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

Wyckoff Sets of Space Group Ia-3 (No. 206)

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

Letter Mult SS Rep. Equivalent WP
e 48 1 (x, y, z) e
d 24 2.. (x, 0, 1/4 ) d
c 16 .3. (x, x, x) c
b 8 .-3. (1/4 , 1/4 , 1/4 ) ab
a 8 .-3. (0, 0, 0) ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of Ia-3 (206) 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
2y+1/4,x+1/4,z+1/4
(
   0   1   0   1/4
   1   0   0   1/4
   0   0   1   1/4
)
d (1/4,1/4,1/4) x,x,z 
b a c d e


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