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Axes |
Coordinates |
Wyckoff positions |
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1a |
1b |
2c |
4d |
4e |
4f |
8g |
| I Maximal translationengleiche subgroups |
| [2] P4 (75) |
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1a |
1b |
2c |
4d |
4d |
4d |
2 × 4d |
| [2] Pmm2 (25) |
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1a |
1d |
1b; 1c |
4i |
2e; 2g |
2f; 2h |
2 × 4i |
| [2] Cmm2 (35) |
a - b, |
(1/2)(x - y), (1/2)(x + y), z |
2a |
2b |
4c |
4d; 4e |
8f |
8f |
2 × 8f |
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a + b, c |
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| II Maximal klassengleiche subgroups |
| Enlarged unit cell, non-isomorphic |
| [2] I4cm (108) |
a - b, |
(1/2)(x - y), (1/2)(x + y), (1/2)z; |
4a |
4b |
8c |
16d |
16d |
2 × 8c |
2 × 16d |
|
a + b, 2c |
+(0, 0, (1/2)) |
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| [2] I4cm (108) |
a - b, |
(1/2)(x - y) + (1/2), (1/2)(x + y), (1/2)z; |
4b |
4a |
8c |
16d |
2 × 8c |
16d |
2 × 16d |
|
a + b, 2c |
+(0, 0, (1/2)) |
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| [2] I4mm (107) |
a - b, |
(1/2)(x - y), (1/2)(x + y), (1/2)z; |
2 × 2a |
4b |
8c |
2 × 8d |
2 × 8c |
16e |
2 × 16e |
|
a + b, 2c |
+(0, 0, (1/2)) |
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| [2] I4mm (107) |
a - b, |
(1/2)(x - y) + (1/2), (1/2)(x + y), (1/2)z; |
4b |
2 × 2a |
8c |
2 × 8d |
16e |
2 × 8c |
2 × 16e |
|
a + b, 2c |
+(0, 0, (1/2)) |
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| [2] P42mc(105) |
a, b, 2c |
x, y, (1/2)z; +(0, 0, (1/2)) |
2a |
2b |
2 × 2c |
8f |
2 × 4d |
2 × 4e |
2 × 8f |
| [2] P4cc (103) |
a, b, 2c |
x, y, (1/2)z; +(0, 0, (1/2)) |
2a |
2b |
4c |
8d |
8d |
8d |
2 × 8d |
| [2] P42cm(101) |
a, b, 2c |
x, y, (1/2)z; +(0, 0, (1/2)) |
2a |
2b |
4c |
2 × 4d |
8e |
8e |
2 × 8e |
| [2] P4bm (100) |
a - b, |
(1/2)(x - y), (1/2)(x + y), z; |
2a |
2b |
4c |
8d |
8d |
2 × 4c |
2 × 8d |
|
a + b, c |
+((1/2), (1/2), 0) |
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| [2] P4bm (100) |
a - b, |
(1/2)(x - y) + (1/2), (1/2)(x + y), z; |
2b |
2a |
4c |
8d |
2 × 4c |
8d |
2 × 8d |
|
a + b, c |
+((1/2), (1/2), 0) |
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| Enlarged unit cell, isomorphic |
| [2] P4mm |
a, b, 2c |
x, y, (1/2)z; +(0, 0, (1/2)) |
2 × 1a |
2 × 1b |
2 × 2c |
2 × 4d |
2 × 4e |
2 × 4f |
2 × 8g |
| [3] P4mm |
a, b, 3c |
x, y, (1/3)z; ±(0, 0, (1/3)) |
3 × 1a |
3 × 1b |
3 × 2c |
2 × 4d |
3 × 4e |
3 × 4f |
3 × 8g |
| [p] P4mm |
a, b, pc |
x, y, (1/p)z; +(0, 0, (u/p)) |
p × 1a |
p × 1b |
p × 2c |
p × 4d |
p × 4e |
p × 4f |
p × 8g |
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p = prime; u = 1, . . ., p - 1 |
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| [2] P4mm |
a - b, |
(1/2)(x - y), (1/2)(x + y), z; |
1a; 1b |
2c |
4d |
4e; 4f |
2 × 4d |
8g |
2 × 8g |
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a + b, c |
+((1/2), (1/2), 0) |
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| [2] P4mm |
a - b, |
(1/2)(x - y) + (1/2), (1/2)(x + y), z; |
2c |
1a; 1b |
4d |
4e; 4f |
8g |
2 × 4d |
2 × 8g |
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a + b, c |
+((1/2), (1/2), 0) |
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| [9] P4mm |
3a, 3b, c |
(1/3)x, (1/3)y, z; |
1a; 4d; 4e |
1b; 4d; 4f |
2c; 4e; 4f; 8g |
3 × 4d; |
3 × 4e; |
3 × 4f; |
9 × 8g |
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±((1/3), 0, 0); ±(0, (1/3), 0); |
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3 × 8g |
3 × 8g |
3 × 8g |
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±((1/3), (1/3), 0); ±((1/3), (2/3), 0) |
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| [p2] P4mm |
pa, pb, c |
(1/p)x, (1/p)y, z; +((u/p), (v/p), 0) |
1a; ((p - 1)/2) × 4d; |
1b; ((p - 1)/2) × 4d; |
2c; ((p - 1)/2) × 4e; |
p × 4d; |
p × 4e; |
p × 4f; |
p2 × 8g |
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p = prime > 2; u, v = 1, . . ., p - 1 |
((p - 1)/2) × 4e; |
((p - 1)/2) × 4f; |
((p - 1)/2) × 4f; |
((p(p - 1))/2) × 8g |
((p(p - 1))/2) × 8g |
((p(p - 1))/2) × 8g |
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(((p - 1)(p - 3))/8) × |
(((p - 1)(p - 3))/8) × |
(((p - 1)2)/4) × 8g |
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8g |
8g |
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