|
Axes |
Coordinates |
Wyckoff positions |
|
|
|
4a |
4b |
8c |
16d |
| I Maximal translationengleiche subgroups |
| [2] I4 (79) |
|
|
2 × 2a |
4b |
8c |
2 × 8c |
| [2] Iba2 (45) |
|
|
4a |
4b |
8c |
2 × 8c |
| [2] Fmm2 (42) |
a - b, a + b, c |
(1/2)(x - y) + (1/4), (1/2)(x + y) + (1/4), z |
8b |
2 × 4a |
8c; 8d |
2 × 16e |
| II Maximal klassengleiche subgroups |
| Loss of centring translations |
| [2] P42bc (106) |
|
x + (1/2), y, z |
4b |
4a |
8c |
2 × 8c |
| [2] P4cc (103) |
|
|
2a; 2b |
4c |
8d |
2 × 8d |
| [2] P42cm (101) |
|
x + (1/2), y, z |
4c |
2a; 2b |
2 × 4d |
2 × 8e |
| [2] P4bm (100) |
|
|
2 × 2a |
2 × 2b |
2 × 4c |
2 × 8d |
| Enlarged unit cell, isomorphic |
| [3] I4cm |
a, b, 3c |
x, y, (1/3)z; ±(0, 0, (1/3)) |
3 × 4a |
3 × 4b |
3 × 8c |
3 × 16d |
| [p] I4cm |
a, b, pc |
x, y, (1/p)z; +(0, 0, (u/p)) |
p × 4a |
p × 4b |
p × 8c |
p × 16d |
|
p = prime > 2; u = 1, . . ., p - 1 |
|
|
|
|
| [9] I4cm |
3a, 3b, c |
(1/3)x, (1/3)y, z; ±((1/3), 0, 0); ±(0, (1/3), 0); |
4a; 2 × 16d |
4b; 2 × 8c; 16d |
3 × 8c; 3 × 16d |
9 × 16d |
|
|
±((1/3), (1/3), 0); ±((1/3), (2/3), 0) |
|
|
|
|
| [p2] I4cm |
pa, pb, c |
(1/p)x, (1/p)y, z; +((u/p), (v/p), 0) |
4a; |
4b; (p - 1) × 8c; |
p × 8c; |
p2 × 16d |
|
p = prime > 2; u, v = 1, . . ., p - 1 |
(1/4)(p2 - 1) × 16d |
(1/4)(p - 1)2 × 16d |
(1/2)p(p - 1) × 16d |
|
