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Axes |
Coordinates |
Wyckoff positions |
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2a |
2b |
2c |
4d |
4e |
8f |
| I Maximal translationengleiche subgroups |
| [2] P42 (77) |
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2a |
2b |
2c |
4d |
4d |
2 × 4d |
| [2] Pmm2(25) |
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2 × 1a |
2 × 1d |
1b; 1c |
2e; 2g |
2f; 2h |
2 × 4i |
| [2] Ccc2 (37) |
a - b, |
(1/2)(x - y), (1/2)(x + y), z |
4a |
4b |
4c |
8d |
8d |
2 × 8d |
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a + b, c |
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| II Maximal klassengleiche subgroups |
| Enlarged unit cell, non-isomorphic |
| [2] P42nm |
a - b, |
(1/2)(x - y), (1/2)(x + y), z; |
2 × 2a |
4b |
4c |
2 × 4c |
8d |
2 × 8d |
| (102) |
a + b, c |
+((1/2), (1/2), 0) |
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| [2] P42nm |
a - b, |
(1/2)(x - y) + (1/2), (1/2)(x + y), z; |
4b |
2 × 2a |
4c |
8d |
2 × 4c |
2 × 8d |
| (102) |
a + b, c |
+((1/2), (1/2), 0) |
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| [2] P42cm |
a - b, |
(1/2)(x - y), (1/2)(x + y), z; |
2a; 2b |
4c |
4d |
2 × 4d |
8e |
2 × 8e |
| (101) |
a + b, c |
+((1/2), (1/2), 0) |
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| [2] P42cm |
a - b, |
(1/2)(x - y) + (1/2), (1/2)(x + y), z; |
4c |
2a; 2b |
4d |
8e |
2 × 4d |
2 × 8e |
| (101) |
a + b, c |
+((1/2), (1/2), 0) |
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| Enlarged unit cell, isomorphic |
| [3] P42mc |
a, b, 3c |
x, y, (1/3)z; ±(0, 0, (1/3)) |
3 × 2a |
3 × 2b |
3 × 2c |
3 × 4d |
3 × 4e |
3 × 8f |
| [p] P42mc |
a, b, pc |
x, y, (1/p)z; +(0, 0, (u/p)) |
p × 2a |
p × 2b |
p × 2c |
p × 4d |
p × 4e |
p × 8f |
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p = prime > 2; u = 1, . . ., p - 1 |
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| [9] P42mc |
3a, 3b, c |
(1/3)x, (1/3)y, z; |
2a; 2 × 4d; 8f |
2b; 2 × 4e; 8f |
2c; 4d; 4e; 8f |
3 × 4d; 3 × 8f |
3 × 4e; 3 × 8f |
9 × 8f |
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±((1/3), 0, 0); ±(0, (1/3), 0); |
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±((1/3), (1/3), 0); ±((1/3), (2/3), 0) |
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| [p2] P42mc |
pa, pb, c |
(1/p)x, (1/p)y, z; +((u/p), (v/p), 0) |
2a; (p - 1) × 4d; |
2b; (p - 1) × 4e; |
2c; ((p - 1)/2) × 4d; |
p × 4d; |
p × 4e; |
p2 × 8f |
|
p = prime > 2; |
(((p - 1)2)/4) × 8f |
(((p - 1)2)/4) × 8f |
((p - 1)/2) × 4e; |
((p(p - 1))/2) × 8f |
((p(p - 1))/2) × 8f |
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u, v = 1, . . ., p - 1 |
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(((p - 1)2)/4) × 8f |
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