Wyckoff Positions of Space Groups

Wyckoff Positions of Group 201 (P n -3) [origin choice 1]

Multiplicity

Wyckoff
letter

Site
symmetry

Coordinates

24

h

1

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

12

g

2..

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

12

f

2..

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

8

e

.3.

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

6

d

222 . .

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

4

c

.-3.

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

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

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

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

4

b

.-3.

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

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

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

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

2

a

23.

(0, 0, 0)

(1/2, 1/2, 1/2)

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

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