Bilbao Crystallographic Server arrow Wyckoff Sets: Equivalent Sets of Wyckoff Positions

Wyckoff Sets of Space Group Fd-3m (No. 227) [origin choice 2]

NOTE: The program uses the default choice for the group settings.

Letter Mult SS Rep. Equivalent WP
i 192 1 (x, y, z) i
h 96 ..2 (0, y, - y) h
g 96 ..m (x, x, z) g
f 48 2.m m (x, 1/8 , 1/8 ) f
e 32 .3m (x, x, x) e
d 16 .-3m (1/2 , 1/2 , 1/2 ) cd
c 16 .-3m (0, 0, 0) cd
b 8 -43m (3/8 , 3/8 , 3/8 ) ab
a 8 -43m (1/8 , 1/8 , 1/8 ) ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of Fd-3m (227) [origin choice 2] under the coset representatives of its affine normalizer


The affine normalizer coincides with the Euclidean one.

Index: 2

No. # Coset RepresentativeGeometrical Interpretation Transformed WP
1x,y,z
(
   1   0   0    0
   0   1   0    0
   0   0   1    0
)
1 
a b c d e f g h i
2x+1/2,y+1/2,z+1/2
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1   1/2
)
t (1/2,1/2,1/2) 
b a d c e f g h i


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