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固体電子工学 第6回 逆格子と回析

第6回 逆格子と回析 - 名大の授業 (NU OCW)ocw.nagoya-u.jp/files/109/lecnote_06.pdf · Fourier 変換 周期的な関数 x f (x) L f (x) は周期 L の三角関数で展開できる

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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