|
Axes |
Coordinates |
Wyckoff positions |
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4a |
4b |
4c |
8d |
I Maximal translationengleiche subgroups |
[2] I211 (5) |
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x, y, z + (1/4) |
2a; 2b |
4c |
4c |
2 × 4c |
I121 |
c, a, b |
z + (1/4), x, y |
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C121 |
-b - c, a, c |
-y, x, -y + z + (1/4) |
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[2] I121 (5) |
|
x + (1/4), y, z |
4c |
2a; 2b |
4c |
2 × 4c |
C121 |
-a - c, b, a |
-z, y, x - z + (1/4) |
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[2] I112 (5) |
|
x, y + (1/4), z |
4c |
4c |
2a; 2b |
2 × 4c |
A112 |
a, -a + b, c |
x + y + (1/4), y + (1/4), z |
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II Maximal klassengleiche subgroups |
Loss of centring translations |
[2] P212121 (19) |
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4a |
4a |
4a |
2 × 4a |
[2] P2221 (17) |
|
x + (1/4), y, z + (1/4) |
2a; 2b |
2c; 2d |
4e |
2 × 4e |
[2] P2212 (17) |
|
x, y + (1/4), z + (1/4) |
2c; 2d |
4e |
2a; 2b |
2 × 4e |
P2221 |
c, a, b |
z + (1/4), x, y + (1/4) |
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[2] P2122 (17) |
|
x + (1/4), y + (1/4), z |
4e |
2a; 2b |
2c; 2d |
2 × 4e |
P2221 |
b, c, a |
y + (1/4), z, x + (1/4) |
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Enlarged unit cell, isomorphic |
[3] I212121 |
3a, b, c |
(1/3)x, y, z; ±((1/3), 0, 0) |
3 × 4a |
4b; 8d |
4c; 8d |
3 × 8d |
[p] I212121 |
pa, b, c |
(1/p)x, y, z; +((u/p), 0, 0) |
p × 4a |
4b; ((p - 1)/2) × 8d |
4c; ((p - 1)/2) × 8d |
p × 8d |
|
p = prime > 2; u = 1, . . ., p - 1 |
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[3] I212121 |
a, 3b, c |
x, (1/3)y, z; ±(0, (1/3), 0) |
4a; 8d |
3 × 4b |
4c; 8d |
3 × 8d |
[p] I212121 |
a, pb, c |
x, (1/p)y, z; +(0, (u/p), 0) |
4a; ((p - 1)/2) × 8d |
p × 4b |
4c; ((p - 1)/2) × 8d |
p × 8d |
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p = prime > 2; u = 1, . . ., p - 1 |
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[3] I212121 |
a, b, 3c |
x, y, (1/3)z; ±(0, 0, (1/3)) |
4a; 8d |
4b; 8d |
3 × 4c |
3 × 8d |
[p] I212121 |
a, b, pc |
x, y, (1/p)z; +(0, 0, (u/p)) |
4a; ((p - 1)/2) × 8d |
4b; ((p - 1)/2) × 8d |
p × 4c |
p × 8d |
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p = prime > 2; u = 1, . . ., p - 1 |
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