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Axes |
Coordinates |
Wyckoff positions |
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1a |
1b |
1c |
1d |
2e |
2f |
2g |
2h |
4i |
I Maximal translationengleiche subgroups |
[2] Pm11 (6) |
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1a |
1a |
1b |
1b |
2c |
2c |
2 × 1a |
2 × 1b |
2 × 2c |
P1m1 |
c, a, b |
z, x, y |
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[2] P1m1 (6) |
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1a |
1b |
1a |
1b |
2 × 1a |
2 × 1b |
2c |
2c |
2 × 2c |
[2] P112 (3) |
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1a |
1c |
1b |
1d |
2e |
2e |
2e |
2e |
2 × 2e |
II Maximal klassengleiche subgroups |
Enlarged unit cell, non-isomorphic |
[2] Fmm2 (42) |
2a, 2b, 2c |
(1/2)x, (1/2)y, (1/2)z; +((1/2), 0, 0) |
2 × 4a |
8c |
8d |
8b |
2 × 8d |
16e |
2 × 8c |
16e |
2 × 16e |
[2] Fmm2 (42) |
2a, 2b, 2c |
(1/2)x + (1/4), (1/2)y, (1/2)z; +((1/2), 0, 0) |
8d |
8b |
2 × 4a |
8c |
2 × 8d |
16e |
16e |
2 × 8c |
2 × 16e |
[2] Fmm2 (42) |
2a, 2b, 2c |
(1/2)x, (1/2)y + (1/4), (1/2)z; +((1/2), 0, 0) |
8c |
2 × 4a |
8b |
8d |
16e |
2 × 8d |
2 × 8c |
16e |
2 × 16e |
[2] Fmm2 (42) |
2a, 2b, 2c |
(1/2)x + (1/4), (1/2)y + (1/4), (1/2)z; +((1/2), 0, 0) |
8b |
8d |
8c |
2 × 4a |
16e |
2 × 8d |
16e |
2 × 8c |
2 × 16e |
[2] Aem2 (39) |
a, 2b, 2c |
x, (1/2)y, (1/2)z; +(0, (1/2), 0) |
4a |
4c |
4b |
4c |
8d |
2 × 4c |
8d |
8d |
2 × 8d |
[2] Aem2 (39) |
a, 2b, 2c |
x, (1/2)y + (1/4), (1/2)z; +(0, (1/2), 0) |
4c |
4a |
4c |
4b |
2 × 4c |
8d |
8d |
8d |
2 × 8d |
[2] Bme2 (39) |
2a, b, 2c |
(1/2)x, y, (1/2)z; +((1/2), 0, 0) |
4a |
4b |
4c |
4c |
8d |
8d |
8d |
2 × 4c |
2 × 8d |
Aem2 |
-b, 2a, 2c |
-y, (1/2)x, (1/2)z; +(0, (1/2), 0) |
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[2] Bme2 (39) |
2a, b, 2c |
(1/2)x + (1/4), y, (1/2)z; +((1/2), 0, 0) |
4c |
4c |
4a |
4b |
8d |
8d |
2 × 4c |
8d |
2 × 8d |
Aem2 |
-b, 2a, 2c |
-y, (1/2)x + (1/4), (1/2)z; +(0, (1/2), 0) |
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[2] Amm2 (38) |
a, 2b, 2c |
x, (1/2)y, (1/2)z; +(0, (1/2), 0) |
2 × 2a |
4d |
2 × 2b |
4e |
2 × 4c |
8f |
2 × 4d |
2 × 4e |
2 × 8f |
[2] Amm2 (38) |
a, 2b, 2c |
x, (1/2)y + (1/4), (1/2)z; +(0, (1/2), 0) |
4d |
2 × 2a |
4e |
2 × 2b |
8f |
2 × 4c |
2 × 4d |
2 × 4e |
2 × 8f |
[2] Bmm2 (38) |
2a, b, 2c |
(1/2)x, y, (1/2)z; +(0, 0, (1/2)) |
2 × 2a |
2 × 2b |
4d |
4e |
2 × 4d |
2 × 4e |
2 × 4c |
8f |
2 × 8f |
Amm2 |
-b, 2a, 2c |
-y, (1/2)x, (1/2)z; +(0, (1/2), 0) |
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[2] Bmm2 (38) |
2a, b, 2c |
(1/2)x + (1/4), y, (1/2)z; +(0, 0, (1/2)) |
4d |
4e |
2 × 2a |
2 × 4b |
2 × 4d |
2 × 4e |
8f |
2 × 4c |
2 × 8f |
Amm2 |
-b, 2a, 2c |
-y, (1/2)x + (1/4), (1/2)z; +(0, (1/2), 0) |
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[2] Cmm2 (35) |
2a, 2b, c |
(1/2)x, (1/2)y, z; +((1/2), 0, 0) |
2a; 2b |
4e |
4d |
4c |
2 × 4d |
8f |
2 × 4e |
8f |
2 × 8f |
[2] Cmm2 (35) |
2a, 2b, c |
(1/2)x + (1/4), (1/2)y, z; +((1/2), 0, 0) |
4d |
4c |
2a; 2b |
4e |
2 × 4d |
8f |
8f |
2 × 4e |
2 × 8f |
[2] Cmm2 (35) |
2a, 2b, c |
(1/2)x, (1/2)y + (1/4), z; +((1/2), 0, 0) |
4e |
2a; 2b |
4c |
4d |
8f |
2 × 4d |
2 × 4e |
8f |
2 × 8f |
[2] Cmm2 (35) |
2a, 2b, c |
(1/2)x + (1/4), (1/2)y + (1/4), z; +((1/2), 0, 0) |
4c |
4d |
4e |
2a; 2b |
8f |
2 × 4d |
8f |
2 × 4e |
2 × 8f |
[2] Pma2 (28) |
2a, b, c |
(1/2)x, y, z; +((1/2), 0, 0) |
2a |
2b |
2c |
2c |
4d |
4d |
4d |
2 × 2c |
2 × 4d |
[2] Pma2 (28) |
2a, b, c |
(1/2)x + (1/4), y, z; +((1/2), 0, 0) |
2c |
2c |
2a |
2b |
4d |
4d |
2 × 2c |
4d |
2 × 4d |
[2] Pbm2 (28) |
a, 2b, c |
x, (1/2)y, z; +(0, (1/2), 0) |
2a |
2c |
2b |
2c |
4d |
2 × 2c |
4d |
4d |
2 × 4d |
Pma2 |
2b, -a, c |
(1/2)y, -x, z; +((1/2), 0, 0) |
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[2] Pbm2 (28) |
a, 2b, c |
x, (1/2)y + (1/4), z; +(0, (1/2), 0) |
2c |
2a |
2c |
2b |
2 × 2c |
4d |
4d |
4d |
2 × 4d |
Pma2 |
2b, -a, c |
(1/2)y + (1/4), -x, z; +((1/2), 0, 0) |
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[2] Pcc2 (27) |
a, b, 2c |
x, y, (1/2)z; +(0, 0, (1/2)) |
2a |
2b |
2c |
2d |
4e |
4e |
4e |
4e |
2 × 4e |
[2] Pmc21(26) |
a, b, 2c |
x, y, (1/2)z; +(0, 0, (1/2)) |
2a |
2a |
2b |
2b |
4c |
4c |
2 × 2a |
2 × 2b |
2 × 4c |
[2] Pcm21(26) |
a, b, 2c |
x, y, (1/2)z; +(0, 0, (1/2)) |
2a |
2b |
2a |
2b |
2 × 2a |
2 × 2b |
4c |
4c |
2 × 4c |
Pmc21 |
b, -a, 2c |
y, -x, (1/2)z; +(0, 0, (1/2)) |
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Enlarged unit cell, isomorphic |
[2] Pmm2 |
2a, b, c |
(1/2)x, y, z; +((1/2), 0, 0) |
1a; 1c |
1b; 1d |
2e |
2f |
2 × 2e |
2 × 2f |
2g; 2h |
4i |
2 × 4i |
[2] Pmm2 |
2a, b, c |
(1/2)x + (1/4), y, z; +((1/2), 0, 0) |
2e |
2f |
1a; 1c |
1b; 1d |
2 × 2e |
2 × 2f |
4i |
2g; 2h |
2 × 4i |
[3] Pmm2 |
3a, b, c |
(1/3)x, y, z; ±((1/3), 0, 0) |
1a; 2e |
1b; 2f |
1c; 2e |
1d; 2f |
3 × 2e |
3 × 2f |
2g; 4i |
2h; 4i |
3 × 4i |
[p] Pmm2 |
pa, b, c |
(1/p)x, y, z; +((u/p), 0, 0) |
1a; |
1b; |
1c; |
1d; |
p × 2e |
p × 2f |
2g; |
2h; |
p × 4i |
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p = prime > 2; u = 1, . . ., p - 1 |
((p - 1)/2) × 2e |
((p - 1)/2) × 2f |
((p - 1)/2) × 2e |
((p - 1)/2) × 2f |
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((p - 1)/2) × 4i |
((p - 1)/2) × 4i |
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[2] Pmm2 |
a, 2b, c |
x, (1/2)y, z; +(0, (1/2), 0) |
1a; 1b |
2g |
1c; 1d |
2h |
2e; 2f |
4i |
2 × 2g |
2 × 2h |
2 × 4i |
[2] Pmm2 |
a, 2b, c |
x, (1/2)y + (1/4), z; +(0, (1/2), 0) |
2g |
1a; 1b |
2h |
1c; 1d |
4i |
2e; 2f |
2 × 2g |
2 × 2h |
2 × 4i |
[3] Pmm2 |
a, 3b, c |
x, (1/3)y, z; ±(0, (1/3), 0) |
1a; 2g |
1b; 2g |
1c; 2h |
1d; 2h |
2e; 4i |
2f; 4i |
3 × 2g |
3 × 2h |
3 × 4i |
[p] Pmm2 |
a, pb, c |
x, (1/p)y, z; +(0, (u/p), 0) |
1a; |
1b; |
1c; |
1d; |
2e; |
2f; |
p × 2g |
p × 2h |
p × 4i |
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p = prime > 2; u = 1, . . ., p - 1 |
((p - 1)/2) × 2g |
((p - 1)/2) × 2g |
((p - 1)/2) × 2h |
((p - 1)/2) × 2h |
((p - 1)/2) × 4i |
((p - 1)/2) × 4i |
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[2] Pmm2 |
a, b, 2c |
x, y, (1/2)z; +(0, 0, (1/2)) |
2 × 1a |
2 × 1b |
2 × 1c |
2 × 1d |
2 × 2e |
2 × 2f |
2 × 2g |
2 × 2h |
2 × 4i |
[3] Pmm2 |
a, b, 3c |
x, y, (1/3)z; ±(0, 0, (1/3)) |
3 × 1a |
3 × 1b |
3 × 1c |
3 × 1d |
3 × 2e |
3 × 2f |
3 × 2g |
3 × 2h |
3 × 4i |
[p] Pmm2 |
a, b, pc |
x, y, (1/p)y, z; +(0, 0, (u/p)) |
p × 1a |
p × 1b |
p × 1c |
p × 1d |
p × 2e |
p × 2f |
p × 2g |
p × 2h |
p × 4i |
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p = prime; u = 1, . . ., p - 1 |
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