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

Wyckoff Sets of Space Group P6/mcc (No. 192)

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

Letter Mult SS Rep. Equivalent WP
m 24 1 (x, y, z) m
l 12 m.. (x, y, 0) l
k 12 ..2 (x, 2x, 1/4 ) k
j 12 .2. (x, 0, 1/4 ) j
i 12 2.. (1/2 , 0, z) i
h 8 3.. (1/3 , 2/3 , z) h
g 6 2/m.. (1/2 , 0, 0) g
f 6 222 (1/2 , 0, 1/4 ) f
e 4 6.. (0, 0, z) e
d 4 -6.. (1/3 , 2/3 , 0) d
c 4 3.2 (1/3 , 2/3 , 1/4 ) c
b 2 6/m.. (0, 0, 0) b
a 2 622 (0, 0, 1/4 ) a

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of P6/mcc (192) 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
2x,y,z+1/2
(
   1   0   0    0
   0   1   0    0
   0   0   1   1/2
)
t (0,0,1/2) 
a b c d e f g h i j k l m


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