[script p]4cc 4mm Tetragonal
No. 36 [script p]4cc Patterson symmetry [script p]4/mmm

symmetry group diagram

Origin on 4cc

Asymmetric unit 0 ≤ x; 0 ≤ y; 0 ≤ z ≤ 1/2

Symmetry operations

(1)  1   (2)  2   0, 0, z(3)  4+   0, 0, z(4)  4-   0, 0, z
(5)  c   x, 0, z(6)  c   0, y, z(7)  c   x, -x, z(8)  c   x, x, z

Generators selected (1); t(0, 0, 1); (2); (3); (5)

Positions

Multiplicity, Wyckoff letter,
Site symmetry		 Coordinates Reflection conditions
 General:
8 b 1
(1) x, y, z(2) -x, -y, z(3) -y, x, z(4) y, -x, z
(5) x, -y, z + 1/2(6) -x, y, z + 1/2(7) -y, -x, z + 1/2(8) y, x, z + 1/2
l: l = 2n
  Special: no extra conditions
2 a  4 . . 
0, 0, z0, 0, z + 1/2

Symmetry of special projections

Along [001]   4mm

Origin at 0, 0, z 		Along [100]   [script p]11m
a' = 1/2c   
Origin at x, 0, 0 		Along [110]   [script p]11m
a' = 1/2c   
Origin at x, x, 0

Maximal non-isotypic non-enantiomorphic subgroups

I[2] [script p]411 ([script p]4, 23)1; 2; 3; 4
 [2] [script p]2c1 ([script p]cc2, 16)1; 2; 5; 6
 [2] [script p]21c ([script p]cc2, 16)1; 2; 7; 8
IIa none
IIbnone

Maximal isotypic subgroups and enantiomorphic subgroups of lowest index

IIc[3] [script p]4cc (c' = 3c) (36)

Minimal non-isotypic non-enantiomorphic supergroups

I[2] [script p]4/mcc (40)
II[2] [script p]4mm (c' = 1/2c) (34)








































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