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

Wyckoff Sets of Space Group P65 (No. 170)

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

Letter Mult SS Rep. Equivalent WP
a 6 1 (x, y, z) a

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Transformation of the Wyckoff Positions of P65 (170) under the coset representatives of its affine normalizer


The affine normalizer coincides with the Euclidean one.

Index: 2 · (∞)

No. # Coset RepresentativeGeometrical Interpretation Transformed WP
1x,y,z
(
   1   0   0    0
   0   1   0    0
   0   0   1    0
)
1 
a
2y,x,-z
(
   0   1   0    0
   1   0   0    0
   0   0  -1    0
)
2 x,x,0 
a




Additional traslations generators


No. # Continuous TranslationsGeometrical Interpretation Transformed WP
1 x,y,z+t
(
   1   0   0    0
   0   1   0    0
   0   0   1    t
)
t (0,0,t) 
a


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