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

Wyckoff Sets of Space Group P6122 (No. 178)

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

Letter Mult SS Rep. Equivalent WP
c 12 1 (x, y, z) c
b 6 ..2 (x, 2x, 1/4 ) b
a 6 .2. (x, 0, 0) a

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of P6122 (178) 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 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) 
a b c


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