|
Axes |
Coordinates |
Wyckoff positions |
|
|
origin 1 |
origin 2 |
8a |
8b |
16c |
16d |
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16e |
16f |
32g |
| I Maximal translationengleiche subgroups |
| [2] I-42d (122) |
|
x, y + (1/2), z + (1/4) |
x, y + (1/4), z + (3/8) |
4a; 4b |
8c |
16e |
2 × 8c |
|
(or: b, -a, c |
y, -x, z |
y - (1/4), -x, z + (1/8)) |
|
2 × 8d |
16e |
2 × 16e |
| [2] I-4c2 (120) |
|
x, y - (1/4), z + (1/8) |
4b; 4c |
4a; 4d |
16i |
8f; 8g |
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|
16i |
8e; 8h |
2 × 16i |
| [2] I41cd (110) |
|
x, y - (1/4), z + (1/8) |
8a |
8a |
16b |
2 × 8a |
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|
|
16b |
16b |
2 × 16b |
| [2] I4122 (98) |
|
x, y, z + (1/4) |
x, y - (1/4), z + (3/8) |
8c |
4a; 4b |
16g |
2 × 8c |
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|
|
|
2 × 8f |
8d; 8e |
2 × 16g |
| [2] I41/a (88) |
|
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x, y + (1/2), z |
4a; 4b |
8e |
8c; 8d |
2 × 8e |
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16f |
16f |
2 × 16f |
| [2] Ibca (73) |
|
x, y + (1/4), z - (1/8) |
|
8e |
8e |
8a; 8b |
2 × 8e |
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|
8c; 8d |
16f |
2 × 16f |
| [2] Fddd (70) |
a+b, |
(1/2)(x + y) + (1/4), |
(1/2)(x + y), |
16g |
8a; 8b |
16c; 16d |
2 × 16g |
|
-a + b, c |
(1/2)(-x + y) + (1/4), z |
(1/2)(-x + y), z |
|
32h |
16e; 16f |
2 × 32h |
| II Maximal klassengleiche subgroups |
| Enlarged unit cell, isomorphic |
| [3] I41/acd |
a, b, 3c |
x + (1/2), y, (1/3)z + (1/4); |
x + (1/2), y, (1/3)z; |
8a; 16d |
8b; 16d |
16c; 32g |
3 × 16d |
|
|
±(0, 0, (1/3)) |
±(0, 0, (1/3)) |
|
16e; 32g |
16f; 32g |
3 × 32g |
| [p] I41/acd |
a, b, pc |
x + s, y, (1/p)z + (1/2)s; |
x + s, y, (1/p)z; |
8a; ((p - 1)/2) × 16d |
8b; ((p - 1)/2) × 16d |
16c; ((p - 1)/2) × 32g |
p × 16d |
|
|
+(0, 0, (u/p)) |
+(0, 0, (u/p)) |
|
16e; ((p - 1)/2) × 32g |
16f; ((p - 1)/2) × 32g |
p × 32g |
|
p = prime > 2; u = 0, . . ., p - 1 |
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s = 0 if p = 4n + 1; |
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s = (1/2) if p = 4n - 1 |
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|
| [9] I41/acd |
3a, 3b, c |
(1/3)x, (1/3)y, z; |
(1/3)x, (1/3)y + (1/2), z; |
8a; 2 × 32g |
8b; 2 × 16f; 32g |
16c; 4 × 32g |
16d; 4 × 32g |
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±((1/3), 0, 0); ±(0, (1/3), 0); |
|
3 × 16e; 3 × 32g |
3 × 16f; 3 × 32g |
9 × 32g |
|
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±((1/3), (1/3), 0); ±((1/3), (2/3), 0) |
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| [p2] I41/acd |
pa, pb, c |
(1/p)x, (1/p)y, z; |
(1/p)x, (1/p)y + s, z; |
8a; ((p2 - 1)/4) × 32g |
8b; (p - 1) × 16f; |
16c; ((p2 - 1)/2) × 32g |
16d; ((p2 - 1)/2) × 32g |
|
|
+((u/p), (v/p), 0) |
+((u/p), (v/p), 0) |
|
(((p - 1)2)/4) × 32g |
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p = prime > 2; u, v = 1, . . ., p - 1 |
|
p × 16e; |
p × 16f; |
p2 × 32g |
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s = 0 if p = 4n + 1; |
|
((p(p - 1))/2) × 32g |
((p(p - 1))/2) × 32g |
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s = (1/2) if p = 4n - 1 |
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