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

Wyckoff Sets of Space Group Cmce (No. 64)

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

Letter Mult SS Rep. Equivalent WP under
Euclidean normalizer
Equivalent WP under
affine normalizer
g 16 1 (x, y, z) g g
f 8 m.. (0, y, z) f f
e 8 .2. (1/4 , y, 1/4 ) e e
d 8 2.. (x, 0, 0) d d
c 8 -1 (1/4 , 1/4 , 0) c c
b 4 2/m.. (1/2 , 0, 0) ab ab
a 4 2/m.. (0, 0, 0) ab ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of Cmce (064) under the coset representatives of its affine normalizer


Index: 4

No. # Coset Representative Transformed WP
1x,y,z
(
   1   0   0    0
   0   1   0    0
   0   0   1    0
)
a b c d e f g
2x+1/2,y,z
(
   1   0   0   1/2
   0   1   0    0
   0   0   1    0
)
b a c d e f g
3x,y,z+1/2
(
   1   0   0    0
   0   1   0    0
   0   0   1   1/2
)
b a c d e f g
4x+1/2,y,z+1/2
(
   1   0   0   1/2
   0   1   0    0
   0   0   1   1/2
)
a b c d e f g


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