2221 222 Orthorhombic No. 14 2221 Patterson symmetry mmm

Origin at 2121

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

Symmetry operations

 (1)  1 (2)  2(1/2)   0, 0, z (3)  2   0, y, 1/4 (4)  2   x, 0, 0

Generators selected (1); t(0, 0, 1); (2); (3)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions

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

Symmetry of special projections

 Along [001]   2mmOrigin at 0, 0, z Along [100]   2mga' = c   Origin at x, 0, 0 Along [010]   2mga' = c   Origin at 0, y, 1/4

Maximal non-isotypic non-enantiomorphic subgroups

 I [2] 1121 (9) 1; 2 [2] 121 (211, 3) 1; 3 [2] 211 (3) 1; 4
 IIa none
 IIb none

Maximal isotypic subgroups and enantiomorphic subgroups of lowest index

 IIc [3] 2221 (c' = 3c) (14)

Minimal non-isotypic non-enantiomorphic supergroups

 I [2] mcm (22); [2] 4122 (31); [2] 4322 (33); [3] 6122 (63); [3] 6322 (65); [3] 6522 (67)
 II [2] 222 (c' = 1/2c) (13)