[script p]2221 222 Orthorhombic
No. 14 [script p]2221 Patterson symmetry [script p]mmm

symmetry group diagram

Origin at 2121

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

Symmetry operations

(1)  1
      (1 | 0, 0, 0)
(2)  2 (1/2)   0, 0, z
      (2z | 0, 0, 1/2)
(3)  2   0, y1/4
      (2y | 0, 0, 1/2)
(4)  2   x, 0, 0
      (2x | 0, 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) xyz(2) -x-yz + 1/2(3) -xy-z + 1/2(4) x-y-z
l: l = 2n
  Special: no extra conditions
2 b  . 2 . 
0, y1/40, -y3/4
2 a  2 . . 
x, 0, 0-x, 0, 1/2

Symmetry of special projections

Along [001]   2mm

Origin at 0, 0, z
Along [100]   [script p]2mg
a' = c   
Origin at x, 0, 0
Along [010]   [script p]2mg
a' = c   
Origin at 0, y1/4

Maximal non-isotypic non-enantiomorphic subgroups


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

Maximal isotypic subgroups and enantiomorphic subgroups of lowest index


IIc[3] [script p]2221 (c' = 3c) (14)

Minimal non-isotypic non-enantiomorphic supergroups


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








































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