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

Wyckoff Sets of Space Group P4/nnc (No. 126) [origin choice 2]

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

Letter Mult SS Rep. Equivalent WP
k 16 1 (x, y, z) k
j 8 .2. (x, 3/4 , 1/4 ) ij
i 8 .2. (x, 1/4 , 1/4 ) ij
h 8 ..2 (x, x, 1/4 ) h
g 8 2.. (1/4 , 3/4 , z) g
f 8 -1 (0, 0, 0) f
e 4 4.. (1/4 , 1/4 , z) e
d 4 -4.. (1/4 , 3/4 , 0) d
c 4 222 . (1/4 , 3/4 , 3/4 ) c
b 2 422 (1/4 , 1/4 , 3/4 ) ab
a 2 422 (1/4 , 1/4 , 1/4 ) ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of P4/nnc (126) [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
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
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 e f g h j i k
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 e f g h i j k


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