Origin on 2
Asymmetric unit | 0 ≤ x ≤ 1; 0 ≤ y ≤ 1; 0 ≤ z ≤ 1/2 |
Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); (2)
Multiplicity, Wyckoff letter, Site symmetry | Coordinates | Reflection conditions |
| | General:
|
| | no conditions |
| | Special: as above, plus
|
| | no extra conditions |
| | no extra conditions |
| | no extra conditions |
| | no extra conditions |
Symmetry of special projections
Along [001] p1m1 a' = ap b' = b Origin at 0, 0, z | Along [100] p11m a' = b b' = cp Origin at x, 0, 0 | Along [010] p2 a' = c b' = a Origin at 0, y, 0 |
Maximal non-isomorphic subgroups
IIb | [2] P1211 (b' = 2b) (P21, 4); [2] C121 (a' = 2a, b' = 2b) (C2, 5); [2] A121 (b' = 2b, c' = 2c) (C2, 5); [2] F121 (a' = 2a, b' = 2b, c' = 2c) (C2, 5) |
Maximal isomorphic subgroups of lowest index
IIc | [2] P121 (b' = 2b) (P2, 3); [2] P121 (c' = 2c or a' = 2a or a' = a + c, c' = -a + c) (P2, 3) |
Minimal non-isomorphic supergroups
I | [2] P2/m (10); [2] P2/c (13); [2] P222 (16); [2] P2221 (17); [2] P21212 (18); [2] C222 (21); [2] Pmm2 (25); [2] Pcc2 (27); [2] Pma2 (28); [2] Pnc2 (30); [2] Pba2 (32); [2] Pnn2 (34); [2] Cmm2 (35); [2] Ccc2 (37); [2] P4 (75); [2] P42 (77); [2] P-4 (81); [3] P6 (168); [3] P62 (171); [3] P64 (172) |
II | [2] C121 (C2, 5); [2] A121 (C2, 5); [2] I121 (C2, 5) |
Origin on 2
Asymmetric unit | 0 ≤ x ≤ 1/2; 0 ≤ y ≤ 1; 0 ≤ z ≤ 1 |
Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); (2)
Multiplicity, Wyckoff letter, Site symmetry | Coordinates | Reflection conditions |
| | General:
|
| | no conditions |
| | Special: as above, plus
|
| | no extra conditions |
| | no extra conditions |
| | no extra conditions |
| | no extra conditions |
Symmetry of special projections
Along [001] p2 a' = a b' = b Origin at 0, 0, z | Along [100] p1m1 a' = bp b' = c Origin at x, 0, 0 | Along [010] p11m a' = c b' = ap Origin at 0, y, 0 |
Maximal non-isomorphic subgroups
IIb | [2] P1121 (c' = 2c) (P21, 4); [2] A112 (b' = 2b, c' = 2c) (C2, 5); [2] B112 (a' = 2a, c' = 2c) (C2, 5); [2] F112 (a' = 2a, b' = 2b, c' = 2c) (C2, 5) |
Maximal isomorphic subgroups of lowest index
IIc | [2] P112 (c' = 2c) (P2, 3); [2] P112 (a' = 2a or b' = 2b or a' = a - b, b' = a + b) (P2, 3) |
Minimal non-isomorphic supergroups
I | [2] P2/m (10); [2] P2/c (13); [2] P222 (16); [2] P2221 (17); [2] P21212 (18); [2] C222 (21); [2] Pmm2 (25); [2] Pcc2 (27); [2] Pma2 (28); [2] Pnc2 (30); [2] Pba2 (32); [2] Pnn2 (34); [2] Cmm2 (35); [2] Ccc2 (37); [2] P4 (75); [2] P42 (77); [2] P-4 (81); [3] P6 (168); [3] P62 (171); [3] P64 (172) |
II | [2] A112 (C2, 5); [2] B112 (C2, 5); [2] I112 (C2, 5) |