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Fourier
x
f (x)
L
f (x) L
fn
Fourier
x
f (x)
L
k
x
L
k
Fourier
h, k, l : kx
ky
kz
n1, n2, n3 :
h1, h2, h3 :
m
Fourier
! Fourier
! ! !
A, B, COOA, OB, OC
n1, n2, n3 :
O A
B
C
d
d
h1, h2, h3
d
dm
dm
m :
dm
h1, h2, h3
m
l :
l
m
A, B, COOA, OB, OC
O A
B
C
d
h1, h2, h3
h1, h2, h3 m h1=mh1, h2=mh2, h3=mh3 (h1, h2, h3 )
ABC m
(h k j l)
c
a
x
y
O A
a A
(h k j l)
fcc
a !
b !
c !
x y
z
bcc
a !
b !
c !
a a
X
elastic inelastic
X ! ! E
(de Braglie) h : p
m = 9.1x10-31 kg mn = 1.7x10-27 kg !(He) m = 4mn
(=0) c :
! = 1 150 eV 0.082 eV ! 0.02 eV 12000 eV
10 eV ~ 1 keV (10~50 )
10 meV ~ 1 eV (10~50 )
1 keV ~ 100 keV (~mm)
X c = 3x108 m/s
" [m]
f
h = 6.6x10-34 Js
1 1n 10n 100n 1#10#100#1m 1cm 10cm 1m
300M 3G 30G 300G 3T
X
100 1k 10k 1.7 3
f [Hz]
E [eV]
400n 700n
X X
30T
anode
(Cu)(Mo)
X
X
0.25 1.5 []
K$#
K!#
K
L M
K!# K$#
X
Q
B
P
P
PB
Q
B
=
!
Laue
N=20
(Ewalt) k
X
kmin < k < kmax X
kmin
kmax
%#
d
%#
%1#%2#
%1= %2
!
h, k, l :
= 2 ( h + k + l = )
0 ( h + k + l = )
(001)
(110)
x y
z
a
"
"
" Shkl = 0