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

Wyckoff Sets of Space Group Fmm2 (No. 42)

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
e 16 1 (x, y, z) e e
d 8 .m. (x, 0, z) cd cd
c 8 m.. (0, y, z) cd cd
b 8 ..2 (1/4 , 1/4 , z) b b
a 4 mm2 (0, 0, z) a a

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of Fmm2 (042) 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 e
2-x,-y,-z
(
  -1   0   0    0
   0  -1   0    0
   0   0  -1    0
)
 
a b c d e
3y,x,z
(
   0   1   0    0
   1   0   0    0
   0   0   1    0
)
 
a b d c e
4-y,-x,-z
(
   0  -1   0    0
  -1   0   0    0
   0   0  -1    0
)
 
a b d c e




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 e


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