Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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Pn-31' [#201.19] (Type: 2 -- Type II (grey group))

[OG: Pn-31' #201.2.1521]

Wyckoff Positions of Group 201.19 (Pn-31')

Multiplicity

Wyckoff
letter

Coordinates

24

h

(x,y,z \| 0,0,0)	(x,-y+1/2,-z+1/2 \| 0,0,0)	(-x+1/2,y,-z+1/2 \| 0,0,0)
(-x+1/2,-y+1/2,z \| 0,0,0)	(z,x,y \| 0,0,0)	(y,z,x \| 0,0,0)
(-y+1/2,z,-x+1/2 \| 0,0,0)	(-z+1/2,-x+1/2,y \| 0,0,0)	(-y+1/2,-z+1/2,x \| 0,0,0)
(z,-x+1/2,-y+1/2 \| 0,0,0)	(y,-z+1/2,-x+1/2 \| 0,0,0)	(-z+1/2,x,-y+1/2 \| 0,0,0)
(-x,-y,-z \| 0,0,0)	(-x,y+1/2,z+1/2 \| 0,0,0)	(x+1/2,-y,z+1/2 \| 0,0,0)
(x+1/2,y+1/2,-z \| 0,0,0)	(-z,-x,-y \| 0,0,0)	(-y,-z,-x \| 0,0,0)
(y+1/2,-z,x+1/2 \| 0,0,0)	(z+1/2,x+1/2,-y \| 0,0,0)	(y+1/2,z+1/2,-x \| 0,0,0)
(-z,x+1/2,y+1/2 \| 0,0,0)	(-y,z+1/2,x+1/2 \| 0,0,0)	(z+1/2,-x,y+1/2 \| 0,0,0)

12

g

(x,3/4,1/4 \| 0,0,0)	(-x+1/2,3/4,1/4 \| 0,0,0)	(1/4,x,3/4 \| 0,0,0)
(3/4,1/4,x \| 0,0,0)	(3/4,1/4,-x+1/2 \| 0,0,0)	(1/4,-x+1/2,3/4 \| 0,0,0)
(-x,1/4,3/4 \| 0,0,0)	(x+1/2,1/4,3/4 \| 0,0,0)	(3/4,-x,1/4 \| 0,0,0)
(1/4,3/4,-x \| 0,0,0)	(1/4,3/4,x+1/2 \| 0,0,0)	(3/4,x+1/2,1/4 \| 0,0,0)

12

f

(x,1/4,1/4 \| 0,0,0)	(-x+1/2,1/4,1/4 \| 0,0,0)	(1/4,x,1/4 \| 0,0,0)
(1/4,1/4,x \| 0,0,0)	(1/4,1/4,-x+1/2 \| 0,0,0)	(1/4,-x+1/2,1/4 \| 0,0,0)
(-x,3/4,3/4 \| 0,0,0)	(x+1/2,3/4,3/4 \| 0,0,0)	(3/4,-x,3/4 \| 0,0,0)
(3/4,3/4,-x \| 0,0,0)	(3/4,3/4,x+1/2 \| 0,0,0)	(3/4,x+1/2,3/4 \| 0,0,0)

8

e

(x,x,x \| 0,0,0)	(x,-x+1/2,-x+1/2 \| 0,0,0)	(-x+1/2,x,-x+1/2 \| 0,0,0)
(-x+1/2,-x+1/2,x \| 0,0,0)	(-x,-x,-x \| 0,0,0)	(-x,x+1/2,x+1/2 \| 0,0,0)
(x+1/2,-x,x+1/2 \| 0,0,0)	(x+1/2,x+1/2,-x \| 0,0,0)

6

d

(1/4,3/4,3/4 \| 0,0,0)	(3/4,1/4,3/4 \| 0,0,0)	(3/4,3/4,1/4 \| 0,0,0)
(3/4,1/4,1/4 \| 0,0,0)	(1/4,3/4,1/4 \| 0,0,0)	(1/4,1/4,3/4 \| 0,0,0)

4

c

(1/2,1/2,1/2 \| 0,0,0)	(1/2,0,0 \| 0,0,0)	(0,1/2,0 \| 0,0,0)
(0,0,1/2 \| 0,0,0)

4

b

(0,0,0 \| 0,0,0)	(0,1/2,1/2 \| 0,0,0)	(1/2,0,1/2 \| 0,0,0)
(1/2,1/2,0 \| 0,0,0)

2

a

(1/4,1/4,1/4 | 0,0,0)

(3/4,3/4,3/4 | 0,0,0)

Site Symmetries of the Wyckoff Positions

WP	Representative	PG
2a	(1/4,1/4,1/4 \| 0,0,0)	231'
4b	(0,0,0 \| 0,0,0)	-31'
4c	(1/2,1/2,1/2 \| 0,0,0)	-31'
6d	(1/4,3/4,3/4 \| 0,0,0)	2221'
8e	(x,x,x \| 0,0,0)	31'
12f	(x,1/4,1/4 \| 0,0,0)	21'
12g	(x,3/4,1/4 \| 0,0,0)	21'
24h	(x,y,z \| 0,0,0)	11'

List all the elements of the orbits

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Go to the extinction rules of (Pn-31')

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