Table of Magnetic Space Group Symbols

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Table of Magnetic Space Group Symbols

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P_aban [#50.284] (Type: 4 -- Type IV (klassengleiche))

[OG: P_2ac'c'm' #49.12.375]

Wyckoff Positions of Group 50.284 (P_aban)

Multiplicity

Wyckoff
letter

Coordinates

16

r

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

8

q

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

8

p

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

8

o

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

8

n

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

8

m

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

8

l

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

8

k

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

8

j

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

8

i

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

4

h

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

4

g

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

4

f

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

4

e

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

4

d

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

4

c

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

4

b

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

4

a

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

Site Symmetries of the Wyckoff Positions

WP	Representative	PG
4a	(1/4,0,0 \| 0,0,0)	2/m'
4b	(0,0,1/2 \| m_x,0,m_z)	-1
4c	(1/4,0,1/2 \| 0,0,0)	2/m'
4d	(0,0,0 \| m_x,0,m_z)	-1
4e	(1/4,1/4,0 \| 0,0,0)	222
4f	(0,1/4,0 \| m_x,0,0)	2
4g	(1/4,1/4,1/2 \| 0,0,0)	222
4h	(0,1/4,1/2 \| m_x,0,0)	2
8i	(x,1/4,0 \| m_x,0,0)	2
8j	(x,1/4,1/2 \| m_x,0,0)	2
8k	(1/4,1/4,z \| 0,0,m_z)	2
8l	(0,1/4,z \| m_x,m_y,0)	1
8m	(1/4,y,0 \| 0,m_y,0)	2
8n	(0,y,1/2 \| m_x,0,m_z)	1
8o	(1/4,y,1/2 \| 0,m_y,0)	2
8p	(0,y,0 \| m_x,0,m_z)	1
8q	(x,0,z \| m_x,0,m_z)	1
16r	(x,y,z \| m_x,m_y,m_z)	1

List all the elements of the orbits

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Go to the extinction rules of (P_aban)

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