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

Wyckoff Sets of Space Group P3221 (No. 154)

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

Letter Mult SS Rep. Equivalent WP
c 6 1 (x, y, z) c
b 3 .2. (x, 0, 1/6 ) ab
a 3 .2. (x, 0, 2/3 ) ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of P3221 (154) 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
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
3-x,-y,z
(
  -1   0   0    0
   0  -1   0    0
   0   0   1    0
)
2 0,0,z 
a b c
4-x,-y,z+1/2
(
  -1   0   0    0
   0  -1   0    0
   0   0   1   1/2
)
2 (0,0,1/2) 0,0,z 
b a c


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