Fig. 8.6 Ordered and disordered form of Cu 3 Au cubic structure
Table 8.2 Miller indices of atomic planes and F
j j
2 for cubic structures
P
h
2 þ k
2 þ l
2
À
Á
{hkl} planes
h
2 þ k
2 þ l
2
À
Á
Cubic Structures
sc
bcc
fcc
dc
1
{100}
1
2 þ 0
2 þ 0
2
ð
Þ
f
2
–
–
–
2
{110}
1
2 þ 1
2 þ 0
2
ð
Þ
f
2
4f
2
–
–
3
{111}
1
2 þ 1
2 þ 1
2
ð
Þ
f
2
–
16f
2
64f
2
4
{200}
2
2 þ 0
2 þ 0
2
ð
Þ
f
2
4f
2
16f
2
–
5
{210}
2
2 þ 1
2 þ 0
2
ð
Þ
f
2
–
–
–
6
{211}
2
2 þ 1
2 þ 1
2
ð
Þ
f
2
4f
2
–
–
7
…
8
{220}
2
2 þ 2
2 þ 0
2
ð
Þ
f
2
4f
2
16f
2
64f
2
9
{221}
2
2 þ 2
2 þ 1
2
ð
Þ
f
2
–
–
–
10
{310}
3
2 þ 1
2 þ 0
2
ð
Þ
f
2
4f
2
–
–
11
{311}
3
2 þ 1
2 þ 1
2
ð
Þ
f
2
–
16f
2
64f
2
12
{222}
2
2 þ 2
2 þ 2
2
ð
Þ
f
2
4f
2
16f
2
–
13
{320}
3
2 þ 2
2 þ 0
2
ð
Þ
f
2
–
–
–
14
{321}
3
2 þ 2
2 þ 1
2
ð
Þ
f
2
4f
2
–
–
15
…
16
{400}
4
2 þ 0
2 þ 0
2
ð
Þ
f
2
4f
2
16f
2
64f
2
17
{410}
4
2 þ 1
2 þ 0
2
ð
Þ
f
2
–
–
–
18
{411}
4
2 þ 1
2 þ 1
2
ð
Þ
f
2
4f
2
–
–
19
{331}
3
2 þ 3
2 þ 1
2
ð
Þ
f
2
–
16f
2
64f
2
20
{420}
4
2 þ 2
2 þ 0
2
ð
Þ
f
2
4f
2
16f
2
–
312
8 Structure Factor Calculations