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

Wyckoff Sets of Space Group I213 (No. 199)

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

Letter Mult SS Rep. Equivalent WP
c 24 1 (x, y, z) c
b 12 2.. (x, 0, 1/4 ) b
a 8 .3. (x, x, x) a

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of I213 (199) 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
2-x,-y,-z
(
  -1   0   0    0
   0  -1   0    0
   0   0  -1    0
)
-1 0,0,0 
a b c
3y+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 
a b c
4-y+1/4,-x+1/4,-z+1/4
(
   0  -1   0   1/4
  -1   0   0   1/4
   0   0  -1   1/4
)
2 x,-x+1/4,1/8 
a b c


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