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C

14

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{hkl} N=h2+k2+l2 P I F

100 1 *

110 2 * *

111 3 * *

200 4 * * *

210 5 *

211 6 * *

--- 7

220 8 * * *

P = Primitive (simple) cubic All hkl

I = BCC h+k+l = even

F= FCC h,k,l all even or all odd

6

12

8

6

24

24

--

12

221 , 300 9 *310 10 * *

311 11 * *

222 12 * * *

320 13 *

321 14 * *

--- 15

400 16 * * *

P: 1,2,3,4,5,6,8,9, .. (= all integers excluding 7, 15, 23,)

I : 2,4,6,8,10,12,14 (= even integers excluding 28, 60)

F: 3,4,8,11,12,16,19,20 .

24+624

24

8

24

48

--6

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=1.54 A

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44.7 2.03 1.00

65.2 1.43 2.01

82.7 1.17 3.02

A 2

= 1 ,2, 3 C = 100, 110, 111

= 2, 4, 6 BCC = 110, 200, 211

= 2.03

= 2.86 BCC

C A D : 1/(2.03 )3

2/(2.86 )3

BCC

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=1.54 A

C 100 110 111

BCC 110 200 211

6 12 8

12 6 24

(

) , BCC

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{hkl} N=h2+k2+l2 P I F

100 1 *

110 2 * *

111 3 * *

200 4 * * *

210 5 *

211 6 * *

--- 7

220 8 * * *

P = Primitive (simple) cubic All hkl

I = BCC h+k+l = even

F= FCC h,k,l all even or all odd

6

12

8

6

24

24

--

12

221 , 300 9 *310 10 * *

311 11 * *

222 12 * * *

320 13 *

321 14 * *

--- 15400 16 * * *

P: 1,2,3,4,5,6,8,9, .. (= all integers excluding 7, 15, 23,)

I : 2,4,6,8,10,12,14 (= even integers excluding 28, 60)

F: 3,4,8,11,12,16,19,20 .

24+624

24

8

24

48

--6

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= 1.09 A C

, J. A , 30 1323 (1959).

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26 2.42 1.00 3.00 3 111 4.20 30.1 2.10 1.33 4.00 4 200 4.20

A 2

. . . . . 50.2 1.28 3.56 10.67 11 311 4.26 52.8 1.23 3.91 11.72 12 222 4.25 62.4 1.05 5.30 15.91 16 400 4.21

67.6 0.98 6.12 18.35 19 331 4.27 70 0.95 6.50 19.50 20 420 4.25

FCC! : ,, : = 3,4,8,11,12

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= 1.09 A= 1.09 A C

420

?

: 8 6 12 24 8 6 24 24 24 24+6 24 24

++: 3 2 4 5 6 4 7 6 8 7,9 8 9

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C

@ 0,0,0C @ 1/2,1/2,1/2

@ 0,0,0C @ 1/4,1/4,1/4

= C2 ++ =

2 + C2 ++

=+ C2 ++ = + C

2 ++ = 4

= C2 ++ = 4+2

C C

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A

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.

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1, 2, 3 B

2/

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1, 2, 3 B

2/

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1, 2, 3 B

2/

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1 B FCC = BCC

4/

1 B BCC

= FCC