|
Axes |
Coordinates |
Wyckoff positions |
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|
|
2a |
2b |
4c |
4d |
4e |
4f |
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4g |
8h |
8i |
8j |
16k |
| I Maximal translationengleiche subgroups |
| [2] P-4n2 (118) |
|
x + (1/2), y, z + (1/4) |
2d |
2c |
4e |
2a; 2b |
4h |
4g |
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4f |
2 × 4e |
8i |
8i |
2 × 8i |
| [2] P-421m(113) |
|
x + (1/2), y, z + (1/4) |
2c |
2c |
4d |
2a; 2b |
2 × 2c |
4e |
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4e |
2 × 4d |
8f |
2 × 4e |
2 × 8f |
| [2] P42nm(102) |
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2a |
2a |
4b |
4b |
2 × 2a |
4c |
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4c |
2 × 4b |
8d |
2 × 4c |
2 × 8d |
| [2] P42212 (94) |
|
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2a |
2b |
4d |
4d |
4c |
4e |
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|
4f |
2 × 4d |
8g |
8g |
2 × 8g |
| [2] P42/m (84) |
|
x + (1/2), y, z |
2d |
2c |
2a; 2b |
2e; 2f |
4i |
4j |
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4j |
4g; 4h |
2 × 4j |
8k |
2 × 8k |
| [2] Pnnm (58) |
|
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2a |
2b |
2c; 2d |
4f |
4e |
4g |
|
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|
|
4g |
2 × 4f |
2 × 4g |
8h |
2 × 8h |
| [2] Cmmm(65) |
a - b, |
(1/2)(x - y), |
2a; 2c |
2b; 2d |
4e; 4f |
8m |
4k; 4l |
4h; 4i |
|
a + b, c |
(1/2)(x + y), z |
|
4g; 4j |
2 × 8m |
8p; 8q |
8n; 8o |
2 × 16r |
| II Maximal klassengleiche subgroups |
| Enlarged unit cell, isomorphic |
| [3] P42/mnm |
a, b, 3c |
x, y, (1/3)z; |
2a; 4e |
2b; 4e |
4c; 8h |
4d; 8h |
3 × 4e |
4f; 8j |
|
|
±(0, 0, (1/3)) |
|
4g; 8j |
3 × 8h |
8i; 16k |
3 × 8j |
3 × 16k |
| [p] P42/mnm |
a, b, pc |
x, y, (1/p)z; |
2a; ((p - 1)/2) × 4e |
2b; ((p - 1)/2) × 4e |
4c; ((p - 1)/2) × 8h |
4d; ((p - 1)/2) × 8h |
p × 4e |
4f; ((p - 1)/2) × 8j |
|
|
+(0, 0, (u/p)) |
|
4g; ((p - 1)/2) × 8j |
p × 8h |
8i; ((p - 1)/2) × 16k |
p × 8j |
p × 16i |
|
p = prime > 2 |
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u = 1, . . ., p - 1 |
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| [9] P42/mnm |
3a, 3b, c |
(1/3)x, (1/3)y, z; |
2a; 4f; 4g; 8i |
2b; 4f; 4g; 8i |
4c; 4 × 8i |
4d; 2 × 16k |
4e; 2 × 8j; 16k |
3 × 4f; 3 × 8i |
|
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±((1/3), 0, 0); |
|
3 × 4g; 3 × 8i |
8h; 4 × 16k |
9 × 8i |
3 × 8j; 3 × 16k |
9 × 16k |
|
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±(0, (1/3), 0); |
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±((1/3), (1/3), 0); |
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±((1/3), (2/3), 0) |
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| [p2] P42/mnm |
pa, pb, c |
(1/p)x, (1/p)y, z; |
2a; ((p - 1)/2) × 4f; |
2b; ((p - 1)/2) × 4f |
4c; ((p2 - 1)/2) × 8i |
4d; ((p2 - 1)/4) × 16k |
4e; (p - 1) × 8j; |
p × 4f; |
|
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+((u/p), (v/p), 0) |
((p - 1)/2) × 4g; |
((p - 1)/2) × 4g; |
|
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(((p - 1)2)/4) × 16k |
((p(p - 1))/2) × 8i |
|
p = prime > 2; |
(((p - 1)2)/4) × 8i |
(((p - 1)2)/4) × 8i |
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u, v = 1, . . ., p - 1 |
|
p × 4g; |
8h; ((p2 - 1)/2) × 16k |
p2 × 8i |
p × 8j; |
p2 × 16k |
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((p(p - 1))/2) × 8i |
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((p(p - 1))/2) × 16k |
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