[script p]4mm 4mm Tetragonal
No. 34 [script p]4mm Patterson symmetry [script p]4/mmm

symmetry group diagram

Origin on 4mm

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

Symmetry operations

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

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

Positions

Multiplicity, Wyckoff letter,
Site symmetry		 Coordinates Reflection conditions
 General:
8 d 1
(1) x, y, z(2) -x, -y, z(3) -y, x, z(4) y, -x, z
(5) x, -y, z(6) -x, y, z(7) -y, -x, z(8) y, x, z
no conditions
  Special: no extra conditions
4 c  . m . 
x, 0, z-x, 0, z0, x, z0, -x, z
4 b  . . m 
x, x, z-x, -x, z-x, x, zx, -x, z
1 a  4 m m 
0, 0, z

Symmetry of special projections

Along [001]   4mm

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]411 ([script p]4, 23)1; 2; 3; 4
 [2] [script p]2m1 ([script p]mm2, 15)1; 2; 5; 6
 [2] [script p]21m ([script p]mm2, 15)1; 2; 7; 8
IIa none
IIb[2] [script p]4cc (c' = 2c) (36); [2] [script p]42mc (c' = 2c) ([script p]42cm, 35); [2] [script p]42cm (c' = 2c) (35)

Maximal isotypic subgroups and enantiomorphic subgroups of lowest index

IIc[2] [script p]4mm (c' = 2c) (34)

Minimal non-isotypic non-enantiomorphic supergroups

I[2] [script p]4/mmm (39)
IInone








































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