|
Axes |
Coordinates |
Wyckoff positions |
|
|
|
2a |
4b |
8c |
8d |
16e |
| I Maximal translationengleiche subgroups |
| [2] I4 (79) |
|
|
2a |
4b |
8c |
8c |
2 × 8c |
| [2] Imm2 (44) |
|
|
2a |
2 × 2b |
8e |
4c; 4d |
2 × 8e |
| [2] Fmm2 (42) |
a - b, a + b, c |
(1/2)(x - y), (1/2)(x + y), z |
4a |
8b |
8c; 8d |
16e |
2 × 16e |
| II Maximal klassengleiche subgroups |
| Loss of centring translations |
| [2] P42mc (105) |
|
x + (1/2), y, z |
2c |
2a; 2b |
8f |
4d; 4e |
2 × 8f |
| [2] P4nc (104) |
|
|
2a |
4b |
8c |
8c |
2 × 8c |
| [2] P42nm (102) |
|
|
2a |
4b |
2 × 4c |
8d |
2 × 8d |
| [2] P4mm (99) |
|
|
1a; 1b |
2 × 2c |
2 × 4d |
4e; 4f |
2 × 8g |
| Enlarged unit cell, isomorphic |
| [3] I4mm |
a, b, 3c |
x, y, (1/3)z; ±(0, 0, (1/3)) |
3 × 2a |
3 × 4b |
3 × 8c |
3 × 8d |
3 × 16e |
| [p] I4mm |
a, b, pc |
x, y, (1/p)z; +(0, 0, (u/p)) |
p × 2a |
p × 4b |
p × 8c |
p × 8d |
p × 16e |
|
p = prime > 2; u = 1, . . ., p - 1 |
|
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| [9] I4mm |
3a, 3b, c |
(1/3)x, (1/3)y, z; ±((1/3), 0, 0); |
2a; 8c; 8d |
4b; 2 × 8d; 16e |
3 × 8c; 3 × 16e |
3 × 8d; 3 × 16e |
9 × 16e |
|
|
±(0, (1/3), 0); ±((1/3), (1/3), 0); |
|
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±((1/3), (2/3), 0) |
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| [p2] I4mm |
pa, pb, c |
(1/p)x, (1/p)y, z; +((u/p), (v/p), 0) |
2a; ((p - 1)/2) × 8c; |
4b; (p - 1) × 8d; |
p × 8c; |
p × 8d; |
p2 × 16e |
|
p = prime > 2; u, v = 1, . . ., p - 1 |
((p - 1)/2) × 8d; |
(((p - 1)2)/4) × 16e |
((p(p - 1))/2) × 16e |
((p(p - 1))/2) × 16e |
|
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(((p - 1)(p - 3))/8) × 16e |
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