Origin on n a 2
Asymmetric unit | 0 ≤ x ≤ 1/4; 0 ≤ y ≤ 1; 0 ≤ z ≤ 1/2 |
Symmetry operations
For (0, 0, 0)+ set
(1) 1 | (2) 2 0, 0, z | (3) a x, 0, z | (4) m 1/4, 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) c x, 1/4, z | (4) n(0, 1/2, 1/2) 0, 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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| hkl : h = 2n |
Symmetry of special projections
Along [001] c2mm a' = a b' = b Origin at 1/4, 1/4, z | Along [100] c1m1 a' = b b' = c Origin at x, 0, 0 | Along [010] p11m a' = 1/2c b' = 1/2a Origin at 0, y, 0 |
Maximal non-isomorphic subgroups
I | [2] I1a1 (Cc, 9) | (1; 3)+ | |
[2] Im11 (Cm, 8) | (1; 4)+ | ||
[2] I112 (C2, 5) | (1; 2)+ |
IIa | [2] Pna21 (33) | 1; 3; (2; 4) + (1/2, 1/2, 1/2) | |
[2] Pnc2 (30) | 1; 2; (3; 4) + (1/2, 1/2, 1/2) | ||
[2] Pma2 (28) | 1; 2; 3; 4 | ||
[2] Pmc21 (26) | 1; 4; (2; 3) + (1/2, 1/2, 1/2) |
IIb | none |
Maximal isomorphic subgroups of lowest index
IIc | [3] Ima2 (a' = 3a) (46); [3] Ima2 (b' = 3b) (46); [3] Ima2 (c' = 3c) (46) |
Minimal non-isomorphic supergroups
I | [2] Ibam (72); [2] Imma (74) |
II | [2] Cmm2 (c' = 1/2c) (35); [2] Amm2 (a' = 1/2a) (38); [2] Bme2 (b' = 1/2b) (Aem2, 39) |