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

Wyckoff Sets of Space Group Ibam (No. 72)

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
k 16 1 (x, y, z) k k
j 8 ..m (x, y, 0) j j
i 8 ..2 (0, 1/2 , z) hi hi
h 8 ..2 (0, 0, z) hi hi
g 8 .2. (0, y, 1/4 ) g fg
f 8 2.. (x, 0, 1/4 ) f fg
e 8 -1 (1/4 , 1/4 , 1/4 ) e e
d 4 ..2/m (1/2 , 0, 0) cd cd
c 4 ..2/m (0, 0, 0) cd cd
b 4 222 (1/2 , 0, 1/4 ) ab ab
a 4 222 (0, 0, 1/4 ) ab ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of Ibam (072) 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
2x+1/2,y,z
(
   1   0   0   1/2
   0   1   0    0
   0   0   1    0
)
 
b a d c e f g i h j k
3x,y+1/2,z
(
   1   0   0    0
   0   1   0   1/2
   0   0   1    0
)
 
b a d c e f g i h j k
4x+1/2,y+1/2,z
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1    0
)
 
a b c d e f g h i j k
5y,x,z
(
   0   1   0    0
   1   0   0    0
   0   0   1    0
)
 
a b c d e g f h i j k
6y+1/2,x,z
(
   0   1   0   1/2
   1   0   0    0
   0   0   1    0
)
 
b a d c e g f i h j k
7y,x+1/2,z
(
   0   1   0    0
   1   0   0   1/2
   0   0   1    0
)
 
b a d c e g f i h j k
8y+1/2,x+1/2,z
(
   0   1   0   1/2
   1   0   0   1/2
   0   0   1    0
)
 
a b c d e g f h i j k


Bilbao Crystallographic Server
http://www.cryst.ehu.es 		For comments, please mail to
administrador.bcs@ehu.eus