4cc 4mm Tetragonal No. 36 4cc Patterson symmetry 4/mmm

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, y, z      (mx | 0, 0, 1/2) (7)  c   x, -x, z      (mxy | 0, 0, 1/2) (8)  c   x, x, z      (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) 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, z 0, 0, z + 1/2

Symmetry of special projections

 Along [001]   4mmOrigin at 0, 0, z Along [100]   11ma' = 1/2c   Origin at x, 0, 0 Along [110]   11ma' = 1/2c   Origin at x, x, 0

Maximal non-isotypic non-enantiomorphic subgroups

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

Maximal isotypic subgroups and enantiomorphic subgroups of lowest index

 IIc [3] 4cc (c' = 3c) (36)

Minimal non-isotypic non-enantiomorphic supergroups

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