Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P_P-42m [#111.7.917] (Type: 4 -- Type IV (klassengleiche))

[BNS: P_C-4m2] #115.289

Wyckoff Positions of Group 111.7.917 (P_P-42m)

Multiplicity

Wyckoff
letter

Coordinates

16

o

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

8

n

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

8

m

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

8

l

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

8

k

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

8

j

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

8

i

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

4

h

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

4

g

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

4

f

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

4

e

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

2

d

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

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

2

c

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

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

2

b

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

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

2

a

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

(1,0,0 | 0,0,0)

Go to the operators of (P_P-42m)
Go to the extinction rules of 115.289 (P_C-4m2) ← Corresponding space group in BNS settings

Back to the list of magnetic space groups derived from P-4m2
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