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

Wyckoff Sets of Space Group Imma (No. 74)

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
j 16 1 (x, y, z) j j
i 8 .m. (x, 1/4 , z) i hi
h 8 m.. (0, y, z) h hi
g 8 .2. (1/4 , y, 1/4 ) g fg
f 8 2.. (x, 0, 0) f fg
e 4 mm2 (0, 1/4 , z) e e
d 4 .2/m. (1/4 , 1/4 , 3/4 ) cd abcd
c 4 .2/m. (1/4 , 1/4 , 1/4 ) cd abcd
b 4 2/m.. (0, 0, 1/2 ) ab abcd
a 4 2/m.. (0, 0, 0) ab abcd

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of Imma (074) 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
2x+1/2,y,z
(
   1   0   0   1/2
   0   1   0    0
   0   0   1    0
)
 
b a c d e f g h i j
3x,y+1/2,z
(
   1   0   0    0
   0   1   0   1/2
   0   0   1    0
)
 
a b d c e f g h i j
4x+1/2,y+1/2,z
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1    0
)
 
b a d c e f g h i j
5y+1/4,x-1/4,z+1/4
(
   0   1   0   1/4
   1   0   0   -1/4
   0   0   1   1/4
)
 
c d b a e g f i h j
6y+3/4,x-1/4,z+1/4
(
   0   1   0   3/4
   1   0   0   -1/4
   0   0   1   1/4
)
 
d c b a e g f i h j
7y+1/4,x+1/4,z+1/4
(
   0   1   0   1/4
   1   0   0   1/4
   0   0   1   1/4
)
 
c d a b e g f i h j
8y+3/4,x+1/4,z+1/4
(
   0   1   0   3/4
   1   0   0   1/4
   0   0   1   1/4
)
 
d c a b e g f i h j


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