|
Axes |
Coordinates |
Wyckoff positions |
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|
|
2a |
2b |
4c |
8d |
I Maximal translationengleiche subgroups |
[2] P4 (75) |
|
|
1a; 1b |
2c |
4d |
2 × 4d |
[2] Pba2 (32) |
|
|
2a |
2b |
4c |
2 × 4c |
[2] Cmm2 (35) |
a - b, a + b, c |
(1/2)(x - y) + (1/4), (1/2)(x + y) + (1/4), z |
4c |
2a; 2b |
4d; 4e |
2 × 8f |
II Maximal klassengleiche subgroups |
Enlarged unit cell, non-isomorphic |
[2] P42bc (106) |
a, b, 2c |
x, y, (1/2)z; +(0, 0, (1/2)) |
4a |
4b |
8c |
2 × 8c |
[2] P4nc (104) |
a, b, 2c |
x, y, (1/2)z; +(0, 0, (1/2)) |
2 × 2a |
4b |
8c |
2 × 8c |
[2] P42nm (102) |
a, b, 2c |
x + (1/2), y, (1/2)z; +(0, 0, (1/2)) |
4b |
2 × 2a |
2 × 4c |
2 × 8d |
Enlarged unit cell, isomorphic |
[2] P4bm |
a, b, 2c |
x, y, (1/2)z; +(0, 0, (1/2)) |
2 × 2a |
2 × 2b |
2 × 4c |
2 × 8d |
[3] P4bm |
a, b, 3c |
x, y, (1/3)z; ±(0, 0, (1/3)) |
3 × 2a |
3 × 2b |
3 × 4c |
3 × 8d |
[p] P4bm |
a, b, pc |
x, y, (1/p)z; +(0, 0, (u/p)) |
p × 2a |
p × 2b |
p × 4c |
p × 8d |
|
p = prime; u = 1, . . ., p - 1 |
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[9] P4bm |
3a, 3b, c |
(1/3)x, (1/3)y, z; ±((1/3), 0, 0); ±(0, (1/3), 0); |
2a; 2 × 8d |
2b; 2 × 4c; 8d |
3 × 4c; 3 × 8d |
9 × 8d |
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±((1/3), (1/3), 0); ±((1/3), (2/3), 0) |
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[p2] P4bm |
pa, pb, c |
(1/p)x, (1/p)y, z; +((u/p), (v/p), 0) |
2a; |
2b; (p - 1) × 4c; |
p × 4c; |
p2 × 8d |
|
p = prime > 2; u, v = 1, . . ., p - 1 |
(1/4)(p2 - 1) × 8d |
(1/4)(p - 1)2 × 8d |
(1/2)p(p - 1) × 8d |
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