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

Wyckoff Sets of Space Group Pbca (No. 61)

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
c 8 1 (x, y, z) c c
b 4 -1 (0, 0, 1/2 ) ab ab
a 4 -1 (0, 0, 0) ab ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of Pbca (061) under the coset representatives of its affine normalizer


Index: 24

No. # Coset Representative Transformed WP
1x,y,z
(
   1   0   0    0
   0   1   0    0
   0   0   1    0
)
 
a b c
2x+1/2,y,z
(
   1   0   0   1/2
   0   1   0    0
   0   0   1    0
)
 
b a c
3x,y+1/2,z
(
   1   0   0    0
   0   1   0   1/2
   0   0   1    0
)
 
b a c
4x,y,z+1/2
(
   1   0   0    0
   0   1   0    0
   0   0   1   1/2
)
 
b a c
5x+1/2,y+1/2,z
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1    0
)
 
a b c
6x+1/2,y,z+1/2
(
   1   0   0   1/2
   0   1   0    0
   0   0   1   1/2
)
 
a b c
7x,y+1/2,z+1/2
(
   1   0   0    0
   0   1   0   1/2
   0   0   1   1/2
)
 
a b c
8x+1/2,y+1/2,z+1/2
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1   1/2
)
 
b a c
9z,x,y
(
   0   0   1    0
   1   0   0    0
   0   1   0    0
)
 
a b c
10z+1/2,x,y
(
   0   0   1   1/2
   1   0   0    0
   0   1   0    0
)
 
b a c
11z,x+1/2,y
(
   0   0   1    0
   1   0   0   1/2
   0   1   0    0
)
 
b a c
12z,x,y+1/2
(
   0   0   1    0
   1   0   0    0
   0   1   0   1/2
)
 
b a c
13z+1/2,x+1/2,y
(
   0   0   1   1/2
   1   0   0   1/2
   0   1   0    0
)
 
a b c
14z+1/2,x,y+1/2
(
   0   0   1   1/2
   1   0   0    0
   0   1   0   1/2
)
 
a b c
15z,x+1/2,y+1/2
(
   0   0   1    0
   1   0   0   1/2
   0   1   0   1/2
)
 
a b c
16z+1/2,x+1/2,y+1/2
(
   0   0   1   1/2
   1   0   0   1/2
   0   1   0   1/2
)
 
b a c
17y,z,x
(
   0   1   0    0
   0   0   1    0
   1   0   0    0
)
 
a b c
18y+1/2,z,x
(
   0   1   0   1/2
   0   0   1    0
   1   0   0    0
)
 
b a c
19y,z+1/2,x
(
   0   1   0    0
   0   0   1   1/2
   1   0   0    0
)
 
b a c
20y,z,x+1/2
(
   0   1   0    0
   0   0   1    0
   1   0   0   1/2
)
 
b a c
21y+1/2,z+1/2,x
(
   0   1   0   1/2
   0   0   1   1/2
   1   0   0    0
)
 
a b c
22y+1/2,z,x+1/2
(
   0   1   0   1/2
   0   0   1    0
   1   0   0   1/2
)
 
a b c
23y,z+1/2,x+1/2
(
   0   1   0    0
   0   0   1   1/2
   1   0   0   1/2
)
 
a b c
24y+1/2,z+1/2,x+1/2
(
   0   1   0   1/2
   0   0   1   1/2
   1   0   0   1/2
)
 
b a c


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