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

Wyckoff Sets of Space Group P4132 (No. 213)

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

Letter Mult SS Rep. Equivalent WP
e 24 1 (x, y, z) e
d 12 ..2 (1/8 , y, y + 1/4 ) d
c 8 .3. (x, x, x) c
b 4 .32 (7/8 , 7/8 , 7/8 ) ab
a 4 .32 (3/8 , 3/8 , 3/8 ) ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of P4132 (213) 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
2 x+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 c d e


Bilbao Crystallographic Server
http://www.cryst.ehu.es 		For comments, please mail to
administrador.bcs@ehu.eus