[script p]-4 -4 Tetragonal
No. 27 [script p]-4 Patterson symmetry [script p]4/m

symmetry group diagram

Origin at -4

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

Symmetry operations

(1)  1   (2)  2   0, 0, z(3)  -4+   0, 0, z; 0, 0, 0(4)  -4-   0, 0, z; 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) y, -x, -z(4) -y, x, -z
no conditions
  Special: no extra conditions
2 c  2 . . 
0, 0, z0, 0, -z
1 b  -4 . . 
0, 0, 1/2
1 a  -4 . . 
0, 0, 0

Symmetry of special projections

Along [001]   4

Origin at 0, 0, z 		Along [100]   [script p]11m
a' = c   
Origin at x, 0, 0 		Along [110]   [script p]11m
a' = c   
Origin at x, x, 0

Maximal non-isotypic non-enantiomorphic subgroups

I[2] [script p]112 (8)1; 2
IIa none
IIbnone

Maximal isotypic subgroups and enantiomorphic subgroups of lowest index

IIc[2] [script p]-4 (c' = 2c) (27)

Minimal non-isotypic non-enantiomorphic supergroups

I[2] [script p]4/m (28); [2] [script p]42/m (29); [2] [script p]-42m (37); [2] [script p]-42c (38)
IInone








































to end of page
to top of page