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

Wyckoff Sets of Space Group I432 (No. 211)

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

Letter Mult SS Rep. Equivalent WP
j 48 1 (x, y, z) j
i 24 ..2 (1/4 , y, - y + 1/2 ) i
h 24 ..2 (0, y, y) h
g 24 2.. (x, 1/2 , 0) g
f 16 .3. (x, x, x) f
e 12 4.. (x, 0, 0) e
d 12 2.2 2 (1/4 , 1/2 , 0) d
c 8 .32 (1/4 , 1/4 , 1/4 ) c
b 6 42. 2 (0, 1/2 , 1/2 ) b
a 2 432 (0, 0, 0) a

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of I432 (211) under the coset representatives of its affine normalizer


The affine normalizer coincides with the Euclidean one.

Index: 2

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


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