[script p]61 6 Hexagonal
No. 54 [script p]61 Patterson symmetry [script p]6/m

symmetry group diagram

Origin on 61

Asymmetric unit 0 ≤ z ≤ 1/6

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

Generators selected (1); t(0, 0, 1); (2); (4)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions

 General:
6 a 1
(1) xyz(2) -yx - yz + 1/3(3) -x + y-xz + 2/3
(4) -x-yz + 1/2(5) y-x + yz + 5/6(6) x - yxz + 1/6
l: l = 6n

Symmetry of special projections

Along [001]   6

Origin at 0, 0, z
Along [100]   [script p]11g
a' = c   
Origin at x, 0, 0
Along [210]   [script p]11g
a' = c   
Origin at x1/2x, 0

Maximal non-isotypic non-enantiomorphic subgroups


I[2] [script p]31 (43)1; 2; 3
 [3] [script p]1121 (9)1; 4
IIa none
IIbnone

Maximal isotypic subgroups and enantiomorphic subgroups of lowest index


IIc[5] [script p]65 (c' = 5c) (58); [7] [script p]61 (c' = 7c) (54)

Minimal non-isotypic non-enantiomorphic supergroups


I[2] [script p]6122 (63)
II[2] [script p]62 (c' = 1/2c) (55); [3] [script p]63 (c' = 1/3c) (56)








































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