[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   (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, 1/40, -y, 3/4
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, y, 1/4

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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