Table of Magnetic Space Group Symbols

Bilbao Crystallographic Server

Table of Magnetic Space Group Symbols

Help

P-31c1' [#163.80] (Type: 2 -- Type II (grey group))

[OG: P-31c1' #163.2.1311]

Wyckoff Positions of Group 163.80 (P-31c1')

Multiplicity

Wyckoff
letter

Coordinates

12

i

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

6

h

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

6

g

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

4

f

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

4

e

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

2

d

(2/3,1/3,1/4 | 0,0,0)

(1/3,2/3,3/4 | 0,0,0)

2

c

(1/3,2/3,1/4 | 0,0,0)

(2/3,1/3,3/4 | 0,0,0)

2

b

(0,0,0 | 0,0,0)

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

2

a

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

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

Site Symmetries of the Wyckoff Positions

WP	Representative	PG
2a	(0,0,1/4 \| 0,0,0)	321'
2b	(0,0,0 \| 0,0,0)	-31'
2c	(1/3,2/3,1/4 \| 0,0,0)	21'
2d	(2/3,1/3,1/4 \| 0,0,0)	21'
4e	(0,0,z \| 0,0,0)	31'
4f	(1/3,2/3,z \| 0,0,0)	11'
6g	(1/2,0,0 \| 0,0,0)	-11'
6h	(x,-x,1/4 \| 0,0,0)	21'
12i	(x,y,z \| 0,0,0)	11'

List all the elements of the orbits

Go to the operators of (P-31c1')
Go to the extinction rules of (P-31c1')

Back to the list of magnetic space groups derived from P-31c
Back to the list of Magnetic Space Groups

Bilbao Crystallographic Server
http://www.cryst.ehu.es

For comments, please mail to
administrador.bcs@ehu.es