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

Wyckoff Sets of Space Group I4122 (No. 98)

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

Letter Mult SS Rep. Equivalent WP
g 16 1 (x, y, z) g
f 8 .2. (x, 1/4 , 1/8 ) f
e 8 ..2 ( - x, x, 0) de
d 8 ..2 (x, x, 0) de
c 8 2.. (0, 0, z) c
b 4 2.2 2 (0, 0, 1/2 ) ab
a 4 2.2 2 (0, 0, 0) ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of I4122 (098) 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
2x,y,z+1/2
(
   1   0   0    0
   0   1   0    0
   0   0   1   1/2
)
t (0,0,1/2) 
b a c d e f g
3-x+1/2,-y,-z+1/4
(
  -1   0   0   1/2
   0  -1   0    0
   0   0  -1   1/4
)
-1 1/4,0,1/8 
b a c e d f g
4-x+1/2,-y,-z+3/4
(
  -1   0   0   1/2
   0  -1   0    0
   0   0  -1   3/4
)
-1 1/4,0,3/8 
a b c e d f g


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