Origin on m m 2
Asymmetric unit | 0 ≤ x ≤ 1/2; 0 ≤ y ≤ 1/2; 0 ≤ z ≤ 1/2 |
Symmetry operations
For (0, 0, 0)+ set
(1) 1 | (2) 2 0, 0, z | (3) m x, 0, z | (4) m 0, y, z |
For (1/2, 1/2, 1/2)+ set
(1) t(1/2, 1/2, 1/2) | (2) 2(0, 0, 1/2) 1/4, 1/4, z | (3) n(1/2, 0, 1/2) x, 1/4, z | (4) n(0, 1/2, 1/2) 1/4, y, z |
Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); t(1/2, 1/2, 1/2); (2); (3)
Positions
Multiplicity, Wyckoff letter, Site symmetry | Coordinates | Reflection conditions | |||||||
(0, 0, 0)+ (1/2, 1/2, 1/2)+ | General: | ||||||||
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| hkl : h + k + l = 2n 0kl : k + l = 2n h0l : h + l = 2n hk0 : h + k = 2n h00 : h = 2n 0k0 : k = 2n 00l : l = 2n |
Special: as above, plus | |||||||
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| no extra conditions | |||||
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| no extra conditions | |||||
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| no extra conditions | |||||
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| no extra conditions |
Symmetry of special projections
Along [001] c2mm a' = a b' = b Origin at 0, 0, z | Along [100] c1m1 a' = b b' = c Origin at x, 0, 0 | Along [010] c11m a' = c b' = a Origin at 0, y, 0 |
Maximal non-isomorphic subgroups
I | [2] I1m1 (Cm, 8) | (1; 3)+ | |
[2] Im11 (Cm, 8) | (1; 4)+ | ||
[2] I112 (C2, 5) | (1; 2)+ |
IIa | [2] Pnn2 (34) | 1; 2; (3; 4) + (1/2, 1/2, 1/2) | |
[2] Pnm21 (Pmn21, 31) | 1; 3; (2; 4) + (1/2, 1/2, 1/2) | ||
[2] Pmn21 (31) | 1; 4; (2; 3) + (1/2, 1/2, 1/2) | ||
[2] Pmm2 (25) | 1; 2; 3; 4 |
IIb | none |
Maximal isomorphic subgroups of lowest index
IIc | [3] Imm2 (a' = 3a or b' = 3b) (44); [3] Imm2 (c' = 3c) (44) |
Minimal non-isomorphic supergroups
I | [2] Immm (71); [2] Imma (74); [2] I4mm (107); [2] I41md (109); [2] I-4m2 (119) |
II | [2] Cmm2 (c' = 1/2c) (35); [2] Amm2 (a' = 1/2a) (38); [2] Bmm2 (b' = 1/2b) (Amm2, 38) |