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

Wyckoff Sets of Space Group I4132 (No. 214)

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

Letter Mult SS Rep. Equivalent WP
i 48 1 (x, y, z) i
h 24 ..2 (1/8 , y, - y + 1/4 ) gh
g 24 ..2 (1/8 , y, y + 1/4 ) gh
f 24 2.. (x, 0, 1/4 ) f
e 16 .3. (x, x, x) e
d 12 2.2 2 (5/8 , 0, 1/4 ) cd
c 12 2.2 2 (1/8 , 0, 1/4 ) cd
b 8 .32 (7/8 , 7/8 , 7/8 ) ab
a 8 .32 (1/8 , 1/8 , 1/8 ) ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of I4132 (214) 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
2-x,-y,-z
(
  -1   0   0    0
   0  -1   0    0
   0   0  -1    0
)
-1 0,0,0 
b a d c e f h g i


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