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

Wyckoff Sets of Space Group Cmme (No. 67)

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
o 16 1 (x, y, z) o o
n 8 .m. (x, 1/4 , z) n mn
m 8 m.. (0, y, z) m mn
l 8 ..2 (1/4 , 0, z) l l
k 8 .2. (1/4 , y, 1/2 ) jk hijk
j 8 .2. (1/4 , y, 0) jk hijk
i 8 2.. (x, 0, 1/2 ) hi hijk
h 8 2.. (x, 0, 0) hi hijk
g 4 mm2 (0, 1/4 , z) g g
f 4 .2/m. (1/4 , 1/4 , 1/2 ) ef cdef
e 4 .2/m. (1/4 , 1/4 , 0) ef cdef
d 4 2/m.. (0, 0, 1/2 ) cd cdef
c 4 2/m.. (0, 0, 0) cd cdef
b 4 222 (1/4 , 0, 1/2 ) ab ab
a 4 222 (1/4 , 0, 0) ab ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of Cmme (067) 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 m n o
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 m n o
3x,y,z+1/2
(
   1   0   0    0
   0   1   0    0
   0   0   1   1/2
)
 
b a d c f e g i h k j l m n o
4x+1/2,y,z+1/2
(
   1   0   0   1/2
   0   1   0    0
   0   0   1   1/2
)
 
b a d c f e g i h k j l m n o
5y+1/4,x-1/4,z
(
   0   1   0   1/4
   1   0   0   -1/4
   0   0   1    0
)
 
a b e f c d g j k h i l n m o
6y+3/4,x-1/4,z
(
   0   1   0   3/4
   1   0   0   -1/4
   0   0   1    0
)
 
a b e f c d g j k h i l n m o
7y+1/4,x-1/4,z+1/2
(
   0   1   0   1/4
   1   0   0   -1/4
   0   0   1   1/2
)
 
b a f e d c g k j i h l n m o
8y+3/4,x-1/4,z+1/2
(
   0   1   0   3/4
   1   0   0   -1/4
   0   0   1   1/2
)
 
b a f e d c g k j i h l n m o


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