Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P_C-4m2 [#115.289] (Type: 4 -- Type IV (klassengleiche))

[OG: P_P-42m #111.7.917]

Wyckoff Positions of Group 115.289 (P_C-4m2)

Multiplicity

Wyckoff
letter

Coordinates

16

o

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

8

n

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

8

m

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

8

l

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

8

k

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

8

j

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

8

i

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

4

h

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

4

g

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

4

f

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

4

e

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

2

d

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

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

2

c

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

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

2

b

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

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

2

a

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

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

Site Symmetries of the Wyckoff Positions

WP	Representative	PG
2a	(0,0,0 \| 0,0,0)	-42m
2b	(0,1/2,1/2 \| 0,0,0)	-4'm2'
2c	(0,0,1/2 \| 0,0,0)	-42m
2d	(0,1/2,0 \| 0,0,0)	-4'm2'
4e	(1/4,1/4,0 \| m_x,m_x,0)	2
4f	(1/4,1/4,1/2 \| m_x,m_x,0)	2
4g	(0,0,z \| 0,0,0)	mm2
4h	(0,1/2,z \| 0,0,0)	mm2
8i	(x,x,0 \| m_x,m_x,0)	2
8j	(x,x+1/2,1/2 \| m_x,-m_x,m_z)	1
8k	(x,x,1/2 \| m_x,m_x,0)	2
8l	(x,x+1/2,0 \| m_x,-m_x,m_z)	1
8m	(3/4,1/4,z \| m_x,m_y,0)	1
8n	(0,y,z \| m_x,0,0)	m
16o	(x,y,z \| m_x,m_y,m_z)	1

List all the elements of the orbits

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