Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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I_P42'2' [#97.8.812] (Type: 4 -- Type IV (klassengleiche))

[BNS: P_I42₁2] #90.102

Wyckoff Positions of Group 97.8.812 (I_P42'2')

Multiplicity

Wyckoff
letter

Coordinates

16

k

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

8

j

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

8

i

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

8

h

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

8

g

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

8

f

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

4

e

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

4

d

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

4

c

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

2

b

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

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

2

a

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

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

Go to the operators of (I_P42'2')
Go to the extinction rules of 90.102 (P_I42₁2) ← Corresponding space group in BNS settings

Back to the list of magnetic space groups derived from I422
Back to the list of Magnetic Space Groups

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