Wyckoff Positions of Space Groups

Wyckoff Positions of Group 140 (I 4/m c m)

Multiplicity

Wyckoff
letter

Site
symmetry

Coordinates

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

(x, y, z)	( - x, - y, z)	( - y, x, z)	(y, - x, z)
( - x, y, - z + 1/2)	(x, - y, - z + 1/2)	(y, x, - z + 1/2)	( - y, - x, - z + 1/2)
( - x, - y, - z)	(x, y, - z)	(y, - x, - z)	( - y, x, - z)
(x, - y, z + 1/2)	( - x, y, z + 1/2)	( - y, - x, z + 1/2)	(y, x, z + 1/2)

..m

(x, x + 1/2, z)	( - x, - x + 1/2, z)	( - x + 1/2, x, z)	(x + 1/2, - x, z)
( - x, x + 1/2, - z + 1/2)	(x, - x + 1/2, - z + 1/2)	(x + 1/2, x, - z + 1/2)	( - x + 1/2, - x, - z + 1/2)

m..

(x, y, 0)	( - x, - y, 0)	( - y, x, 0)	(y, - x, 0)
( - x, y, 1/2)	(x, - y, 1/2)	(y, x, 1/2)	( - y, - x, 1/2)

.2.

(x, 0, 1/4)	( - x, 0, 1/4)	(0, x, 1/4)	(0, - x, 1/4)
( - x, 0, 3/4)	(x, 0, 3/4)	(0, - x, 3/4)	(0, x, 3/4)

..2

(x, x, 1/4)	( - x, - x, 1/4)	( - x, x, 1/4)	(x, - x, 1/4)
( - x, - x, 3/4)	(x, x, 3/4)	(x, - x, 3/4)	( - x, x, 3/4)

m.2 m

(x, x + 1/2, 0)

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

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

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

2.m m

(0, 1/2, z)

(1/2, 0, z)

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

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

4..

(0, 0, z)

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

(0, 0, - z)

(0, 0, z + 1/2)

..2/m

(1/4, 1/4, 1/4)

(3/4, 3/4, 1/4)

(3/4, 1/4, 1/4)

(1/4, 3/4, 1/4)

m.m m

(0, 1/2, 0)

(1/2, 0, 0)

4/m..

(0, 0, 0)

(0, 0, 1/2)

-42m

(0, 1/2, 1/4)

(1/2, 0, 1/4)

422

(0, 0, 1/4)

(0, 0, 3/4)

If you want to see the Wyckoff position in other setting, click here

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