Wyckoff Positions of Group 142 (I 41/a c d) [origin choice 1]

Multiplicity Wyckoff
letter
Site
symmetry
Coordinates
( 0,0,0)+ ( 1/2,1/2,1/2)+
32g1
(x, y, z) ( - x + 1/2, - y + 1/2, z + 1/2) ( - y, x + 1/2, z + 1/4) (y + 1/2, - x, z + 3/4)
( - x + 1/2, y, - z + 1/4) (x, - y + 1/2, - z + 3/4) (y + 1/2, x + 1/2, - z) ( - y, - x, - z + 1/2)
( - x, - y + 1/2, - z + 1/4) (x + 1/2, y, - z + 3/4) (y, - x, - z) ( - y + 1/2, x + 1/2, - z + 1/2)
(x + 1/2, - y + 1/2, z) ( - x, y, z + 1/2) ( - y + 1/2, - x, z + 1/4) (y, x + 1/2, z + 3/4)
16f..2
(x, x, 1/4) ( - x + 1/2, - x + 1/2, 3/4) ( - x, x + 1/2, 1/2) (x + 1/2, - x, 0)
( - x, - x + 1/2, 0) (x + 1/2, x, 1/2) (x, - x, 3/4) ( - x + 1/2, x + 1/2, 1/4)
16e.2.
(1/4, y, 1/8) (1/4, - y + 1/2, 5/8) ( - y, 3/4, 3/8) (y + 1/2, 3/4, 7/8)
(3/4, - y + 1/2, 1/8) (3/4, y, 5/8) (y, 3/4, 7/8) ( - y + 1/2, 3/4, 3/8)
16d2..
(0, 0, z) (0, 1/2, z + 1/4) (1/2, 0, - z + 1/4) (1/2, 1/2, - z)
(0, 1/2, - z + 1/4) (0, 0, - z) (1/2, 1/2, z) (1/2, 0, z + 1/4)
16c-1
(0, 1/4, 1/8) (1/2, 1/4, 5/8) (3/4, 1/2, 3/8) (3/4, 0, 7/8)
(1/2, 1/4, 1/8) (0, 1/4, 5/8) (3/4, 1/2, 7/8) (3/4, 0, 3/8)
8b2.2 2
(0, 0, 1/4) (0, 1/2, 1/2) (0, 1/2, 0) (0, 0, 3/4)
8a-4..
(0, 0, 0) (0, 1/2, 1/4) (1/2, 0, 1/4) (1/2, 1/2, 0)


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