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

Wyckoff Sets of Space Group Aem2 (No. 39)

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

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of Aem2 (039) 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
2x+1/2,y,z
(
   1   0   0   1/2
   0   1   0    0
   0   0   1    0
)
 
b a c d
3-x,-y,-z
(
  -1   0   0    0
   0  -1   0    0
   0   0  -1    0
)
 
a b c d
4-x+1/2,-y,-z
(
  -1   0   0   1/2
   0  -1   0    0
   0   0  -1    0
)
 
b a c d




Additional traslations generators


No. # Continuous Translations Transformed WP
1 x,y,z+t
(
   1   0   0    0
   0   1   0    0
   0   0   1    t
)
 
a b c d


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