|
Axes |
Coordinates |
Wyckoff positions |
|
|
|
2a |
4b |
6c |
12d |
| I Maximal translationengleiche subgroups |
| [2] P63 (173) |
|
|
2a |
2 × 2b |
6c |
2 × 6c |
| [2] P3c1 (158) |
|
|
2a |
2b; 2c |
6d |
2 × 6d |
| [2] P31m (157) |
|
|
2 × 1a |
2 × 2b |
2 × 3c |
2 × 6d |
| [3] Cmc21 (36) |
2a + b, b, c |
(1/2)x, -(1/2)x + y, z |
4a |
8b |
4a; 8b |
3 × 8b |
| conjugate: |
-a + b, -a - b, c |
(1/2)(-x + y), -(1/2)(x + y), z |
|
|
|
|
| conjugate: |
-a - 2b, a, c |
-(1/2)y, x - (1/2)y, z |
|
|
|
|
| II Maximal klassengleiche subgroups |
| Enlarged unit cell, non-isomorphic |
| [3] P63mc (186) |
a - b, a + 2b, c |
(1/3)(2x - y), (1/3)(x + y), z; |
2a; 2 × 2b |
12d |
3 × 6c |
3 × 12d |
|
|
±((1/3), (2/3), 0) |
|
|
|
|
| Enlarged unit cell, isomorphic |
| [3] P63cm |
a, b, 3c |
x, y, (1/3)z; ±(0, 0, (1/3)) |
3 × 2a |
3 × 4b |
3 × 6c |
3 × 12d |
| [p] P63cm |
a, b, pc |
x, y, (1/p)z; +(0, 0, (u/p)) |
p × 2a |
p × 4b |
p × 6c |
p × 12d |
|
p = prime > 2; u = 1, . . ., p - 1 |
|
|
|
|
| [4] P63cm |
2a, 2b, c |
(1/2)x, (1/2)y, z; +((1/2), 0, 0); |
2a; 6c |
4b; 12d |
2 × 6c; 12d |
4 × 12d |
|
|
+(0, (1/2), 0); +((1/2), (1/2), 0) |
|
|
|
|
| [p2] P63cm |
pa, pb, c |
(1/p)x, (1/p)y, z; +((u/p), (v/p), 0) |
2a; (p - 1) × 6c; |
4b; ((p2 - 1)/3) × 12d |
p × 6c; |
p2 × 12d |
|
p = prime ≠ 3; u, v = 1, . . ., p - 1 |
(((p - 1)(p - 2))/6) × 12d |
|
((p(p - 1))/2) × 12d |
|
