Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P_C4/mnc [#128.409] (Type: 4 -- Type IV (klassengleiche))

[OG: P_P4'/mcc' #124.12.1029]

Wyckoff Positions of Group 128.409 (P_C4/mnc)

Multiplicity

Wyckoff
letter

Coordinates

32

n

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

16

m

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

16

l

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

16

k

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

16

j

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

16

i

(3/4,3/4,z \| m_x,m_y,0)	(1/4,3/4,z \| -m_y,m_x,0)	(3/4,1/4,z \| m_y,-m_x,0)
(1/4,3/4,-z+1/2 \| m_x,-m_y,0)	(3/4,1/4,-z+1/2 \| -m_x,m_y,0)	(1/4,1/4,z \| -m_x,-m_y,0)
(1/4,1/4,-z+1/2 \| m_y,m_x,0)	(3/4,3/4,-z+1/2 \| -m_y,-m_x,0)	(1/4,1/4,-z \| m_x,m_y,0)
(3/4,1/4,-z \| -m_y,m_x,0)	(1/4,3/4,-z \| m_y,-m_x,0)	(3/4,1/4,z+1/2 \| m_x,-m_y,0)
(1/4,3/4,z+1/2 \| -m_x,m_y,0)	(3/4,3/4,-z \| -m_x,-m_y,0)	(3/4,3/4,z+1/2 \| m_y,m_x,0)
(1/4,1/4,z+1/2 \| -m_y,-m_x,0)

8

h

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

8

g

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

8

f

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

8

e

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

4

d

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

4

c

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

4

b

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

4

a

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

Site Symmetries of the Wyckoff Positions

WP	Representative	PG
4a	(0,1/2,1/4 \| 0,0,0)	4'22'
4b	(0,1/2,0 \| 0,0,0)	4'/m
4c	(0,0,1/4 \| 0,0,m_z)	4
4d	(0,0,0 \| 0,0,m_z)	4/m
8e	(3/4,3/4,0 \| 0,0,0)	2'/m
8f	(3/4,3/4,1/4 \| m_x,-m_x,0)	2
8g	(0,1/2,z \| 0,0,0)	4'
8h	(0,0,z \| 0,0,m_z)	4
16i	(3/4,3/4,z \| m_x,m_y,0)	1
16j	(0,y,1/4 \| m_x,0,m_z)	1
16k	(x,x+1/2,1/4 \| m_x,m_x,0)	2
16l	(x,x,1/4 \| m_x,-m_x,m_z)	1
16m	(x,y,0 \| 0,0,m_z)	m
32n	(x,y,z \| m_x,m_y,m_z)	1

List all the elements of the orbits

Go to the operators of (P_C4/mnc)
Go to the extinction rules of (P_C4/mnc)

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