Table of Magnetic Space Group Symbols

Bilbao Crystallographic Server

Table of Magnetic Space Group Symbols

Help

I_Pm'-3' [#204.5.1534] (Type: 4 -- Type IV (klassengleiche))

[BNS: P_In-3] #201.21

Wyckoff Positions of Group 204.5.1534 (I_Pm'-3')

Multiplicity

Wyckoff
letter

Coordinates

48

h

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

24

g

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

16

f

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

12

e

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

12

d

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

8

c

(1/4,1/4,1/4 \| m_x,m_x,m_x)	(1/4,-1/4,-1/4 \| m_x,-m_x,-m_x)	(-1/4,1/4,-1/4 \| -m_x,m_x,-m_x)
(-1/4,-1/4,1/4 \| -m_x,-m_x,m_x)	(3/4,3/4,3/4 \| -m_x,-m_x,-m_x)	(3/4,1/4,1/4 \| -m_x,m_x,m_x)
(1/4,3/4,1/4 \| m_x,-m_x,m_x)	(1/4,1/4,3/4 \| m_x,m_x,-m_x)

6

b

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

2

a

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

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

Go to the operators of (I_Pm'-3')
Go to the extinction rules of 201.21 (P_In-3) ← Corresponding space group in BNS settings

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