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

Wyckoff Sets of Space Group Fm-3c (No. 226)

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

Letter Mult SS Rep. Equivalent WP
j 192 1 (x, y, z) j
i 96 m.. (0, y, z) i
h 96 ..2 (1/4 , y, y) h
g 64 .3. (x, x, x) g
f 48 4.. (x, 1/4 , 1/4 ) f
e 48 mm2 . . (x, 0, 0) e
d 24 4/m.. (0, 1/4 , 1/4 ) d
c 24 -4m. 2 (1/4 , 0, 0) c
b 8 m-3. (0, 0, 0) b
a 8 432 (1/4 , 1/4 , 1/4 ) a

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of Fm-3c (226) 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 j
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) 
a b c d e f g h i j


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