[script p]mm2 mm2 Orthorhombic
No. 15 [script p]mm2 Patterson symmetry [script p]mmm

symmetry group diagram

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, yz
      (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) xyz(2) -x-yz(3) x-yz(4) -xyz
no conditions
  Special: no extra conditions
2 c  m . . 
0, yz0, -yz
2 b  . m . 
x, 0, z-x, 0, z
1 a  m m 2 
0, 0, z

Symmetry of special projections

Along [001]   2mm

Origin at 0, 0, z
Along [100]   [script p]11m
a' = c   
Origin at x, 0, 0
Along [010]   [script p]11m
a' = c   
Origin at 0, y, 0

Maximal non-isotypic non-enantiomorphic subgroups


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

Maximal isotypic subgroups and enantiomorphic subgroups of lowest index


IIc[2] [script p]mm2 (c' = 2c) (15)

Minimal non-isotypic non-enantiomorphic supergroups


I[2] [script p]mmm (20); [2] [script p]4mm (34); [2] [script p]42cm (35); [2] [script p]-42m (37); [3] [script p]6mm (68)
IInone








































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