|
Axes |
Coordinates |
Wyckoff positions |
|
|
|
4a |
4b |
4c |
4d |
8e |
8f |
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|
8g |
8h |
16i |
| I Maximal translationengleiche subgroups |
| [2] P-4b2 |
|
x, y, z + (1/4) |
4e |
2a; 2b |
4f |
2c; 2d |
2 × 4e |
2 × 4f |
| (117) |
|
|
|
|
|
4g; 4h |
8i |
2 × 8i |
| [2] P-421c |
|
x, y, z + (1/4) |
4c |
2a; 2b |
4d |
4d |
2 × 4c |
2 × 4d |
| (114) |
|
|
|
|
|
8e |
8e |
2 × 8e |
| [2] P42bc |
|
|
4a |
4a |
4b |
4b |
2 × 4a |
2 × 4b |
| (106) |
|
|
|
|
|
8c |
8c |
2 × 8c |
| [2] P42212 |
|
x + (1/2), y, z + (1/4) |
4d |
4d |
4c |
2a; 2b |
2 × 4d |
2 × 4c |
| (94) |
|
|
|
|
|
4e; 4f |
8g |
2 × 8g |
| [2] P42/m |
|
|
2a; 2b |
2e; 2f |
2c; 2d |
4i |
4g; 4h |
2 × 4i |
| (84) |
|
|
|
|
|
8k |
2 × 4j |
2 × 8k |
| [2] Pbam |
|
|
2a; 2b |
4e |
2c; 2d |
4f |
2 × 4e |
2 × 4f |
| (55) |
|
|
|
|
|
8i |
4g; 4h |
2 × 8i |
| [2] Cccm |
a - b, |
(1/2)(x - y) + (1/4), |
4e; 4f |
8k |
4c; 4d |
4a; 4b |
2 × 8k |
8i; 8j |
| (66) |
a + b, c |
(1/2)(x + y) + (1/4), z |
|
|
|
8g; 8h |
2 × 8l |
2 × 16m |
| II Maximal klassengleiche subgroups |
| Enlarged unit cell, isomorphic |
| [3] P42/mbc |
a, b, 3c |
x, y, (1/3)z; ±(0, 0, (1/3)) |
4a; 8e |
4b; 8e |
4c; 8f |
4d; 8f |
3 × 8e |
3 × 8f |
|
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|
8g; 16i |
8h; 16i |
3 × 16i |
| [p] P42/mbc |
a, b, pc |
x, y, (1/p)z; +(0, 0, (u/p)) |
4a; ((p - 1)/2) × 8e |
4b; ((p - 1)/2) × 8e |
4c; ((p - 1)/2) × 8f |
4d; ((p - 1)/2) × 8f |
p × 8e |
p × 8f |
|
p = prime > 2 |
|
|
|
8g; ((p - 1)/2) × 16i |
8h; ((p - 1)/2) × 16i |
p × 16i |
|
u = 1, . . ., p - 1 |
|
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|
| [9] P42/mbc |
3a, 3b, c |
(1/3)x, (1/3)y, z; |
4a; 4 × 8h |
4b; 2 × 16i |
4c; 4 × 8h |
4d; 2 × 8g; 16i |
8e; 4 × 16i |
8f; 4 × 16i |
|
|
±((1/3), 0, 0); ±(0, (1/3), 0); |
|
|
|
3 × 8g; 3 × 16i |
9 × 8h |
9 × 16i |
|
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±((1/3), (1/3), 0); ±((1/3), (2/3), 0) |
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|
| [p2] P42/mbc |
pa, pb, c |
(1/p)x, (1/p)y, z; |
4a; ((p2 - 1)/2) × 8h |
4b; ((p2 - 1)/4) × 16i |
4c; ((p2 - 1)/2) × 8h |
4d; (p - 1) × 8g; |
8e; ((p2 - 1)/2) × 16i |
8f; ((p2 - 1)/2) × 16i |
|
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+((u/p), (v/p), 0) |
|
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(((p - 1)2)/4) × 16i |
|
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p = prime > 2; |
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p × 8g; |
p2 × 8h |
p2 × 16i |
|
u, v = 1, . . ., p - 1 |
|
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((p(p - 1))/2) × 16i |
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