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

Wyckoff Sets of Space Group Pn-3n (No. 222) [origin choice 2]

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

Letter Mult SS Rep. Equivalent WP
i 48 1 (x, y, z) i
h 24 ..2 (1/4 , y, y) h
g 24 2.. (x, 3/4 , 1/4 ) g
f 16 .3. (x, x, x) f
e 12 4.. (x, 1/4 , 1/4 ) e
d 12 -4.. (0, 3/4 , 1/4 ) d
c 8 .-3. (0, 0, 0) c
b 6 42. 2 (3/4 , 1/4 , 1/4 ) b
a 2 432 (1/4 , 1/4 , 1/4 ) a

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of Pn-3n (222) [origin choice 2] 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
2x+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


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