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

Wyckoff Sets of Space Group C2221 (No. 20)

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 .2. (0, y, 1/4 ) b ab
a 4 2.. (x, 0, 0) a ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of C2221 (020) under the coset representatives of its affine normalizer


Index: 16

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
)
 
a b c
3x,y,z+1/2
(
   1   0   0    0
   0   1   0    0
   0   0   1   1/2
)
 
a b c
4x+1/2,y,z+1/2
(
   1   0   0   1/2
   0   1   0    0
   0   0   1   1/2
)
 
a b c
5-x,-y,-z
(
  -1   0   0    0
   0  -1   0    0
   0   0  -1    0
)
 
a b c
6-x+1/2,-y,-z
(
  -1   0   0   1/2
   0  -1   0    0
   0   0  -1    0
)
 
a b c
7-x,-y,-z+1/2
(
  -1   0   0    0
   0  -1   0    0
   0   0  -1   1/2
)
 
a b c
8-x+1/2,-y,-z+1/2
(
  -1   0   0   1/2
   0  -1   0    0
   0   0  -1   1/2
)
 
a b c
9y,x,z+1/4
(
   0   1   0    0
   1   0   0    0
   0   0   1   1/4
)
 
b a c
10y+1/2,x,z+1/4
(
   0   1   0   1/2
   1   0   0    0
   0   0   1   1/4
)
 
b a c
11y,x,z+3/4
(
   0   1   0    0
   1   0   0    0
   0   0   1   3/4
)
 
b a c
12y+1/2,x,z+3/4
(
   0   1   0   1/2
   1   0   0    0
   0   0   1   3/4
)
 
b a c
13-y,-x,-z+1/4
(
   0  -1   0    0
  -1   0   0    0
   0   0  -1   1/4
)
 
b a c
14-y+1/2,-x,-z+1/4
(
   0  -1   0   1/2
  -1   0   0    0
   0   0  -1   1/4
)
 
b a c
15-y,-x,-z+3/4
(
   0  -1   0    0
  -1   0   0    0
   0   0  -1   3/4
)
 
b a c
16-y+1/2,-x,-z+3/4
(
   0  -1   0   1/2
  -1   0   0    0
   0   0  -1   3/4
)
 
b a c


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