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

Wyckoff Sets of Space Group P42/ncm (No. 138) [origin choice 2]

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

Letter Mult SS Rep. Equivalent WP
j 16 1 (x, y, z) j
i 8 ..m (x, x, z) i
h 8 ..2 (x, - x, 0) gh
g 8 ..2 (x, - x, 1/2 ) gh
f 8 2.. (3/4 , 1/4 , z) f
e 4 2.m m (1/4 , 1/4 , z) e
d 4 ..2/m (0, 0, 0) cd
c 4 ..2/m (0, 0, 1/2 ) cd
b 4 -4.. (3/4 , 1/4 , 3/4 ) b
a 4 2.2 2 (3/4 , 1/4 , 0) a

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of P42/ncm (138) [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
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) 
a b c d e f g h i j
3x,y,z+1/2
(
   1   0   0    0
   0   1   0    0
   0   0   1   1/2
)
t (0,0,1/2) 
a b d c e f h g i j
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 d c e f h g i j


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