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

Wyckoff Sets of Space Group R-3c (No. 167) [hexagonal axes]

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

Letter Mult SS Rep. Equivalent WP
f 36 1 (x, y, z) f
e 18 .2 (x, 0, 1/4 ) e
d 18 -1 (1/2 , 0, 0) d
c 12 3. (0, 0, z) c
b 6 -3. (0, 0, 0) b
a 6 32 (0, 0, 1/4 ) a

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of R-3c (167) [hexagonal axes] 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
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 d e f


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