Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P_C-42₁c [#114.281] (Type: 4 -- Type IV (klassengleiche))

[OG: P_P-4'c2' #116.7.957]

Wyckoff Positions of Group 114.281 (P_C-42₁c)

Multiplicity

Wyckoff
letter

Coordinates

16

j

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

8

i

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

8

h

(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)	(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)

8

g

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

8

f

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

8

e

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

4

d

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

4

c

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

4

b

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

4

a

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

Site Symmetries of the Wyckoff Positions

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

List all the elements of the orbits

Go to the operators of (P_C-42₁c)
Go to the extinction rules of (P_C-42₁c)

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