cm2e | m2m | Orthorhombic/Rectangular |
No. 36 | cm2e | Patterson symmetry cmmm |
Origin on b2a
Asymmetric unit | 0 ≤ x ≤ 1/4; 0 ≤ y ≤ 1; 0 ≤ z |
Symmetry operations
For (0, 0, 0)+ set
(1) 1 | (2) 2 0, y, 0 | (3) m 1/4, y, z | (4) a x, y, 0 |
For (1/2, 1/2, 0)+ set
(1) t(1/2, 1/2, 0) | (2) 2(0, 1/2, 0) 1/4, y, 0 | (3) b 0, y, z | (4) b x, y, 0 |
Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(1/2, 1/2, 0); (2); (3)
Positions
Multiplicity, Wyckoff letter, Site symmetry |
Coordinates | Reflection conditions | |||||||
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(0, 0, 0)+ (1/2, 1/2, 0)+ | General: |
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hk: h, k = 2n h0: h = 2n 0k: k = 2n |
Special: no extra conditions | |||||||||
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Symmetry of special projections
Along [001] p1m1 a' = 1/2a b' = 1/2b Origin at 0, 0, z |
Along [100] ![]() a' = 1/2b Origin at x, 0, 0 |
Along [010] ![]() a' = 1/2a Origin at 0, y, 0 |
Maximal non-isotypic subgroups
I | [2] cm11 (13) | (1; 3)+ |
[2] c121 (c211, 10) | (1; 2)+ | |
[2] c11a (p11a, 5) | (1; 4)+ |
IIa | [2] pb21a (33) | 1; 4; (2; 3) + (1/2, 1/2, 0) |
[2] pm2a (31) | 1; 2; 3; 4 | |
[2] pb2b (30) | 1; 2; (3; 4) + (1/2, 1/2, 0) | |
[2] pm21b (28) | 1; 3; (2; 4) + (1/2, 1/2, 0) |
IIb | none |
Maximal isotypic subgroups of lowest index
IIc | [3] cm2e (a' = 3a) (36); [3] cm2e (b' = 3b) (36) |
Minimal non-isotypic supergroups
I | [2] cmme (48) |
II | [2] pm2m (a' = 1/2a, b' = 1/2b) (27) |