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

Wyckoff Sets of Space Group Pmma (No. 51)

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
l 8 1 (x, y, z) l l
k 4 m.. (1/4 , y, z) k k
j 4 .m. (x, 1/2 , z) ij ij
i 4 .m. (x, 0, z) ij ij
h 4 .2. (0, y, 1/2 ) gh gh
g 4 .2. (0, y, 0) gh gh
f 2 mm2 (1/4 , 1/2 , z) ef ef
e 2 mm2 (1/4 , 0, z) ef ef
d 2 .2/m. (0, 1/2 , 1/2 ) abcd abcd
c 2 .2/m. (0, 0, 1/2 ) abcd abcd
b 2 .2/m. (0, 1/2 , 0) abcd abcd
a 2 .2/m. (0, 0, 0) abcd abcd

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of Pmma (051) under the coset representatives of its affine normalizer


Index: 8

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 f g h i j k l
2x+1/2,y,z
(
   1   0   0   1/2
   0   1   0    0
   0   0   1    0
)
 
a b c d e f g h i j k l
3x,y+1/2,z
(
   1   0   0    0
   0   1   0   1/2
   0   0   1    0
)
 
b a d c f e g h j i k l
4x,y,z+1/2
(
   1   0   0    0
   0   1   0    0
   0   0   1   1/2
)
 
c d a b e f h g i j k l
5x+1/2,y+1/2,z
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1    0
)
 
b a d c f e g h j i k l
6x+1/2,y,z+1/2
(
   1   0   0   1/2
   0   1   0    0
   0   0   1   1/2
)
 
c d a b e f h g i j k l
7x,y+1/2,z+1/2
(
   1   0   0    0
   0   1   0   1/2
   0   0   1   1/2
)
 
d c b a f e h g j i k l
8x+1/2,y+1/2,z+1/2
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1   1/2
)
 
d c b a f e h g j i k l


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