62 6 Hexagonal No. 55 62 Patterson symmetry 6/m

Origin on 2 on 62

 Asymmetric unit 0 ≤ x; 0 ≤ y; 0 ≤ z ≤ 1; y ≤ x

Symmetry operations

 (1)  1      (1 | 0, 0, 0) (2)  3+ (2/3)   0, 0, z      (3z | 0, 0, 2/3) (3)  3- (1/3)   0, 0, z      (3z-1 | 0, 0, 1/3) (4)  2   0, 0, z      (2z | 0, 0, 0) (5)  6- (2/3)   0, 0, z      (6z-1 | 0, 0, 2/3) (6)  6+ (1/3)   0, 0, z      (6z | 0, 0, 1/3)

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

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions

General:
 6 b 1
 (1) x, y, z (2) -y, x - y, z + 2/3 (3) -x + y, -x, z + 1/3 (4) -x, -y, z (5) y, -x + y, z + 2/3 (6) x - y, x, z + 1/3
l: l = 3n
Special: no extra conditions
 3 a 2 . .
 0, 0, z 0, 0, z + 2/3 0, 0, z + 1/3

Symmetry of special projections

 Along [001]   6Origin at 0, 0, z Along [100]   11ma' = c   Origin at x, 0, 0 Along [210]   11ma' = c   Origin at x, 1/2x, 0

Maximal non-isotypic non-enantiomorphic subgroups

 I [2] 32 (44) 1; 2; 3 [3] 112 (8) 1; 4
 IIa none
 IIb [2] 61 (c' = 2c) (54)

Maximal isotypic subgroups and enantiomorphic subgroups of lowest index

 IIc [2] 64 (c' = 2c) (57); [7] 62 (c' = 7c) (55)

Minimal non-isotypic non-enantiomorphic supergroups

 I [2] 6222 (64)
 II [3] 6 (c' = 1/3c) (53)