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

Wyckoff Sets of Space Group P6/mmm (No. 191)

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

Letter Mult SS Rep. Equivalent WP
r 24 1 (x, y, z) r
q 12 m.. (x, y, 1/2 ) pq
p 12 m.. (x, y, 0) pq
o 12 .m. (x, 2x, z) o
n 12 ..m (x, 0, z) n
m 6 mm2 (x, 2x, 1/2 ) lm
l 6 mm2 (x, 2x, 0) lm
k 6 m2m (x, 0, 1/2 ) jk
j 6 m2m (x, 0, 0) jk
i 6 2mm (1/2 , 0, z) i
h 4 3m. (1/3 , 2/3 , z) h
g 3 mmm (1/2 , 0, 1/2 ) fg
f 3 mmm (1/2 , 0, 0) fg
e 2 6mm (0, 0, z) e
d 2 -6m2 (1/3 , 2/3 , 1/2 ) cd
c 2 -6m2 (1/3 , 2/3 , 0) cd
b 1 6/mmm (0, 0, 1/2 ) ab
a 1 6/mmm (0, 0, 0) ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of P6/mmm (191) under the coset representatives of its affine normalizer


The affine normalizer coincides with the Euclidean one.

Index: 2

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 g h i j k l m n o p q r
2x,y,z+1/2
(
   1   0   0    0
   0   1   0    0
   0   0   1   1/2
)
t (0,0,1/2) 
b a d c e g f h i k j m l n o q p r


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