|
Axes |
Coordinates |
Wyckoff positions |
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|
|
2a |
2b |
4c |
I Maximal translationengleiche subgroups |
[2] P2111 (4) |
|
x, y + (1/4), z |
2a |
2a |
2 × 2a |
P1211 |
c, a, b |
z, x, y + (1/4) |
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|
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[2] P1211 (4) |
|
x + (1/4), y, z |
2a |
2a |
2 × 2a |
[2] P112 (3) |
|
|
1a; 1d |
1b; 1c |
2 × 2e |
II Maximal klassengleiche subgroups |
Enlarged unit cell, non-isomorphic |
[2] P212121 (19) |
a, b, 2c |
x + (1/4), y, (1/2)z; +(0, 0, (1/2)) |
4a |
4a |
2 × 4a |
[2] P212121 (19) |
a, b, 2c |
x + (1/4), y, (1/2)z + (1/4); +(0, 0, (1/2)) |
4a |
4a |
2 × 4a |
Enlarged unit cell, isomorphic |
[3] P21212 |
3a, b, c |
(1/3)x, y, z; ±((1/3), 0, 0) |
2a; 4c |
2b; 4c |
3 × 4c |
[p] P21212 |
pa, b, c |
(1/p)x, y, z; +((u/p), 0, 0) |
2a; (1/2)(p - 1) × 4c |
2b; (1/2)(p - 1) × 4c |
p × 4c |
|
p = prime > 2; u = 1, . . ., p - 1 |
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|
|
[3] P21212 |
a, 3b, c |
x, (1/3)y, z; ±(0, (1/3), 0) |
2a; 4c |
2b; 4c |
3 × 4c |
[p] P21212 |
pa, b, c |
x, (1/p)y, z; +(0, (u/p), 0) |
2a; (1/2)(p - 1) × 4c |
2b; (1/2)(p - 1) × 4c |
p × 4c |
|
p = prime > 2; u = 1, . . ., p - 1 |
|
|
|
[2] P21212 |
a, b, 2c |
x, y, (1/2)z; +(0, 0, (1/2)) |
2 × 2a |
2 × 2b |
2 × 4c |
[2] P21212 |
a, b, 2c |
x, y, (1/2)z + (1/4); +(0, 0, (1/2)) |
2 × 2a |
2 × 2b |
2 × 4c |
[3] P21212 |
a, b, 3c |
x, y, (1/3)z; ±(0, 0, (1/3)) |
3 × 2a |
3 × 2b |
3 × 4c |
[p] P21212 |
a, b, pc |
x, y, (1/p)z; +(0, 0, (u/p)) |
p × 2a |
p × 2b |
p × 4c |
|
p = prime; u = 1, . . ., p - 1 |
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