[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
      (1 | 0, 0, 0)
(2)  2   0, 0, z
      (2z | 0, 0, 0)
(3)  4+   0, 0, z
      (4z | 0, 0, 0)
(4)  4-   0, 0, z
      (4z-1 | 0, 0, 0)
(5)  c   x, 0, z
      (my | 0, 0, 1/2)
(6)  c   0, yz
      (mx | 0, 0, 1/2)
(7)  c   x-xz
      (mxy | 0, 0, 1/2)
(8)  c   xxz
      (m-xy | 0, 0, 1/2)

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

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions

 General:
8 b 1
(1) xyz(2) -x-yz(3) -yxz(4) y-xz
(5) x-yz + 1/2(6) -xyz + 1/2(7) -y-xz + 1/2(8) yxz + 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 xx, 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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