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

Wyckoff Sets of Space Group Ccce (No. 68) [origin choice 2]

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
i 16 1 (x, y, z) i i
h 8 ..2 (1/4 , 0, z) h h
g 8 ..2 (0, 1/4 , z) g g
f 8 .2. (0, y, 1/4 ) f ef
e 8 2.. (x, 1/4 , 1/4 ) e ef
d 8 -1 (0, 0, 0) d cd
c 8 -1 (1/4 , 3/4 , 0) c cd
b 4 222 (0, 1/4 , 3/4 ) ab ab
a 4 222 (0, 1/4 , 1/4 ) ab ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of Ccce (068) [origin choice 2] under the coset representatives of its affine normalizer


Index: 8

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 h i
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 h i
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 h i
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 h i
5y+1/4,x-1/4,z
(
   0   1   0   1/4
   1   0   0   -1/4
   0   0   1    0
)
 
a b d c f e g h i
6y+3/4,x-1/4,z
(
   0   1   0   3/4
   1   0   0   -1/4
   0   0   1    0
)
 
b a d c f e g h i
7y+1/4,x-1/4,z+1/2
(
   0   1   0   1/4
   1   0   0   -1/4
   0   0   1   1/2
)
 
b a d c f e g h i
8y+3/4,x-1/4,z+1/2
(
   0   1   0   3/4
   1   0   0   -1/4
   0   0   1   1/2
)
 
a b d c f e g h i


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