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

Wyckoff Sets of Space Group I4/mmm (No. 139)

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

Letter Mult SS Rep. Equivalent WP
o 32 1 (x, y, z) o
n 16 .m. (0, y, z) n
m 16 ..m (x, x, z) m
l 16 m.. (x, y, 0) l
k 16 ..2 (x, x + 1/2 , 1/4 ) k
j 8 m2m . (x, 1/2 , 0) ij
i 8 m2m . (x, 0, 0) ij
h 8 m.2 m (x, x, 0) h
g 8 2mm . (0, 1/2 , z) g
f 8 ..2/m (1/4 , 1/4 , 1/4 ) f
e 4 4mm (0, 0, z) e
d 4 -4m2 (0, 1/2 , 1/4 ) d
c 4 mmm . (0, 1/2 , 0) c
b 2 4/mmm (0, 0, 1/2 ) ab
a 2 4/mmm (0, 0, 0) ab

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of I4/mmm (139) 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
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 c d e f g h j i k l m n o


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