Table of Magnetic Space Group Symbols

Bilbao Crystallographic Server

Table of Magnetic Space Group Symbols

Help

P-3'c1 [#165.93] (Type: 3 -- Type III (translationgleiche))

[OG: P-3'c1 #165.3.1324]

Wyckoff Positions of Group 165.93 (P-3'c1)

Multiplicity

Wyckoff
letter

Coordinates

12

g

(x,y,z \| m_x,m_y,m_z)	(-y,x-y,z \| -m_y,m_x-m_y,m_z)	(-x+y,-x,z \| -m_x+m_y,-m_x,m_z)
(x-y,-y,-z+1/2 \| -m_x+m_y,m_y,m_z)	(y,x,-z+1/2 \| -m_y,-m_x,m_z)	(-x,-x+y,-z+1/2 \| m_x,m_x-m_y,m_z)
(-x,-y,-z \| -m_x,-m_y,-m_z)	(y,-x+y,-z \| m_y,-m_x+m_y,-m_z)	(x-y,x,-z \| m_x-m_y,m_x,-m_z)
(-x+y,y,z+1/2 \| m_x-m_y,-m_y,-m_z)	(-y,-x,z+1/2 \| m_y,m_x,-m_z)	(x,x-y,z+1/2 \| -m_x,-m_x+m_y,-m_z)

6

f

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

6

e

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

4

d

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

4

c

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

2

b

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

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

2

a

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

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

Site Symmetries of the Wyckoff Positions

WP	Representative	PG
2a	(0,0,1/4 \| 0,0,m_z)	3
2b	(0,0,0 \| 0,0,0)	-3'
4c	(0,0,z \| 0,0,m_z)	3
4d	(1/3,2/3,z \| 0,0,m_z)	1
6e	(1/2,0,0 \| 0,0,0)	-1'
6f	(x,0,1/4 \| m_x,2m_x,m_z)	1
12g	(x,y,z \| m_x,m_y,m_z)	1

List all the elements of the orbits

Go to the operators of (P-3'c1)
Go to the extinction rules of (P-3'c1)

Back to the list of magnetic space groups derived from P-3c1
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