mm2 mm2 Orthorhombic No. 15 mm2 Patterson symmetry mmm

Origin on mm2

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

Symmetry operations

 (1)  1      (1 | 0, 0, 0) (2)  2   0, 0, z      (2z | 0, 0, 0) (3)  m   x, 0, z      (my | 0, 0, 0) (4)  m   0, y, z      (mx | 0, 0, 0)

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

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions

General:
 4 d 1
 (1) x, y, z (2) -x, -y, z (3) x, -y, z (4) -x, y, z
no conditions
Special: no extra conditions
 2 c m . .
 0, y, z 0, -y, z
 2 b . m .
 x, 0, z -x, 0, z
 1 a m m 2
 0, 0, z

Symmetry of special projections

 Along [001]   2mmOrigin at 0, 0, z Along [100]   11ma' = c   Origin at x, 0, 0 Along [010]   11ma' = c   Origin at 0, y, 0

Maximal non-isotypic non-enantiomorphic subgroups

 I [2] 112 (8) 1; 2 [2] 1m1 (m11, 4) 1; 3 [2] m11 (4) 1; 4
 IIa none
 IIb [2] mc21 (c' = 2c) (17); [2] cm21 (c' = 2c) (mc21, 17); [2] cc2 (c' = 2c) (16)

Maximal isotypic subgroups and enantiomorphic subgroups of lowest index

 IIc [2] mm2 (c' = 2c) (15)

Minimal non-isotypic non-enantiomorphic supergroups

 I [2] mmm (20); [2] 4mm (34); [2] 42cm (35); [2] -42m (37); [3] 6mm (68)
 II none