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

Wyckoff Sets of Space Group P42/nnm (No. 134) [origin choice 2]

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

Letter Mult SS Rep. Equivalent WP
n 16 1 (x, y, z) n
m 8 ..m (x, - x, z) m
l 8 ..2 (x, x, 1/2 ) kl
k 8 ..2 (x, x, 0) kl
j 8 .2. (x, 1/4 , 1/4 ) ij
i 8 .2. (x, 1/4 , 3/4 ) ij
h 8 2.. (1/4 , 1/4 , z) h
g 4 2.m m (3/4 , 1/4 , z) g
f 4 ..2/m (0, 0, 0) ef
e 4 ..2/m (0, 0, 1/2 ) ef
d 4 2.2 2 (1/4 , 1/4 , 0) d
c 4 222 . (1/4 , 1/4 , 1/4 ) c
b 2 -42m (3/4 , 1/4 , 1/4 ) ab
a 2 -42m (1/4 , 3/4 , 1/4 ) ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of P42/nnm (134) [origin choice 2] under the coset representatives of its affine normalizer


The affine normalizer coincides with the Euclidean one.

Index: 4

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
2x+1/2,y+1/2,z
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1    0
)
t (1/2,1/2,0) 
b a c d e f g h j i k l m n
3x,y,z+1/2
(
   1   0   0    0
   0   1   0    0
   0   0   1   1/2
)
t (0,0,1/2) 
b a c d f e g h j i l k m n
4x+1/2,y+1/2,z+1/2
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1   1/2
)
t (1/2,1/2,1/2) 
a b c d f e g h i j l k m n


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