|
Axes |
Coordinates |
Wyckoff positions |
|
|
|
2a |
4b |
4c |
8d |
| I Maximal translationengleiche subgroups |
| [2] P42 (77) |
|
x + (1/2), y, z |
2c |
2a; 2b |
4d |
2 × 4d |
| [2] Pnn2 (34) |
|
|
2a |
2 × 2b |
4c |
2 × 4c |
| [2] Cmm2 (35) |
a - b, a + b, c |
(1/2)(x - y), (1/2)(x + y), z |
2a; 2b |
2 × 4c |
4d; 4e |
2 × 8f |
| II Maximal klassengleiche subgroups |
| Enlarged unit cell, non-isomorphic |
| [2] I41cd (110) |
a - b, a + b, 2c |
(1/2)(x - y), (1/2)(x + y), (1/2)z; +(0, 0, (1/2)) |
8a |
16b |
16b |
2 × 16b |
| [2] I41cd (110) |
a - b, a + b, 2c |
(1/2)(x - y) + (1/2), (1/2)(x + y), (1/2)z; +(0, 0, (1/2)) |
8a |
16b |
16b |
2 × 16b |
| [2] I41md (109) |
a - b, a + b, 2c |
(1/2)(x - y), (1/2)(x + y), (1/2)z; +(0, 0, (1/2)) |
2 × 4a |
16c |
2 × 8b |
2 × 16c |
| [2] I41md (109) |
a - b, a + b, 2c |
(1/2)(x - y) + (1/2), (1/2)(x + y), (1/2)z; +(0, 0, (1/2)) |
2 × 4a |
16c |
2 × 8b |
2 × 16c |
| Enlarged unit cell, isomorphic |
| [3] P42nm |
a, b, 3c |
x, y, (1/3)z; ±(0, 0, (1/3)) |
3 × 2a |
3 × 4b |
3 × 4c |
3 × 8d |
| [p] P42nm |
a, b, pc |
x, y, (1/p)z; +(0, 0, (u/p)) |
p × 2a |
p × 4b |
p × 4c |
p × 8d |
|
p = prime > 2; u = 1, . . ., p - 1 |
|
|
|
|
| [9] P42nm |
3a, 3b, c |
(1/3)x, (1/3)y, z; ±((1/3), 0, 0); ±(0, (1/3), 0); |
2a; 2 × 4c; 8d |
4b; 4 × 8d |
3 × 4c; 3 × 8d |
9 × 8d |
|
|
±((1/3), (1/3), 0); ±((1/3), (2/3), 0) |
|
|
|
|
| [p2] P42nm |
pa, pb, c |
(1/p)x, (1/p)y, z; +((u/p), (v/p), 0) |
2a; (p - 1) × 4c; |
4b; |
p × 4c; |
p2 × 8d |
|
p = prime > 2; u, v = 1, . . ., p - 1 |
(1/4)(p - 1)2 × 8d |
(1/2)(p2 - 1) × 8d |
(1/2)p(p - 1) × 8d |
|
