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    MC LC

    Chng 1: CU TRC TINH TH VT RN....................................................3

    Chng 2: DAO NG MNG TINH TH......................................................1!

    Chng 3: T"NH CHT NHI#T C$A TINH TH..............................................1%

    Chng !: &' THU()T V*NG N+NG &,-NG..............................................2

    Chng /: 0H" &CTRON T DO TRONG 0IM &OI.................................22

    Chng : 45N D6N..........................................................................................2/

    Chng 7: T"NH CHT T8 C$A VT RN.....................................................27

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    LI NI U

    Nh 9hng ;< => ?@;B ; EF 9h; n EJ KLn h9 ngh@n 9P ;Qnh 9h; 9< ShnEn 99 ; 9h; nh 9h; nB 9h; EWng ;Xng ;h g@@ ;hYng ngJZ 9< 9hng ;

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    Chng 1:CU TRC TINH TH VT RN

    Bi 1. y9 =unh 9hz qa 9h@pP 9< =Yng ;h{ng =@ lP< h

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    M}; 11

    h: b : E 1 : 1 : 1 1

    : : 1 1

    n1 1B n2 1B n3

    M}; 1

    h : b : E : : 1 : :1

    1

    n1 B n2 B n3 1

    M}; 12

    h : b : E 1 : 2 : 1 1

    : : 112

    n1 1B n21

    2

    B n3

    Bi #. Chng K@nh ?@fP ;h9 1.7 J 1.

    4@fP ;h9 1.7[ ] [ ] [ ]

    ( )

    [ ] [ ] [ ]( )

    2 3 3 1 1 2

    1 2 3

    3

    2 3 3 1 1 23

    2 2 2

    2

    a a a a a aV b b b

    V V V

    a a a a a aV

    = =

    =

    r r r r r rr r r

    r r r r r r

    z

    y

    x

    z

    y

    x

    z

    y

    x

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    V = ( ) [ ] [ ]( ) [ ]( ){ }3

    2 3 1 3 1 2 2 3 1 13

    2a a a a a a a a a a

    V

    r r r r r r r r r r

    MJ [ ]( )2 3 1 1a a a ar r r r

    V = ( ) [ ] [ ]3

    2 3 1 3 1 23

    2.a a a a a a

    V

    r r r r r r

    ( ) ( )3 3

    2

    3

    2 2V

    V V

    = =

    4@fP ;h9 1.

    T< 9c:

    OH= ( )

    ( )1 2 31 1 2 2 3 3

    hb kb lbGR n a n a n a

    G G

    + += + +

    rr r r r

    r r

    ( )1 2 32 2n h n k n l n

    G G

    + +=r r ( )n Z

    ( ) 2 1nOHG

    += r

    MJ:( )

    2d hkl HH OH OH

    G

    = = = r

    Bi $. Chng K@nh ;Xng h}E|}S ShngB bhXng 99h [hbE g@^< 2 K}; 9c 9hz qaM@EEhbE =e9 ;Qnh ?ng 9Lng ;h9:

    2 2 2hkl

    ad

    h k l=

    + +

    O

    GHH

    P

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    TXng =cB < EJ hng qa KingB K};hbE gn ga9 ;< =L}nh; 9; ;9 ;< = En Ee; EJ

    B Ba a a

    h k l.

    %i&i

    T< 9c: OA a

    hB O4

    a

    kB OC

    a

    l

    2 2 2

    1 1 1

    OH OK OC = +

    2 2 2 2

    1 1 1 1

    OH OA OB OC = + +

    2 2 2 2

    1 1 1 1OH OA OB OC

    = + +

    2 2 22

    1 1 1 1

    OH a a ah k l

    = + +

    2 2 2

    2 2

    1 h k l

    OH a

    + + =

    2 2 2

    2 2

    1 h k l

    OH a

    + + =

    2 2 2

    hkl

    ad OH

    h k l= =

    + +

    Bi '. TQnh bhXng 99h g@^< 99 K}; E|n 9|}n ;hPL}9 h K}; 111 ;Xng |}; E@}P b;;@nh ;hX E|}S Shng ;|K K}; @ ?n bQnh ngPZn ;_ .

    %i&i

    Ming E|}S Shng ;|K K}; ;< 9c:

    !! 2

    2

    rr a a= =

    2 2 2hkl

    ad

    h k l=

    + +

    111

    ! !

    2. 3

    r rd = =

    Bi (. Chng K@nh 9P ;9 E9 g@9 S 9h};B ;z qa 9s

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    Vk =|Z EJ 9P ;9 E9 g@9 S 9h}; nn ; [@}n A4CD EJ ; [@}n =pPB [X =c :

    A4 4C CD AD