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

Wyckoff Sets of Space Group Fddd (No. 70) [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
h 32 1 (x, y, z) h h
g 16 ..2 (1/8 , 1/8 , z) g efg
f 16 .2. (1/8 , y, 1/8 ) f efg
e 16 2.. (x, 1/8 , 1/8 ) e efg
d 16 -1 (1/2 , 1/2 , 1/2 ) cd cd
c 16 -1 (0, 0, 0) cd cd
b 8 222 (1/8 , 1/8 , 5/8 ) ab ab
a 8 222 (1/8 , 1/8 , 1/8 ) ab ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of Fddd (070) [origin choice 2] under the coset representatives of its affine normalizer


Index: 12

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
2z,x,y
(
   0   0   1    0
   1   0   0    0
   0   1   0    0
)
 
a b c d g e f h
3y,z,x
(
   0   1   0    0
   0   0   1    0
   1   0   0    0
)
 
a b c d f g e h
4y,x,z
(
   0   1   0    0
   1   0   0    0
   0   0   1    0
)
 
a b c d f e g h
5z,y,x
(
   0   0   1    0
   0   1   0    0
   1   0   0    0
)
 
a b c d g f e h
6x,z,y
(
   1   0   0    0
   0   0   1    0
   0   1   0    0
)
 
a b c d e g f h
7x+1/2,y,z
(
   1   0   0   1/2
   0   1   0    0
   0   0   1    0
)
 
b a d c e f g h
8z+1/2,x,y
(
   0   0   1   1/2
   1   0   0    0
   0   1   0    0
)
 
b a d c g e f h
9y+1/2,z,x
(
   0   1   0   1/2
   0   0   1    0
   1   0   0    0
)
 
b a d c f g e h
10y+1/2,x,z
(
   0   1   0   1/2
   1   0   0    0
   0   0   1    0
)
 
b a d c f e g h
11z+1/2,y,x
(
   0   0   1   1/2
   0   1   0    0
   1   0   0    0
)
 
b a d c g f e h
12x+1/2,z,y
(
   1   0   0   1/2
   0   0   1    0
   0   1   0    0
)
 
b a d c e g f h


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