6122 | 622 | Hexagonal |
No. 63 | 6122 | Patterson symmetry 6/mmm |
Origin on 2[100] at 61(2,1,1)1
Asymmetric unit | 0 ≤ z ≤ 1/12 |
Symmetry operations
(1) 1 | (2) 3+(1/3) 0, 0, z | (3) 3-(2/3) 0, 0, z |
(4) 2(1/2) 0, 0, z | (5) 6-(5/6) 0, 0, z | (6) 6+(1/6) 0, 0, z |
(7) 2 x, x, 1/6 | (8) 2 x, 0, 0 | (9) 2 0, y, 1/3 |
(10) 2 x, -x, 5/12 | (11) 2 x, 2x, 1/4 | (12) 2 2x, x, 1/12 |
Generators selected (1); t(0, 0, 1); (2); (4); (7)
Positions
Multiplicity, Wyckoff letter, Site symmetry | Coordinates | Reflection conditions | |||||||||||||||
General: | |||||||||||||||||
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| l: l = 6n |
Special: as above, plus | |||||||||||
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| l: l = 2n or l = 3n + 1 or l = 3n + 2 | |||||||||
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| l: l = 2n or l = 3n + 1 or l = 3n + 2 |
Symmetry of special projections
Along [001] 6mm Origin at 0, 0, z | Along [100] 2mg a' = c Origin at x, 0, 0 | Along [210] 2mg a' = c Origin at x, 1/2x, 1/12 |
Maximal non-isotypic non-enantiomorphic subgroups
I | [2] 6111 (61, 54) | 1; 2; 3; 4; 5; 6 |
[2] 3121 (3112, 47) | 1; 2; 3; 7; 8; 9 | |
[2] 3112 (47) | 1; 2; 3; 10; 11; 12 | |
[3] 2122 (2221, 14) | 1; 4; 7; 10 | |
[3] 2122 (2221, 14) | 1; 4; 8; 11 | |
[3] 2122 (2221, 14) | 1; 4; 9; 12 |
IIa | none |
IIb | none |
Maximal isotypic subgroups and enantiomorphic subgroups of lowest index
IIc | [5] 6522 (c' = 5c) (67); [7] 6122 (c' = 7c) (63) |
Minimal non-isotypic non-enantiomorphic supergroups
I | none |
II | [2] 6222 (c' = 1/2c) (64); [3] 6322 (c' = 1/3c) (65) |