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

Wyckoff Sets of Space Group P21/m (No. 11) [unique axis b]

NOTE: The program uses the default choice for the group settings.

Letter Mult SS Rep. Equivalent WP
f 4 1 (x, y, z) f
e 2 m (x, 1/4 , z) e
d 2 -1 (1/2 , 0, 1/2 ) abcd
c 2 -1 (0, 0, 1/2 ) abcd
b 2 -1 (1/2 , 0, 0) abcd
a 2 -1 (0, 0, 0) abcd

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of P21/m (011) [unique axis b] under the coset representatives of its Euclidean normalizer


Index: 8

No. # Coset RepresentativeGeometrical Interpretation Transformed WP
1x,y,z
(
   1   0   0    0
   0   1   0    0
   0   0   1    0
)
1 
a b c d e f
2x+1/2,y,z
(
   1   0   0   1/2
   0   1   0    0
   0   0   1    0
)
t (1/2,0,0) 
b a d c e f
3x,y+1/2,z
(
   1   0   0    0
   0   1   0   1/2
   0   0   1    0
)
t (0,1/2,0) 
a b c d e f
4x,y,z+1/2
(
   1   0   0    0
   0   1   0    0
   0   0   1   1/2
)
t (0,0,1/2) 
c d a b e f
5x+1/2,y+1/2,z
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1    0
)
t (1/2,1/2,0) 
b a d c e f
6x+1/2,y,z+1/2
(
   1   0   0   1/2
   0   1   0    0
   0   0   1   1/2
)
t (1/2,0,1/2) 
d c b a e f
7x,y+1/2,z+1/2
(
   1   0   0    0
   0   1   0   1/2
   0   0   1   1/2
)
t (0,1/2,1/2) 
c d a b e f
8x+1/2,y+1/2,z+1/2
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1   1/2
)
t (1/2,1/2,1/2) 
d c b a e f


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