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Axes |
Coordinates |
Wyckoff positions |
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8a |
16b |
I Maximal translationengleiche subgroups |
[2] Cc11 (9) |
a, b, (1/2)(-b + c) |
x + (1/8), y + z, 2z |
4a |
2 × 4a |
C1c1 |
b, -a, (1/2)(-b + c) |
y + z, -x - (1/8), 2z |
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[2] C1c1 (9) |
a, b, (1/2)(-a + c) |
x + z, y + (1/8), 2z |
4a |
2 × 4a |
[2] A112 (5) |
(1/2)(a - b), b, c |
2x, x + y, z |
2a; 2b |
2 × 4c |
II Maximal klassengleiche subgroups |
Enlarged unit cell, isomorphic |
[3] Fdd2 |
3a, b, c |
(1/3)x + (1/4), y + (1/4), z; ±((1/3), 0, 0) |
8a; 16b |
3 × 16b |
[5] Fdd2 |
5a, b, c |
(1/5)x, y, z; ±((1/5), 0, 0); ±((2/5), 0, 0) |
8a; 2 × 16b |
5 × 16b |
[p] Fdd2 |
pa, b, c |
(1/p)x + s, y + s, z; +((u/p), 0, 0) |
8a; ((p - 1)/2) × 16b |
p × 16b |
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p = prime; u = 1, . . ., p - 1 |
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s = 0 if p = 4n + 1 |
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s = (1/4) if p = 4n - 1 |
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[3] Fdd2 |
a, 3b, c |
x + (1/4), (1/3)y + (1/4), z; ±(0, (1/3), 0) |
8a; 16b |
3 × 16b |
[5] Fdd2 |
a, 5b, c |
x, (1/5)y, z; ±(0, (1/5), 0); ±(0, (2/5), 0) |
8a; 2 × 16b |
5 × 16b |
[p] Fdd2 |
a, pb, c |
x + s, (1/p)y + s, z; +(0, (u/p), 0) |
8a; ((p - 1)/2) × 16b |
p × 16b |
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p = prime; u = 1, . . ., p - 1 |
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s = 0 if p = 4n + 1 |
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s = (1/4) if p = 4n - 1 |
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[3] Fdd2 |
a, b, 3c |
x + (1/4), y + (1/4), (1/3)z; ±(0, 0, (1/3)) |
3 × 8a |
3 × 16b |
[5] Fdd2 |
a, b, 5c |
x, y, (1/5)z; ±(0, 0, (1/5)); ±(0, 0, (2/5)) |
5 × 8a |
5 × 16b |
[p] Fdd2 |
a, b, pc |
x + s, y + s, (1/p)z; +(0, 0, (u/p)) |
p × 8a |
p × 16b |
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p = prime; u = 1, . . ., p - 1 |
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s = 0 if p = 4n + 1 |
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s = (1/4) if p = 4n - 1 |
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