlJHlihI aapana BMeCTO (25) cnerryiontee BLIpaiKeHHe
9 V2middott Ij 312VI2
(VE+Vg )- ge- (a - p)I2l l2 ~(1+A~Y2 (32)
llTo6LI HaHTH a6COJIIOTHyIO BeJIHlJHHY aapana no aTOM fJopMyJIe aano 3UaTIgt nocToHHHyIO A Onaarco MHJIJIHHaU noxaaan RaHHM ofipaacxr MO~HUO uaMTH HCTHHHyIO BeJIHlJHllY aapana He npafieran R onpeAeJIeHHIO )TOM nocronaaofi
113 conOCTaBJIeUUSl fJOpMyJl (25) H (31) JIerRO HaHTH oraomeshyHHe BeJIHlJHHLI eo R aapSlAY BLIlJHCJIeHUOMY 6ea nonpanna
1
eeo_
- (1+ A ~Y2 HnH
e~3 ( 1+ A ~ ) = e23bull
Ho nnaaa caotiozraor-o npo6era A o6paTHO nponopnaonansaa naBneIIlIIO raaa p n03ToMY
e~3 (1 + a) = e23 (33)
IAe B - uexoropaa HOBaSl nOCTOHHuaSl ECJIH HaMeUSlTIgt naanenae p H AnSI Ramporo auaseaaa nanneshy
HHH BLIlJHCnHTIgt RamYIllYIOcSI nenaxany aapana e (6ea nonpaaxa eZ13TO COrJlaCHO fJopMyne (33) MeiKAY H 1 pa poniKUa HMeTIgt
MeCTO nnueMuaSl aaBHCHMOCTIgt Hpn aTOM TaR HaR lJneu Blpa B fJopMyne (33) arpaer ponlgt
ManoM nonpanrca TO B HalJeCTBe panayca xannn a MOiKHO B3HTIgt BenHlJnHY BLIlJHCJlHeMYIO no ueacnpaanenaoii fJopMyJIe CTOHca CM fJ0PMYJlY (23)] B caMOM AeJIe HOHCTaUTa B cor-nacuo HaMeshypeUHHM MHJlJIHHlHa panaa
~B = 0000617 l
2 a B mnOJlbctt T I ~ r ~ i ~i~
ilild~ll bull 11l ~------
8
18 3JIEHTPOH sr-o 3APHD n MACCA [r-a I
eCJIn p naMepeHO B CUHTnMeTpax pTyTHoro cToJI6a n a-B caHTn-MeTpax
Pnc 3 rne oca opnnaar
7
JoD
sect I
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V
aa OCM aficnacc OTJIOmeHIlI aHaIeHlIH 1fppoundl a aa e2
a bull 108 uoreaaraaaer ITO rpefiyeuan qgtopMyshyJIOM (33) JIMHeiiHaH aashyBnCIlMOCTb cyurecrnyer B geMcTBnTeJIbHOcTM IToshynaraa B qgtopMyJIe (33) 1fp =0 MJIM a = co T e nepexona R npenensuoshyMy CJIylfaIO xorna aaROH CTORca gOJlmeH 6IlITb cnpaaertnaa (paguyc sashyCTM~bI 6eCROHetIHO BeJIMR no cpasnenmo CO cpenshyHeii gJInHOM cBo6ogHorO
zoo f 300 liDO pOD nYTH) HaiigeM e2a = e~a pa arnr e =eo TaRHM o6pashy
Pac 3 aOM gJIH aaxoamenaa nCTMHHoro aHaIeHHH aashy
pana BJIeRTpOHa eo gocTaTOtIHO BRCTpanOJIIlpOBaTb npHMYIO go nepe-CeleHMH ee C OCbIO opnanar
Ha middotpMC 4 npaaenema tIeTbIpe cnocorioa PJIH tIaCTII~ paaJIMtIHOII B noanyxe I I - xansns-Rn MaCJIa B sozropone I I 1- RaneJIbRM pTyTM B sosztyxe IV -TIaCTn~1iI
lIIeJIJIaRa B soanyxe Bee IeTbIpe npmnre nepeceshyRaI9T OCb opnauar B 00- ~
HOH TOIRe aapHo BJIeR- ~70
TpOHa He aaBMCMT HM OT npaponsr tIaCTM~ HH OT IIPMPOgliI raaa oRpymashyiomero IaCTMI(bI
OnbITbI MHJIJIMRBHa HMeIOT 60JIblIIOe npIIH~Mshynaansuoe anaseaae TaR RaR OHM C nOJIHoii OIeshyBlIgHOCTbIO pORaaIiIBaIOT aTOMIICTMIeCHYIO npnposhy
npmnae nocrpoeaaue TaRIIM me
npapojrsr I - RaneJIbRM MaCJIa
500100ZOO I 300100
75f----+---+7shy
80--------
po Pac 4
~y BJIeRTpllleCROrO aapana IIo aenasaero BpeMeHM raxace H a6COJIIOTHOe aaaaenae aapHg8~J BJIeRTpOHa e = 4770 10-10 CGSE nOJJyIeHHOe 11M CIlITaJIOCb Ha1l60JIee t TOIHbIM COBepmeHHO Heshyomnp8HHO onaaxo BbIHCHMJIOCb ITO ltlTO ananeane copepmllT cncrashy
sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
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PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
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posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
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laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
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v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
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npOXOII1T lJepea HyJIb (pIIC
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MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
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a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
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mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
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fJIABA 11
ATOMbI H30TOIlbI
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3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
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sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
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aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
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nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
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nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
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B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
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nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
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necax cymecmyror raroxe aTOMbI 06JIa)aIOrnlIe pa3JIHtIHbIMlI CBOHshy
ClBaMlI npa O)lIHaHOBbIX aTOMHbIX necax (1I306apbI CM T II rn XVIII)-
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lyrnecTBeHHbIH np1I3HaH amoua OCHOBHOH xapaHTeplICTHHOH 8JIeshy
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nOJIOmeHlIe onpenerraerca HOMepOM MeCTa 3aHlIMaeMoro )aHHbIM
meMeHTOM B Ta6JIlI~e Meaneneena rJIy60HaH npanaaa BamHOCTlI
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18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
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3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
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po Pac 4
~y BJIeRTpllleCROrO aapana IIo aenasaero BpeMeHM raxace H a6COJIIOTHOe aaaaenae aapHg8~J BJIeRTpOHa e = 4770 10-10 CGSE nOJJyIeHHOe 11M CIlITaJIOCb Ha1l60JIee t TOIHbIM COBepmeHHO Heshyomnp8HHO onaaxo BbIHCHMJIOCb ITO ltlTO ananeane copepmllT cncrashy
sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
-8
$
C
-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
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R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
nOplI)IOR CJIe)lOBaHJllI Hepenxo 3TJI Jl3MeHeHII1I 6hIJIJI necsua cymeshy
CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
14013) aTOMHhIe neca ropaa JI ypaHa no )IaHHhIM roro BpeMeHJI
6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
MeCTa pOJDRHhI 6hITb 3aHHThI eme He OTRPhIThIMJI 3JIeMeUTaMJI
B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
pue OH Ha3BaJI 3Ha60pOM 3RaaJIIOMJlHJleM JI 3RaCJlJIHllJleM JI onacazr
JlX CBoHCTBa Bcxope nOCJIe aroro B 1875 r 6hIJI OTRphIT 3JIeMeHT
ua3BaHHhIfI raJIJIlI8M MeH)IeJIeeB TOTIaC me YRa3aJI na TO ITO raJIJIJlH
JI ecrr rrpencxaaaumrti JIM 3HaaJIIOMJlHJlH JI ITO OH pOJImeH JlMeTb aTOMshy
UhIH nee OROJIO 68 y)leJIbHhIH sec 60-59 JI aTOMHhIIf 061gteM 115 Ha caMOM )IeJIe -aToMHhIH aec raJIJIlIlI ORa3aJIClI paBHhIM 699 ynernshy
HhIH nee 596 II a TOMHhIH 061gt eM 117 OCHOBHOH epaRT 113 xoroporo IICXO)lJlJI p YI MeH)IeJIeeB npJl
nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
TO 3JIeMeHThI C aHaJIOrHIHhIMH CBOHCTBaMlI nepllO)IIIIeCHlI nOBTOshy
pHIOTClI MCXO)lR 113 aroro eMy ynanocs nOCTpOIlTb laquoeCTeCTBeHshy
UYIO CIICTeMY 3JIeMeHTOBraquo xoropaa ORa3aJIaCb npaBIIJIbHOH Heshy
CMOTpH aa TO ITO aTOMHhIH nee HaR BhIHCHIIJIOCb BnOCJIe)lCTBIIII_
A TOMbI H30TOITbI [roll II
He MomeT CqHTaTbCH HOHCTaHTOH 0)H03HatIHO onpenenmomea IIH)HBH)yaJIbHbIe CBOHCTBa aTOMa AeHCTBHTeJIbHO HHme MbI YBH)lIM
ITO cyrneCTBYIOT aemecraa xoropsre B XlIMlItIeCHOM OTHomeHlIlI nenyr
ce6H npaHTlItIeCHH o)lIHaHoBbIM 06pa30M aecaorpa na TO ITO lIX
ATOMHbIe neca pa3JIlItIHbI Taxae nemecrna Ha3bIBaIOTCH usomonauu TaH HaH BCJIe)CTBlIe lIX XlIMlItIeCHOH Tom)eCTBeHHOCTlI lIX He06xo)lIMO
IIIQMernaTb ua O)HO II TO me MeCTO B nepaonasecxon ClICTeMe (CJIOBO
laquoH30TOnbI) B 6yHBaJIbHOM nepenone C rpesecreoro oaaasaer laquo3aHlIMaIOshy
1U1Ie O)HO II TO me MeCTO)) XlIMlItIeCHlIe 8JIeMeHTbI aa caMOM neshy
JIe HBJIHIOTCH CMeCHMlI 1I30TonOB a HX aTOMHbIe seca onpezrenaeshy
MbIe 06bItIHbIMlI XlIMlItIeCHlIMlI MeTo)aMlI-cpe)HlIMlI 1I3 aTOMHbIX
BeCOB ncex otipaayionrax lIX 1I30TorrOB Hapany C aTOMaMlI 06JIashy
)aIOrnlIMlI onem 6JI1I3HlIMlI CBOHCTBaMlI npn pa3JIlItIHbIX aTOMHbIX
necax cymecmyror raroxe aTOMbI 06JIa)aIOrnlIe pa3JIHtIHbIMlI CBOHshy
ClBaMlI npa O)lIHaHOBbIX aTOMHbIX necax (1I306apbI CM T II rn XVIII)-
TaH HaH O)HaHO rrepaona-recxaa ClICTeMa 8JIeMeHTOB OHa3aJIaCb
npaBlIJIbHOH TO ee CJIe)yeT paCCMaTplIBaTb HaHmiddot~YH)aMeHTaJIbHbIH 3aHOH npaporna He3UBlIClIMO 01 roro HaHlIM rryTeM OHa 6bIJIa OTHpbITa
IIoCHOJIbHY XlIMlIqeCHlIH aTOMHbIH nee B )eHCTBlITeJIbHOCTlI He ecrs
lyrnecTBeHHbIH np1I3HaH amoua OCHOBHOH xapaHTeplICTHHOH 8JIeshy
MeHTa HBJIHeTCH ero nOJIOmeHlIe B neplIO)lItIeCHOH ClICTeMe a 810
nOJIOmeHlIe onpenerraerca HOMepOM MeCTa 3aHlIMaeMoro )aHHbIM
meMeHTOM B Ta6JIlI~e Meaneneena rJIy60HaH npanaaa BamHOCTlI
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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22605223 22705 X~Q
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39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
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58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
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54 ATOMbI M30TOrrbI [NI II
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1+ A-a
me A - aexoropaa nOCTOSlHHaSl RaR BHPUO aTO BLIpaiKeHHe
nocrpoeao TaH lJTO npH A- -+0 OHO nepexonar B fJOpMyJIya Croxca (21) IIpH nosroma aroii HCnpaBJIeHUOM fJ0PMYJILI MLI nOJIyshylJaeM AJISI a6COJIIOTHOH BeJIHlJHlihI aapana BMeCTO (25) cnerryiontee BLIpaiKeHHe
9 V2middott Ij 312VI2
(VE+Vg )- ge- (a - p)I2l l2 ~(1+A~Y2 (32)
llTo6LI HaHTH a6COJIIOTHyIO BeJIHlJHHY aapana no aTOM fJopMyJIe aano 3UaTIgt nocToHHHyIO A Onaarco MHJIJIHHaU noxaaan RaHHM ofipaacxr MO~HUO uaMTH HCTHHHyIO BeJIHlJHllY aapana He npafieran R onpeAeJIeHHIO )TOM nocronaaofi
113 conOCTaBJIeUUSl fJOpMyJl (25) H (31) JIerRO HaHTH oraomeshyHHe BeJIHlJHHLI eo R aapSlAY BLIlJHCJIeHUOMY 6ea nonpanna
1
eeo_
- (1+ A ~Y2 HnH
e~3 ( 1+ A ~ ) = e23bull
Ho nnaaa caotiozraor-o npo6era A o6paTHO nponopnaonansaa naBneIIlIIO raaa p n03ToMY
e~3 (1 + a) = e23 (33)
IAe B - uexoropaa HOBaSl nOCTOHHuaSl ECJIH HaMeUSlTIgt naanenae p H AnSI Ramporo auaseaaa nanneshy
HHH BLIlJHCnHTIgt RamYIllYIOcSI nenaxany aapana e (6ea nonpaaxa eZ13TO COrJlaCHO fJopMyne (33) MeiKAY H 1 pa poniKUa HMeTIgt
MeCTO nnueMuaSl aaBHCHMOCTIgt Hpn aTOM TaR HaR lJneu Blpa B fJopMyne (33) arpaer ponlgt
ManoM nonpanrca TO B HalJeCTBe panayca xannn a MOiKHO B3HTIgt BenHlJnHY BLIlJHCJlHeMYIO no ueacnpaanenaoii fJopMyJIe CTOHca CM fJ0PMYJlY (23)] B caMOM AeJIe HOHCTaUTa B cor-nacuo HaMeshypeUHHM MHJlJIHHlHa panaa
~B = 0000617 l
2 a B mnOJlbctt T I ~ r ~ i ~i~
ilild~ll bull 11l ~------
8
18 3JIEHTPOH sr-o 3APHD n MACCA [r-a I
eCJIn p naMepeHO B CUHTnMeTpax pTyTHoro cToJI6a n a-B caHTn-MeTpax
Pnc 3 rne oca opnnaar
7
JoD
sect I
~
~e
~
V
aa OCM aficnacc OTJIOmeHIlI aHaIeHlIH 1fppoundl a aa e2
a bull 108 uoreaaraaaer ITO rpefiyeuan qgtopMyshyJIOM (33) JIMHeiiHaH aashyBnCIlMOCTb cyurecrnyer B geMcTBnTeJIbHOcTM IToshynaraa B qgtopMyJIe (33) 1fp =0 MJIM a = co T e nepexona R npenensuoshyMy CJIylfaIO xorna aaROH CTORca gOJlmeH 6IlITb cnpaaertnaa (paguyc sashyCTM~bI 6eCROHetIHO BeJIMR no cpasnenmo CO cpenshyHeii gJInHOM cBo6ogHorO
zoo f 300 liDO pOD nYTH) HaiigeM e2a = e~a pa arnr e =eo TaRHM o6pashy
Pac 3 aOM gJIH aaxoamenaa nCTMHHoro aHaIeHHH aashy
pana BJIeRTpOHa eo gocTaTOtIHO BRCTpanOJIIlpOBaTb npHMYIO go nepe-CeleHMH ee C OCbIO opnanar
Ha middotpMC 4 npaaenema tIeTbIpe cnocorioa PJIH tIaCTII~ paaJIMtIHOII B noanyxe I I - xansns-Rn MaCJIa B sozropone I I 1- RaneJIbRM pTyTM B sosztyxe IV -TIaCTn~1iI
lIIeJIJIaRa B soanyxe Bee IeTbIpe npmnre nepeceshyRaI9T OCb opnauar B 00- ~
HOH TOIRe aapHo BJIeR- ~70
TpOHa He aaBMCMT HM OT npaponsr tIaCTM~ HH OT IIPMPOgliI raaa oRpymashyiomero IaCTMI(bI
OnbITbI MHJIJIMRBHa HMeIOT 60JIblIIOe npIIH~Mshynaansuoe anaseaae TaR RaR OHM C nOJIHoii OIeshyBlIgHOCTbIO pORaaIiIBaIOT aTOMIICTMIeCHYIO npnposhy
npmnae nocrpoeaaue TaRIIM me
npapojrsr I - RaneJIbRM MaCJIa
500100ZOO I 300100
75f----+---+7shy
80--------
po Pac 4
~y BJIeRTpllleCROrO aapana IIo aenasaero BpeMeHM raxace H a6COJIIOTHOe aaaaenae aapHg8~J BJIeRTpOHa e = 4770 10-10 CGSE nOJJyIeHHOe 11M CIlITaJIOCb Ha1l60JIee t TOIHbIM COBepmeHHO Heshyomnp8HHO onaaxo BbIHCHMJIOCb ITO ltlTO ananeane copepmllT cncrashy
sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
-8
$
C
-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
Ilepnaa Ta6JIIIlla 6hIJIa ony6JIlIROBaHa MeH)IeJIeeBhIM B 1869 r
R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
nOplI)IOR CJIe)lOBaHJllI Hepenxo 3TJI Jl3MeHeHII1I 6hIJIJI necsua cymeshy
CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
14013) aTOMHhIe neca ropaa JI ypaHa no )IaHHhIM roro BpeMeHJI
6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
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B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
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44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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22605223 22705 X~Q
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39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
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5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
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PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
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1+ A-a
me A - aexoropaa nOCTOSlHHaSl RaR BHPUO aTO BLIpaiKeHHe
nocrpoeao TaH lJTO npH A- -+0 OHO nepexonar B fJOpMyJIya Croxca (21) IIpH nosroma aroii HCnpaBJIeHUOM fJ0PMYJILI MLI nOJIyshylJaeM AJISI a6COJIIOTHOH BeJIHlJHlihI aapana BMeCTO (25) cnerryiontee BLIpaiKeHHe
9 V2middott Ij 312VI2
(VE+Vg )- ge- (a - p)I2l l2 ~(1+A~Y2 (32)
llTo6LI HaHTH a6COJIIOTHyIO BeJIHlJHHY aapana no aTOM fJopMyJIe aano 3UaTIgt nocToHHHyIO A Onaarco MHJIJIHHaU noxaaan RaHHM ofipaacxr MO~HUO uaMTH HCTHHHyIO BeJIHlJHllY aapana He npafieran R onpeAeJIeHHIO )TOM nocronaaofi
113 conOCTaBJIeUUSl fJOpMyJl (25) H (31) JIerRO HaHTH oraomeshyHHe BeJIHlJHHLI eo R aapSlAY BLIlJHCJIeHUOMY 6ea nonpanna
1
eeo_
- (1+ A ~Y2 HnH
e~3 ( 1+ A ~ ) = e23bull
Ho nnaaa caotiozraor-o npo6era A o6paTHO nponopnaonansaa naBneIIlIIO raaa p n03ToMY
e~3 (1 + a) = e23 (33)
IAe B - uexoropaa HOBaSl nOCTOHHuaSl ECJIH HaMeUSlTIgt naanenae p H AnSI Ramporo auaseaaa nanneshy
HHH BLIlJHCnHTIgt RamYIllYIOcSI nenaxany aapana e (6ea nonpaaxa eZ13TO COrJlaCHO fJopMyne (33) MeiKAY H 1 pa poniKUa HMeTIgt
MeCTO nnueMuaSl aaBHCHMOCTIgt Hpn aTOM TaR HaR lJneu Blpa B fJopMyne (33) arpaer ponlgt
ManoM nonpanrca TO B HalJeCTBe panayca xannn a MOiKHO B3HTIgt BenHlJnHY BLIlJHCJlHeMYIO no ueacnpaanenaoii fJopMyJIe CTOHca CM fJ0PMYJlY (23)] B caMOM AeJIe HOHCTaUTa B cor-nacuo HaMeshypeUHHM MHJlJIHHlHa panaa
~B = 0000617 l
2 a B mnOJlbctt T I ~ r ~ i ~i~
ilild~ll bull 11l ~------
8
18 3JIEHTPOH sr-o 3APHD n MACCA [r-a I
eCJIn p naMepeHO B CUHTnMeTpax pTyTHoro cToJI6a n a-B caHTn-MeTpax
Pnc 3 rne oca opnnaar
7
JoD
sect I
~
~e
~
V
aa OCM aficnacc OTJIOmeHIlI aHaIeHlIH 1fppoundl a aa e2
a bull 108 uoreaaraaaer ITO rpefiyeuan qgtopMyshyJIOM (33) JIMHeiiHaH aashyBnCIlMOCTb cyurecrnyer B geMcTBnTeJIbHOcTM IToshynaraa B qgtopMyJIe (33) 1fp =0 MJIM a = co T e nepexona R npenensuoshyMy CJIylfaIO xorna aaROH CTORca gOJlmeH 6IlITb cnpaaertnaa (paguyc sashyCTM~bI 6eCROHetIHO BeJIMR no cpasnenmo CO cpenshyHeii gJInHOM cBo6ogHorO
zoo f 300 liDO pOD nYTH) HaiigeM e2a = e~a pa arnr e =eo TaRHM o6pashy
Pac 3 aOM gJIH aaxoamenaa nCTMHHoro aHaIeHHH aashy
pana BJIeRTpOHa eo gocTaTOtIHO BRCTpanOJIIlpOBaTb npHMYIO go nepe-CeleHMH ee C OCbIO opnanar
Ha middotpMC 4 npaaenema tIeTbIpe cnocorioa PJIH tIaCTII~ paaJIMtIHOII B noanyxe I I - xansns-Rn MaCJIa B sozropone I I 1- RaneJIbRM pTyTM B sosztyxe IV -TIaCTn~1iI
lIIeJIJIaRa B soanyxe Bee IeTbIpe npmnre nepeceshyRaI9T OCb opnauar B 00- ~
HOH TOIRe aapHo BJIeR- ~70
TpOHa He aaBMCMT HM OT npaponsr tIaCTM~ HH OT IIPMPOgliI raaa oRpymashyiomero IaCTMI(bI
OnbITbI MHJIJIMRBHa HMeIOT 60JIblIIOe npIIH~Mshynaansuoe anaseaae TaR RaR OHM C nOJIHoii OIeshyBlIgHOCTbIO pORaaIiIBaIOT aTOMIICTMIeCHYIO npnposhy
npmnae nocrpoeaaue TaRIIM me
npapojrsr I - RaneJIbRM MaCJIa
500100ZOO I 300100
75f----+---+7shy
80--------
po Pac 4
~y BJIeRTpllleCROrO aapana IIo aenasaero BpeMeHM raxace H a6COJIIOTHOe aaaaenae aapHg8~J BJIeRTpOHa e = 4770 10-10 CGSE nOJJyIeHHOe 11M CIlITaJIOCb Ha1l60JIee t TOIHbIM COBepmeHHO Heshyomnp8HHO onaaxo BbIHCHMJIOCb ITO ltlTO ananeane copepmllT cncrashy
sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
-8
$
C
-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
Ilepnaa Ta6JIIIlla 6hIJIa ony6JIlIROBaHa MeH)IeJIeeBhIM B 1869 r
R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
nOplI)IOR CJIe)lOBaHJllI Hepenxo 3TJI Jl3MeHeHII1I 6hIJIJI necsua cymeshy
CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
14013) aTOMHhIe neca ropaa JI ypaHa no )IaHHhIM roro BpeMeHJI
6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
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B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
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44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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22605223 22705 X~Q
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39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
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5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
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58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
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aa OCM aficnacc OTJIOmeHIlI aHaIeHlIH 1fppoundl a aa e2
a bull 108 uoreaaraaaer ITO rpefiyeuan qgtopMyshyJIOM (33) JIMHeiiHaH aashyBnCIlMOCTb cyurecrnyer B geMcTBnTeJIbHOcTM IToshynaraa B qgtopMyJIe (33) 1fp =0 MJIM a = co T e nepexona R npenensuoshyMy CJIylfaIO xorna aaROH CTORca gOJlmeH 6IlITb cnpaaertnaa (paguyc sashyCTM~bI 6eCROHetIHO BeJIMR no cpasnenmo CO cpenshyHeii gJInHOM cBo6ogHorO
zoo f 300 liDO pOD nYTH) HaiigeM e2a = e~a pa arnr e =eo TaRHM o6pashy
Pac 3 aOM gJIH aaxoamenaa nCTMHHoro aHaIeHHH aashy
pana BJIeRTpOHa eo gocTaTOtIHO BRCTpanOJIIlpOBaTb npHMYIO go nepe-CeleHMH ee C OCbIO opnanar
Ha middotpMC 4 npaaenema tIeTbIpe cnocorioa PJIH tIaCTII~ paaJIMtIHOII B noanyxe I I - xansns-Rn MaCJIa B sozropone I I 1- RaneJIbRM pTyTM B sosztyxe IV -TIaCTn~1iI
lIIeJIJIaRa B soanyxe Bee IeTbIpe npmnre nepeceshyRaI9T OCb opnauar B 00- ~
HOH TOIRe aapHo BJIeR- ~70
TpOHa He aaBMCMT HM OT npaponsr tIaCTM~ HH OT IIPMPOgliI raaa oRpymashyiomero IaCTMI(bI
OnbITbI MHJIJIMRBHa HMeIOT 60JIblIIOe npIIH~Mshynaansuoe anaseaae TaR RaR OHM C nOJIHoii OIeshyBlIgHOCTbIO pORaaIiIBaIOT aTOMIICTMIeCHYIO npnposhy
npmnae nocrpoeaaue TaRIIM me
npapojrsr I - RaneJIbRM MaCJIa
500100ZOO I 300100
75f----+---+7shy
80--------
po Pac 4
~y BJIeRTpllleCROrO aapana IIo aenasaero BpeMeHM raxace H a6COJIIOTHOe aaaaenae aapHg8~J BJIeRTpOHa e = 4770 10-10 CGSE nOJJyIeHHOe 11M CIlITaJIOCb Ha1l60JIee t TOIHbIM COBepmeHHO Heshyomnp8HHO onaaxo BbIHCHMJIOCb ITO ltlTO ananeane copepmllT cncrashy
sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
-8
$
C
-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
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R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
nOplI)IOR CJIe)lOBaHJllI Hepenxo 3TJI Jl3MeHeHII1I 6hIJIJI necsua cymeshy
CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
14013) aTOMHhIe neca ropaa JI ypaHa no )IaHHhIM roro BpeMeHJI
6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
MeCTa pOJDRHhI 6hITb 3aHHThI eme He OTRPhIThIMJI 3JIeMeUTaMJI
B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
pue OH Ha3BaJI 3Ha60pOM 3RaaJIIOMJlHJleM JI 3RaCJlJIHllJleM JI onacazr
JlX CBoHCTBa Bcxope nOCJIe aroro B 1875 r 6hIJI OTRphIT 3JIeMeHT
ua3BaHHhIfI raJIJIlI8M MeH)IeJIeeB TOTIaC me YRa3aJI na TO ITO raJIJIJlH
JI ecrr rrpencxaaaumrti JIM 3HaaJIIOMJlHJlH JI ITO OH pOJImeH JlMeTb aTOMshy
UhIH nee OROJIO 68 y)leJIbHhIH sec 60-59 JI aTOMHhIIf 061gteM 115 Ha caMOM )IeJIe -aToMHhIH aec raJIJIlIlI ORa3aJIClI paBHhIM 699 ynernshy
HhIH nee 596 II a TOMHhIH 061gt eM 117 OCHOBHOH epaRT 113 xoroporo IICXO)lJlJI p YI MeH)IeJIeeB npJl
nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
TO 3JIeMeHThI C aHaJIOrHIHhIMH CBOHCTBaMlI nepllO)IIIIeCHlI nOBTOshy
pHIOTClI MCXO)lR 113 aroro eMy ynanocs nOCTpOIlTb laquoeCTeCTBeHshy
UYIO CIICTeMY 3JIeMeHTOBraquo xoropaa ORa3aJIaCb npaBIIJIbHOH Heshy
CMOTpH aa TO ITO aTOMHhIH nee HaR BhIHCHIIJIOCb BnOCJIe)lCTBIIII_
A TOMbI H30TOITbI [roll II
He MomeT CqHTaTbCH HOHCTaHTOH 0)H03HatIHO onpenenmomea IIH)HBH)yaJIbHbIe CBOHCTBa aTOMa AeHCTBHTeJIbHO HHme MbI YBH)lIM
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ce6H npaHTlItIeCHH o)lIHaHoBbIM 06pa30M aecaorpa na TO ITO lIX
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MeHTa HBJIHeTCH ero nOJIOmeHlIe B neplIO)lItIeCHOH ClICTeMe a 810
nOJIOmeHlIe onpenerraerca HOMepOM MeCTa 3aHlIMaeMoro )aHHbIM
meMeHTOM B Ta6JIlI~e Meaneneena rJIy60HaH npanaaa BamHOCTlI
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aTOMHbIX BeCOB ncex 1I30TorrOB naanoro 8JIeMeHTa TO Mem)y 8THM
cpe)HIIM aTOMHbIM BeCOM II aTOMHbIM HOMepOM cymecrnyer npocraa
MOHOTOHHaH 3aBlIClIMOCTb (pIIC 21) B HeMHorlIX CJIytIaHX aorna
810 COOTBeTCTBHe lIapyrnaeTcH (K-Ar Te-middotJ Co-Ni) Meaneaeen C reHlIaJIbHOH HHTYH~HeH paCrrOJIOmlIJI 8JIeMeHTbI npanarrsno
nonpexa HX aTOMHbIM necax
Ha pHC 22 II 23 rrpa aenema aexoroprae npauepu nepaonasecnoro
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aa O)HOH )lIarpaMMe XO) HeCHOJIbHlIX ~1I3HtIeCHHX CBOHCTB B 3ashy
BIIClIMOCTlI 01 aroaaoro aoxepa a HMeHHO-BepXHHH HpHBaH paeT
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middot~JiIOinl Bll~HO ITO nee ara CBOHCTBa He rozirxo HcnLITLIBaIOT nepaoshy
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BHeIDHHe ltJOpMLI ROTopLIe MoryT 6LITb npH~aHLI eCTeCTBeHHoii
CHCTeMe 9JIeMeHTOB aecsxa pa3Ho06pa3HLI Ha1I60JIee pacnpocrpashy
ueHHLIMH HBJIHIOTCH Ta6JIllIJLI ~BYX BH~OB-C ~JIHHHLIMH H ROpOTRHMl
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sect 13] nEPllOpnQECRAH CllCTEMA 8JIEMEHTOB p n MEHPEJIE EBA 51
nepHogaMH TeOpeTHqeCRH 60JIee 06ocHoBaHa Ta6JIH~a C gJIHHHMMH
nepaonaxn (Ta6JIH~a II na CTp 52) Paccxorpaa nOCJIegoBaTeJIbHMe pHAM aTOM Ta6JIH~M ITepBMlI
pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
aJIeMeHTOM BOgOPOgOM H saRaHqHBaeTCH 6JIaropogHMM raaox reJIHeM
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pacmapeaaa ~ 10amp HII)ltRRIJ KplIBalJ-K09centicentiHIHeHT ClRHMaeMOCTH lCmiddot 106 bull
B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
CTBaMH ITo Mepe nponaaareaaa nnpaao 06a aTH CBOMCTBa aaMeTHO
OCJIa6JIHIOTCH H nOCTeneHHO npOHBJIlUOTCH CBolIcTBa npOTHBOnOJIOmshy
mre HaROHe~ geBHTMH aJIeMeHT-ltpTop-ORaaMBaeTCH aarunonou
JIHTHfI OH flBJIHeTCfI THnHqHMM MeTaJIJIOH)JOM H 06JIagaeT peSRO
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nHT xepea laquoaMltpoTepHMHraquo aJIeMeHT-RpeMHnlI (M 14) ROTOpMit 06shy
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T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
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18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
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I I I II I III I IV I V VI
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3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
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rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
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sect 4] uBIUREHIIE aJIEHTPOH B aJIEHTPllIECHOM 11 MArHllT IIOJIRX 19
MaTHIecRyIO rrorpemaocrr A HMeHHO ROCBeHHoe HO speassraaiiao TOIHOe oupenerreuae e npn nosrouta a6COJIIOTHhIX asxepeuaii nJIIlHhI BOJInhI peHTreHoBcRHX nyleil (sectsect 38 - 39) naJIO BeJIlllfHHY 3JIeMeHshyrapaoro 3JIeRTpHIeCROrO aapana 3aMeTHO OTJIHIalOmYIOCH OT HailshyneHHoil MHJIJIHR3HOM IToCJIe uexoroprax nonCROB n nacnyccaa 6hIJIO yCTaHOBJIeHO xro npHHHTaH nM BeIHIIIHa RO3fgtfgtnnneHTa
BHyTpeHHerO TpeHHH soan yxa YJ = 18226 10-7 cnnIIIHOM MaJIa PHn OlfeHb TOlHhIX onpenenennii 3Toil BeJIHInHhI BhInOJIHeHHLIX B nOCJIelIHHe roma (1936 - 1940) naJI nJIH II ee BO ncex cnysaax lfnCJIO 3HalfHTenhHO npeBhIIIIaIOUee TO ROTOpOe npHHHTO MllJIJII1R3shy
HOM Cpennee H3 3THX HOBhIX onperreneuaii panaoe YJ = 183210-7
naer BeJIHlfllHy e = 4805 10-1 0 CGSE ITo nOBOiJy HaH60JIee TOlHOH BeJIHlfHHhI e CM nazree sect 39
Y rr pam H e H MR 1 ~aHYIO pa3IIOCTh nOTeHIwaJIOB rryncrro BaJIOmMTh aa IIJIaCTMlIHM HOHAeHca ropa paCCTORHlle MemAY HOTOpblMM panao 5 MM
AJIR roro lJTOObl ypanaouecarr Ma~JIfIHYIO HaneJIhHY HecyII(yIO aapan paBHbllt 5 3apHAaM aneurporra Macca HanJlII paana 311910-13 2 (OTlleT 192 V)
2 BbIlHCJIMTb CHOpOCTh lIa-~eHIIR HallJlII MaCJla nJIOTHOCTbIO 098 C paAIIshyyCOM 10-4 CU B B03]1yxe npa ilaBJleIIIIH 70 CM HOStPlPMIJMBHT eny rpeaaero TpeHIIR noanyxa 00001832 (UTBBT 00117 cMfce~)
3 Paaaocrs llOTeHIJlIaJIOlJ B 315 V npanomeanan H IIJIaCTMHHaM HOHAeHshycaropa OTCTORII(ClM rra 1 CM 3aCTaflJlRBT 3apRmeHHyIO xarrmo Mashycna nneranca nncpx co CHOpOCTbIO 10 lleJleHMti D 10 cex (50 AeJleHlIll=1 MM) CHOpOCTio nanenaa nOA )lellCTBIIBM CMm] TRmeCTM-10 ABJleHMll J) 100 Cell Hoscj)(llIIUIIBUT BHy rpennero TpeHMH nonnyxa 0 000 18 llJloTHOCTb HallJIM 09 JaBJIeUMB B03]1yxa 76 CM CHOJlbHO SJleHTpOHoB HBceT xarma (OTBeT OiJIIH)
sect 4 ))BHmeHHe 1JIeampTpOHR B meRTpHIeCROM B MarHHTHOM noaax
Hapany C eapanoa OCHOBHOH ROHcTaHToH xapaxrepaayiomen 3JIeHTpOH HBJIHeTCH ero Macca BTa Macca OleHb MaJIa ITO caenyer XOTH 6hI lI3 roro ITO nplI Ha6JIIOneHHHX B xonnencarope MlIJIJIlIWlHa norepa nrra npaofipereuae HeCROJIbHHX meHTpOHOB npa nepeaapanne He ORa3hIBaeT aasrernoro BJIHHHHH na CROpOCTb nanenaa 1aCTHnhI XOTH no fgtopMyJIe (22) CROpOCTb panaouepaoro nanenaa nporropnnoshyHaJIbHa Macce HaJIHlfHe HHepTHOH MaCChI y 1JIeHTpOlla CHa3hIBaeTshyCH onnaxo B rex cnyxaax Horna 1JIeHTpoHy COo6maeTCH ycxopeshyHHe non neHCTBHeM aneierpa-recxoro HJIH MarHHTHoro nOJIH IIO3TOMY nee MeTonhI onpenencaaa MaCChI 3JIeHTpOHa OCHOBaHhI na H3YlfeHHH ero nBHmeHHH B 3JIeHTpHIeCHHX H MarHHTHhIX nOJIHX H lIaIIIa 6JIHshymaHIIIaH aanaxa 3aHJIIOIaeTCH B TOM 1To6hI paCCMOTpeTb BJIHHHHe roro H npyroro nozren na nBHmeHHe 3JIOHTpOlla
RaH H3BeCTIIO) CHJIa nellCTBYIOmaH CO CTOpOHhI 3JIeHTpOMarshynarnoro nOJIH aa 1aCTHI~y lIecymyIO aapan e (TaH Ha3hIBaeMaH
) CM narrpaaep 11 E TaM M OCHOBM reop aa lliIeflTpUlJeCTBa CTp 210 IocTeXH3iJaT 1949
2
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
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PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
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R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
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CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
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6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
MeCTa pOJDRHhI 6hITb 3aHHThI eme He OTRPhIThIMJI 3JIeMeUTaMJI
B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
pue OH Ha3BaJI 3Ha60pOM 3RaaJIIOMJlHJleM JI 3RaCJlJIHllJleM JI onacazr
JlX CBoHCTBa Bcxope nOCJIe aroro B 1875 r 6hIJI OTRphIT 3JIeMeHT
ua3BaHHhIfI raJIJIlI8M MeH)IeJIeeB TOTIaC me YRa3aJI na TO ITO raJIJIJlH
JI ecrr rrpencxaaaumrti JIM 3HaaJIIOMJlHJlH JI ITO OH pOJImeH JlMeTb aTOMshy
UhIH nee OROJIO 68 y)leJIbHhIH sec 60-59 JI aTOMHhIIf 061gteM 115 Ha caMOM )IeJIe -aToMHhIH aec raJIJIlIlI ORa3aJIClI paBHhIM 699 ynernshy
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nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
TO 3JIeMeHThI C aHaJIOrHIHhIMH CBOHCTBaMlI nepllO)IIIIeCHlI nOBTOshy
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UYIO CIICTeMY 3JIeMeHTOBraquo xoropaa ORa3aJIaCb npaBIIJIbHOH Heshy
CMOTpH aa TO ITO aTOMHhIH nee HaR BhIHCHIIJIOCb BnOCJIe)lCTBIIII_
A TOMbI H30TOITbI [roll II
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ce6H npaHTlItIeCHH o)lIHaHoBbIM 06pa30M aecaorpa na TO ITO lIX
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IIIQMernaTb ua O)HO II TO me MeCTO B nepaonasecxon ClICTeMe (CJIOBO
laquoH30TOnbI) B 6yHBaJIbHOM nepenone C rpesecreoro oaaasaer laquo3aHlIMaIOshy
1U1Ie O)HO II TO me MeCTO)) XlIMlItIeCHlIe 8JIeMeHTbI aa caMOM neshy
JIe HBJIHIOTCH CMeCHMlI 1I30TonOB a HX aTOMHbIe seca onpezrenaeshy
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necax cymecmyror raroxe aTOMbI 06JIa)aIOrnlIe pa3JIHtIHbIMlI CBOHshy
ClBaMlI npa O)lIHaHOBbIX aTOMHbIX necax (1I306apbI CM T II rn XVIII)-
TaH HaH O)HaHO rrepaona-recxaa ClICTeMa 8JIeMeHTOB OHa3aJIaCb
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IIoCHOJIbHY XlIMlIqeCHlIH aTOMHbIH nee B )eHCTBlITeJIbHOCTlI He ecrs
lyrnecTBeHHbIH np1I3HaH amoua OCHOBHOH xapaHTeplICTHHOH 8JIeshy
MeHTa HBJIHeTCH ero nOJIOmeHlIe B neplIO)lItIeCHOH ClICTeMe a 810
nOJIOmeHlIe onpenerraerca HOMepOM MeCTa 3aHlIMaeMoro )aHHbIM
meMeHTOM B Ta6JIlI~e Meaneneena rJIy60HaH npanaaa BamHOCTlI
aroro qlICJIa naaraaaesroro amOMHb~M HOMepOM COCTOlIT B TOM ITO
OHa HBJIHeTCH na caMOM nene He rrpOCTO rropH)HOBbIM HOMepOM
HO O)HOH H3 OCHOBHbIX gJuaU1ieCXUX HOHCTaHT aTOMa HaH 810 6y)eT
nOHa3aHO B )aJIbHellrn8M
B03MomHOCTb pacnonoareaaa 8JIeMeHTOB B npaBlIJIbHYIO cncreay
npa nOMOrnH aTOMHbIX BeCOB OCHOBaHa aa CJIe)YIOrneM 3aMeqaTeJIbshy
HOM ~aHTe eCJIlI xaparcrepaaonarr )aHHbIH 8JIeMeHT aTOMHbIM BeCOM
onpenenaesnaa XlIMHqeCRlIMlI MeTo)aMlI II HBJIHIOrnlIMCH cpe)HHM 1I3
aTOMHbIX BeCOB ncex 1I30TorrOB naanoro 8JIeMeHTa TO Mem)y 8THM
cpe)HIIM aTOMHbIM BeCOM II aTOMHbIM HOMepOM cymecrnyer npocraa
MOHOTOHHaH 3aBlIClIMOCTb (pIIC 21) B HeMHorlIX CJIytIaHX aorna
810 COOTBeTCTBHe lIapyrnaeTcH (K-Ar Te-middotJ Co-Ni) Meaneaeen C reHlIaJIbHOH HHTYH~HeH paCrrOJIOmlIJI 8JIeMeHTbI npanarrsno
nonpexa HX aTOMHbIM necax
Ha pHC 22 II 23 rrpa aenema aexoroprae npauepu nepaonasecnoro
rrOBTopeHHH CBOHCTB aTOMOB PHC 22 rrpe)CTaBJIHeT HPHBYIO aTOMHbIX
06LeMOB no OCII aticnacc OTJIOmeHbI aTOMHbIe noaepa no OCII 0P)Hshy
aTOMHbIH nee ) 23 HaT-aTOMHbIe 06LeMbI (= na pac npe)CTaBJIeH
IIJIOTHOCTb
aa O)HOH )lIarpaMMe XO) HeCHOJIbHlIX ~1I3HtIeCHHX CBOHCTB B 3ashy
BIIClIMOCTlI 01 aroaaoro aoxepa a HMeHHO-BepXHHH HpHBaH paeT
XO) 06paTHbIx 13eJIHtIHH TeMrrepaTypbI rrJIaBJIeHHH cpenaaa HpHBaHshy
middot~ _- J
ita] OEPHO)lI1ECHAH CI1CTEMA 8JIEMEHTOB IJ H MEHIJEJIEEBA 49
XOA H09ltJltJIlIJlleHTOB JIllHeHHOro pacmapenaa II HllmHHH-cmllMaeshy
middot~JiIOinl Bll~HO ITO nee ara CBOHCTBa He rozirxo HcnLITLIBaIOT nepaoshy
~BqeCRlle 113MeHeHllH npa MOHOTOHHOM soapaoraaaa arounoro aouepa (cpezurero aroaaoro neoa) HO ITO MaRcHMyMLI H MHHlIMYMhI Y Bcex
ZIIO
230
20
1 210
ZOO
190
180
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gt~ ISO
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120
ftO
100
90
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110
3D 20
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PRe 21 ATOHHhIH nee RaR qgtYHRUlUI aroxnoro aoaepa
HpHBLIX npHxO~HTCH aa O~HH H re me 3HaqeHHH aronnoro noxepa
T e ITO see 9TH CBOHCTBa 06HapymHBaIOT of)unaK06Y1O nepHO~HIshy BOCTb
BHeIDHHe ltJOpMLI ROTopLIe MoryT 6LITb npH~aHLI eCTeCTBeHHoii
CHCTeMe 9JIeMeHTOB aecsxa pa3Ho06pa3HLI Ha1I60JIee pacnpocrpashy
ueHHLIMH HBJIHIOTCH Ta6JIllIJLI ~BYX BH~OB-C ~JIHHHLIMH H ROpOTRHMl
a B muelJLcRIIA T I
50 A TOMbbullH30TOllhI rlI- U
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sect 13] nEPllOpnQECRAH CllCTEMA 8JIEMEHTOB p n MEHPEJIE EBA 51
nepHogaMH TeOpeTHqeCRH 60JIee 06ocHoBaHa Ta6JIH~a C gJIHHHMMH
nepaonaxn (Ta6JIH~a II na CTp 52) Paccxorpaa nOCJIegoBaTeJIbHMe pHAM aTOM Ta6JIH~M ITepBMlI
pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
aJIeMeHTOM BOgOPOgOM H saRaHqHBaeTCH 6JIaropogHMM raaox reJIHeM
TPeTHM aJIeMeHT-JIHTHlI-CHoBa OAHOBaJIeHTeHj OH HBJIHeTCH THnHqshy
HMM MeTaJIJIOM H 06JIaAaeT peSRO BMpameHHMMH lI(eJIOqHMMH cBOlIshy
Al)O_---ltgt- _-00- oa
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I
IrQ
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o 10 30 JIJ 10 50 60 llJ SIJ I1mUHHblli HOjep
PRe 23 IIeplIOpllQROCTb ltpH31IQeCKlIX CBOHCTB BepXHIUJ KpHBaR-06paTRbIe
1 kk bullTeMIIepaTypbI nJIaBJIeHlIlJ T 104 CpepHRIJ xpaaaa - K09iilIIWeHT JIlIReUHOro
pacmapeaaa ~ 10amp HII)ltRRIJ KplIBalJ-K09centicentiHIHeHT ClRHMaeMOCTH lCmiddot 106 bull
B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
CTBaMH ITo Mepe nponaaareaaa nnpaao 06a aTH CBOMCTBa aaMeTHO
OCJIa6JIHIOTCH H nOCTeneHHO npOHBJIlUOTCH CBolIcTBa npOTHBOnOJIOmshy
mre HaROHe~ geBHTMH aJIeMeHT-ltpTop-ORaaMBaeTCH aarunonou
JIHTHfI OH flBJIHeTCfI THnHqHMM MeTaJIJIOH)JOM H 06JIagaeT peSRO
BLIpamemrnMH RHCJIOTHMMH CBolIcTBaMH IJaJIee cnenyer 6JIaropogshy
BLIH raa HeOH a aa HHM lI(eJIoqHOlI MeTaJIJI HaTpHH (M 11) II BCH
xaprana npezrsmymero nepaona nOBTopHeTCH TaR qTO xepea aoceus 3JIeMeHTOB (CqHTaa H HaTpHH) MM BHOBb ncrpeaaea lI(eJIOqHOH MeTaJIJI
RaJIHH ROTOpOMy npenmecrnyet 6JIaropogHMlI raa apron (M 18) Ilepexon OT THnHqHMX MeTaJIJIOB R THnHqHMM MeTaJIJIOHAaM rrpoacxoshy
nHT xepea laquoaMltpoTepHMHraquo aJIeMeHT-RpeMHnlI (M 14) ROTOpMit 06shy
zranaer gByMfI MogHltpHRa~HHMHMeTaJIJIHqeCROlI H HeMeTaJIJIHqeCROB
-- ---
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T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
~
18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
20 3JIERTPOH ErO 3APHIJ If MACCA rll I
cana JIopeHIJa) nupaaraerca ltlOpMyJIOtI
F = eG+-[vX] (41)c
3)]eCb nepaua qneH rrpe)]CTaBJIHeT CHJIY )]eHcTByIOIIJYIO co CTOpOUbI 3neRTpUqeCROrO rrOJIH BTOpOH-CO CTOpOHbI MarHHTHoro) Ilpenshynoaaraerca qTO aapan e supaarea B meRTpOCTaTUqeCHotI CHCTeMe e)]HlUlIJ llaJIbHeHmHe paccymnenaa MbI rrpOU3Be)]8M )]JIH rrOJIOmHshyTeJIbHO 3apHmeHHoH qaCTUIlbI O)]HaRO OHH rrpHMeHHMbI H R )]BHiIeHHIO OTpHIlaTeJIbHO aapameaasrx qaCTHIl Hano TOJIbRO rrOMHHTb xorna peqb H)]8T 06 3JIeRTpOHe qTO OH aecor OTpHIlaTeJIbHbIH aapan H narrpashyBJIeHHe ero OTRJIOHeHHH ncerrta 6y)]eT rrpoTHBOrrOJIOmHO nanpaaneshyHHIO OTRJIOHeHHH rrOJIOmHTeJIbHO 3apHmeHHoH qaCTHIlbI
COrJIaCHO BTOpOMy aarcony HbIOToHa CHJIa F panaa npoaanene-
HHIO MaCCbI m na ycxopeuae v
F=mv (41) IIpHpaBHHBaH npaaue qaCTH (41) H (41) uonyvaex
bull e mv= eg+~[vX] (42)
Paccuorpaa reneps OT)]eJIhHO )]enCTBHe 3JIeRTpqeCROrO U MarshyHHTHoro nozreji ITOJIaraH B (42) 6 = 0 rrOJIyqaeM
bull e mv = c [vX] (43)
OqeHb qaCTO npa paccaorpeaan pBHmeHHH aapana B MarHHTshyHOM none rrOJlh3YIOTCH 3JIeRTpOshyMarBHTHon CI1CTCMOH e)]HHI1Il Torshyna (43) rrpHHI1MaeT BI1)]
mv = e [vXJ oTRy)]a
bull e v=-[vX] (44)m
TaR RaR CHJIa )]encTByIOIIJaH co CTOpOHbI MarUHTHoro nOJIH mapashyPlIC 5 maeTCH BeITOpHbIM rrpOH3BepeHHeM
TO Tpl1~BeRTopa F v X 06pa3YIOT npaaoaaaronymcacrexy (pHC 5) Bexropaoe ypanaeune (44) SRBHBaJIeHTHO CJIe)]YIOIIJflM TpeM
CRaJIHpHbIM ypaBHeHHHM
dt = ~(ViI(J8-vzjJ]y) )I
dv y e 1 (44)lit = m (VY6 x-Vx3f6z) I
~ = ~ (vfl8 y - VY 276 x ) J ) B paJIbHeHllIeM MbI 6YAeM lIHOIpa Ha3IJBaTb ClIJIOH Jlopenaa uTopoi
qJIeH centOpMyJIhI (41) CBlI3aHHIJH C MaIHlITHIJM nOJIeM
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
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o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
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yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
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HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
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PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
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posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
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laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
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npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
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a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
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TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
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e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
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$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
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5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
sect 4] IIBIIlliEHIIE 8JIEHTPOHA 13 3JIEHTPWIECHOM II MArHIIT IIOJIHXj 21
Harerpaponanae )TOM CllCTeMbI ypanaennii B 60JIbIIHIHCTBe CJIyIaeB npelWTaBJIHeT C060I1 TPYAHylO MaTeMaTllIecHyIO aanasy Pemenne ee AJIH pana CJIyIaeB 6bIJIO AallO C A BoryCJIaBCHllM MbI paCCMOTpl1M IIpocTeiIwllH CJlyIaH YCJIOBllH xoroporo OAHaIW OTBeqaIOT 06bIIlIOH nOCTaHOBHe arafioparopusrx axcnepaaeuron II He 6YAeM aaUllMaTbCH BbIIllCJleUlleM rpaexropna a HaiiA8M JIllWh BeJIllqUHY OTHJIOHeHllH nafaJIJIeJIbHOrO nysua aapmHeHHbIX IaCTI1~
B MarHllTHOM nOJJe I1peAnOJlOiHllM ITO B MOMeHT t = 0 CHOpOCTh qaCTHI~bI HanpaBJIelia no OCH x T C ITO npH t=O Vz=V Vy = V z = O OTHOCIITeJIbHO MarHllTHoro rrOJIH MbI nOJIOllillM ITO OHO nOCTOHllHO BO BpeMeHll HarrpaBJIe-HO no OCII y HO Bo06~e ronopa ueonuo- Z
pOAHO T e MomeT 6bITh aanacaao HaK X=X (z) Taxaa 06paaOM d18 x= 216z= 0 818 y = 2Jf) (x) =ftJ JJonycTllM IJTO none AeHcTByeT na nporazaenan 0 A = X
(pac 6) II IJTO aa paccrormaa OB = L noofime ronopa He paBHOM OA noxeshy ~~If 10 r ~aeTCH qJJIyopeCnllpYIO~llH axpan na HOTOpOM rrpOH3BOAllTCH llaMepeHlle 01shyHJIOHeHllH TaH HaH nOJIe Ha BceM nposhy PRC 6 Ilonoamrenrno aashyTHllieHllll HanpaBJIeHO rro OCII y TO COshy paaceiraas IaCTRla B Mal shy
HHTHOM noneCTaBJIHIO~aH CllJIbI Fu = e (vzftJx - vz J8z) panna HyJIIO H ABllmeHlle rrpollcxoAllT B rrJlOCHOCTll XZ I10CHOJIhHy Hac mrrepecyer OTHJIOHeHlle sacrnnra a He ee rpaerrropaa MbI BOCrrOJIbayeMcH TOJIhHO TpeTbllM aa ypasshyHeHllM (44) ECJIll OTHJIOHeHlle MaJIO TO C TOqHOCTbIO AO aerrashyIJllH nroporo nopanxa MaJIOCTll MOIHHO aa BceM nporamenaa nynl
dx u
rrOJIOllillTh v = V = dt AellCTBJITeJIhHOx
-- [ (V)2J1 2 [ 1 (V)2 JV = 11 v~ + v = Vx 1+ ~ = Vx 1+2 v + Vx
I1HTepeCYIO~ee Hac rperre JI3 ypaaaenaii (44) OIJeBHlJHO AaeT
d2z e d xdt2=mdtdiJ8 (45)
Tal HaH BTOpOH IJIeH crrpDBa paBeH HyJIIO d d dx
JJaJIee npaamraa BO BHllMaHlle ITO dt = dX dt MLI MOlHeM
uepenacan (45) B BllAe
dX) d x e dx rJJ(Jsd(dzs t ([i=mdt-
dxIIpOJIaBOAH coxpamaaae II aaMeHllB CHOBa dt IJepea I) nOJIyqJIM
~ (dZ) _s rJJ(Jd-e dx -mv bull
22 8JIEHTPOH aro 3APR)J M MACl~A [rHo I
I1HTepeCYIO~ee HaC OTKJIOHeHlIe Z MLl Han)]eM OTCIO)]a nnyxparshyUhIM HHTerpHpOBaHlIeM nepBoe HHTerpHpOBaHHe B npenenax QTdeg )]0 x llaeT
x
~~ - Q8 draquodx mv)
o
Bropoe aarerpapoaanae OT HyJIH )]0 1 (paccroaaas OT aaxana nOJIH )]0 axpaaa) )]aeT
I x
Z = ~v ~ dx ~ Q8 dx o 0
x
BhInOJIHIIM aarerpaposaaae no qaCTHM nonaraa U = ~ $0 dx o
H dv = dx nonysaa I I I
z=v l ~ $Odx - ~ XQ8dx =v ~ Q8(l-x)dx (46) o 0 O
B aTon ~opMyneuHTerpan
I
A - ~ $J (l-x) dx (47) o
ecrs OqeBII)]HO nOCTOHHHaH npatiopa TaK RaJ( ero BeJIlIqIlHa 8aBHCHT TOJIbRO OT HanpHmeHHOCTH nona Q8 (x) ero npOTHmeHIiH x H paCCTOHHHH 1 OT MeCTa BXO)]a aJIeKTpOHOB )]0 aapaaa nOJIb3YHCh 0603HaqeHHeM (47) HaXO)]UM
z=A~ (48)mv
B qaCTHOCTH eCJIH nOJIe O)]HOPOAHO (fIJ = const) H npocrapaerca OT x=O )]0 x=a a B HHTepBaJIe OT x=a )]0 x=l Q8=O T0
A=a (l - -i-) $8
HaKOHeu eCJIH oxpaa pacnozroarea BnJIOTHyIO y ROHua nomoshyCOB MarHHTa TO 1= a H
B O)]HOPO)]HOM nOJIe HanpaBJIeHHOM nepneH)]HKyJIHpHO R CROshypOCTH JIerKO HanTH H TpaeRTopHIO qaCTHULl B caMOM neae TaR RaK CHJIa Jlopenna acerna nepneH)]HKyJIHpna R V TO OHa MeHHeT TOJIhKO aanpaaaeaae CKOpOCTH HO He ee BeJIUqUHY
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
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PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
Ilepnaa Ta6JIIIlla 6hIJIa ony6JIlIROBaHa MeH)IeJIeeBhIM B 1869 r
R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
nOplI)IOR CJIe)lOBaHJllI Hepenxo 3TJI Jl3MeHeHII1I 6hIJIJI necsua cymeshy
CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
14013) aTOMHhIe neca ropaa JI ypaHa no )IaHHhIM roro BpeMeHJI
6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
MeCTa pOJDRHhI 6hITb 3aHHThI eme He OTRPhIThIMJI 3JIeMeUTaMJI
B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
pue OH Ha3BaJI 3Ha60pOM 3RaaJIIOMJlHJleM JI 3RaCJlJIHllJleM JI onacazr
JlX CBoHCTBa Bcxope nOCJIe aroro B 1875 r 6hIJI OTRphIT 3JIeMeHT
ua3BaHHhIfI raJIJIlI8M MeH)IeJIeeB TOTIaC me YRa3aJI na TO ITO raJIJIJlH
JI ecrr rrpencxaaaumrti JIM 3HaaJIIOMJlHJlH JI ITO OH pOJImeH JlMeTb aTOMshy
UhIH nee OROJIO 68 y)leJIbHhIH sec 60-59 JI aTOMHhIIf 061gteM 115 Ha caMOM )IeJIe -aToMHhIH aec raJIJIlIlI ORa3aJIClI paBHhIM 699 ynernshy
HhIH nee 596 II a TOMHhIH 061gt eM 117 OCHOBHOH epaRT 113 xoroporo IICXO)lJlJI p YI MeH)IeJIeeB npJl
nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
TO 3JIeMeHThI C aHaJIOrHIHhIMH CBOHCTBaMlI nepllO)IIIIeCHlI nOBTOshy
pHIOTClI MCXO)lR 113 aroro eMy ynanocs nOCTpOIlTb laquoeCTeCTBeHshy
UYIO CIICTeMY 3JIeMeHTOBraquo xoropaa ORa3aJIaCb npaBIIJIbHOH Heshy
CMOTpH aa TO ITO aTOMHhIH nee HaR BhIHCHIIJIOCb BnOCJIe)lCTBIIII_
A TOMbI H30TOITbI [roll II
He MomeT CqHTaTbCH HOHCTaHTOH 0)H03HatIHO onpenenmomea IIH)HBH)yaJIbHbIe CBOHCTBa aTOMa AeHCTBHTeJIbHO HHme MbI YBH)lIM
ITO cyrneCTBYIOT aemecraa xoropsre B XlIMlItIeCHOM OTHomeHlIlI nenyr
ce6H npaHTlItIeCHH o)lIHaHoBbIM 06pa30M aecaorpa na TO ITO lIX
ATOMHbIe neca pa3JIlItIHbI Taxae nemecrna Ha3bIBaIOTCH usomonauu TaH HaH BCJIe)CTBlIe lIX XlIMlItIeCHOH Tom)eCTBeHHOCTlI lIX He06xo)lIMO
IIIQMernaTb ua O)HO II TO me MeCTO B nepaonasecxon ClICTeMe (CJIOBO
laquoH30TOnbI) B 6yHBaJIbHOM nepenone C rpesecreoro oaaasaer laquo3aHlIMaIOshy
1U1Ie O)HO II TO me MeCTO)) XlIMlItIeCHlIe 8JIeMeHTbI aa caMOM neshy
JIe HBJIHIOTCH CMeCHMlI 1I30TonOB a HX aTOMHbIe seca onpezrenaeshy
MbIe 06bItIHbIMlI XlIMlItIeCHlIMlI MeTo)aMlI-cpe)HlIMlI 1I3 aTOMHbIX
BeCOB ncex otipaayionrax lIX 1I30TorrOB Hapany C aTOMaMlI 06JIashy
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
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90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
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39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
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54 ATOMbI M30TOrrbI [NI II
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JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
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~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
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2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
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C
-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
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sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
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HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
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PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
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39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
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3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
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II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
I 4] nBHmEHHE BJIEHTPOHA B BJIEHTPHIECHOM H MArHHT nOJIfiX 23
nOBToMy BJJeHTpOH 6y)JeT nnararrca no oxpyxcaocra pa)JHYC ROTOpOH p MLI Han)J8M npapasaanaa nopennoay ClIJJY ev(jJJ nearposhy6emHoH ClIJJe HHepDMlI
ev(jJJ = mv 2
p
OTRylJ1l mv 1
(49)P=eQff)
BLIlMCJJlIM reneps OTRJJOHeHlIe aapaaceaaoii laCTMDLI B nonepesshyHOM BJJeRTpOCTaTHleCROM none nYCTb nonpeacaexy CROpOCTIgt laCTlIDLI B MOMeHT BXO)Ja ee B npOCTpaHCTBO Mem)Jy nJJaCTlIHaMH xoanencaropa 6y)JeT aanpasneaa no z OClI z a nOJJe xonaencaropa-e-uanpaa-JIeHO no OCB Z Bce OCTaJIbHLIe YCJIO-BHa MLI coxpaaaex npemHHMH (pacZ)
1-+-1 middot1TaR RaR X=O TO (42) naer mv=eG
~ IlpHlIMaH 130 BHlIMaHlIe ITO ~ z = t= ~ y = 0 ~ = ~ noaysaea CJIellYIOshy
mae TpH CRaJIHpHLIX ypaBHeHHH 71+++
dJx dJy d2z mdt2 =0 =0 m dt2 =e~
-xshym dt2 PIIC 7 llOJIOlRIITeJIhHO aapashylReHHalI lJaCTIIIJ8 IJ anearposhy
)JJIH MaJILIX OTRJIOHeHHH RaR CTaTIIlJeCKOM nOJIe
II paasme MOiRHO np1I6lJHmCHHO noshy dx
JIOmHTb ITO nee BpeMH V- dt H )JJIH BLIllICJIeHIIH OTRJIOHeHHa
BOCnOJJbaOBaTbCH TOJlbRO TpeTbHM ypanneaaea
d2z m dt 2-=e~ (410)
3aMelaH ITO
d 2z a d
2zd (dZ) d (dZ dX) dx
dt2 = de de = dx dX dt dt = V dx 2
IILI MOIHeM nep enacarr ypanaeaae (410) B BB)Je
d 2z __e_~ dx2-mvmiddot
I1HTerplIpya )JBa paaa COBepmeHHO TaR me RaR H paasme HaXO)JHM
I z I
Z = v 2 ~ dx ~ ~dx = va 5(l- x) lldx o 0 0
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
-8
$
C
-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
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11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
24 I 8JIEHTPOH ErO 3APRD 11 MACCA [III
1
lIJIH 060aHaQalI ~ (l- X) ~dx=BJ(npHQeM B HaH H pauee BBe~eHshyo
Hall nOCTOlIHHalI A 6ylJeT nocTolIHHOH npafiopa) HMeeM
z=~B (411)mv B qaCTUOCTII eCJlH ~JIIIHa nJIaCTlIH nonneacaropa panna b II
nOJIe O)HOPO~HO (~ = const) TO nenocpencraeaaoe IIHTerplIpOBaHlIe
~aih
IIJlH npa l=b
(412)
sect 5 3HeBTpoH B npoAoHbHOM 9HeRTpOCTSTUqeCBOM nOHe
Paccaorpau aaaonen ~BlIlReHlIe SJIeHTpOHa B SJleHTpOCTaTIIshy
qeCHOM nOJIe COBnaAaIOIIJeM C aanpaaneaaea mmmemm TIYCTb STO
6y~eT aanpaaneaae OCII x Toraa ~z=~ ~Y=~2==middot0 CHaJIlIpUOe
ypasueaae pBlImeUlIlI
d2x m dt 2 =e~ (51)
dx llttLl nepenanrea aaxeaaa dt sepea v B BH)]e
dv m dt =e~ (51)
dv 1 d (v2)YMHOlRHM 06e qaCTH (51) ua v H aaxesas qTO v ([i=2([t nOJIyqllM
d (mv2 ) (52)dt T = e~l)
ECJIB 0603UaqHTb nOTeUIJHaJl SJIeHTplIqeCHOrO nOJIlI xepea ep TO d-p
~ = ~z= -IX TIOSTOMy
d~ dx d~ ~v = - dx dt = - Cit
II (52) npRUHMaeT BR)]
d (mv~ d~ )d (mv2
dt T)= - e dt RHO dt -2- + eltp =0
oTHy)]a
mv2
-2- + eep = const (53)
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
-8
$
C
-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
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21 11 00 S
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lJ Macca (l nOlroMY sootime roaopn
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m=mm+Ci=m+ 2acs
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A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
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MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
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MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
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nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
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mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
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c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
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nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
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sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
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Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
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PRe 23 IIeplIOpllQROCTb ltpH31IQeCKlIX CBOHCTB BepXHIUJ KpHBaR-06paTRbIe
1 kk bullTeMIIepaTypbI nJIaBJIeHlIlJ T 104 CpepHRIJ xpaaaa - K09iilIIWeHT JIlIReUHOro
pacmapeaaa ~ 10amp HII)ltRRIJ KplIBalJ-K09centicentiHIHeHT ClRHMaeMOCTH lCmiddot 106 bull
B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
CTBaMH ITo Mepe nponaaareaaa nnpaao 06a aTH CBOMCTBa aaMeTHO
OCJIa6JIHIOTCH H nOCTeneHHO npOHBJIlUOTCH CBolIcTBa npOTHBOnOJIOmshy
mre HaROHe~ geBHTMH aJIeMeHT-ltpTop-ORaaMBaeTCH aarunonou
JIHTHfI OH flBJIHeTCfI THnHqHMM MeTaJIJIOH)JOM H 06JIagaeT peSRO
BLIpamemrnMH RHCJIOTHMMH CBolIcTBaMH IJaJIee cnenyer 6JIaropogshy
BLIH raa HeOH a aa HHM lI(eJIoqHOlI MeTaJIJI HaTpHH (M 11) II BCH
xaprana npezrsmymero nepaona nOBTopHeTCH TaR qTO xepea aoceus 3JIeMeHTOB (CqHTaa H HaTpHH) MM BHOBb ncrpeaaea lI(eJIOqHOH MeTaJIJI
RaJIHH ROTOpOMy npenmecrnyet 6JIaropogHMlI raa apron (M 18) Ilepexon OT THnHqHMX MeTaJIJIOB R THnHqHMM MeTaJIJIOHAaM rrpoacxoshy
nHT xepea laquoaMltpoTepHMHraquo aJIeMeHT-RpeMHnlI (M 14) ROTOpMit 06shy
zranaer gByMfI MogHltpHRa~HHMHMeTaJIJIHqeCROlI H HeMeTaJIJIHqeCROB
-- ---
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T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
~
18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
shy
18j BHCIIEPMMEHTAJIhHhIE MEFOIJhI OIlPEIJEJI YzJEJIbH 3APRIJA 2amp
yenpaBHeHlIe (53) asrpaxcaer 3aHOH coxpaaenaa aaepraa TaH
Hawecp ecrr nOTeHlJHaJIhHaJI 3HeprHJI aapJIIJ8 e B TOqHe nOJIH C
nOTeHulIaJIOM cp ECJIlI aapJIIJ uepexemaerca 113 TOqHH C nOTeHlJHashy
JIOM CPI B TOqHY C nOTeHlJHaJIOM CPa 11 CPI - ltPa = V TO mv~ mv~ ( ) V-2- - -2- = e ltPI - CPa == e
TIPll VI = 0 llMeeM 2=eV
mv 2
(54)
06L1qHO pa3HOCTb nOTeHlJlIaJIOB 113MepJIeTCH B BOJIbTaX B TaHOlrl
CJIyqae
m~ ~ 2 =300 bull (54 )
B aTOMBOH lflIl3HHe aaepraro oxeas qaCTO BLipamaIOT B 9JIeHTpOHshy
BOJIbTax 1 eV ecrr Ta 3HeprHH HOTOpyIO npaoriperaer 9JIeHTpOH
npofieraa yCHOpJIIOIlJyro pa3HOCTb nOTeHlJHaJIOB B 1 V D3 (54) nOJIyqaeM
8lmiddot10-I Omiddot1
1 9JleHTpOH-BOJIbT = 300 = 16010-19 apr
8HeprIlJI B 1 eV paCCqIlTaBHaJI aa N =60231023 (1 MOJIb) 3JIeRTshy
pOHOB panaa
1 9JIeHTpOH-BOJlbT bullMOab-I = 9641011 epe-MOab- 1 =
= 230410~ liaaMoab-1 =
= 2304 llllaamiddotMoAb-1 bull
ECJIIil 113BeCTHa aaepraa 9JIeHTpOBdB asrpaseeaaaa B 3JIeHTpOBshy
BOJIbTaX TO CHOpOCTb V B eMcell MOMHO HenOCpeIJCTBeHBO BLIshy
1JIilCJIIilTb lila (54) ev -shy
v=v m150 =593107 V V BOJIbT (55)
sect 6 3RcnepUMeBTalJILBLIe MeTOALI onpeAeJIeBBJI YAeJILBOrO aapans
B OCHOBe 3HCnepHMeHTaJIbHLIX MeTOIJOB onpeIJeJIeHHJI elm nescar
peaymrarra HCCJIeIJOBaHHJI IJBHmeHlIJI 3JIeHTpOHa B 3JIeHTpHqeCHHJ
H MarHHTHLIX nOJIJIX BLinOJIHeHHOro HaMH B npeIJIIIecTByIOIIJHX
uBYX naparpa-pax
Heofixonaxo OIJHaHO HMeTb B BHIJy qTO HaH B cnyxae 3JIeHTpllshy
qeCHOrO TaH H B cay-rae MarHHTHoro nOJIJI OTHJIOHeHHe B nouepesshy
HOM nOJIe aaBHCHT He TOJIbHO OT elm HO H OT v MarHHTHoe OTHJIOshy
HeHHe onpeIJeJIJIeTCJI llaRTopOM elmo a 9JIeRTpHqeCRoe-llaRTopOM
elmo IIO3ToMyonLiT C OTHJIOHeHH8M B RalWM-JIH60 OIJHOM nOJIamp
eme He IJaeT B03MomHOCTll BaiTH elm
26 3JIEHTPOH ero 3APHA II MACCA l rJI I
B nepnsrx patiorax (MoTonIJm Am TOMcoHa) 06LIIHO rrOCJIonOBashy
TOJIbHO lf3MepflJIH OTRJIOHeHlfe B TOM H npyroM nonax H lf3 nBYX ypasshy
u eunii (48) H (411) cpaay BLIlIlfCJIHJIH elm H v Il pn 810M rrYlIIUI
anem-pouoa OCY~OCTBJIHJIHCb B BlfnO HaTonHbIX JIylIeii B rpyfiuax ~ C pa3pomellHLIMH raaana (naBJIeHHO nopanxa HOCKOJIbKlfX COTLIX
MM Hg) Pa3BHTHo TOXHlfIUI rrOJIylIoHHH BaKyyMa aa nOCJIenHHe
nOCHTHJIOTnH noason aer npOH3BonHTb 3TH lf3MepOlIlfH B 60JIee onpeshy
nOJIeUHbIX H JIylIlIIO KOHTpOJIHpyOMLIX yCJIOBHHX Ha pHC 8 npenshy
crannena cxejaa COBpeMOHHoro upnfiopa nJIH onpenezrenaa elm H v no MeTOny TOMCOHa HaKaJIHBaeMbIlI KaTOn K nOMo~eHHbIHB rpyfiny
OTKalIaHHYIO 110 npenezra nonycKaeMoro cOBpeMeHHoH TexHHKoH
J +~ IJ_ shy
1
gK
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-1111111111+ 8
PIIC 8 Cxeua MeTOJa onpeneaenan YJeJIbHOro sapana no OTImOHemiIO TpIFleCIWM If MarHIiTHOM nOJIllX
BaKyyMa HBJIffeTCH 06HJIbHbIM HCTOlIHHKOM 9JIeKTpOHOB 8TH 9JIOKshy
TpOHbI yCKOpHlOTCH 6aTapeH B 1 nOJIOmHTeJIbHbIH nOJIIOC KOTOpOlI npashy
coenHHeH K MelaJIJIHIJeCKOH nJIaCTlIHKe (auony) A B noHTpe KOTOpOH
HMeeTCH OTBopcTHe 8JIeHTpOHLI rrponrenmao IJOpe3 9TO oraepcrne
qBHraHcb npflMOJIHHeHHO na1OT aa CTeHKe Tpy6IUI S nOKpbITOH
qlJIyopeC~HpYIO~HMBemeCTBOM CBOTJIOe nHTHbImKO F pacnoaoaeeashy
aoe npOTHB 01BepCTHH B aaone A Ha nYTH Momqy A H F 9JIeKshy
TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
pHTb 06a OTKnOHeHHH TO npH nOMOmH ypaaaenaii (48) H (411) M01KHO BbIlIHCJIHTb elm H v U paKTHlIecKH YA06Hee npocro KOMneHCHshy
posarr MarHlITHblM nOJIOM nepBOHaIJanbHOO 3JIeKTpOCTa THQeCKOe OTshy
KJIOHeHHe B 9TOM cnysae He06xoqHMble H3MopeHHH CBOqHTCH K TOlIshy
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
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nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
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np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
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or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
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CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
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IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
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R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
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CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
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6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
MeCTa pOJDRHhI 6hITb 3aHHThI eme He OTRPhIThIMJI 3JIeMeUTaMJI
B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
pue OH Ha3BaJI 3Ha60pOM 3RaaJIIOMJlHJleM JI 3RaCJlJIHllJleM JI onacazr
JlX CBoHCTBa Bcxope nOCJIe aroro B 1875 r 6hIJI OTRphIT 3JIeMeHT
ua3BaHHhIfI raJIJIlI8M MeH)IeJIeeB TOTIaC me YRa3aJI na TO ITO raJIJIJlH
JI ecrr rrpencxaaaumrti JIM 3HaaJIIOMJlHJlH JI ITO OH pOJImeH JlMeTb aTOMshy
UhIH nee OROJIO 68 y)leJIbHhIH sec 60-59 JI aTOMHhIIf 061gteM 115 Ha caMOM )IeJIe -aToMHhIH aec raJIJIlIlI ORa3aJIClI paBHhIM 699 ynernshy
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nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
TO 3JIeMeHThI C aHaJIOrHIHhIMH CBOHCTBaMlI nepllO)IIIIeCHlI nOBTOshy
pHIOTClI MCXO)lR 113 aroro eMy ynanocs nOCTpOIlTb laquoeCTeCTBeHshy
UYIO CIICTeMY 3JIeMeHTOBraquo xoropaa ORa3aJIaCb npaBIIJIbHOH Heshy
CMOTpH aa TO ITO aTOMHhIH nee HaR BhIHCHIIJIOCb BnOCJIe)lCTBIIII_
A TOMbI H30TOITbI [roll II
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ce6H npaHTlItIeCHH o)lIHaHoBbIM 06pa30M aecaorpa na TO ITO lIX
ATOMHbIe neca pa3JIlItIHbI Taxae nemecrna Ha3bIBaIOTCH usomonauu TaH HaH BCJIe)CTBlIe lIX XlIMlItIeCHOH Tom)eCTBeHHOCTlI lIX He06xo)lIMO
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laquoH30TOnbI) B 6yHBaJIbHOM nepenone C rpesecreoro oaaasaer laquo3aHlIMaIOshy
1U1Ie O)HO II TO me MeCTO)) XlIMlItIeCHlIe 8JIeMeHTbI aa caMOM neshy
JIe HBJIHIOTCH CMeCHMlI 1I30TonOB a HX aTOMHbIe seca onpezrenaeshy
MbIe 06bItIHbIMlI XlIMlItIeCHlIMlI MeTo)aMlI-cpe)HlIMlI 1I3 aTOMHbIX
BeCOB ncex otipaayionrax lIX 1I30TorrOB Hapany C aTOMaMlI 06JIashy
)aIOrnlIMlI onem 6JI1I3HlIMlI CBOHCTBaMlI npn pa3JIlItIHbIX aTOMHbIX
necax cymecmyror raroxe aTOMbI 06JIa)aIOrnlIe pa3JIHtIHbIMlI CBOHshy
ClBaMlI npa O)lIHaHOBbIX aTOMHbIX necax (1I306apbI CM T II rn XVIII)-
TaH HaH O)HaHO rrepaona-recxaa ClICTeMa 8JIeMeHTOB OHa3aJIaCb
npaBlIJIbHOH TO ee CJIe)yeT paCCMaTplIBaTb HaHmiddot~YH)aMeHTaJIbHbIH 3aHOH npaporna He3UBlIClIMO 01 roro HaHlIM rryTeM OHa 6bIJIa OTHpbITa
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lyrnecTBeHHbIH np1I3HaH amoua OCHOBHOH xapaHTeplICTHHOH 8JIeshy
MeHTa HBJIHeTCH ero nOJIOmeHlIe B neplIO)lItIeCHOH ClICTeMe a 810
nOJIOmeHlIe onpenerraerca HOMepOM MeCTa 3aHlIMaeMoro )aHHbIM
meMeHTOM B Ta6JIlI~e Meaneneena rJIy60HaH npanaaa BamHOCTlI
aroro qlICJIa naaraaaesroro amOMHb~M HOMepOM COCTOlIT B TOM ITO
OHa HBJIHeTCH na caMOM nene He rrpOCTO rropH)HOBbIM HOMepOM
HO O)HOH H3 OCHOBHbIX gJuaU1ieCXUX HOHCTaHT aTOMa HaH 810 6y)eT
nOHa3aHO B )aJIbHellrn8M
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npa nOMOrnH aTOMHbIX BeCOB OCHOBaHa aa CJIe)YIOrneM 3aMeqaTeJIbshy
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onpenenaesnaa XlIMHqeCRlIMlI MeTo)aMlI II HBJIHIOrnlIMCH cpe)HHM 1I3
aTOMHbIX BeCOB ncex 1I30TorrOB naanoro 8JIeMeHTa TO Mem)y 8THM
cpe)HIIM aTOMHbIM BeCOM II aTOMHbIM HOMepOM cymecrnyer npocraa
MOHOTOHHaH 3aBlIClIMOCTb (pIIC 21) B HeMHorlIX CJIytIaHX aorna
810 COOTBeTCTBHe lIapyrnaeTcH (K-Ar Te-middotJ Co-Ni) Meaneaeen C reHlIaJIbHOH HHTYH~HeH paCrrOJIOmlIJI 8JIeMeHTbI npanarrsno
nonpexa HX aTOMHbIM necax
Ha pHC 22 II 23 rrpa aenema aexoroprae npauepu nepaonasecnoro
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06LeMOB no OCII aticnacc OTJIOmeHbI aTOMHbIe noaepa no OCII 0P)Hshy
aTOMHbIH nee ) 23 HaT-aTOMHbIe 06LeMbI (= na pac npe)CTaBJIeH
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aa O)HOH )lIarpaMMe XO) HeCHOJIbHlIX ~1I3HtIeCHHX CBOHCTB B 3ashy
BIIClIMOCTlI 01 aroaaoro aoxepa a HMeHHO-BepXHHH HpHBaH paeT
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middot~ _- J
ita] OEPHO)lI1ECHAH CI1CTEMA 8JIEMEHTOB IJ H MEHIJEJIEEBA 49
XOA H09ltJltJIlIJlleHTOB JIllHeHHOro pacmapenaa II HllmHHH-cmllMaeshy
middot~JiIOinl Bll~HO ITO nee ara CBOHCTBa He rozirxo HcnLITLIBaIOT nepaoshy
~BqeCRlle 113MeHeHllH npa MOHOTOHHOM soapaoraaaa arounoro aouepa (cpezurero aroaaoro neoa) HO ITO MaRcHMyMLI H MHHlIMYMhI Y Bcex
ZIIO
230
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1 210
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pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
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44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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22605223 22705 X~Q
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11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
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58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
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54 ATOMbI M30TOrrbI [NI II
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sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
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sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
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TpOHbI npoxortar Memqy nJIaCTHHRaMH xonnencaropa CD R KOTOpblM
MOiKeT 6b1Tb npUJIOmeHO nanpnzaeuae OT 6aTapOH B ECJIH BRJIIOshy
lIHTb 6aTape1O B 2 TO nysox 3JIeHTpOHOB OTKJIOHHOTCH 3JIeKTpHshy
lIeCKHM nOJIeM B03HHKalO~HM Me1lqy nJIaCTHHKaMH H nHTHLIIIlKO
nepexemaercn B nOJIOmeHHe F C03naBaH Momny IIJIaCTHHKaMH xoanencaropa CD TaKme H OqHOshy
porraoe MarHHTHoe nOJIe nepnerrmraynnpnoe K nJIOCKOCTH lIepTema
(Ha pHCyHK8 nOKa3aHO TOIJKaMlf) MomHO BbI3BaTb OTKJIOHeHlfe
nHTHblIIIKa B lOM mo HJIH B 06paTHoM HanpaBJIOHIUI ECJIH H3Me~
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COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
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nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
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np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
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or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
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CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
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IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
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R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
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CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
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6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
MeCTa pOJDRHhI 6hITb 3aHHThI eme He OTRPhIThIMJI 3JIeMeUTaMJI
B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
pue OH Ha3BaJI 3Ha60pOM 3RaaJIIOMJlHJleM JI 3RaCJlJIHllJleM JI onacazr
JlX CBoHCTBa Bcxope nOCJIe aroro B 1875 r 6hIJI OTRphIT 3JIeMeHT
ua3BaHHhIfI raJIJIlI8M MeH)IeJIeeB TOTIaC me YRa3aJI na TO ITO raJIJIJlH
JI ecrr rrpencxaaaumrti JIM 3HaaJIIOMJlHJlH JI ITO OH pOJImeH JlMeTb aTOMshy
UhIH nee OROJIO 68 y)leJIbHhIH sec 60-59 JI aTOMHhIIf 061gteM 115 Ha caMOM )IeJIe -aToMHhIH aec raJIJIlIlI ORa3aJIClI paBHhIM 699 ynernshy
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nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
TO 3JIeMeHThI C aHaJIOrHIHhIMH CBOHCTBaMlI nepllO)IIIIeCHlI nOBTOshy
pHIOTClI MCXO)lR 113 aroro eMy ynanocs nOCTpOIlTb laquoeCTeCTBeHshy
UYIO CIICTeMY 3JIeMeHTOBraquo xoropaa ORa3aJIaCb npaBIIJIbHOH Heshy
CMOTpH aa TO ITO aTOMHhIH nee HaR BhIHCHIIJIOCb BnOCJIe)lCTBIIII_
A TOMbI H30TOITbI [roll II
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ce6H npaHTlItIeCHH o)lIHaHoBbIM 06pa30M aecaorpa na TO ITO lIX
ATOMHbIe neca pa3JIlItIHbI Taxae nemecrna Ha3bIBaIOTCH usomonauu TaH HaH BCJIe)CTBlIe lIX XlIMlItIeCHOH Tom)eCTBeHHOCTlI lIX He06xo)lIMO
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laquoH30TOnbI) B 6yHBaJIbHOM nepenone C rpesecreoro oaaasaer laquo3aHlIMaIOshy
1U1Ie O)HO II TO me MeCTO)) XlIMlItIeCHlIe 8JIeMeHTbI aa caMOM neshy
JIe HBJIHIOTCH CMeCHMlI 1I30TonOB a HX aTOMHbIe seca onpezrenaeshy
MbIe 06bItIHbIMlI XlIMlItIeCHlIMlI MeTo)aMlI-cpe)HlIMlI 1I3 aTOMHbIX
BeCOB ncex otipaayionrax lIX 1I30TorrOB Hapany C aTOMaMlI 06JIashy
)aIOrnlIMlI onem 6JI1I3HlIMlI CBOHCTBaMlI npn pa3JIlItIHbIX aTOMHbIX
necax cymecmyror raroxe aTOMbI 06JIa)aIOrnlIe pa3JIHtIHbIMlI CBOHshy
ClBaMlI npa O)lIHaHOBbIX aTOMHbIX necax (1I306apbI CM T II rn XVIII)-
TaH HaH O)HaHO rrepaona-recxaa ClICTeMa 8JIeMeHTOB OHa3aJIaCb
npaBlIJIbHOH TO ee CJIe)yeT paCCMaTplIBaTb HaHmiddot~YH)aMeHTaJIbHbIH 3aHOH npaporna He3UBlIClIMO 01 roro HaHlIM rryTeM OHa 6bIJIa OTHpbITa
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lyrnecTBeHHbIH np1I3HaH amoua OCHOBHOH xapaHTeplICTHHOH 8JIeshy
MeHTa HBJIHeTCH ero nOJIOmeHlIe B neplIO)lItIeCHOH ClICTeMe a 810
nOJIOmeHlIe onpenerraerca HOMepOM MeCTa 3aHlIMaeMoro )aHHbIM
meMeHTOM B Ta6JIlI~e Meaneneena rJIy60HaH npanaaa BamHOCTlI
aroro qlICJIa naaraaaesroro amOMHb~M HOMepOM COCTOlIT B TOM ITO
OHa HBJIHeTCH na caMOM nene He rrpOCTO rropH)HOBbIM HOMepOM
HO O)HOH H3 OCHOBHbIX gJuaU1ieCXUX HOHCTaHT aTOMa HaH 810 6y)eT
nOHa3aHO B )aJIbHellrn8M
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npa nOMOrnH aTOMHbIX BeCOB OCHOBaHa aa CJIe)YIOrneM 3aMeqaTeJIbshy
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onpenenaesnaa XlIMHqeCRlIMlI MeTo)aMlI II HBJIHIOrnlIMCH cpe)HHM 1I3
aTOMHbIX BeCOB ncex 1I30TorrOB naanoro 8JIeMeHTa TO Mem)y 8THM
cpe)HIIM aTOMHbIM BeCOM II aTOMHbIM HOMepOM cymecrnyer npocraa
MOHOTOHHaH 3aBlIClIMOCTb (pIIC 21) B HeMHorlIX CJIytIaHX aorna
810 COOTBeTCTBHe lIapyrnaeTcH (K-Ar Te-middotJ Co-Ni) Meaneaeen C reHlIaJIbHOH HHTYH~HeH paCrrOJIOmlIJI 8JIeMeHTbI npanarrsno
nonpexa HX aTOMHbIM necax
Ha pHC 22 II 23 rrpa aenema aexoroprae npauepu nepaonasecnoro
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06LeMOB no OCII aticnacc OTJIOmeHbI aTOMHbIe noaepa no OCII 0P)Hshy
aTOMHbIH nee ) 23 HaT-aTOMHbIe 06LeMbI (= na pac npe)CTaBJIeH
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aa O)HOH )lIarpaMMe XO) HeCHOJIbHlIX ~1I3HtIeCHHX CBOHCTB B 3ashy
BIIClIMOCTlI 01 aroaaoro aoxepa a HMeHHO-BepXHHH HpHBaH paeT
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middot~ _- J
ita] OEPHO)lI1ECHAH CI1CTEMA 8JIEMEHTOB IJ H MEHIJEJIEEBA 49
XOA H09ltJltJIlIJlleHTOB JIllHeHHOro pacmapenaa II HllmHHH-cmllMaeshy
middot~JiIOinl Bll~HO ITO nee ara CBOHCTBa He rozirxo HcnLITLIBaIOT nepaoshy
~BqeCRlle 113MeHeHllH npa MOHOTOHHOM soapaoraaaa arounoro aouepa (cpezurero aroaaoro neoa) HO ITO MaRcHMyMLI H MHHlIMYMhI Y Bcex
ZIIO
230
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1 210
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190
180
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gt~ ISO
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120
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T e ITO see 9TH CBOHCTBa 06HapymHBaIOT of)unaK06Y1O nepHO~HIshy BOCTb
BHeIDHHe ltJOpMLI ROTopLIe MoryT 6LITb npH~aHLI eCTeCTBeHHoii
CHCTeMe 9JIeMeHTOB aecsxa pa3Ho06pa3HLI Ha1I60JIee pacnpocrpashy
ueHHLIMH HBJIHIOTCH Ta6JIllIJLI ~BYX BH~OB-C ~JIHHHLIMH H ROpOTRHMl
a B muelJLcRIIA T I
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sect 13] nEPllOpnQECRAH CllCTEMA 8JIEMEHTOB p n MEHPEJIE EBA 51
nepHogaMH TeOpeTHqeCRH 60JIee 06ocHoBaHa Ta6JIH~a C gJIHHHMMH
nepaonaxn (Ta6JIH~a II na CTp 52) Paccxorpaa nOCJIegoBaTeJIbHMe pHAM aTOM Ta6JIH~M ITepBMlI
pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
aJIeMeHTOM BOgOPOgOM H saRaHqHBaeTCH 6JIaropogHMM raaox reJIHeM
TPeTHM aJIeMeHT-JIHTHlI-CHoBa OAHOBaJIeHTeHj OH HBJIHeTCH THnHqshy
HMM MeTaJIJIOM H 06JIaAaeT peSRO BMpameHHMMH lI(eJIOqHMMH cBOlIshy
Al)O_---ltgt- _-00- oa
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o 10 30 JIJ 10 50 60 llJ SIJ I1mUHHblli HOjep
PRe 23 IIeplIOpllQROCTb ltpH31IQeCKlIX CBOHCTB BepXHIUJ KpHBaR-06paTRbIe
1 kk bullTeMIIepaTypbI nJIaBJIeHlIlJ T 104 CpepHRIJ xpaaaa - K09iilIIWeHT JIlIReUHOro
pacmapeaaa ~ 10amp HII)ltRRIJ KplIBalJ-K09centicentiHIHeHT ClRHMaeMOCTH lCmiddot 106 bull
B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
CTBaMH ITo Mepe nponaaareaaa nnpaao 06a aTH CBOMCTBa aaMeTHO
OCJIa6JIHIOTCH H nOCTeneHHO npOHBJIlUOTCH CBolIcTBa npOTHBOnOJIOmshy
mre HaROHe~ geBHTMH aJIeMeHT-ltpTop-ORaaMBaeTCH aarunonou
JIHTHfI OH flBJIHeTCfI THnHqHMM MeTaJIJIOH)JOM H 06JIagaeT peSRO
BLIpamemrnMH RHCJIOTHMMH CBolIcTBaMH IJaJIee cnenyer 6JIaropogshy
BLIH raa HeOH a aa HHM lI(eJIoqHOlI MeTaJIJI HaTpHH (M 11) II BCH
xaprana npezrsmymero nepaona nOBTopHeTCH TaR qTO xepea aoceus 3JIeMeHTOB (CqHTaa H HaTpHH) MM BHOBb ncrpeaaea lI(eJIOqHOH MeTaJIJI
RaJIHH ROTOpOMy npenmecrnyet 6JIaropogHMlI raa apron (M 18) Ilepexon OT THnHqHMX MeTaJIJIOB R THnHqHMM MeTaJIJIOHAaM rrpoacxoshy
nHT xepea laquoaMltpoTepHMHraquo aJIeMeHT-RpeMHnlI (M 14) ROTOpMit 06shy
zranaer gByMfI MogHltpHRa~HHMHMeTaJIJIHqeCROlI H HeMeTaJIJIHqeCROB
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T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
~
18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
sect 7] METO)] )]BYX ROH)]EHCATOPOB 1-7
HOMy orrpenenemno HarrpHiR8HHOCTeii ofioax rrOJIOll-meRTpHlIeCROrO 1I MarHlI1HOIO
IIpellMylQeCTBO lICIIOJIhaOBaHHH nycrornux Tpy60R 1I ropaxax Ra1ogoB rrepeg CTapblMlI Me1ogaMlI rge lIaMOpeHlIH IIpollaBogllJIllCh Hag xaronasraa JIYlIaMlI D paapeaeenaoa raae COCTOllT B TOM lITO B nycrorusrx rpyrixax Mbl lIMeeM BoaMomHOCTh ynpaanarr CHOpOCTblO SJIeHTpOHOB B rpyfinax C paapemeHHbIM raaon 1I XOJIOgHblM Ha1OshygOM SJIeHTpOHbl oCBo60mgaI01cH non BJIlIHHlIeM 60M6a pnaponxa uarona rrOJIOmllTeJIhHblMlIlIoHaMH H CHOpOCTh lIX aaUHCHT 01 CJIOmHblX yCJIOBHit pacrrpegeJIeHlIH rrOTeHDlIaJIa B paapeaceaaoa raae HanposhyTlIB B nycrorusrx rpyfiaax npa HarpeBaHlIlI xarona SJIeR1pOHbl BblgeshyJIHIOTCH COlleHh MaJIblMlI CHOpOCTHMlIlI yCHOpHIOTCH 1l0JIeM6aTa pea B2 TaRHM ofipaaosr 06a nponecca -BblgeJIeHlIe SJIeHTpOHoD 1I lIX yCHOshypeHlIo-He aaBHCHT gpyr OT gpyra 1I 06a OHlI rronnaiorca ROHTpOJIIO sRcllepllMeHTaTopa
laH CHaaaHO nsmre naaansnsre CHOpOCTlI SJIeHTpOHOB oCB060shymgaeMblx as ropaxero rcarona MaJIbl Hanpaxep eCJIH xaronoa CJIyshymllT BOJIhqgtpaMOBaH cnapans narperaa go 2400deg K TO ncero JIlIlIIh 01deg10 SJIeHTpOHoB 06JIagaIOT aaeprnea npeaocxonamea 142 SJIeRshyTpOH-BOJIbTa II 00001 -sHeprlleit npenocxonamea 285 SJIeHTpOHshyBOJIhTa ECJIH noaroxy ycxoprnomee none He CJIlIlIIHOM cJIa60 TO MomHO CllllTaTh C llOCTa1olIHoit TOllHOCThIO lITO HaqaJIhHaH CHOshypOCTh ocnofiozanaeasrx SJIeRTpOHOB panna nyJIIO IIYCTh paaaocrs rrOTeHDlIaJIOB Memlly RaTOllOM 1I aaonou (aanpaaep MeilllY K II A na pac 8) panna V BOJIhT Torna oHOHlIaTeJIhHYIO CROpOCTh SJIeRTpOshyHOB Mbl HaXOllHM na ypanaeaaa
mv2 eV [lt54)2=300middot
IIOS1OMy aaaa V Mbl yare aaaea H CHOpOC1h SJIeRTpoHoB 810 OCBOshy60mllaeT Hac 01 He06xollHMOCTlI lICrrOJIhaOBa1h 1I anexrpasecaoe 1I MarHH1Hoe OTHJIOHeHlIH llJIH HaXOmllOHlIH elm 1I v )JOCTaTOllHO BOCrrOJIhaOBaThCH JI1I60 SJIeHTplllleCHlIM JI1I60 MarHlITHblM 1l0JIeM nropoe ypanaeuae ncerna naer qgtopMyJIa (54)
B CJIegYIOlQlIX napar-patpax Mbl IIpllBegeM aa 60JIhlIIOrO nncna COBpeMeHHblX MeTogoB onpenerrenan ynensaoro aapana nna Ha1l60JIee xapanrepnux B nepnoa rrpaaeaaerca SJIeRTplllIeCHoe 1l0JIe BO BTOshypOM-MarHlITHoe
sect 7 Onpeneaenae y)leJIbijOrO sapana meKTpoHa no MeTo)ly gByX ROH)leHCaTOpoB
OgHlIM aa casnax roxmrx COBpeMeHHblX MeTOllOB onpeneneaaa OTHOIIIOHlIH elm HDJIHeTCH MeTog llBYX ROHgeHcaTopOB 8JIeHTpOHbl OT HHTlI HaRaJIa F (pac 9) yCROpHIOTCH rrOJIeM Memlly naronou F H aaonox A Ilpoana lIepea OTDepCTHe B aaone A 1I gHaqgtparMy Ds
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
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T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
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18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
v
28 SJIEHTPOH ErO 3APHn M MACCA [rJl I
nyuox =meKTpOHOB nonanaer B nepmaa KOHIeHCaTOp K 1 na KOshy
TOPbIH HaHJIaIbIBaeTCfI rrepexenaaa paaHOCTb nOTeHllI1aJIOB OT BbIshy
COHOlJaCTOTHOrO reneparopa B IIOI BJIIIflHIIeM 3TOrO rrepeneashy
_ 11111 + t---- l -----I
= PRe 9 Cxejaa xerona onpeneaenaa y~eJIbHOrO aapana npa nOMOJDH ~BYX
nonnencaropon
noro nona nepIlOII11eCKII I1aMeHfleTCfI HanpaBJIeHIIe nysxa II BOshy
otime ronopa nysox aanepzsanaerca 3KpaHOM P2 TOJIbKO re 3JIeKshy
TpOHLI xoropue npOJIeTaIOT xepea HOHIeHCaTOp K 1 B MOMeHT
HOrIa KpIlBafi nOTeHllI1aJIa
npOXOII1T lJepea HyJIb (pIIC
10) OHaabIBaIOTCfI cnocotiaushy
MIl npoara xepea MaJIOe OT-
t Be pCTIIe D2 B axpane P2 bull
8TII BJIeHTpOHLI nOnaIaIOT
aareu B HOUIeUCaTOp K 2
npIlCOeII1UeHUbIll H TOMy me reaeparopy ITO II K 1 BCJIeI-
CTBIIe lJero nona B o6oIlx
HOUIeUCaTOpax acerna HaXOIflTCfI B OII1UaHOBOll epaae TaHIIM o6pashy
aOM IBa paaa B renenae HamIOrO nepaona B HOHIeHCaTOp K 2 nonanashy
IOT BJIeHTpOHbI II OTHJIOUflIOTCfI B 60JIbmell I1JIII MeHbmeit CTeneHII
nnepx I1JIII BUlla B aaBIICIIMOCTII OT epaabI reaeparopa B MOMeHT nposhy
XomIeHIIfI BJIeHTpOUOB xepea HOHIeUCaTOp K 2 bull HeTpYIHO y6eII1TbCfI
B TOM ITO I1MeeTCfI TOJIbHO IBa CIIMMeTpIllHbIX HUnpaBJIeHIIfI B HOTOshy
pux MoryT OTHJIOUIITbCfI ltmeHTpOHLl npn npOXOmIeHHII lJepea BTOT
BTOpOit HOUIeHCaTOp K 2 bull ECJIH aanpmsep npouearyrox BpeMeUH
Heo6xoIHMb1ll BJIeHTpoHy 1To6bI nponererr OT HOUIeHCaTOpa K 1
JJO ROHJJeHcaTopa K2 panen t = OA (pac 10) TO BO BTOpOM ROHshy
nencarope K2 OJJHH BJIeHTpOHbI sacraayr nOTeHIJI1aJI AB = +VI
PIIC 10
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
Ilepnaa Ta6JIIIlla 6hIJIa ony6JIlIROBaHa MeH)IeJIeeBhIM B 1869 r
R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
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44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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22605223 22705 X~Q
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39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
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5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
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PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
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HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
~
bull 8] METOP agtORYCHPOBRH npOpOJIbHbIM MArHHTHblM nOJIEM 29
a ApyrHe - 1I0TOHQRaJI A I H= -VI II03TOMY aa qlJIyopecIJlIpyIOshylIeM axpaae S 1I0JIBJITCJI ABa CHMMeTpRlIHO paCIIOJIOmeHlnJX llJITBR
J
Bapsapya CROpOCTh 8JIeRTpOHOB R3MeBeHReM YCKOpJIIOmerO 110shyTeHlJRaJIa MomBO A06RThCJI roro lIT06u apexa tl CAeJIaJIOCh paOUhIM 1I0JIyllepHOAY reaeparopa T12 lIJIR noofime nT12 Ilpa aTOM yCJIODlIH 8JIeRTpOBhl IIpOJIeTJIT H nropoa ROBAeBcaTOp 6e3 OTRJIOBeBlIlI II ABa 1I1ITHa aa qlJIyopeCQllpYlOlIJeM axpaae COJIhIOTCJI B OAHO ECJIlI pacshyCTOJIHUe MemAY K 1 H K 2 paBHO l a lIaCTOTa reaeparopa f TO CROpOCTIgt
TaKUX aJIeRTpOHOB 6YAeT v = T2l = 2lf lIJIH soofime
v= 2 = 2lf bull (71) nrl n
C APyroH CTOpOHLI eV _mv2
(54)-2-
rna V - ycaopmomaa 1I0TeHQIIRJI IIpIIJIOmeBHhlH MemAY FHA 113 (71) II (54) 1I0JIyqaeM
e v2 2j2l2 (72)m =2)7= n2V bull
Bonsmoe IIpeIIMYlQeCTBO MeTOAa ABYX aoaneacaropos COCTOIIT B TOM lITO OB JIBJIJIerCJI csoero pona laquoHyJIeBhlM) MeTOAoM II He lpe6yeT HHItaHltX H3MepeHHH O~RJlOHeHHlI 061gt11180 CBH3aBHLlX c TPYAHO yCTpaHHMhlMII omn6RaMII BeJIHlIHHa YAeJIbHOrO 3apJIAa nOJIYlIeHHall TaKIIM cnocotiou 1I0CJIe BHeceHIIlI ncex nonpasox pasaa
~=(17590 plusmn 00015)107 CSMmiddot e-1II)m
sect 8 OnpeAeneHHe YAeJIbHOrO aapHA4 9JIeBTpOHa no MeToAY 41oB~cHpoBBH npOAOJIbHLIM MarHHTHLIM nOJIeM
)JpyroH TOlIHhlH MeTO~ OllpeAeJIeHHJI elm CBJI3aH C IIplIMeshyHeHHeM IIP0)lOJIbHOrO MarHIITHoro 1I0JIH
PaccMoTpIIM rrpezsne acero AeHcTBIIe MarHIITHoro 1I0JIa ua pacshyXOAH~IIHClI IIY1l0R aJIeRTpOHOB BhlxoAa~IIH II3 OAHOii TOlIKH (oraepcrae AHalfgtlarMIJ) CHJIa AeHcTBYIOmall aa aJIeKTpOH co cropoasr MRrHHTBoro 1I0JIlI panna (npennoaaraerca ITO e nsrpashymeHOB aJIeKTpOMarHIITHIJX eAIIHIInax)
F=e [vXJ
$) B COOTBeTCTBHH C HCTOpgleCRH YCTaHoBHBlIIetlcR npaxraxoa MbI lIb1pamaeM YjIenbHblH eapan 8JIeHTpOHa elm B onaaanax CGSMe-1 Tor~a RaR aapan 8JIeRTpOHa e 06b11HO aupaseaerca B enaaauax CGSE B Tex cnylaRX KOrjla 06e BenHIHHbI e Hem BXOjlRT B qopMynax B RaRHx-llH6Yjl lwM6HHa~HRx BMfilCTO elm CJIMyeT nacars e[mo
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
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811 ( e2)2 811 2 dege=-3- mes = 3 roo
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21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
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m=mm+Ci=m+ 2acs
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A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
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MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
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MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
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nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
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mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
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c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
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or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
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sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
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Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
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nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
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B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
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nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
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necax cymecmyror raroxe aTOMbI 06JIa)aIOrnlIe pa3JIHtIHbIMlI CBOHshy
ClBaMlI npa O)lIHaHOBbIX aTOMHbIX necax (1I306apbI CM T II rn XVIII)-
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lyrnecTBeHHbIH np1I3HaH amoua OCHOBHOH xapaHTeplICTHHOH 8JIeshy
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nOJIOmeHlIe onpenerraerca HOMepOM MeCTa 3aHlIMaeMoro )aHHbIM
meMeHTOM B Ta6JIlI~e Meaneneena rJIy60HaH npanaaa BamHOCTlI
aroro qlICJIa naaraaaesroro amOMHb~M HOMepOM COCTOlIT B TOM ITO
OHa HBJIHeTCH na caMOM nene He rrpOCTO rropH)HOBbIM HOMepOM
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pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
aJIeMeHTOM BOgOPOgOM H saRaHqHBaeTCH 6JIaropogHMM raaox reJIHeM
TPeTHM aJIeMeHT-JIHTHlI-CHoBa OAHOBaJIeHTeHj OH HBJIHeTCH THnHqshy
HMM MeTaJIJIOM H 06JIaAaeT peSRO BMpameHHMMH lI(eJIOqHMMH cBOlIshy
Al)O_---ltgt- _-00- oa
_
~ I
I II I I t
I
IrQ
T 0
o 10 30 JIJ 10 50 60 llJ SIJ I1mUHHblli HOjep
PRe 23 IIeplIOpllQROCTb ltpH31IQeCKlIX CBOHCTB BepXHIUJ KpHBaR-06paTRbIe
1 kk bullTeMIIepaTypbI nJIaBJIeHlIlJ T 104 CpepHRIJ xpaaaa - K09iilIIWeHT JIlIReUHOro
pacmapeaaa ~ 10amp HII)ltRRIJ KplIBalJ-K09centicentiHIHeHT ClRHMaeMOCTH lCmiddot 106 bull
B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
CTBaMH ITo Mepe nponaaareaaa nnpaao 06a aTH CBOMCTBa aaMeTHO
OCJIa6JIHIOTCH H nOCTeneHHO npOHBJIlUOTCH CBolIcTBa npOTHBOnOJIOmshy
mre HaROHe~ geBHTMH aJIeMeHT-ltpTop-ORaaMBaeTCH aarunonou
JIHTHfI OH flBJIHeTCfI THnHqHMM MeTaJIJIOH)JOM H 06JIagaeT peSRO
BLIpamemrnMH RHCJIOTHMMH CBolIcTBaMH IJaJIee cnenyer 6JIaropogshy
BLIH raa HeOH a aa HHM lI(eJIoqHOlI MeTaJIJI HaTpHH (M 11) II BCH
xaprana npezrsmymero nepaona nOBTopHeTCH TaR qTO xepea aoceus 3JIeMeHTOB (CqHTaa H HaTpHH) MM BHOBb ncrpeaaea lI(eJIOqHOH MeTaJIJI
RaJIHH ROTOpOMy npenmecrnyet 6JIaropogHMlI raa apron (M 18) Ilepexon OT THnHqHMX MeTaJIJIOB R THnHqHMM MeTaJIJIOHAaM rrpoacxoshy
nHT xepea laquoaMltpoTepHMHraquo aJIeMeHT-RpeMHnlI (M 14) ROTOpMit 06shy
zranaer gByMfI MogHltpHRa~HHMHMeTaJIJIHqeCROlI H HeMeTaJIJIHqeCROB
-- ---
--- -- ---- ----- ---
--- -- -- ------- -- ---
------ ------
---- ------ -- ----- ------ --------- -----
--- ---
T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
~
18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
30 aJIEHTPOH ero 3APRD lI MACCA [rJI I
ECJUI anercrpoa JIeTHT non yrJIOM IX He paBHIiIM 0 HJIH 90deg R UanpaBJIeUHlO MarHHTUIiIX CHJJOBIiIX JIHHlIiI TO erO_CRopOCTh MomHO paaaoarars ua nne ROMnOHeHTIiI nponomnyio Vz H nonepequylO Vp
VZ=VCOSIX vp=vsinlX (81)
Paccaorpasr BJIHHHHe srarnaracro nOJIH aa HamJJylO aa lTIIX IWMnOHeHT OTneJIhHO Ha lJIeRTpOH JIeTHIIJHH nepneanaxynapno -R nOJIlO co CROpOCTblO v p neHcTByeT CHJIa F = evpcffJ TaR
n r~ bull
orrpenenenna yneasaoro aapana e rrouorm-io npozromshyaoro xraraaraoro nOJIlI
PRe 11 Cxeua MeTOna
RaR CIIJIa F p seane nepneananyaspaa H VPl TO BJIeRTpOH onamer ORpymHOCTb panHYC ROTOpOH MIiI HaiineM npapanaas F p IJeHTpO-OeiRHOH CHJIe HHepIJHH
_otLJ mvp
evp2ll = - I P
oTRyna vp
p= -- GJC m
BpeMH t aeofixonmroe nJIH roro qTOOIiI lJIeHTpOB orracan nOJIHYro oxpyamocrs oyneT
t= 2~P= ~ (82) vp Qj(
m
OlmaIiIBaeTCH CJIenOBaTeJIhHO qTO t He aaBHCHT OT panayca p TaRHM ofipasox eCJIH npenCTaBHTh ceoe HeCROJIhRO lJIeRTpOHOB onHOBpeMeHHO BIiIXOnRIIJIIX aa OnHOH TOqRH C paaJIHqHIiIMII CHOpOshyCTRMH Vp nepnennHRyJIRpUIiIMIImiddot R $8 TO see 9TH lJIeRTpOHIiI onacas oxpyaraocra pa3JIHQHOrO pannyca onHOBpeMeHHO aepnyrshyH B HCXOnHylO TOQRy tho nORa3aHO na pHC 11 cnpana rue H30opam8HIiI npOeRIJHH nyTeH lJIeRTpOHOB oOJIanaroIIJHX pa3JIIIQshyHIiIMH COCTaBJIRroJIJHMH CROpOCTH vp aa nJIOCROCTh nepneanaxyshynapayio H aanpaaneamo MarHIITHoro nOJIR
F
sect 8) METOn 00HYCHPOBlUf npOJJOJIbHbIM MArHHTHbIM nOJIEM 3t
Ha npOAOJIbHYIO IWMIIOHeHTY CROPOCTII MarHIITHOe none BeshyOHa3bIBaeT BJIIIHHIIH Iloaroay sa npoaeacyrox BpeMeHB t BJleRshyrpoma np0JIBHHYTCH BAOJIb oca COJIeBOllAa coanaiomero none aa paCCTOHHBe
21tV COS (X
l=vtt (83)e-ge m
Ecaa yrOJI IX Man TO COS IX ~ 1 B (83) npBBllMaeT BllA
1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
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R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
nOplI)IOR CJIe)lOBaHJllI Hepenxo 3TJI Jl3MeHeHII1I 6hIJIJI necsua cymeshy
CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
14013) aTOMHhIe neca ropaa JI ypaHa no )IaHHhIM roro BpeMeHJI
6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
MeCTa pOJDRHhI 6hITb 3aHHThI eme He OTRPhIThIMJI 3JIeMeUTaMJI
B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
pue OH Ha3BaJI 3Ha60pOM 3RaaJIIOMJlHJleM JI 3RaCJlJIHllJleM JI onacazr
JlX CBoHCTBa Bcxope nOCJIe aroro B 1875 r 6hIJI OTRphIT 3JIeMeHT
ua3BaHHhIfI raJIJIlI8M MeH)IeJIeeB TOTIaC me YRa3aJI na TO ITO raJIJIJlH
JI ecrr rrpencxaaaumrti JIM 3HaaJIIOMJlHJlH JI ITO OH pOJImeH JlMeTb aTOMshy
UhIH nee OROJIO 68 y)leJIbHhIH sec 60-59 JI aTOMHhIIf 061gteM 115 Ha caMOM )IeJIe -aToMHhIH aec raJIJIlIlI ORa3aJIClI paBHhIM 699 ynernshy
HhIH nee 596 II a TOMHhIH 061gt eM 117 OCHOBHOH epaRT 113 xoroporo IICXO)lJlJI p YI MeH)IeJIeeB npJl
nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
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44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
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5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
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6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
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63 Eu 164 Gd 1
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1= 21tV (84e - amp1fJ m
T e ace 9neITpOHbl BbIJleTaIOIIJBe H3 OTBepCTBH AllaepparMLl c oAHon 11 Ton me aOCOJIIOTHOn BeilHlJBHOn CIWpOCTll v aa npoxeshymYTOK BpeMeHB B reuenae xoroporo npoexuaa 9TllX anexshyTpOBOB aa nnOCROCTb nepIIeBAHRYJIHPBYIO R oca COJIeHOllAa onashyCLlBaIOT nonBYIO orrpyaeaocrs npOABlIraIOTCH BAonh OCB COJIeHOllAa aa OAHO II TO me paccroaaas 1 OTcIOJIa CJIeAyeT lJTO pacxoAHshyIIJHnCH nynore 9JIeRTpOHOB onaaareonoa aaepraa nOA JIenCTBHeM iIpOAOJIbHOrO MarHHTlloro noaa laquopORycBpyeTcH aa pacCTOHBBII 1
ho laquopORycHpyIOIIJee AenCTBlIe COJIeHOHAa B nemBT B OCBOBe MeTOAa npOAOJIbH()rO sraraarnoro nOJTH OJIeRTpOHLl BLlXOAHIIJBe H3 OTBepCTllH JIHalaquopparMbi S (pBC 11) B paaaepnyrsre npeABapHshyTeJlbBO B paCXOAHIIJHnCH nynon nepeMeHHLlM 9JIeRTpHQeCRHM nOJIeM ~ nOIJaAaIOT BHYTPb coaeaoana IlOAOHpaH COOTBeTcTByIOshyWyIO BeJIBlJHBY BanpHiKeHHOCTH nOJIH J1fJ MomBO AOOBTbCH Toro lJTOOLl nylJOR 9neRTpOBOB laquopORycHpOBaJICH RaR pa3 y IJpOTBBOnoshyJIOmHOrO ABaljiparMe ROB~a COJIeHOBAa rne nOMeIIJeB laquopnyopec~B- pYIOWHn 9RpaB 3HaH aeofixorrasroe AJIH aroro nOJIe MomBO ceiixac me BLllJBCJlBTb elm AenCTBBTemBO H3 (84) naXOABM
l e v= 2--J1fJ
1t m
IIOACTaBnHH 9TO aupaaceaae AJIH CROpOCTH rB ypanasaae aaepraa
mv2 =eV (54
2
jrerno nonYlJHM - _ 81t2V
(85m - Q7(2l2
Pesyasrar nocnennax (1939 1) [H3MepeHHH BbinOJIHeBHLlX 9TliIM MeTOAOM TaROB
(17586 plusmn O0023)middot107CGSMmiddote-1 bull
m
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
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90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
3JIERTFOH zr-o 3APflD H MaCCA [rn I
HaH60JIee TOlHOe anaseuae YAe~hHoro sapana B~eRTpOHa nonysenaoe B peayasrare RpHTHleCROH oneuxa HaMepeHHH BblnOJIshy
HeHHblX pa3JIHlHblMH MeTOAaMH ecrs
~=(17592 plusmn 00005)10 CGSMmiddote- Ibull (86)m
CpaBHHM reneps Maccy 3JIeRTpOHa C sraccoa sonoponaoro aTOMa
)JJIH aroro HyiRHO npenene scero HanTH BeJIHlHHy elmlaquo T e OTHomeHHe aapana 9JIeRTpOHa R Macce aTOMa sonopona Jlerrco sanerr- lTO BTO nOCJIeAHee oruomeaao paBHO ornomeamo qHCJIa ltDapa)]eH F R aroxaoay secy soaopona HI IJenshy
CTBHTeJIhHO TaR RaR F = Ne (N - nOCTOHHHalI Aaoranpo)
1I HI = NmH TO HFl = z lIa HaH60JIee TOlHLIX HaMepeHUR F U HI mH
-~=(95735 plusmn 1) CGSMmiddote-Ibull (87)ma
KOMOUHUpyR (86) II (87) HaXOAIIM
mHm=18375
IlTaR Macca 3J18RTpOHa B 18375 paaa MeHhme MaCCLI BOAOshy
poAHoro aTOMa
sect 9 (DoRycHpoBKa H MOHoxpoMaTH3aDHH rryqgOB aapaaeenmrx qaCTHIJ
PaCCMOTplIM aAeCb nonyTHo MeTOALInOJIyleHIIR nylROB laCTH~
nocToRHHOR CROpOCTII (MOHoxpoMaTII3a~HR lfmJIbTpbl CRopOCTeR)
II MeTO)]LI lJgtORyCHpOBRH nyxxon
aaparaeumax laCTII~ 3HaROMcTBO
C 9TIIMH MeTO)]aMII nOHano6HTCR p ( ~J~ HaM B )]aJIbHenmeM
CaMLIR npOCTOR lJgtIIJIbTP CROshy
pOCTeR ycrpoen TaR nyxox aapRshy8_~_ ~f~_~cc_~~-middot1 iReHHLIX laCTIIQ nponycxaorca
OAHOBpeMeHHO lepea 3JIeuroKTpIIle-
Pac 12 Cxova ltpHJIbTpa cxopocreii CRDe II MarHIITHoe nOJIR aanpaashyaapaatcnasrx qaCTIII~ JIeHHLIe neuropneH)]IIRyJIRpHO npyr
K Apyry If npIITOM TaR lTO OHH
nalOT OTKJI0HeHIIR B npOTHBOrrOJIOiRHLIX aanpasneaaax
Ha pIIC 12 MarHIITHoe nOJIe narrpaaneao nepneanaayaapao
R IIJIOCROCTn lepTeiRa n )]eRcTByeT aa rrOJIOiIHTeJILHO aapaateanyro
bull -iacrany C CnJIOR evrlllJ JIemaIqeR B rrJlOCROCTII lepTema B TOR
He rrJIOCROCTH JIeuroiRIIT II CIIJIa e~ C ROTOpOR nbRcTByeT aa aapan
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
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a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
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HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
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RaJIHH ROTOpOMy npenmecrnyet 6JIaropogHMlI raa apron (M 18) Ilepexon OT THnHqHMX MeTaJIJIOB R THnHqHMM MeTaJIJIOHAaM rrpoacxoshy
nHT xepea laquoaMltpoTepHMHraquo aJIeMeHT-RpeMHnlI (M 14) ROTOpMit 06shy
zranaer gByMfI MogHltpHRa~HHMHMeTaJIJIHqeCROlI H HeMeTaJIJIHqeCROB
-- ---
--- -- ---- ----- ---
--- -- -- ------- -- ---
------ ------
---- ------ -- ----- ------ --------- -----
--- ---
T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
~
18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
i 91 ltDOHYCHPOBHA nYQHOB 3APRmEHHhlX lJACTHU 33
aneKTpllleCHOe none HOHLeHCaTOpa AB Ecnu BM6paTh HanpaBneshyaaa nonea TaH IT05M 05e CIWM 6LWll aanpaanensr B npOTUBOshyIIOJIOmHMe CTOpOHM TO peaynrrrapyromaa cana 6YLeT evrf18 - e~ IIoL BnllHHlleM aron cansr xacrana LBllmeTCR aoofime rosopa no I1pllBOn C panaycosr xpaaaamr p Ilpnpaaaasaa cuny LenCTBYIOshymyto aa 1aCTll~y ueHTp06emHon cane anepnaa nonyaaea
mvsevrf18 - e~ = - (91)
- p
OqeBllLHO ITO 1epe3 HOHLeHCaTOp npoimyr TOnhHO re 1aCTUnLI CfWPOCTh KOTOpMX TaHOBa ITO 06e CllnM evrf18 H e~ npyr npyra fOMneHCllpYIOT B aTOM cnysae
~ evrf18 - e~ = 0 II V = rJJe ~ (92)
qacTlluM co CHOpOCTRMll He yLOBJIeTBOpRIOmmllll COOTHomeHll1O (92) 6YAyT rrparaayrra nnacraaxaan HOHLeHCaTOpa II y)laneHLI lila nysxa llJIII BO BCRKOM CJIYlae aaneparauu )IIIalaquoJpanlOH D
p
s 0 Puc 13 ltIgtoRycupoDIm nonepevauu OPHOpOAHhIM
MarHWTHhIM nOJIeM
AJIRI laquoJOHyCllpOBKIl 1aCTlIu OIeHb 1aCTO noasayiorca AencTBueM OpHOpO)lHOrO nOnepelHOrO MarHIlTHoro nOJIR
Ilycrr llCTOIHllH 1aCTllIJ JIeiKllT B S (pnc 13) II nYCTb see qaCTHULI xapaxrepaayiorca oAHon II Ton llie BeJIIfqllHOn mraquo]e qacTHJJa asmeraiomaa BepTllKaJIhHO nnepx onamsr nonYOHpymshy
mv 5HOCTh naaxerpox SA = 2 eQJt = 2p KaKaR-HIl y)lh npyraa 1aCTll~a
BblneTalOmaR non yrJIOM lX K nepaoii TeM me panaycosr onmner uyshyry xpyra KOTopaR nepecexer naamo SA B TOqHe B Jlerxo BIIshy)IeTh ITO
AB = 2p (i - cos laquo)
Ecna yrOJI lX )IOCTaTOlHO Man TO MOlliHO aocnoasaonarrca paashy_ as
JlOmeHlIeM xocanyca B creneaaoa pHn COS tx = i - 2+ bull BaRTh
S bull B IDnOJILCRHlt T I
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
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21 11 00 S
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lJ Macca (l nOlroMY sootime roaopn
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m=mm+Ci=m+ 2acs
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A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
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MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
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MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
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nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
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mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
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c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
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nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
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sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
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Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
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T 0
o 10 30 JIJ 10 50 60 llJ SIJ I1mUHHblli HOjep
PRe 23 IIeplIOpllQROCTb ltpH31IQeCKlIX CBOHCTB BepXHIUJ KpHBaR-06paTRbIe
1 kk bullTeMIIepaTypbI nJIaBJIeHlIlJ T 104 CpepHRIJ xpaaaa - K09iilIIWeHT JIlIReUHOro
pacmapeaaa ~ 10amp HII)ltRRIJ KplIBalJ-K09centicentiHIHeHT ClRHMaeMOCTH lCmiddot 106 bull
B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
CTBaMH ITo Mepe nponaaareaaa nnpaao 06a aTH CBOMCTBa aaMeTHO
OCJIa6JIHIOTCH H nOCTeneHHO npOHBJIlUOTCH CBolIcTBa npOTHBOnOJIOmshy
mre HaROHe~ geBHTMH aJIeMeHT-ltpTop-ORaaMBaeTCH aarunonou
JIHTHfI OH flBJIHeTCfI THnHqHMM MeTaJIJIOH)JOM H 06JIagaeT peSRO
BLIpamemrnMH RHCJIOTHMMH CBolIcTBaMH IJaJIee cnenyer 6JIaropogshy
BLIH raa HeOH a aa HHM lI(eJIoqHOlI MeTaJIJI HaTpHH (M 11) II BCH
xaprana npezrsmymero nepaona nOBTopHeTCH TaR qTO xepea aoceus 3JIeMeHTOB (CqHTaa H HaTpHH) MM BHOBb ncrpeaaea lI(eJIOqHOH MeTaJIJI
RaJIHH ROTOpOMy npenmecrnyet 6JIaropogHMlI raa apron (M 18) Ilepexon OT THnHqHMX MeTaJIJIOB R THnHqHMM MeTaJIJIOHAaM rrpoacxoshy
nHT xepea laquoaMltpoTepHMHraquo aJIeMeHT-RpeMHnlI (M 14) ROTOpMit 06shy
zranaer gByMfI MogHltpHRa~HHMHMeTaJIJIHqeCROlI H HeMeTaJIJIHqeCROB
-- ---
--- -- ---- ----- ---
--- -- -- ------- -- ---
------ ------
---- ------ -- ----- ------ --------- -----
--- ---
T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
~
18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
34 ltWEHTPOH Era 3APRlJ II MACCA [rJI 1
AB = ptx2 bull
Hanpaxep ecrm p= 5 eM tx =3deg = 005 TO AB = 12510- 2 Clt
OleBlIDHO lTO see xacrauer HanpaBJIeHlIH HOTOpbIX npll BbIJIeTe na S JIeiHaT B npeaeaax yr-na tx onacan cooTBeTcTBYIOlllYIO nyr-y nepecexyr SA MeiHDy A II B TIOSTOMy eCJIlI lICTOlHlIHOM S CJIyiHlIT mens xepea HOTOpyIO npOXODHT xacrmua TO AB 6yDeT (ltlI306pashyiHeHlIeMraquo STOH merrn B BlIDe yaHoH JIlIHlIlI uonepenaoe ODHOpODshy
Hoe MarHlITHoe nOJIe )JeHCTByeT ThHlIM 06paaOM HaH nllJIlIHDpUshyxecxaa JIlIHaa
IJpyroH TlIn pllJibTpOB rroayxaamaa B nOCJIeDHee BpeMJl mapoxoe pacnpocrpaaeaae OCHOBaH aa DeHCTBlIlI paDlIaJIbHOrO
SJIeHTpllleCHOrO IIOJIH B nllJIlIHDpllleCHOll HOHDeHCaTope PaccMOTpM laCTIIny C aashypHDOM e nonanaromyro B nIlJIHHDpIlleCHlIll HOHDeHcaTOp (pac 14) OleBlIDHo lTO xashyCTIIna fieonperrarornenao nPOHDeT lepe3 ROHIeHCaTOp B TOM cnyxae eCJIlI DeHcTByIOshy
PRC 111 llOJIOiHHTeJIbHO maa aa Hee co CTOpOHbI nOJIH CIIJIa e~ aaplIiHCHHan IaCTHla H 6yDeT panna neHTpo6eiHHOH cane auepnaa paAHaJIbHOM aJIeRTpH~eshyCROM nOJIe lHJIRHJpHshy mv2
e~=-~eCRoro ROHAeHCRTopa
B nIlJIHH)IpllleCHOM HOHDeHCaTOpe noae 06JIaDaeT paDI1aJIbHOH ClIMMeTpllen II noroay
dV I~ I= dp bull
CneDOBaTeJIhHO YCJIOBIIe fiecnpenaroraennoro npOXOiHDeHlIH laCTIJshynbI lepea HOHDeHCaTOp 6Y)leT
dV- mv2
e d = -- (93)
Bupaaeaa KlIHeTHleCHYIO aueprmo mv 2 lepea yCHOpSlIOlIllIH nOTeHshynMaJI mo = 2eVo H paaDeJIHH nepexeuarae B ypaaneaaa (93) IIOJIy1lUY
d 1 dV P=2Vo
IIOJIaraSl paDHYCLI BHemHeH H BHyTpeHHeR 06HJIaDOH paBHLlMH COOTBeTCTBeHHO P2 B PI no TeHnHaJI BHemHeR 06HJIaDlH - paBHLlM Vk
a anyrpeaueii - paBHLlM 0 B aarerpapya npa 3TBX yCJIOBHRX DOJIylHM
P2 Yk r~=_l (dVJ II 2V J
PI 0
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
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T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
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18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
sect 9] IIgtOHYCHPOBHA IIyqHOB 3APRiREHHhlX QACTI1U 35
oTHy~a
V k = 2V In ~ (94)o Pi
MLI BHlIIM TaHIiM 06paaOM ITO Ham)JOH paaHOCTH nOTeHIHashyJIOB Vk aa 06HJIa)JHax xonnencaropa COOTBeTcTByeT aaepraa 3JIeRshylpOHOB V npa HOTOpOH OHH sror-yr npoirra qepe3 HOHleHshyCaTOp
IViJo
~t IZ
PJIIC 15 UlfJIIIHAPlIqeCRHH HOHAeHcaTop HaH qmJIbTP cxopocreii (CTpeJIshyHaMil o6OltIHaQeHLI CIIJIOBLIe JIIIHIIII lJIeHTpHqeCHOrO nOJIlI cnpana HB
rpalflllHe n-QHCJIO qaCTIIl V-IIXCHOpOCTb)
Ha pac 15 aaoripaacena CXeMa )]enCTBHH IUJIUH)]pHIeCIWrO HOHleHCaTOpa HaH llJUJIbTpa cxopocroii BH)JHO ITO eCmI qepea 1IeJIb B 1 IIocTyIIaeT nyIOH 3JIeHTpOHOB CHOpOCTU HOTOpLIX JIemaT B HHTepBaJIe v plusmn ~v TO qepea mens B 2 IIpOHlyT meHTpOHbI CO CHOshypOCTHMH JIema1IBMH B 60JIee yaHoM HHTepBaJIe v plusmn s B npasoa 1aCTH pacynxa nano rpaqlHIeCHOe ua06pameHHe pacnpeneneaaa 3JIeHTpOHoB no CHOpOCTHM )]0 ltpUJIbTpaIHH H nOCJIe aee (aamrpashyXOBaHHaH qaCTb)
HaH60JIee aaMeqaTeJIbHaH ocofenaocrs paccsrarpaaaexoro pBJIbTpa COCTOHT B TOM ITO OH 06JIalaeT cnoc06HoCTbIO pOHycHpoBaTb pacshyxOlH1IUeCH nyIHB lOa U PomaHcHHH noxaaana TeOpeTBqeCHHM paCIeTOM B nO)]TBep)]BJIH axcnepaaearansno ITO paCXO)JH1IHHCH nyIOH BLIXO~HIIHi H3 1IeJIU S BHOBb pOHycHpyeTcH onacaa
127017B IIIJIIIH~pHqeCROM xouneacarope nyr-y ~_ = (pac 16) r 2
3
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
Ilepnaa Ta6JIIIlla 6hIJIa ony6JIlIROBaHa MeH)IeJIeeBhIM B 1869 r
R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
MeH)IeJIeeBy npllIIIJIOCb Jl3MeHJlTb JIll60 IIX aTOMHhIe neca JIII60
nOplI)IOR CJIe)lOBaHJllI Hepenxo 3TJI Jl3MeHeHII1I 6hIJIJI necsua cymeshy
CTBeHHhIMJI TaR nanpnaep aTOMHhIH nee nepaa CIllTaJIClI paBHhIM 92 MeH)IeJIeeB rrpanacan eMy aToMHhIH nee 138 (co spexeaaoe 3HaIeHJleshy
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6hIJIlI COOTBeTCTBeHHO 116 II 120 MeH)IeJIeeB He yRa3aJI ITO 3TJI
lTOMHhIe neca )IOJImHhI 6hITb 232 JI 240 Haaonen HeIgtOTOphIe MeCTa
B rafinane MeH)IeJIeeB OCTaBJlJI nYCThIMJI YRa3aB na TO ITO 3TJI
MeCTa pOJDRHhI 6hITb 3aHHThI eme He OTRPhIThIMJI 3JIeMeUTaMJI
B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
pue OH Ha3BaJI 3Ha60pOM 3RaaJIIOMJlHJleM JI 3RaCJlJIHllJleM JI onacazr
JlX CBoHCTBa Bcxope nOCJIe aroro B 1875 r 6hIJI OTRphIT 3JIeMeHT
ua3BaHHhIfI raJIJIlI8M MeH)IeJIeeB TOTIaC me YRa3aJI na TO ITO raJIJIJlH
JI ecrr rrpencxaaaumrti JIM 3HaaJIIOMJlHJlH JI ITO OH pOJImeH JlMeTb aTOMshy
UhIH nee OROJIO 68 y)leJIbHhIH sec 60-59 JI aTOMHhIIf 061gteM 115 Ha caMOM )IeJIe -aToMHhIH aec raJIJIlIlI ORa3aJIClI paBHhIM 699 ynernshy
HhIH nee 596 II a TOMHhIH 061gt eM 117 OCHOBHOH epaRT 113 xoroporo IICXO)lJlJI p YI MeH)IeJIeeB npJl
nOCTpoeH1I1I CIICTeMhI 3JIeMeHTOB COCTOIlT B TOM ITO eCJIlI pacshy
rrOJIORJlTb 3JIeMeHThI B noPH)IRe B03paCTaHlIlI aTOMHhIX BeCOB
TO 3JIeMeHThI C aHaJIOrHIHhIMH CBOHCTBaMlI nepllO)IIIIeCHlI nOBTOshy
pHIOTClI MCXO)lR 113 aroro eMy ynanocs nOCTpOIlTb laquoeCTeCTBeHshy
UYIO CIICTeMY 3JIeMeHTOBraquo xoropaa ORa3aJIaCb npaBIIJIbHOH Heshy
CMOTpH aa TO ITO aTOMHhIH nee HaR BhIHCHIIJIOCb BnOCJIe)lCTBIIII_
A TOMbI H30TOITbI [roll II
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ITO cyrneCTBYIOT aemecraa xoropsre B XlIMlItIeCHOM OTHomeHlIlI nenyr
ce6H npaHTlItIeCHH o)lIHaHoBbIM 06pa30M aecaorpa na TO ITO lIX
ATOMHbIe neca pa3JIlItIHbI Taxae nemecrna Ha3bIBaIOTCH usomonauu TaH HaH BCJIe)CTBlIe lIX XlIMlItIeCHOH Tom)eCTBeHHOCTlI lIX He06xo)lIMO
IIIQMernaTb ua O)HO II TO me MeCTO B nepaonasecxon ClICTeMe (CJIOBO
laquoH30TOnbI) B 6yHBaJIbHOM nepenone C rpesecreoro oaaasaer laquo3aHlIMaIOshy
1U1Ie O)HO II TO me MeCTO)) XlIMlItIeCHlIe 8JIeMeHTbI aa caMOM neshy
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BeCOB ncex otipaayionrax lIX 1I30TorrOB Hapany C aTOMaMlI 06JIashy
)aIOrnlIMlI onem 6JI1I3HlIMlI CBOHCTBaMlI npn pa3JIlItIHbIX aTOMHbIX
necax cymecmyror raroxe aTOMbI 06JIa)aIOrnlIe pa3JIHtIHbIMlI CBOHshy
ClBaMlI npa O)lIHaHOBbIX aTOMHbIX necax (1I306apbI CM T II rn XVIII)-
TaH HaH O)HaHO rrepaona-recxaa ClICTeMa 8JIeMeHTOB OHa3aJIaCb
npaBlIJIbHOH TO ee CJIe)yeT paCCMaTplIBaTb HaHmiddot~YH)aMeHTaJIbHbIH 3aHOH npaporna He3UBlIClIMO 01 roro HaHlIM rryTeM OHa 6bIJIa OTHpbITa
IIoCHOJIbHY XlIMlIqeCHlIH aTOMHbIH nee B )eHCTBlITeJIbHOCTlI He ecrs
lyrnecTBeHHbIH np1I3HaH amoua OCHOBHOH xapaHTeplICTHHOH 8JIeshy
MeHTa HBJIHeTCH ero nOJIOmeHlIe B neplIO)lItIeCHOH ClICTeMe a 810
nOJIOmeHlIe onpenerraerca HOMepOM MeCTa 3aHlIMaeMoro )aHHbIM
meMeHTOM B Ta6JIlI~e Meaneneena rJIy60HaH npanaaa BamHOCTlI
aroro qlICJIa naaraaaesroro amOMHb~M HOMepOM COCTOlIT B TOM ITO
OHa HBJIHeTCH na caMOM nene He rrpOCTO rropH)HOBbIM HOMepOM
HO O)HOH H3 OCHOBHbIX gJuaU1ieCXUX HOHCTaHT aTOMa HaH 810 6y)eT
nOHa3aHO B )aJIbHellrn8M
B03MomHOCTb pacnonoareaaa 8JIeMeHTOB B npaBlIJIbHYIO cncreay
npa nOMOrnH aTOMHbIX BeCOB OCHOBaHa aa CJIe)YIOrneM 3aMeqaTeJIbshy
HOM ~aHTe eCJIlI xaparcrepaaonarr )aHHbIH 8JIeMeHT aTOMHbIM BeCOM
onpenenaesnaa XlIMHqeCRlIMlI MeTo)aMlI II HBJIHIOrnlIMCH cpe)HHM 1I3
aTOMHbIX BeCOB ncex 1I30TorrOB naanoro 8JIeMeHTa TO Mem)y 8THM
cpe)HIIM aTOMHbIM BeCOM II aTOMHbIM HOMepOM cymecrnyer npocraa
MOHOTOHHaH 3aBlIClIMOCTb (pIIC 21) B HeMHorlIX CJIytIaHX aorna
810 COOTBeTCTBHe lIapyrnaeTcH (K-Ar Te-middotJ Co-Ni) Meaneaeen C reHlIaJIbHOH HHTYH~HeH paCrrOJIOmlIJI 8JIeMeHTbI npanarrsno
nonpexa HX aTOMHbIM necax
Ha pHC 22 II 23 rrpa aenema aexoroprae npauepu nepaonasecnoro
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aTOMHbIH nee ) 23 HaT-aTOMHbIe 06LeMbI (= na pac npe)CTaBJIeH
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BIIClIMOCTlI 01 aroaaoro aoxepa a HMeHHO-BepXHHH HpHBaH paeT
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middot~ _- J
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middot~JiIOinl Bll~HO ITO nee ara CBOHCTBa He rozirxo HcnLITLIBaIOT nepaoshy
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nepHogaMH TeOpeTHqeCRH 60JIee 06ocHoBaHa Ta6JIH~a C gJIHHHMMH
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pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
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1 kk bullTeMIIepaTypbI nJIaBJIeHlIlJ T 104 CpepHRIJ xpaaaa - K09iilIIWeHT JIlIReUHOro
pacmapeaaa ~ 10amp HII)ltRRIJ KplIBalJ-K09centicentiHIHeHT ClRHMaeMOCTH lCmiddot 106 bull
B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
CTBaMH ITo Mepe nponaaareaaa nnpaao 06a aTH CBOMCTBa aaMeTHO
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mre HaROHe~ geBHTMH aJIeMeHT-ltpTop-ORaaMBaeTCH aarunonou
JIHTHfI OH flBJIHeTCfI THnHqHMM MeTaJIJIOH)JOM H 06JIagaeT peSRO
BLIpamemrnMH RHCJIOTHMMH CBolIcTBaMH IJaJIee cnenyer 6JIaropogshy
BLIH raa HeOH a aa HHM lI(eJIoqHOlI MeTaJIJI HaTpHH (M 11) II BCH
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zranaer gByMfI MogHltpHRa~HHMHMeTaJIJIHqeCROlI H HeMeTaJIJIHqeCROB
-- ---
--- -- ---- ----- ---
--- -- -- ------- -- ---
------ ------
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--- ---
T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
~
18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
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I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
16 aJIEHTPOH ErO 3APH~ Ii MACCA [nbull 1
TaHHM OOpaaOM pa~IIaJIbHOe 3JIeHTpUqeCHOe noae ~HJIHH~PHshyqeCHOrO xonneacaropa ~eiicTByeT na pacxonamaaca nOTOH eapashy)K~HHLIX qaCTH~ coaepmeuuo rax me HaH nonepeanoe onaopoaaoe MarHHTHoe nOJIe B aexoropsrx OTuomeHHIIX O~HaHO npasreneaae BJIeHTpIIqeCHOrO I10JIfl BMeCTO MarHIITHoro I1pe~CTaBJIlIeT npeIIMYshy
IIJeCTBa Harrpaxep npa nOMOIIJH 3HpaHOB ropasshy~O ner-re OrpaHIIqHTL aJIeHTpHqeCHOe I10JIe qeM MarHHTHoe
sect 10 3UBHCHMOCTL Macshy
eY eaesrpona OT ero eaopoera
PRC 16 ltIgtoRycllpylOmee ~eHCTBHe panaansnoshy Ilpa CHOpOCTRX aJIeHshyro BneRTpllllecKoro nona A -IlCTOqSIlK aapashymeSSbIX qaCTIll B-4Japa~eeB uanaanp Gl TpOHOB OJIHaHIIX R CROshyCa-nnacTllsbI lllnllHApllqeCROrO xoaneacaropa pOCTH csera otiaapyaorshy
SSl-meJIIl BaeTCII aaBIICIIMOCTb MacshyChI OT CHOpOCTH Ilopaoe
aacnepaaearansuoe nO~TBepE~eHHe sroro BamHeHmero ltpaRTa npaaanzreatar RayepMaHy pafiora xoroporo OLIJIa onyOJIHROBaHa B 1901 r T e erne aa qeTLIpe rona ~o nOIIBJIeHIIII TeopIIH OTHOCIIshyTeJIbHOCTH
CymHocTb ero MeTo~a COCTOIIT B TOM qTO 3JIeRTpOHbI uponycxaorshyca o~uOBpeMeHHO sepea rronepesaue 3JIeRTpIIqeCROe II MarHHTHoe nOJIa pacnOJIOmeUHLIe rrapaJIJIeJIbUO HJIH aUTHrrapaJIJIeJIbHO TaR lTO OTHJIOHeUIIa B TOM H npyrox rrO~IIX I1epIleHJV1KYJIlIpUhI~pyr
H ~pyry napaJIJIeJIbHLlH nysox meRTpOHOB OOJIa1alOIIJHX o~Hoii H Toii me CROpOCTblO rrpOXO~HT Mem~y rrJIacTBHRaMH xormeacaropa B I1pOCTpaHCTBe Mem~y ROTOphIMB BoaOYiR~eHO TaRme H MarHBTHoe nOJIe (pBC 17) Harrpasneaaa I10JIeii rrORa3aHLI na pacyaae CTpeJIshyRaMB OTRJIOHeHHe B 3JIeRTpHqeCHOM nOJIe 6y~eT uanpaaneao snpaso H paBHO nanpasrep OA= x OTRJIOHeHHe B MarHHTHOM nOJIe oy~el
aarrpaaneao asepx H paBHO aanpaxep OB =z (CJIe~yeT rrOMHHTr lTO 3JIeRTpOHLI necyr oTpH~aTeJIbHLIii aapan n03ToMY OTHJIOUeHIIlI I10JIOmHTeJIbHO sapaaceumrx qaCTH~ OLlJIII 6hl COOTB~TcTBeHHo
BJIeBO H BHHa) ltIgtopMyJILI sect 4 naror
z=A~mv
(48)
ex==Bshya middot mv
(411)
rne A B B -rrOCTOaaHLJe npatiopa Bce 3JleHTpOBIiI llelOIIJHe nocroJlHuyIO CHOpOCTL 6~1T nonanazs rrocne l]poxO)KlleulIJI middotqepea
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
Ilepnaa Ta6JIIIlla 6hIJIa ony6JIlIROBaHa MeH)IeJIeeBhIM B 1869 r
R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
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44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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22605223 22705 X~Q
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39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
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5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
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PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
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113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
sect 10] 3ABHCIUlOCTb MACChI 8JIEHTPOHA 01 ErO CHOPOCTH 31
06a nOJIlI B fOlRy C laquopOTOnJIaCTHHHH Ilycrr reneps rry1JOH ReOAROshy
pOIJeH H COAepilHT aJIeHTpORLI BceB03MomHLIX CHopOCTeH B aTOM
cJIylae CJIeBLI aJIeHTpOnOB aa laquopOTOnJIaCTHHHe pacnonoaearca no
HeHOTopOH HpI1BOH laquopOpMy HOTOpOH Jlh( HaHAeM BCHJIIOqHB H3
(48) H (411) CHOpOCTI v z B03BeIJlI nepnoe aa HHX
B HBanpUT B pa3neJIHB
HU BTopoe IIOJIylaeM
~2 AS e (101) ~I
~ -=Bm ~Il
ECJIH elm nOCTOlIHshy
BO II CJIeAOBaTeJIbHO
A2
- =K = constS m TO
Z2 =Kx (102) 8JIeInpOHbI B nonepexaux aneterpaxeshyCROM II MarHIITHOM llOJIHX
II HCHOJlalI RpHBalI AoJIshy
lIma 6LITL orpeaxoa nashy
pafiozrsr TIepeHJIIOIalI meHTpHIeCHO e nOJIe TO B onay TO B npyshy
ryIO CTOpOHy npa HeH3MeHHOM aanpaansaaa MarHHTHoro nOJIlI
MLI nOJImHLI OLIJIH OLI nOJIylHTb nsa OTpe3Ha napaOOJILI pacnonoshy
ilWHHbIX TUH ITO OOmeH xacarensuoii HX B TOlHe 0 CJIymHT OCL
ZI Z (pHC 18 a) B onsrrax RaypMaHa1rBbIrrOJIHeBHLIX C TaRHM pacrronoaceuaex H C npenaparox panaa B RaqeCTBe HCshy
TOlHHHa anexrpoaon ofiaapyaoaaocr
ITO orpeaan rrpansrx nonynemnre Bplusmn -e peaymrare onsrra He aansrorca orpeashyo Omiddot HaMll napafioma Yme aTO rrORa3LIBaeT
) 1raquo ITO elm B (101) He OCTaeTClI rrOCTOlIHHbTM
PRe 18 T e ITO Macca 3aBHCllT OT CROpOCTH
Ha pHC 18 b CXeMaTllleCHH npeACTaBJIeH
BHIJ epoTorpaqJHH rronyneaaoa RaypMaHoM llHTHO BLI3BalIHoe HeOTshy
HJIOHHeMbTMH B MarBHTHOM II 8JIeHTpllleCHOM nOJIlIX y-JIylaMII panaa
pHHcHpyeT HalaJIO xoopnaaar Bnnno oznrano ITO orpeaxa HpHBLIX
He nOXOnHT AO HalaJIa HoopnllHaT HecMoTplI Ha TO ITO B nylHe
rrpncyTcTBOBaJIH 8JIeHTpOHbI CO CHOpOCTHMH MaJIO OTJIlllaIO~llMHClI
OT CHOpOCTH CBeTa BHIJHO rarose ITO HaCaTeJIbHLIe npOBeAeHHLIe
H nponOJImeHHHM OOOllX OTpe3HOB B TOlHe 0 He COBnanaIOT
C OCbIO Z HO oopa3YIOT C HeH yrOJI a OTJIHIHLIH OT HyJIH Iloaroxry z Z2 Z
- HMeeT HOBeqBOe aaaxeaae npn Z = 0 a CJIenOBa TeJIbHO - = -z = 0 x x x
TaHHe pOTorpalaquopHH n03BOJIHIOT HaHTll elm AJIH pa3JIllqRLIX CHOpOshy
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
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e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
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811 ( e2)2 811 2 dege=-3- mes = 3 roo
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mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
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a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
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II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
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HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
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~ ~ ~ ti ~ ~ ~ ftWJ 118pound0 l9I1JtOiUI
sect 13] nEPllOpnQECRAH CllCTEMA 8JIEMEHTOB p n MEHPEJIE EBA 51
nepHogaMH TeOpeTHqeCRH 60JIee 06ocHoBaHa Ta6JIH~a C gJIHHHMMH
nepaonaxn (Ta6JIH~a II na CTp 52) Paccxorpaa nOCJIegoBaTeJIbHMe pHAM aTOM Ta6JIH~M ITepBMlI
pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
aJIeMeHTOM BOgOPOgOM H saRaHqHBaeTCH 6JIaropogHMM raaox reJIHeM
TPeTHM aJIeMeHT-JIHTHlI-CHoBa OAHOBaJIeHTeHj OH HBJIHeTCH THnHqshy
HMM MeTaJIJIOM H 06JIaAaeT peSRO BMpameHHMMH lI(eJIOqHMMH cBOlIshy
Al)O_---ltgt- _-00- oa
_
~ I
I II I I t
I
IrQ
T 0
o 10 30 JIJ 10 50 60 llJ SIJ I1mUHHblli HOjep
PRe 23 IIeplIOpllQROCTb ltpH31IQeCKlIX CBOHCTB BepXHIUJ KpHBaR-06paTRbIe
1 kk bullTeMIIepaTypbI nJIaBJIeHlIlJ T 104 CpepHRIJ xpaaaa - K09iilIIWeHT JIlIReUHOro
pacmapeaaa ~ 10amp HII)ltRRIJ KplIBalJ-K09centicentiHIHeHT ClRHMaeMOCTH lCmiddot 106 bull
B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
CTBaMH ITo Mepe nponaaareaaa nnpaao 06a aTH CBOMCTBa aaMeTHO
OCJIa6JIHIOTCH H nOCTeneHHO npOHBJIlUOTCH CBolIcTBa npOTHBOnOJIOmshy
mre HaROHe~ geBHTMH aJIeMeHT-ltpTop-ORaaMBaeTCH aarunonou
JIHTHfI OH flBJIHeTCfI THnHqHMM MeTaJIJIOH)JOM H 06JIagaeT peSRO
BLIpamemrnMH RHCJIOTHMMH CBolIcTBaMH IJaJIee cnenyer 6JIaropogshy
BLIH raa HeOH a aa HHM lI(eJIoqHOlI MeTaJIJI HaTpHH (M 11) II BCH
xaprana npezrsmymero nepaona nOBTopHeTCH TaR qTO xepea aoceus 3JIeMeHTOB (CqHTaa H HaTpHH) MM BHOBb ncrpeaaea lI(eJIOqHOH MeTaJIJI
RaJIHH ROTOpOMy npenmecrnyet 6JIaropogHMlI raa apron (M 18) Ilepexon OT THnHqHMX MeTaJIJIOB R THnHqHMM MeTaJIJIOHAaM rrpoacxoshy
nHT xepea laquoaMltpoTepHMHraquo aJIeMeHT-RpeMHnlI (M 14) ROTOpMit 06shy
zranaer gByMfI MogHltpHRa~HHMHMeTaJIJIHqeCROlI H HeMeTaJIJIHqeCROB
-- ---
--- -- ---- ----- ---
--- -- -- ------- -- ---
------ ------
---- ------ -- ----- ------ --------- -----
--- ---
T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
~
18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
CTilH
aJIEHTPOH rsro 3APHlJ II MACCA rr-a I
13JleRTpOHOB RaROBa 6LI HH 6LIJIa ltpopMa CJIe~OB B caMOM
Ilene H3MepHB Roop~HHaTLI RaROH-JIH60 TOtIRH RpHBOH MomHO
middot~llBCJInTb elm B v IIpB IIOMOmH ltpOpMyJJ (48) H (411) BBH~y Toro llTO CJIe~LI IIOJIyIaeMLIe aa ltpoTOIIJIaCTHHHe ~OBOJIbHO paashyMHTH 60JIbmOH TOIHOCTH raxae H3MepeHHH ~aTb He xoryr OAHaRO
OHH K8tIeCTBeHHO IIORa3LIBaIOT BHe acaxcro COMHeHHH ITO Macca
B03paCT8eT co CROpOCTbIO HaIIpHMep RayltpMaH IIOJIyIHJI CJIe~yshy
-JOmlIe pe3YJJbTaTLI
v cMcelgt
2361010 l3tmiddot107
2591010 097107
283101 0 063107
IJJIH ROJIHtIeCTBeHHOrO yCTaHOBJIeHHH sana SaBHCHMOCTB MaCCLI
OT CKOpOCTB TOqHOCTb OIILITa RayltpMaHa HeoOCTaTOqHa
B TO BpeMH xorna OH IIpOH3BOoJ21JI CBOH OnhITbI peas MOrJIa
BTTB 0 BLI60pe Memoy oByMH laquopopMyJIaMH 1) laquopOpMyJIOii A6paraMa
B OCHOBe BLIBooa ROTOpOH JIemaJJO IIpeocTaBJIeHHe 06 aJIeHTpOHe
J(8H 0 mecTRoM H HecmHMaeMOM mapaxe
3 1 (1 + ~a 1 - ~ ) m = mo 4 J T In 1 + ~ - 1
It 2) ltpOpMyJIOH Jlopeana
m=~o_ yT_ ~2
OTBeqaIOmeii IIpeocTaBJIeHHIO 06 anexrpone cmHMaIOlIeMCH IIO
UanpaBJIeHHIO IIBHmeHHH RaR J213BeCTHO IIOCJJe~HJlH laquopopMyJIa BLlshy
-eK8eT T8Kme J21a reopaa OTHOCHTeJIbHOCTH BBHoy 60JIbIIIOU IIpHHshy
ItBnB8JILHoit BaifHOCTH peIIIeHHH sonpoca 0 TOM HaHaH aa 3THX oBYX
OpMyJI 6JIHme OTBeIaeT ~eHCTBHTeJILHOCTH aa pa60TOH RaYlaquoPMaHa
UOCJIeoOB8JI ~JInHHLIU PH~ npyrax pa60T (Byxepepa HeUMaHa H np) H B03HHKJI8 IIOJIeMHHa ITpHqHHa aroro aaRJIIOqaeTCH B HCKJIIOIII shy
TeJILHOH TpyoHOCTH COOTBeTcTByIOmHX 3HCnepJ21MeHTOB H xpaane HaJIOR paaaanc B qHCJIeHHLIX peayasrarax oaBaeMLIX 06eHMH laquopopshy
-yJIaMH
Bce ynoMHHyTLle ascnepaaeararopsr HHTepnpeTHpOBaJJH CBOH
peaYJIbTaTLI B IIOJIhay laquopOpMyJILI JIopeHna-8uHIIITeHHa O~HalW 11X
_onHTLl He OhIJlH CBo60oUhI OT noapaaeeaaa BOJIee y6e~BTeJIbHLIe peayJIbTaTH6LIJIH nOJIyqeHLI rIOH JIaBaHmB H PaTHoBcRBM (1921 r)
i10 BX onHTLI 6LIJIH BhInOJIHeHhI C RaTO~HLIMH JIyqaMH B orpaaashy
~~qeBBOM HHTepB8JIe cxopocrea OT ~ = 02 no ~ = 05 I bull
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
aexoropsre epaRThI
Ilepnaa Ta6JIIIlla 6hIJIa ony6JIlIROBaHa MeH)IeJIeeBhIM B 1869 r
R 3TOMy BpeMeHII 6hIJIO 1I3BeCTHO OROJIO 63 3JIeMeHTOB O)lHaRO
npn pacnOJIOmeHlI1I IIX B cacrewy BhIlICHIIJIOCb ITO TOJIbRO
35 3JIeMeHTOB MomHO pa3MeCTlITb ysepeaao B COOTBeTCTBIIJi C IIX
aTOMHhIMII BeCaMJI IIOJIOmeHJle 8 3JIeMeHTOB BhI3hIBaJIO aenoyxeshy
nae Hanpnaep 6hIJIO HenOHlITHO nOIeMY Zn Cd JI Hg nonanaror
B O)lHY rpynny C Mg Ca Sr Ba erne 60JIbillee HeAoyMeHJle BhI3hIshy
BaJIO rroxenteaae Mn B onay rpynny C raJIOreHaMJI (T e B VII rpynny
nepHO)lJlIeCROii CJlCTeMhI) Haxonen )IJIlI OCTaJIbHhIX 20 3JIeMeHTOB
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
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39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
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rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
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HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
[
-r3
I~gtII~~
I
10] 3ABl1Cl1MOCTh MACChI 3JIEHTPOHA OT Era CHOPOCTII 39
He OCTaH3BJIlmaHCh aa HCTOpIIII BOlIpoca MLI paCCMOTpIIM
TOILHO pe3YJIbTaTLI lIOCJIe~HIIX pafior B HOTOpLIX yqTeHLI nee B03palKeHIIH C~eJIaHHLIe rro nonony npennrecrnyiomax HCCJIe~oshy
BaHIIH B onsrrax TpIIHHepa IIAeH HOTOpLIY npaaanaezaar n JI RarrIIIIe 6LIJIa IICrrOJIb30BaHa epoHyeIIpOBHa 1JIeHTpOHOB nposhy~OJIbHLIM MarHIITlILIM rrOJIeM COJIeHOII~a (CM sect 8) Pacxo~H~IIHCH nyqdH 1JIeHTpOHoB ncnycxaeasrx pa~IIoaHTIIBHLIM nponaparox A (pHC 19) co CHOpOCTHMII no ~ = 08 or-pana- B 1 qIfBaJICH HOJIbneBOH pIIaepparMoH C MarHIIT-
Hoe none COJIeHOII~a (He nonaaaaaoro na xepshyrexce) C06IIpaJIO 1TOT nyxox B epOHyce na epOTOshy
II1IeHHe E pacrrOJIOmeHHOH rro OCH npafiopa 31IeHTpOHLI BLI6paCLIBaeMLIe pa~IIoaHTIIBHLIM
npenaparox MomHO 6LIJTO yCHOpHTb IIJIII aashyMepJIHTb 1JIeHTpIIqeCHIIM rrOJIeM B 5000 V IIpIIHJTa~LIBaeMLIM Mem~y B II D IlpII CHOshy
pOCTH 1JIeHTpOHoB ~ = 08 ROTOpOH COOTBeTshy
crnyer yCHopmoIIIHR nOTeHIJIIaJI 3405 10middot V OTHOilleHIIe mlm lIO epopMyJIe JIopeHI~ashy3HHillTeI1Ha paBHO 1666 II3MelIeHIIe yCHOpHshy
IOIIIero lIOTelIIIIIaJIa na 5000 V BLI3LIBaeT II3shy
MeHeHIIe MaCCLI scero na 006 qTO JIemIIT
aa npenenaaa rrorpenraocrea onsrra Iloaroay nozre B 5000 V 3aMeTHO ycxoprrer I1JIII TOpshy
M03IIT BJIeHTpOHLI HO rrpaHTIIqeCHII He II3Meshy
HHeT IIX MaCCLI M3 epOPMYJILI (84) CJIe~yeT qTO H3MeHelIIIe CHOpOCTII na Av CMe~aeT eposhy
~yc na At = 21t~V
e bull PRC 19 CxeMa on~a
mQJ] Hanansr - Tpaxaepa
3HaR Av II 8 II II3MepHH At no cxemoamo epOHyca na epoTOlIJIeHHe
Momao orciona BLIqIICJIIITb elm M3MepeHIIH TpIIHHepa rrOHa3aJIII qTO rrpH CHOpOCTHX anexrposhy
HOB BnJIOTh no 08 CHOpOCTII CBeTa II3MeHeHIIe MaCCLI co CHOpOCTbIO
caenyer epopMyJIe JIopeHIJa - 3HHillTeHHa C TOqHOCTbIO B 1- 2 Tor~a HaH pa3HIII~a Mem~y pe3yJIbTaTaMII ~aBaeMLIMII epopMyIaMII
A6paraMa II JIopeHIJa - 3HHillTeHHa COCTaBJIHeT npa 1TIIX yCJIOshy
BRHX OHOJIO 5 DpyroH MeTO~ onpenanenaa 3aBIICIIMOCTII MaCCLI OT CHOpOCTH
)LIJI npIIMeHeH Ilanoa II ClIHCCOM (1938 r) M~eH 1TOrO MeTopa
cOCTOIIT B CJIe~YIOrueM
Ilycrr B A (pIIC 20) pacnonomen IICTOqHIIH BJIeHTpoHoB ECJIH
UMeeTCH onaoponaoe MarHHTHoe nOJIe 8 nepneunnxynapaoe
H rrlOCHOCTII qepTema TO rueJIII 8 1 H 8 2 BLIpeJIHT H3 rryqHa f
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
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6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
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63 Eu 164 Gd 1
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90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
40 aJlEHTPOH zr-o 3APRD H VACCA [rJl- I
Te aneHTpOBU CIWpOCTH KOTOpldX ynOBneTBOpHlOT yCJIOBHID
mvB =evd18 (103) f
Ile p- pannyc KpHBHaHld rpaexropaa onpenenaeuoii pacnonoaeeshyBBeM meJIen 818=83 OJIeRTpOHld npomenmae sepea IUeJIH 81
II 82
nonanaior aarex B xoanencarop C BBHny HaJIHqHH MarHHTshy
Boro nOJIH nepnennHRyJIHpHOrO R aJIeHTpHqeCRoMy 0101 ROHneHshy
carop cJIymHT lflHJIupOM (CM sect 9) ROTOpldH rrpoaaaonar 60JIee
TOqHYIO MOHOXpoMuTHaaIJHIO cnopocroa aJIeHTpoHoB B G pacnoaoshymeH Bocnp1IHHM81OIUHn npnfiop (CqeTqHR Iejirepa onacanae CM
B T II rtt XVIII) npa nOMoIUH xoropcro MOfHHO CqHTaTh ornecnasre aJIeKTpOHld npomenmae xepea nee meJIH II xonneacarop Onur
COCTOHT B TOM ITO npa naHHoH BeJIHqHHe Marshy
HHTHOro nOJIH nonfiapashy101 paaHOCTb nOTeHIJHshy
aJIOB rra nJIaCTHHR8X HORshy
neacaropa TaR 11061gt1 PIlC 20 Cxexa OUhITa Ilana H Cnacca qHCJIO 3JIeRTpOHoB peshy
rHCTpHpyeMIJX CqeTqlfshy
ROM G 6LNlO MaRCHMaJIhHhlM ECJIU rt - HanpHmeHHOCTb IIOJIH B
xonneacarope TO COrJIaCHO 1fl0pMyJIe (92) sepea Hero npoanyr TOJIhRO re aJIeRTpOHhI CROpOCTb ROTOpIJX ynoaneraopaer Tpe60shy
BaRBIO
raquo (92---- Q1e
ROM6HHIIpyll aTy pOpMyJIy C (103) nOJIylaew
e ~
m = clltz
OnIJTIJ Ilaaa II Cnacca TaR me RaR H OIIIJTIJ Hamn~IJ-TpIIRRepar nOHaa3JIII ITO pacxoacneaae Memny peayJIbTUTaMII BLIqHCJIeHHIJMU
no 1fl0pMyJIe JIopeHIJa - OlfHmTeHHa He npeBOCXOlJllT 15 nJIH CHOshy
pocreii 3JIeRTpOHoB ~ = 0745 TaHIIM otipaaon B HaCTOHIIJee BpeMH MomHO CqUTaTb ITO
cflopMyJIa JIopeHIJa - 8HHIIITenHa rronynana 3KcnepBMeHTaJIbHOe nonshy
TBepmneHBe B yKaaaHHIJX npenenax TOqHOCTB II nmr yxasaaaoro
HHTepBaJIa CKopOCTeH Ha OCHOBaHBII 06IUHX cootipaxrenaii HCHO ITO
HeT HBRliRIIX npaaan COMHeBaTbCH B npaBBJIbHOCTB aTOH qgtOPMYJIIJ nJI1t
Jl106IJX CKopOCTeH CROJIb yronao 6JIBaKBX K CKOpOCTB CBeTa OnHaRO
DpBHBMaH BO BHBMaHBe BIJnalOIUyrocH BamHOCTb aTOH qgtOpMyJIbi
RaH c TeOpeTHqeCHOH TaR B C BKcnepBMeHTaJIbHOH TOqRB apenaa
(CM B oc06eHHOCTB rJIaBIJ 06 aTOMHOM anpe B 0 HOCMnqeCRBX
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
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5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
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18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
~
11) 8J1EHTPOMArHHTHAH 11A CCA 4t
nysax) 6b1JI0 6b1 meJIaTeJIbHO HMeTb ~06aBOIHOe nO~TBepm~eHJ1 ee nna OOJIee mapoxoro HHTepBaJIa CHopOCTeH H C MaKCBManbHO5
TOtJHOCTblO nocryrmoa ua COBpeMeHHOM ypoBHe 3HcnepBMeHTanbshy
HOH TeXHHHB
sect 11 3JIeRTpOMarBHTBaa lIacca
B CBHaB C peaymraraua OnbJTOB YCTaHOBHBIllBX aaBHCHMOCTh
lIaCCLl 3nBKTpOHa OT ero CKOpOCTH MLl HpaTKO HOCHeMCR sonposhyca 0 TaK Ha3LlBaeMOH 3neHTpOMarHHTHOH Macce Yme B 1881 r ~m ~m TOMCOH BLlCHaaaJI H TeOpeTHleCKH 060cHoBan rrpennonomeshyHHe 0 TOM ITO BCR Macca 3neHTpOHa - 3neHTpOMarHIITHorO nposhyacxoamenaa (ho rrpennozrouceaae 6Llno Bnocne~CTBHB nennxoa npashyUlITO H pa3BHTO B oc06eHHOCTH r A Jlopeanesr A Ilyaaaaps bull M A6paraMOM
OCHOBaHHR ~nR raxoro npennoaozseaaa COCTOlIT B cne~YlO~eM
nOHOlI~HHCR 3neKTpOH ofirranaer roznxo 3neKTpOCTaTHleCKHIl
nonex eCJIH iRe era npHBeCTH B ~BHmeHHe TO B03HHRaeT e~eshy
H MarHHTHoe none aa coananae aoroporo uyanro aarparan aeKOTO-
pylO ~06aBOIHYlO patiory 06paTHo eczm OCTaHOBHTb ~BHiRYJllHHCH 3neKTpOH TO MarHHTHoe none ~onmHO npa 3TOM HCle3HYTb Ho HCle3shy
HOBeHHe MarHHTHoro nona no aaaoay HH~yKlJIfH BLl30BeT noasneaae 3neKTpHleCKOrO ~06aBOIHOrO noaa If zrerxo BH~eTb ITO OHO 6y~eT MeTb raxoe aanpannenae ITO 6y~eT CTpeMHTbCR ycxopnrr TOpshy
MOalIIlJHHCH 3neKTpOH Bee rrpoaoxonnr TaR KaK ocaa 6Ll C 1I0JIeM
3JJeKTpOHa 6bJJIa CBHaaHa HeKOTopaH ~06aBOIHaH HHepnHH ll03TOMy
MLl HMeeM npano paccMaTpBBaTb KOJIBleCTBO ~BHmeHlR snexrpoaa RaK CyMMy ~BYX onaraesnax laquo06LlKHOBeHHororaquo BnB MeXaHBleCKoro
ROJJHleCTBa ~BHmeHHH Pm H KOJJBleCTBa ~BBmeHHR QoycnoBneJlshy
11010 anepnaeii nona Pe
P=Pm+Pc no BTOpOMy aaaoay HblOTOHa
F= dp = dp + dpde de de bull
Ho HaMeHeHBe laquoMeXaUBleC(Wroraquo ROJJBleCTBa ~BHmeHBR d~ eCfh
npocTo mmV rne mm - laquoMeXaHBleCRalI Maccaraquo ECJJH MLl npencrashy
BBM B Pe RaR npoaanenenae mel) TO R03laquoplaquopBlJIfeHT me R 6y~eT 3neRTpOMarHBTHOH MaCCOH _
F=(mm+me)~=mv (111) r~e m = mm +me
BeJJHlBHa ~o6aBotJHoH MaCCLl me MomeT 6LlTb JJerKO BbIlHCJJeHR
UpB OUpe~eJJeHHLlX npennoaoaceaaax OTHOCHTenbHO CTpyKTypLl
aaexrpona B caaoa nene 3JJeKTpOH ~BBmY~HHcH co CROpOCTblO V
MOiRHO paccaarpanars RaR 3neRTpBleCRBiI TOR C nnOTHOCTblO tVshy
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
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T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
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18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
42 aJIEHTPOH Era 3APR)l If MACCA ern I
Era MarUUTHoe nOJIe B roxae P OTcToHl~eB aa paCCTORHUH r OT
l3JIeHTpOHa 6yneT n09ToMY ) rJJiJ = ev sin f bull
cr QJf)2
IIJlOTHOCTh auepraa aroro rrOJIR ecrr s~ a aaepraa B 9JIeMeHTe
06heMa dlaquo pacnonomeaaoa OROJlO TOIRH P 6yueT
QffJ2 e2v2 sin 2 11 2 dE=-s d-c= s 24 r smampdampdCfJ (112)
~c r ~
)lJIH OTLICRaHHR nOJIHOH SHeprHH CBH3aHHOB C MarHHTHLIM nonex )JOlTyCTHM caasana ITO SJIeltTpOH ecrs maparc panayca 0 H ITO
9JIeRTpHIeCTBO paBHOMepHO paenpeneaeao no ero nOBepXHOCTH
Toma nOJIe aayrpn ltlJIeKTpOHa 6yneT paBHO RyJIIO a BHe eroshy
pacnpeneaeuo CO clflepnIeCROB cHMMeTpHeH n nJIa OTLICKaHHR
DOJIHOH aaepraa MarHHTHOro rrOJIR cnenyer npoaarerpapoaars (112-no scex B03MomHLIM yraax amp n ep H no panayoy-nexropy r- OT r o ~o 00 IhaK HMeeM
00 2 e2v2
dr 3 e2v2 bull 3
E=S1oc2 ) 2 ~ dep ~ sin ampdamp=4f C2 ) Sin eza o
ro 0 0 0
HHTerpaJI no amp paBeH3 4
(CM sect 64) OKOHIaTeJIhHO aaxonax
(113)
ECJIH nOKOH~HHCR ltlJIeKTpOH non neHcTBHeM nexoropoii nuemshy
BeH CHJILI npanecra B nBMmeHHe co CHOpOCThIO v (MaJIOH no cpasaeshyHHIO co CKOpOCThIO CBeTa) TO pafiora ROTOpyIO npH STOM aeofixoshy
PHMO 6yneT 3aTpaTHTh nOH)JeT He TOJIbRO aa yBeJIUIeHHe RHHeshy
THleC~oli anepr-aa OT 0 no ~ mmv2 HO H na C03naHHe MarHHTHoro
DOJIR C aaepraeii (113) Pe3YJIhTaT CJIenOBaTeJIhHO 6yueT TaKoH
K8K eCJIU 6Id Macca ltlJIeRTpOHa 6LIJIa tiouaue mm IJ06aBOIHaR
Macca me orrpeneJIHTCR H3 yCJIOBHH
1 1_ 1 ev 2
mev --3~ ~ roc
crrcyna
(114)
Peayznrar 9TOT HaR BHnHO H3 npemrnyntero nonysea na OClIOshy
BaHHH npennOJIOaeHHR 0 nOBepxHOCTHOM pacnpeneJIeHHH SJIeRTpHshy
) Ca aanpaaep P E e K K e p TeopHH weKTpHIeCTBa T II CTp 43 Iocrexaaga r 191t1
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
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44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
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6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
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90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
43 sect 11 3JIEHTPOMArHHTHAH MACCA
xecrna Ilpa npyrax npennonoareaaax nOJIyqalOTClI HeCHOJIbHO ()TJIHqHLIe peaynsraru Hanpaaep B CJIyqae nonymenaa 06beMshyHOrO pacnpeneneuaa lIO cqiepe panayca r BLIqHCJIeHHe naero
2 e (115)me = -5 -2 bull roc
KaH yzae 6LIJIO caaaaao B nasane paaBHTHH 3JIeHTpoHHoil TeoshypHH nOJIyqHJIO mapoxoe npaaaanae npennoaoaeeaae 0 TOM qTO 6CR xacca 3JIeHTpOHa - 3JIeHTpOMarHHTHoro rrpoacxoameaaa T e ITO mm= 0 H me= m 8TO npennonozsenae HaH HaaaJIOCb nonshyTBepiRrtaJIOCb TeM qTO qiopMyJIa rtJIlI aaSHCHMOGTH MaCCLI OT CHOshypOCTH HailrteHHaR JIopeHIJeM aa OCHOBallHH rHnOTeaLI 0 qHCTO 3JIenTpOMarHHTHOH npapone MaCCLI
m o (116) m= V1-(~Y
JJaeT peaynsrarra XOpOIIIO nO)lTBepiR)laeMLIe OnLITOM O)lHaHO lTOT apryaear B HaCTOllIIJee BpeMlI He MOiReT cxararrca y6eAHTeJIbHLIM Tan HaH Ha TeopHH OTHOCHTeJIbHOCTH CJIe)lyeT ITO ~ro6aR Macca HeaaBHCHMO OT ee npOHCXOiR)leHiIlI )lOJIiRHa aaaacers OT CHOpOCTIiI no qiopMyJIe (116) Il05ToMy aa roro qiaHTa ITO 4)opMyJIa (116) nonrnepamaerca onLITOM aaxaxax aaxmoseaaa 0 npOIiICXOil(rteHHH liaCCLI 5JIeRTpOHa cnenarr HeJIball
Ilpennorroxreaae 0 TOM ITO BClI Macca 5JIeRTpoHa 06yCJIOBJIeHa ero 5JIeRTpOMarHHTHLIM nOJIeM nOaBOJIlIeT BLIqHCJIHTb TaR uaasrsaeshyliLIit laquoHJIaccHqecRHli panaycraquo 5JIeHTpoHa lDopMyJILI (114) H (115) AalOT COOTBeTCTBeHHO )lJIlI nonepxaocraoro H 06beMBOrO pacnpeshy)leJIeHIiIH aapH)la
2 e2
(114)r O = 3 mc2
2
e (115)r o= 1) -mca bull
06a BLIpaiRemUI MaJIO OTJIHqalOTCH rtpyr OT npyra ) IlOCROJIbRy
) HeTpyJJHO y6eJJRTbclI B TOM lTO MKHHMalIbHaH BelIKlIma epaaaycas IIOKOHmerOCH 31IeKTpOHa COBMeCTHMalI C rRIIOTeaOR 0 1KCTO 31IeKTpHIecKoM
1 e2 bullbull IIPORCXOlRJJeHHK MaCChi ecrs -2 -2 B caMOM JJeJIe HanplIlReSHOCTb 3JIeKTpOshy
mc CTaTRIeCKOrO IIOJIH TOleIHOrO aapnna eors
e ~ =72
llOJJHaH 3HeprKH uoJIH paBHa
E=~ ~2d8~ )
UJIII BhIIIIClIeHKII E lIOuyCTHM OUIITb ITO aapan paCIIOlIOlReH aa DOBepXHOCTII ciflephl panayca a Iorna BHyTpH ciflephl ~ paBHO Hymo II ~VIIl BhIIIICJIeHIIII
44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
mo6J1e lIlnOTe8LI 0 CTpyRType anexrpoaa noxaeme COBepmeBBO npOB3BOJlLBH 1l0JRHO aoofime He ClJBTaTLCH C MHomHTemUDI
nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
DpOCToe lIypameURe
(117)
QRclIeHHoe 3HalJeHDe r BLIlJRCJJHeMOe no ltgtOpMylIe (117) 06 lillJHO B Ha3LIBaeTCH (RnaCCHlJeCRBIol pa~DycoMraquo 3JIeRTpoBa Hait~e)l ero BenBlJOHY
e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
Ilpauoro 3RcnepOMeHTaJILHOrO MeTo~a onpeneaeaaa cpanayca 3J1eRTpOHa) He cymecrayer I1MeIOTcH O~HaRO ltgtaRTLI YRa3L1BaJO- mae aa TO ITO laquoaltgtltgteRTHBHoe CelJeBDeraquo aJIeRTpOHa ofiaapyaeashyaaoxoe OM nanpaaop npB B3aBMo~eitcTBHH CO CBeTOM - nopanxa7 TaR aanpaaep reopaa pacceanaa peHTreHoBcRBX JIylJen CBOshy60~HLlIlO anearpoaaaa npBBo~BT R BhIpameHHIO ~nH altgtltgteRTBBshyBoro CelJeHBH aneurpoaa (CM sect 32)
811 ( e2)2 811 2 dege=-3- mes = 3 roo
Tea He ueHee npe~CTaBJIeHBe 06 aJIeRTpOHe RaR 06 meHTpHIeCHOli aapsne 3aHDMaIOmeM 061gteM panaycox nopanaa 70 HBHO HeCOCTORshyTelILHO 8TO caenyer yme D3 roro ITO CDJILI yneprsaaajomae 3TOT 3apH~ B ROHelJBOM 061gteMe He MoryT 6L1Th TOJIhRO 3JIeRTpOMarHHTshyBLIMO B caMOM ~eJIe npa OTCyTCTBDD ~pyrDx CDJI nOMHMO 3JIeRTpOshyMarHBTHhIX 3JIeRTpOH He MOl 6hI coxpaaarr CBOIO YCTOHlJHBOCTL 113aBMHoe 3JIeRTpOCTaTBlJeCROe OTTaJIRBBaHBe lJaCTeH JII06L1M otipaaox
BOJIHOH 9HeprHH noarr aarerpaposanae no r CJIe~yeT BblnOJIHHTL (HaM a eTp 42) OT a ~o 00
21 11 00 S
E = C ( dP sin l ze r t = e bull 811 ~ J ) r 2a
o 0 a CorJl8CHO Teops OHOCBTeJlLHOCTB (CM sect 61) JIlo60il 8HeprHH E COOTBeTcTByeT
lJ Macca (l nOlroMY sootime roaopn
E e2
m=mm+Ci=m+ 2acs
~onYCM8R ITO laquoMeX8I1BIeCHaRraquo MClcca m = 0 noaysaea
eS
a= 2mc
ea 1 ea Ecaa m =1=0 TO agt limeS HT8K 2 mca ecrt ~eHCTBBTeJILHO HHIRHHH npe-
AeJl laquopaAUlcaamp aJI6H7pOHa
i 11 aREHTPOMArHHTHAH MACCA 45
pacnpeneaeaaoro sapana B 06beMe nopanaa (10-13r~ HeaoIHyeMhIM
ltl6pa30M pOJImHO 6hIJIO 6hI II B30pBaTIraquo meRTpOH
M3 9Toro CJI~pyeT ~TO PJIH paBHOBeCHH 9JIeRTpOHa He06xopHMO
nOUyCTHTI cymecrnoaaaae npyrax CHJI RpOMe 9JIeRTpOMarHHTHhIx
A B TaROM cnyaae H Macca 9JIeRTpOHa He MomeT 6hITI ~eJIHROM ofiycnoshysneaa saepraea 9JIeRTpOMarHHTHoro nOJIH Cnenyer 3aMeTHTI Bo06~e TIO np06JIeMa npaponsr 9JIeRTpOHa eCTI O[Ha 113 TpYPHeHIllllX
H e~e nepemeaaux np06JIeM COBpeMeHHOH TeopeTH~eCROH ltpH3HRH
Aony~eHHe xoaesaoro panayca 9JIeRTpOHa He MomeT 6hITI cornashycouano C Tpe60BaHIIHMH reopan OTHOCHTeJIIHOCTH a npencraanenae o TOQeqHOM 9JIeRTpOHe BepeT R ppyrHM CePIe3HhIM 3aTpY[HeHHflM
e2
TaK KaR npH ro~O c06CTBeHHaH 9HeprHH 9JIeRTpOHa - CTpeMHTCHro
K 6eCROHe~HOCTH PaCCMOTpeHHe OTHOCH~HXCH CIOpa BonpOCOB BhIXOshy
)lRT aa paMRH HaCTOH~eH RHHrH ) XOTH TaRHM 06pa30M CBe[eHHe eceii MaCChI 9JIeRTpOHa Ilt 9JIeRTpOshy
MarHHTHOH Macce He MomeT- C~HTaFICH onpannaaasm HeCOMHeHHO
~TO ~aCTI ero MaCChI-9JIeRTpOMarHIITHoro rrpoacxoaoteaaa OTRphITHe 9JIeRTpOHa yCTaHOBJIeHHe y Hero 9JIeKTpOMarHlITHOH
MaCChI H 3aBHCHMOCTH MaCChI OT CIWpOCTH HaROHe~ pOHa3aTeJIICTBO
roro ~TO 9JIeHTpOHhI HBJIHIOTCH COCTaBHOH ~aCTIIO ncex aTOMOB
Be~eCTBa-Bce9TH HOBhIe ltpaRThI OTHphIThIe B HOHIJe XIX H B aaxane XX CTOJIeTHH npOH3BeJIH na cOBpeMeHHHHoB Bne~aTJIeHHe nOJIHOH
lIOMKlI causrx OCHOBHhIX npHH~IInOB na HOTOphIX nOHOHJIOCI anaaae ltp1I3HKH hOH JIOMHOH HeMepJIeHHO BOCnOJII30BaJIHCI ltpHJIOC0ltphIshy
Hl-eaJIlICThI 06bHBHBillHe 0 (ltHpH3HCe ltpH3HHHraquo 06 laquoHCQe3HOBemUI
Ma-cepHHraquo H laquoxpaxe MaTepHamI3Maraquo JIeHHH B CBOeM reHHaJIIHOM
np01l3Be[eHHH laquo~aTepHaJIH3M II 9MnHpHOHpHTH~H3Mraquo nO[Bepr yHHshy
~TomaIO~eH HpHTHHe 9TH YTBepm[eHHfL OH nOKa3aJI ~TO HOBhIe
OTlphITHH B ltpH3HHe na caMOM nene HBJIHIOTCH HpHHM nozrmepzsneshyHHeM pHaJIeHTH~ecHoro MaTepHaJIH3Ma laquoMaTepHH Hc~e3aeTshy
nnnrer JIeHHH-9TO 3Ha~HT acneaaer TOT npenen [0 xoroporo MhI 3HaJIH MaTepHIO PO CHX nop Halle 3HaHHe H[eT rJIy6me Hc~e3aIOT
Talme CBOHCTBa MaTepHH xoropsro Ha3aJIHCI paasnre a6COJIIOTHhIMH
HeH3MeHHhIMHnepBOHa~aJIIHhIMH(HenpOHHnaeMOCTIHHep~HHMacca H T n) II xoropao reneps 06HapymHBaIOTCH HaH OTHOCHTeJIIshy
mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
sect 12 Bnenenae
Ilpensmyntaa r-nana 6MJIa nOCBII~eHa aroay OTpHnaTeJIhHOrO
3JIeHTpH~IeCTBa-imeHTpoHy-HaH O~~HOtt H3 BaiImettmHx 3JIeMeHTapshy
HUX TJaCTBD MhI pacCMOTpeJIH gOHaSaTeJIhCTBa peaJIhHOCTH 3JIeHTpOHa
a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
aenrecraa )]OHaSaTeJIhCTBa peaJIhHOCTH aTOMOB necsjaa paaaoofipaama
II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
HhIMH aTOMUhIMD MaccaMH DJID aTOMHhIMH necasra nplITJeM sa yCJIOBshy
UYIO egDUDny 6epeTcII 116 aroaaoro neca HDCJIOpOlJa HOTOphIiI CTJDshy
TaeTCII paBULIM TOTJUO 16 Onpenenenae aTOMUhIX BeCOB npoaanonarca
c MaHpOCHOrrlITJeCHDMH HOJIDTJeCTBaMD aemecrsa npa rrocpencrne
XlIMHTJeCHHX aUaJIDSOB IIOJlyTJaeMhIe TaHlIM nyTeM TJUCJIa DMelOT
or-pouaoe npaHTHTJeeROe 3IIaTJeUDe D JIeiIaT B OCHOBe ncex XlIMlITJeCHlIX
paCTJeTOB ECJIlI npennonoxrarr HaH sro D geJIaJIOCh go cpaBIIDTeJIhHO
nonanaero BpeMeIIlI ITO ace aTOMhI nannoro 3JIeMeUTa DMelOT ozraaashy
rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
B OIJUOM MOJIe JI1060ro aenrecma COlJepmHTCR O)JIIO H TO me HOJIlIlJeshy
CTBO MOJIeKyJI Momuo rrpD nOMOrnD XDMHTJeCHOrO arojnroro neca
BLITJllCJIDTh H a6COJI1OTHy1O Maccy aTOMa
B 3TOll rnaae MhI YBDIJDM O)JHaHO ITO XDMDTJeCHHe aTOMHhIe
neca He )Ja1OT BOSMomIIOCTD BhITJDCJIHTh a6COJI1OTUhIe MaCChI aTOMOB
TeM He MeHee HCTOpHTJeCKD SHaHDe XDMDqeCKDX aTOMHhIX BeCOB
6hIJIO BaHHO He TOJIhHO C npaxranecxoa TOTJKD speHDII IIO H nOTOMy
ITO C DX noxomsro 6hIJIa OTKphITa BamHenmalI 3aKOHOMepUOCTh
CBIIShIBRlOrnalI aTOMhI paSJIHTJHhIX aJIeMellTOB Mempy C0601O ha saKOHmdepIIOCTh rrpOHBJIlIeTCII B nepaomraecnoa CDCTeMemiddot 3JIeMeHTOB
Il H Menneneena C paccaorpeaaa xcropoa MhI H HaIHeM 3TY
rJIa2Ymiddot
13] llEPMODWIECHAfl CHCTEMA 3JIEMEIITOB D H MEHJJEJIEEBA 47
sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
~ecHHx 3JIeMeHTOB II eCTeCTBeHHO B03HHR norrpoc e-cnaaaau JIJr
3TH 3JIeMeHThI RaR-HH6y)lb Mem)ly C060H HJIH HX cnoncrua co sepshy
IlleRHO CJIYIaHHhI II He 3aBHClIT npyr OT zrpyra Pa3JIIIIHhIe IaCTHhIe
aaROHOMepHOCTII 6hIJIII OTRphIThI cpaBHHTeJIbHO pano HO TOJIbRO
Il M MeH)IeJIeeBy ynazrocs nrrepnsre HaHTII 06rnIIH 3aROH CB1I3hIshy
BaIOrnHH nee 3JIeMeHThI B e)lIIHyIO CIICTeMY xoropaa lIBJIlIeTClI HaH60JIee
HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
roro ITo6hI npa BIIJIbHO OlleHIITb reHllaJIbHYIO IIHTyHllIIIO 6JIaro)la pH
HOTOpOH MeH)IeJIeeB OTHphIJI CBOIO CIICTeMY neofixozmsro HanOMHIITb
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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La I--- --shy
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22605223 22705 X~Q
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39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
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5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
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54 ATOMbI M30TOrrbI [NI II
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a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
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Z2 A2 e (101)=Sm
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Z2 - m = IiA2
x (141)
z
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44 3J1EHTPOH Ero 3APR)l J( )lACeA ErJr 1
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nopanxa f (T e OlID ) D nOlIYlJBTL ~JJH r CJJeUYIOmee
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(117)
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e e 480 10-10 176 107 = 28 10-18 CM7 _ c me = 3 1010
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811 ( e2)2 811 2 dege=-3- mes = 3 roo
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m=mm+Ci=m+ 2acs
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mre npHCY~He TOJIIHO HeHOTophIM COCTOHHHHM MaTepHH 1160
eouuemeeunoe CBOHCTBO MaTepHH C npH3HaHHeM rcoroporo CBH3aa
qgtHJIOCOltpCHHH MaTepHaJIH3M eCTI CBOHCTBO 6bzmb o6gtemU8lfoil peaseuocntuo cymecrnoaarr BHe aamero C03HaHHflraquo )
) Ilonpofiaee CM A- 11 B a II e H 1 0 H A C 0 1 0 JI 0 B Hna~lIqec1afl T90pHfI nOJIfI (HOBIIe rrp06JIeMhI) rJI IV sect 30 Iocrexaanav 19 9
j B 11 JI e H H H Ma-repaanaax 11 ~MnHptlO1pIITIU~JlaM cJp 243 rocshytlollflTH3ga T 1948
fJIABA 11
ATOMbI H30TOIlbI
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a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
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II xopomo HSBeCTHhI HS 3JIeMeHTapHhIX HypCOB epHSHHH H XHMHII
noaroxy MhI He 6ygeM OCTaHaBJIHBaThCII na 3THX gOHaSaTeJIhCTBaX
II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
B XHMlID 06hITJHO nOJIhSYIOTCII He a6COJIIOTHhIMD a OTHOCHTeJIhshy
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HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
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B IaCTHOCTJI OU npencxaaan cyntecraoaanae rpex 3JIeMeUTOB ROTOshy
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nepHogaMH TeOpeTHqeCRH 60JIee 06ocHoBaHa Ta6JIH~a C gJIHHHMMH
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pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
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11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
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54 ATOMbI M30TOrrbI [NI II
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sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
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JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
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a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
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44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
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55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
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58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
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a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
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a TaHiIW uenocpeztcmeamae onpeneneaaa BCJIHTJHHhI ero sapana
H MaCChI B nacroamen raane MhI nepexonaa I paCCMOTpeHHIO aTOMOB
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II cocpenoro-mx BHHMaHHe npezane ncero na BaiHHeiImeiI xapanrepashy
CTHHe aTOMa -ero Macce
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rconyio Maccy TO nOJIhSYHCh saHOHOM Anoranpo CorJIaCUO KOTOpOMy
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sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
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HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
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T~a 6)i H Da it 2 Het H 4003t0080 -
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18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
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158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
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22605223 22705 X~Q
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39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
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sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
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JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
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a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
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sect 13 Ilepaonaxecsaa ClICTeMa aJIeMeHTOB )J H MeHIJeJIeCB8
R cepemme X IX B 6hIJIO OTHphITO 60JIbiliOe HOJIJlIeCTBO XHMIIshy
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HpHHM supaaceaaea 06rnHOCTII B CTpoeHHII aTOMOB IlJIH
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26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
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22605223 22705 X~Q
69 Tn1694
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39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
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22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
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rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
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middot~JiIOinl Bll~HO ITO nee ara CBOHCTBa He rozirxo HcnLITLIBaIOT nepaoshy
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T e ITO see 9TH CBOHCTBa 06HapymHBaIOT of)unaK06Y1O nepHO~HIshy BOCTb
BHeIDHHe ltJOpMLI ROTopLIe MoryT 6LITb npH~aHLI eCTeCTBeHHoii
CHCTeMe 9JIeMeHTOB aecsxa pa3Ho06pa3HLI Ha1I60JIee pacnpocrpashy
ueHHLIMH HBJIHIOTCH Ta6JIllIJLI ~BYX BH~OB-C ~JIHHHLIMH H ROpOTRHMl
a B muelJLcRIIA T I
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sect 13] nEPllOpnQECRAH CllCTEMA 8JIEMEHTOB p n MEHPEJIE EBA 51
nepHogaMH TeOpeTHqeCRH 60JIee 06ocHoBaHa Ta6JIH~a C gJIHHHMMH
nepaonaxn (Ta6JIH~a II na CTp 52) Paccxorpaa nOCJIegoBaTeJIbHMe pHAM aTOM Ta6JIH~M ITepBMlI
pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
aJIeMeHTOM BOgOPOgOM H saRaHqHBaeTCH 6JIaropogHMM raaox reJIHeM
TPeTHM aJIeMeHT-JIHTHlI-CHoBa OAHOBaJIeHTeHj OH HBJIHeTCH THnHqshy
HMM MeTaJIJIOM H 06JIaAaeT peSRO BMpameHHMMH lI(eJIOqHMMH cBOlIshy
Al)O_---ltgt- _-00- oa
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I
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PRe 23 IIeplIOpllQROCTb ltpH31IQeCKlIX CBOHCTB BepXHIUJ KpHBaR-06paTRbIe
1 kk bullTeMIIepaTypbI nJIaBJIeHlIlJ T 104 CpepHRIJ xpaaaa - K09iilIIWeHT JIlIReUHOro
pacmapeaaa ~ 10amp HII)ltRRIJ KplIBalJ-K09centicentiHIHeHT ClRHMaeMOCTH lCmiddot 106 bull
B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
CTBaMH ITo Mepe nponaaareaaa nnpaao 06a aTH CBOMCTBa aaMeTHO
OCJIa6JIHIOTCH H nOCTeneHHO npOHBJIlUOTCH CBolIcTBa npOTHBOnOJIOmshy
mre HaROHe~ geBHTMH aJIeMeHT-ltpTop-ORaaMBaeTCH aarunonou
JIHTHfI OH flBJIHeTCfI THnHqHMM MeTaJIJIOH)JOM H 06JIagaeT peSRO
BLIpamemrnMH RHCJIOTHMMH CBolIcTBaMH IJaJIee cnenyer 6JIaropogshy
BLIH raa HeOH a aa HHM lI(eJIoqHOlI MeTaJIJI HaTpHH (M 11) II BCH
xaprana npezrsmymero nepaona nOBTopHeTCH TaR qTO xepea aoceus 3JIeMeHTOB (CqHTaa H HaTpHH) MM BHOBb ncrpeaaea lI(eJIOqHOH MeTaJIJI
RaJIHH ROTOpOMy npenmecrnyet 6JIaropogHMlI raa apron (M 18) Ilepexon OT THnHqHMX MeTaJIJIOB R THnHqHMM MeTaJIJIOHAaM rrpoacxoshy
nHT xepea laquoaMltpoTepHMHraquo aJIeMeHT-RpeMHnlI (M 14) ROTOpMit 06shy
zranaer gByMfI MogHltpHRa~HHMHMeTaJIJIHqeCROlI H HeMeTaJIJIHqeCROB
-- ---
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T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
~
18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
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50 A TOMbbullH30TOllhI rlI- U
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sect 13] nEPllOpnQECRAH CllCTEMA 8JIEMEHTOB p n MEHPEJIE EBA 51
nepHogaMH TeOpeTHqeCRH 60JIee 06ocHoBaHa Ta6JIH~a C gJIHHHMMH
nepaonaxn (Ta6JIH~a II na CTp 52) Paccxorpaa nOCJIegoBaTeJIbHMe pHAM aTOM Ta6JIH~M ITepBMlI
pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
aJIeMeHTOM BOgOPOgOM H saRaHqHBaeTCH 6JIaropogHMM raaox reJIHeM
TPeTHM aJIeMeHT-JIHTHlI-CHoBa OAHOBaJIeHTeHj OH HBJIHeTCH THnHqshy
HMM MeTaJIJIOM H 06JIaAaeT peSRO BMpameHHMMH lI(eJIOqHMMH cBOlIshy
Al)O_---ltgt- _-00- oa
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I
IrQ
T 0
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PRe 23 IIeplIOpllQROCTb ltpH31IQeCKlIX CBOHCTB BepXHIUJ KpHBaR-06paTRbIe
1 kk bullTeMIIepaTypbI nJIaBJIeHlIlJ T 104 CpepHRIJ xpaaaa - K09iilIIWeHT JIlIReUHOro
pacmapeaaa ~ 10amp HII)ltRRIJ KplIBalJ-K09centicentiHIHeHT ClRHMaeMOCTH lCmiddot 106 bull
B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
CTBaMH ITo Mepe nponaaareaaa nnpaao 06a aTH CBOMCTBa aaMeTHO
OCJIa6JIHIOTCH H nOCTeneHHO npOHBJIlUOTCH CBolIcTBa npOTHBOnOJIOmshy
mre HaROHe~ geBHTMH aJIeMeHT-ltpTop-ORaaMBaeTCH aarunonou
JIHTHfI OH flBJIHeTCfI THnHqHMM MeTaJIJIOH)JOM H 06JIagaeT peSRO
BLIpamemrnMH RHCJIOTHMMH CBolIcTBaMH IJaJIee cnenyer 6JIaropogshy
BLIH raa HeOH a aa HHM lI(eJIoqHOlI MeTaJIJI HaTpHH (M 11) II BCH
xaprana npezrsmymero nepaona nOBTopHeTCH TaR qTO xepea aoceus 3JIeMeHTOB (CqHTaa H HaTpHH) MM BHOBb ncrpeaaea lI(eJIOqHOH MeTaJIJI
RaJIHH ROTOpOMy npenmecrnyet 6JIaropogHMlI raa apron (M 18) Ilepexon OT THnHqHMX MeTaJIJIOB R THnHqHMM MeTaJIJIOHAaM rrpoacxoshy
nHT xepea laquoaMltpoTepHMHraquo aJIeMeHT-RpeMHnlI (M 14) ROTOpMit 06shy
zranaer gByMfI MogHltpHRa~HHMHMeTaJIJIHqeCROlI H HeMeTaJIJIHqeCROB
-- ---
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--- ---
T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
~
18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
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Pile 25
sect 13] nEPllOpnQECRAH CllCTEMA 8JIEMEHTOB p n MEHPEJIE EBA 51
nepHogaMH TeOpeTHqeCRH 60JIee 06ocHoBaHa Ta6JIH~a C gJIHHHMMH
nepaonaxn (Ta6JIH~a II na CTp 52) Paccxorpaa nOCJIegoBaTeJIbHMe pHAM aTOM Ta6JIH~M ITepBMlI
pan COCTOHT scero HS gByX aJIeMeHTOB OH HaqHHaeTCH ogHoBaJIeHTHMM
aJIeMeHTOM BOgOPOgOM H saRaHqHBaeTCH 6JIaropogHMM raaox reJIHeM
TPeTHM aJIeMeHT-JIHTHlI-CHoBa OAHOBaJIeHTeHj OH HBJIHeTCH THnHqshy
HMM MeTaJIJIOM H 06JIaAaeT peSRO BMpameHHMMH lI(eJIOqHMMH cBOlIshy
Al)O_---ltgt- _-00- oa
_
~ I
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I
IrQ
T 0
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PRe 23 IIeplIOpllQROCTb ltpH31IQeCKlIX CBOHCTB BepXHIUJ KpHBaR-06paTRbIe
1 kk bullTeMIIepaTypbI nJIaBJIeHlIlJ T 104 CpepHRIJ xpaaaa - K09iilIIWeHT JIlIReUHOro
pacmapeaaa ~ 10amp HII)ltRRIJ KplIBalJ-K09centicentiHIHeHT ClRHMaeMOCTH lCmiddot 106 bull
B MeCTaX 0603HaQeHHbIX nyHKTHpOM AOCTOBepHbIX CBepeHHH HeT
CTBaMH ITo Mepe nponaaareaaa nnpaao 06a aTH CBOMCTBa aaMeTHO
OCJIa6JIHIOTCH H nOCTeneHHO npOHBJIlUOTCH CBolIcTBa npOTHBOnOJIOmshy
mre HaROHe~ geBHTMH aJIeMeHT-ltpTop-ORaaMBaeTCH aarunonou
JIHTHfI OH flBJIHeTCfI THnHqHMM MeTaJIJIOH)JOM H 06JIagaeT peSRO
BLIpamemrnMH RHCJIOTHMMH CBolIcTBaMH IJaJIee cnenyer 6JIaropogshy
BLIH raa HeOH a aa HHM lI(eJIoqHOlI MeTaJIJI HaTpHH (M 11) II BCH
xaprana npezrsmymero nepaona nOBTopHeTCH TaR qTO xepea aoceus 3JIeMeHTOB (CqHTaa H HaTpHH) MM BHOBb ncrpeaaea lI(eJIOqHOH MeTaJIJI
RaJIHH ROTOpOMy npenmecrnyet 6JIaropogHMlI raa apron (M 18) Ilepexon OT THnHqHMX MeTaJIJIOB R THnHqHMM MeTaJIJIOHAaM rrpoacxoshy
nHT xepea laquoaMltpoTepHMHraquo aJIeMeHT-RpeMHnlI (M 14) ROTOpMit 06shy
zranaer gByMfI MogHltpHRa~HHMHMeTaJIJIHqeCROlI H HeMeTaJIJIHqeCROB
-- ---
--- -- ---- ----- ---
--- -- -- ------- -- ---
------ ------
---- ------ -- ----- ------ --------- -----
--- ---
T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
~
18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
-- ---
--- -- ---- ----- ---
--- -- -- ------- -- ---
------ ------
---- ------ -- ----- ------ --------- -----
--- ---
T~a 6)i H Da it 2 Het H 4003t0080 -
5 B 6 C 7 N 10 Ne804 Be 9F8Li 120101082 20183902 14008 16LOCV6940 19000
~
18 Ax14 Si 12 Mg 13 Al 15 P 17 CI 16 S11 No 2697 399442806 354572432 3098 320622997
~
26 Fe 27 Co 36 Kr20 Ca 21 se 81 Ga 35 Br82 Ge 83 As19 K 22 Ti 28 V 124 cr 25 Mn 34 se28 Ni 129 Cn 80 Zo 5585 58944510 4790 5095 5201 5493 6972 8373g096 4008 7491 799167260 7896-~69 6357 6538
44Ru 45 Rh 46 Pd 47 Ag 43 Te 48 Cd 54 Xe38 Sr 39 Y 40 Zr 41 Nb 42 Mo 49 In 51 Sb 52 Te37 Rb 53 J50 Sn 9595 99 1017 10291 10671 1L788L 112419291 114768548 8763 8892 9122 11870 12176 12761 12692 1313
---shy
158-71 75 Be74 W 77 Ir 79 Au73 To 76 Os 78 Pt 80 Hg 86 Rn56 Ba 57 La CII 72 Hi 81 n 83 Bi 84 Po82 Pb 85 At65 Cs 18631 193118088 1839213892 pllQ 1902 19523 1972 2006113736 1786 20439 22213291 20721 20900 210 211
La I--- --shy
90-96 87 Fr 88 Ra 89 Ac CII
22605223 22705 X~Q
69 Tn1694
PIIA 158 Ce 159 Pr60 Nd61 pml62 sml63 Eu 64 Gd 65Tb 66 Dy 67 Ho 168 ErlIaHTaBBQoB 140131409214427 15043 1520 1569 1592 1624616494 1672
a~TAOB 12~2~f2 9Ua 12~~~79~3~pI9iarx9524~mI9~4~ml I I I I I 1-I
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
--
T a 6 nH IU IIImiddotmiddot
I I I II I III I IV I V VI
VII I VIII roI I 1 H 2 He 1 10080 ~003
3 Li 9 F 5 B 4 Be 6 C 10 Ne 7 N 802 6940 1082902 2011312010 14008 160000 19000
11 Na 13 Al 12 Mg H Si 17 Cl 18 Ar15 P 16 S3 22997 26972~32 399~42806 354573098 3206f-shy 19 K 21 se20 Ca 22 Ti 23 V 25 Mn 2~ Cr 26 Fel27 Col 28 Ni
39096 510gt008 5585 5894 58695~93gt790 5095 52014
29 Cu 30 Zn 31 Ga 36 Kr32 Ge 33 As 35 Br 3~ Se 65386357 6972 8377260 7491 7896 79916
-37 Rb 38 Y fO Zr38 Sr 43 Tc aNb gt2 Mo 44Rul~5 Rhl6 Pd 85~8 8892 9122 99 101710291106719291 95958763
5 54 Xe49 In 50 Sn 47 A~ 48 Cd 51 Sb 53 J52 Te
107880 11241 131311gt76 11870 12176 middot12761 12692
55 Cs 57 La 73 Ta 7 W 75 Re56 Ba 12Hf 76 osl77 Ir I 78 Pt 13291 13892 1902 1931 [195 23 18088 1863113736 1786 18392
6 86 Rn79 Au 81 Tl 83 Bi 82 Pb80 Hg 84 Po 85 At
1972 20439 20900 2222072120061 210 211 -
87 Fr 89 Ac 88 Ra7 223 2270522605
58-71 ]58 Ce 1 59 Pr r60 Nd 61 Pm 162 Sm 1
63 Eu 164 Gd 1
65 Tb 1 66 Dy 1 67 H~168 Er 169 Tu 1 70 Yb I 71 Lu I
PHll~Ta- HO13 14092 14427 15043 1520 1569 1592 16246 16494 1672 1694 17301 17499 I
90-96 90 Th 191 Pa j- 92 U 193 Np 194 Pu 195 Am 196 Cm IPHP 23212 231 23807 237 239 241 2gt2I aKTIIHIlpOB
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
54 ATOMbI M30TOrrbI [NI II
CJIenYIOrnlIll qeTBepThIll nepaorr UaqIIUaIOIIJlIllCH RaJIlIeM aashyRJIIOqaeT yme ue 8 a 18 8JIeMeUTOB TaR RaR CJIenYIOrnlIll aa RaJIlIeM rneJIOqUOll MeTaJIJI-py61InlIll-CTOIIT yme na 37-M MeCTe 3a py61IshynlIeM cnenyer UOBhIll 60JImOll nepnon raroxe COCTOHrnlIll aa 18 8JIeshyMeUTOB II aaRaUqlIBaIOrnlIllCH na 54-M MeCTe 6JIaroponuhIM raaosr RceUOUOM IlaJIee CUOBa lIneT menouaon MeTaJIJI uealIll (M 55) ROTOphIll orxpraaaer caMhIll nJIIIUUhIll nepnon conepmarnlIll 32 8JIeshyMeUTa Cpen1I 8TlIX 32 8JIeMeUTOB OC06yIO rpynny o6paaYIOT CJIenyIOshymae aa JIaUTaUOM 14 8JIeMeUTOB OT 58-ro no 71-ro-penRlIe aeMJIII IIJIII (ltJIaUTaUIInhIraquo -06JIanaIOrnlIe CTOJI 6JIlIaRlIMlI XIIMlIqeCRIIMH CBollcTBaMII qTO paanenenae IIX npencrannaer nJIH XIIMIIRa oqeu TPynUYIO aana-ry I1Meuuo BCJIenCTBlIe 8TOll 6JIlIaOCTlI XIIMlIqeCRIIX CBOHCTB JIaUTaUlInOB B Ta6JIIIue lIM yneneua onaa RJIeTRa a necr pan npIIBonIITCH OTneJIUO IIOCJIenulIll nopaon oTRphIBaIOIIJlIllCH 87-M 8JIeMeUTOM COCTOIIT na ueycTOllqlIBhIX ecrecrneano-panaoanranshyUhIX 8JIeMeUTOB CaMhIll THmeJIhIll aa BCTpeqaIOIIJIIXCH B rrpapone 8JIeMeUToB-ypau (N~ 92)-no uenaBuero npeueaa 6hIJI II nOCJIenuIIM 8JIeMeUTOM rrepaona-recxon CIICTeMhI B nocnenaae ronu ormaxo ynanocr ncnyccrnemro nonyaarr xertape 60JIee THmeJIhIX-laquoTpaUCshyypaaonraxa-e-ane aenra N~N~ 93-96 Hccnenonanae IIX XIIMlIqeCRIIX CBOllCTB II nepecsrorp XIIMlIqeCRIIX CBOllCTB npenmecTBYIOIIJIIX 8JIeshyMeUTOB nplIBeJIII R aaRJIIOqeUIIIO qTO CJIenYIOIIJlIll aa aRTIIUlIeM (eM 89) 8JIeMeUT TOplIll (N~ 90) orxpranaer rpynny 6JIlIaRlIX no XIIMlIqeCRIIM CBOllCTBaM 8JIeMeUTOB-(ltaRTIIUIIn0Braquo rrorrofiayio rpynne penxoaeaeasnux MeTaJIJIOB -laquoJIaUTaUIInOBraquo
3UaqlITeJIuo 60JIee pacrrpocTpaueuuoll HBJIHeTCH npyraH ~opMa eCTeCTBeUUOll CIICTeMhI 8JIeMeUTOB-Ta6JIlIua C ROPOTRlIMII nepaonaxa (Ta6JIIIua III aa CTp 53) Ee rJIaBUhIM npeaaymecrnoa HBJIHeTCH ROMnaRTuocT uenOCTaTOR B TOM qTO pacnpeneneaae scex 8JIeshyMeUTOB B BoceM rpynn ocyrneCTBJIHeTCH nOBOJIUO IICRyccTBeuUhIM rryTeM BBeneUIIH nonr-pyrm II laquoTplIanraquo (B VIII rpynne)
sect 14 Gnpeneaeaae HCTIIHHhIX Macc aTOMOB MeTOfj rrapaooJI
I1a npernrnyrnero na par-patpa cnenyer qTO onpeneneaae IICTIIUshyUhIX a ue cpennax aTOMUhIX Macc HBJIHeTCH oqeu BamUOll aanasea HalI60JIee TOqUhIe COBpeMeUUhIe onpeneneaaa aTOMUhIX sracc ocnoshyBaUUhIe IICRJIIOqIITeJIUO na paesusuu uacc IIUnIIBIInyaJIuhIx aTOMOB II ue aanacamae OT RaRIIX 6hI TO lIlI 6hIJIO npyrnx IIX CBOllCTB ocymeshyCTBJIHIOTCH npn nOMOrn1I OTHJIOUeUIIH IIOUOB paananmrx raaon B 8JIeRshyTplIqeCRIIX II MarUIITUhIX nOJIHX Bnepsue TaRoll MeTon 6hIJI npennoshymeu Ilm Ilm TOMCOUOM
ECJIII B xarone paapannoa Tpy6HII pa6OTaIOIIJell npa rromoaeashyHOM naBJIeUIIII (COThIe nOJIII MM Hg) cnenarr OTBepCTlIe TO IIOUhI HanpaBJIHIOrnlIeCH R xarozry npoxonar xepea 8TO OTBepCTlIe H ofipashyaYIOT aa HaTonOM nOTOK JIyqell aaasmaearax naHal106b~MU 9TlI xaaashy
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
II
sect 14] OIIPEIlEJIEHI1E I1CTI1HHhIX MACC ATOMOB METOIl IIAPAEOJI 55
JIOBhIe JIylJlI COCTOHT rro npeaaymecray aa rrOJIOiKlITeJIbHhIX 1I0HOB
Tex raaoa OCTaTIlI HOTOphIX HaxonHTCH B paapanaon rpyfixe B IIX
COCTaB BXOnHT B MeHbmeM lJlICJIe TaHme HeitTpaJIbHhIe lJaCTIIIIhI
II orpanaremnsre 1I0HhI BoaHIIHaIOmlIe npn peHOM6I1HaIIIIHX rrOJIOshy
iKlITeJIbHhIX 1I0HOB II 3JIeHTpOHoB B rrpOCTpaHCTBe aa HaTonOM
Meron TOMcoHa rrOaBOJIHeT onpeneaarr OTHOCIITeJIbHhIe MaCChI
OTneJIbHhIX lJaCTIIII BXOnHIIIIIX B COCTaB ny-rxa HaHaJIOBhIX JIylJeii
CJIenYIOmIIM 06paaOM RaHaJIOBhIe JIylJlI rrOJIYlJaIOTCH rryTeM rrpoxoshy
iKneHIIH 1I0HOB xoropsre BoaHIIHaIOT II yCHOpHIOTCH B paapanaoa
X
f(
PRe 21 Cxena MeTOAa napafion
rpyfine xepea HaHaJI K (pnc 24) nJIIIHOIO B 2 CM II naaaerposr B 01 MM
BJIaronapH 3HalJlITeJIbHOH nJIIIHe HaHaJIa rrylJOH rrOJIylJaeTCH rrOlJTII
rrapamleJIbHhIM OH coneparar lJaCTIIIIhI pa3JIlIlJHhIX aaepran BrrJIOTb
no MaHCIIMaJIbHOii onpeneaaexoa aarrpmaenaex na rpytiae IIylJOH
HaHaJIOBhIX lJaCTIIII nonnepraerca 3aTeM neHcTBIIIO nonepesnux rroJIeii -3JIeHTplllJeCHOrO II MarHIITHoro nanpa BJIeHHhIX rrapaJIJIeJIbHO
IIJIII aararrapaaneasuo Ilpa 3TOM aapaaeeaarae lJaCTIIIIhI OTHJIOHHIOTCH
3JIeHTplllJeCHlIM II MarHIITHhIM rrOJIHMII BO B3allMHO nepneaztaxyaapmrx lIarrpaBJIeHIIHX II HaH MhI BIIneJIII B sect 10 eCJIII nyxox COCTOIlT
113 lJaCTIIII onaaaxonoa MaCChI 1I0 pa3JIlIlJHhIX cxopocrea TO 3JIeHTpllshy
lJeCHOe II MarHIITlIoe rrOJIH pa3BepThIBaIOT ero TaH ITO nanaa aa 4JJIyoshy
peCIIlIpYIOIIIIIM 3HpaH rrOCTaBJIeHHhIM nepneanaxyaapao H nepnoshyHalJaJIbHOMY HarrpaBJIeHIIIO rrylJHa IIJIII Ha 4JOTOrrJIaCTIIHHy OH OCTashy
BJIHeT CJIen B BIIne OTpe3Ha napafiorna 60JIee nonpotiao 1I306paiKeHshy
HOM na pac 25 Ilycrr 3JIeHTplllJeCHOe OTHJIOHeHlIe 6yneT aanpaaneao rro OCII x
a MarHIITHoe-rro OCII z Torna HaH 6hIJIO rrOHa3aHO B sect 10 MeiKny
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25
56 ATOMbI 1I30TOIlbI [rJI II
Z 1I X )]OJIiRHO nMeTl MeCTO COOTHomeHne
Z2 A2 e (101)=Sm
r)]e A 1I B-nocToHHHhIe npafiopa (CM sect 4) 113 (101) noaysaea
Z2 - m = IiA2
x (141)
z
R
Q
Pile 25