|
Axes |
Coordinates |
Wyckoff positions |
|
|
|
2a |
2b |
4c |
4d |
8e |
| I Maximal translationengleiche subgroups |
| [2] P42 (77) |
|
|
2a |
2b |
2 × 2c |
4d |
2 × 4d |
| [2] Pcc2 (27) |
|
|
2a |
2d |
2b; 2c |
4e |
2 × 4e |
| [2] Cmm2 (35) |
a - b, a + b, c |
(1/2)(x - y), (1/2)(x + y), z |
2 × 2a |
2 × 2b |
2 × 4c |
4d; 4e |
2 × 8f |
| II Maximal klassengleiche subgroups |
| Enlarged unit cell, non-isomorphic |
| [2] P42bc (106) |
a - b, a + b, c |
(1/2)(x - y), (1/2)(x + y), z; +((1/2), (1/2), 0) |
4a |
4b |
8c |
8c |
2 × 8c |
| [2] P42bc (106) |
a - b, a + b, c |
(1/2)(x - y) + (1/2), (1/2)(x + y), z; +((1/2), (1/2), 0) |
4b |
4a |
8c |
8c |
2 × 8c |
| [2] P42mc(105) |
a - b, a + b, c |
(1/2)(x - y), (1/2)(x + y), z; +((1/2), (1/2), 0) |
2a; 2b |
2 × 2c |
8f |
4d; 4e |
2 × 8f |
| [2] P42mc(105) |
a - b, a + b, c |
(1/2)(x - y) + (1/2), (1/2)(x + y), z; +((1/2), (1/2), 0) |
2 × 2c |
2a; 2b |
8f |
4d; 4e |
2 × 8f |
| Enlarged unit cell, isomorphic |
| [3] P42cm |
a, b, 3c |
x, y, (1/3)z; ±(0, 0, (1/3)) |
3 × 2a |
3 × 2b |
3 × 4c |
3 × 4d |
3 × 8e |
| [p] P42cm |
a, b, pc |
x, y, (1/p)z; +(0, 0, (u/p)) |
p × 2a |
p × 2b |
p × 4c |
p × 4d |
p × 8e |
|
p = prime > 2; u = 1, . . ., p - 1 |
|
|
|
|
|
| [9] P42cm |
3a, 3b, c |
(1/3)x, (1/3)y, z; ±((1/3), 0, 0); ±(0, (1/3), 0); |
2a; 2 × 4d; 8e |
2b; 2 × 4d; 8e |
4c; 4 × 8e |
3 × 4d; 3 × 8e |
9 × 8e |
|
|
±((1/3), (1/3), 0); ±((1/3), (2/3), 0) |
|
|
|
|
|
| [p2] P42cm |
pa, pb, c |
(1/p)x, (1/p)y, z; +((u/p), (v/p), 0) |
2a; (p - 1) × 4d; |
2b; (p - 1) × 4d; |
4c; |
p × 4d; |
p2 × 8e |
|
p = prime > 2; u, v = 1, . . ., p - 1 |
(1/4)(p - 1)2 × 8e |
(1/4)(p - 1)2 × 8e |
(1/2)(p2 - 1) × 8e |
(1/2)p(p - 1) × 8e |
|
