Wyckoff Positions of Magnetic Space Groups

Bilbao Crystallographic Server

Wyckoff Positions of Magnetic Space Groups

Help

Wyckoff Positions of the Group Ia-3 (#206.37)
**206.37 Ia-3.1 (UNI symbol)**

For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: Ia-3 (#206.1.1538)

Multiplicity

Wyckoff
letter

Coordinates

(0,0,0) + (1/2,1/2,1/2) +

48

e

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

24

d

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

16

c

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

8

b

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

8

a

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

Site Symmetries of the Wyckoff Positions

WP	Representative	Site symmetry
8a	(0,0,0 \| m_x,m_x,m_x)	.-3.
8b	(1/4,1/4,1/4 \| m_x,m_x,m_x)	.-3.
16c	(x,x,x \| m_x,m_x,m_x)	.3.
24d	(x,0,1/4 \| m_x,0,0)	2..
48e	(x,y,z \| m_x,m_y,m_z)	1

List the original elements of the orbits
List all the elements of the orbits

Go to the list of the Symmetry Operators of the Group Ia-3 (#206.37)
Go to the Systematic absences for the Group Ia-3 (#206.37)

Bilbao Crystallographic Server
http://www.cryst.ehu.es

Licencia de Creative Commons

For comments, please mail to
administrador.bcs@ehu.eus