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Axes |
Coordinates |
Wyckoff positions |
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1a |
1b |
1c |
1d |
1e |
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1f |
1g |
1h |
2i |
| I Maximal translationengleiche subgroups |
| [2] P1 (1) |
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1a |
1a |
1a |
1a |
1a |
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1a |
1a |
1a |
2 × 1a |
| II Maximal klassengleiche subgroups |
| Enlarged unit cell, isomorphic |
| [2] P-1 |
2a, b, c |
(1/2)x, y, z; +((1/2), 0, 0) |
1a; 1d |
1b; 1f |
1c; 1e |
2i |
2i |
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2i |
1g; 1h |
2i |
2 × 2i |
| [2] P-1 |
2a, b, c |
(1/2)x + (1/4), y, z; +((1/2), 0, 0) |
2i |
2i |
2i |
1a; 1d |
1c; 1e |
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1b; 1f |
2i |
1g; 1h |
2 × 2i |
| [2] P-1 |
a, b + c, -b + c |
x, (1/2)(y + z), (1/2)(-y + z); |
1a; 1g |
2i |
2i |
1d; 1h |
2i |
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+(0, (1/2), (1/2)) |
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2i |
1b; 1c |
1e; 1f |
2 × 2i |
| [2] P-1 |
a, b + c, -b + c |
x, (1/2)(y + z) + (1/4), (1/2)(-y + z) + (1/4); |
2i |
1a; 1g |
1b; 1c |
2i |
1e; 1f |
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+(0, (1/2), (1/2)) |
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1d; 1h |
2i |
2i |
2 × 2i |
| [2] P-1 |
a - c, b, a + c |
(1/2)(x - z), y, (1/2)(x + z); |
1a; 1f |
2i |
1c; 1h |
2i |
2i |
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+((1/2), 0, (1/2)) |
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1b; 1d |
2i |
1e; 1g |
2 × 2i |
| [2] P-1 |
a - c, b, a + c |
(1/2)(x - z) + (1/4), y, (1/2)(x + z) + (1/4); |
2i |
1b; 1d |
2i |
1a; 1f |
1c; 1h |
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+((1/2), 0, (1/2)) |
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2i |
1e; 1g |
2i |
2 × 2i |
| [2] P-1 |
a + b, -a + b, c |
(1/2)(x + y), (1/2)(-x + y), z; |
1a; 1e |
1b; 1h |
2i |
2i |
1c; 1d |
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+((1/2), (1/2), 0) |
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2i |
2i |
1f; 1g |
2 × 2i |
| [2] P-1 |
a + b, -a + b, c |
(1/2)(x + y) + (1/4), (1/2)(-x + y) + (1/4), z; |
2i |
2i |
1a; 1e |
1c; 1d |
2i |
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+((1/2), (1/2), 0) |
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1f; 1g |
1b; 1h |
2i |
2 × 2i |
| [2] P-1 |
a + b, b + c, a + c |
(1/2)(x + y - z), (1/2)(-x + y + z), |
1a; 1h |
2i |
2i |
2i |
1d; 1g |
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(1/2)(x - y + z); +((1/2), (1/2), (1/2)) |
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1b; 1e |
1c; 1f |
2i |
2 × 2i |
| [2] P-1 |
a + b, b + c, a + c |
(1/2)(x + y - z) + (1/4), (1/2)(-x + y + z) + (1/4), |
2i |
1d; 1g |
1b; 1e |
1c; 1f |
2i |
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(1/2)(x - y + z) + (1/4); +((1/2), (1/2), (1/2)) |
|
2i |
2i |
1a; 1h |
2 × 2i |
| [2] P-1 |
a, 2b, c |
x, (1/2)y, z; +(0, (1/2), 0) |
1a; 1c |
1b; 1g |
2i |
1d; 1e |
2i |
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1f; 1h |
2i |
2i |
2 × 2i |
| [2] P-1 |
a, 2b, c |
x, (1/2)y + (1/4), z; +(0, (1/2), 0) |
2i |
2i |
1a; 1c |
2i |
1d; 1e |
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2i |
1b; 1g |
1f; 1h |
2 × 2i |
| [2] P-1 |
a, b, 2c |
x, y, (1/2)z; (0, 0, (1/2)) |
1a; 1b |
2i |
1c; 1g |
1d; 1f |
1e; 1h |
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2i |
2i |
2i |
2 × 2i |
| [2] P-1 |
a, b, 2c |
x, y, (1/2)z + (1/4); (0, 0, (1/2)) |
2i |
1a; 1b |
2i |
2i |
2i |
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1d; 1f |
1c; 1g |
1e; 1h |
2 × 2i |
| [p] P-1 |
pa, qa + b, ra + c |
(1/p)(x - qy - rz), y, z; +((u/p), 0, 0) |
1a; ((p - 1)/2) × 2i |
1b(f† ); ((p - 1)/2) × 2i |
1c(e*); ((p - 1)/2) × 2i |
1d; ((p - 1)/2) × 2i |
1e(c*); ((p - 1)/2) × 2i |
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p = prime > 2; u = 1, . . . p - 1; |
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1f(b† ); ((p - 1)/2) × 2i |
1g(h‡ ); ((p - 1)/2) × 2i |
1h(g‡ ); ((p - 1)/2) × 2i |
p × 2i |
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-(1/2)(p - 1) ≤ q ≤ (1/2)(p - 1) |
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-(1/2)(p - 1) ≤ r ≤ (1/2)(p - 1) |
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| [p] P-1 |
a, pb, qb + c |
x, (1/p)(y - qz), z; +(0, (u/p), 0) |
1a; ((p - 1)/2) × 2i |
1b(g*); ((p - 1)/2) × 2i |
1c; ((p - 1)/2) × 2i |
1d; ((p - 1)/2) × 2i |
1e; ((p - 1)/2) × 2i |
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p = prime > 2; u = 1, . . . p - 1; |
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1f(h*); ((p - 1)/2) × 2i |
1g(b*); ((p - 1)/2) × 2i |
1h(f*); ((p - 1)/2) × 2i |
p × 2i |
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-(1/2)(p - 1) ≤ q ≤ (1/2)(p - 1) |
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| [p] P-1 |
a, b, pc |
x, y, (1/p)z; +(0, 0, (u/p)) |
1a; ((p - 1)/2) × 2i |
1b; ((p - 1)/2) × 2i |
1c; ((p - 1)/2) × 2i |
1d; ((p - 1)/2) × 2i |
1e; ((p - 1)/2) × 2i |
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p = prime > 2; u = 1, . . . p - 1 |
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1f; ((p - 1)/2) × 2i |
1g; ((p - 1)/2) × 2i |
1h; ((p - 1)/2) × 2i |
p × 2i |
|
| * q = 2n+1 † r = 2n+1 ‡ q + r = 2n+1 |
