Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P_C-42₁m [#113.273] (Type: 4 -- Type IV (klassengleiche))

[OG: P_P-4'm2' #115.10.950]

Wyckoff Positions of Group 113.273 (P_C-42₁m)

Multiplicity

Wyckoff
letter

Coordinates

16

l

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

8

k

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

8

j

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

8

i

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

8

h

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

4

g

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

4

f

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

4

e

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

2

d

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

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

2

c

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

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

2

b

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

(0,0,0 | 0,0,-m_z)

2

a

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

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

Site Symmetries of the Wyckoff Positions

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

List all the elements of the orbits

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