[script p]-4m2 -4m2 Tetragonal
No. 37 [script p]-4m2 Patterson symmetry [script p]4/mmm
SECOND SETTING

symmetry group diagram

Origin at -4m2

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; 0, 0, 0(4)  -4-   0, 0, z; 0, 0, 0
(5)  m   x, 0, z(6)  m   0, y, z(7)  2   x, x, 0(8)  2   x, -x, 0

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

Positions

Multiplicity, Wyckoff letter,
Site symmetry		 Coordinates Reflection conditions
 General:
8 g 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 f  . m . 
x, 0, z-x, 0, z0, -x, -z0, x, -z
4 e  . . 2 
x, x, 1/2-x, -x, 1/2x, -x, 1/2-x, x, 1/2
4 d  . . 2 
x, x, 0-x, -x, 0x, -x, 0-x, x, 0
2 c  2 mm . 
0, 0, z0, 0, -z
1 b  -4 m 2 
0, 0, 1/2
1 a  -4 m 2 
0, 0, 0

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]2mm
a' = c   
Origin at x, x, 0

Maximal non-isotypic non-enantiomorphic subgroups

I[2] [script p]-411 ([script p]-4, 27)1; 2; 3; 4
 [2] [script p]2m1 ([script p]mm2, 15)1; 2; 5; 6
 [2] [script p]212 ([script p]222, 13)1; 2; 7; 8
IIa none
IIb[2] [script p]-4c2 (c' = 2c) ([script p]-42c, 38)

Maximal isotypic subgroups and enantiomorphic subgroups of lowest index

IIc[2] [script p]-4m2 (c' = 2c) ([script p]-42m, 37)

Minimal non-isotypic non-enantiomorphic supergroups

I[2] [script p]4/mmm (39); [2] [script p]42/mmc (41)
IInone








































to end of page
to top of page