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

Wyckoff Sets of Space Group P6422 (No. 181)

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

Letter Mult SS Rep. Equivalent WP
k 12 1 (x, y, z) k
j 6 ..2 (x, 2x, 1/2 ) ij
i 6 ..2 (x, 2x, 0) ij
h 6 .2. (x, 0, 1/2 ) gh
g 6 .2. (x, 0, 0) gh
f 6 2.. (1/2 , 0, z) f
e 6 2.. (0, 0, z) e
d 3 222 (1/2 , 0, 1/2 ) cd
c 3 222 (1/2 , 0, 0) cd
b 3 222 (0, 0, 1/2 ) ab
a 3 222 (0, 0, 0) ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of P6422 (181) 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 d e f g h i j k
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 d c e f h g j i k


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