Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P_I4₂cm [#101.186] (Type: 4 -- Type IV (klassengleiche))

[OG: I_P4'c'm #108.7.898]

Wyckoff Positions of Group 101.186 (P_I4₂cm)

Multiplicity

Wyckoff
letter

Coordinates

16

d

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

8

c

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

4

b

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

4

a

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

Site Symmetries of the Wyckoff Positions

WP	Representative	PG
4a	(1/2,0,z \| 0,0,0)	4'
4b	(0,0,z \| 0,0,0)	mm2
8c	(x,x,z \| m_x,-m_x,0)	m
16d	(x,y,z \| m_x,m_y,m_z)	1

List all the elements of the orbits

Go to the operators of (P_I4₂cm)
Go to the extinction rules of (P_I4₂cm)

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