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

Wyckoff Sets of Space Group F432 (No. 209)

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

Letter Mult SS Rep. Equivalent WP
j 96 1 (x, y, z) j
i 48 2.. (x, 1/4 , 1/4 ) i
h 48 ..2 (1/2 , y, y) gh
g 48 ..2 (0, y, y) gh
f 32 .3. (x, x, x) f
e 24 4.. (x, 0, 0) e
d 24 2.2 2 (0, 1/4 , 1/4 ) d
c 8 23. (1/4 , 1/4 , 1/4 ) c
b 4 432 (1/2 , 1/2 , 1/2 ) ab
a 4 432 (0, 0, 0) ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of F432 (209) under the coset representatives of its affine normalizer


The affine normalizer coincides with the Euclidean one.

Index: 4

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) 
b a c d e f h g i j
3-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
4-x+1/2,-y+1/2,-z+1/2
(
  -1   0   0   1/2
   0  -1   0   1/2
   0   0  -1   1/2
)
-1 1/4,1/4,1/4 
b a c d e f h g i j


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