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

Wyckoff Sets of Space Group Pban (No. 50) [origin choice 2]

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

Letter Mult SS Rep. Equivalent WP under
Euclidean normalizer		 Equivalent WP under
affine normalizer
m 8 1 (x, y, z) m m
l 4 ..2 (1/4 , 3/4 , z) ijkl kl
k 4 ..2 (1/4 , 1/4 , z) ijkl kl
j 4 .2. (1/4 , y, 1/2 ) ijkl ghij
i 4 .2. (1/4 , y, 0) ijkl ghij
h 4 2.. (x, 1/4 , 1/2 ) gh ghij
g 4 2.. (x, 1/4 , 0) gh ghij
f 4 -1 (0, 0, 1/2 ) ef ef
e 4 -1 (0, 0, 0) ef ef
d 2 222 (1/4 , 1/4 , 1/2 ) abcd abcd
c 2 222 (3/4 , 1/4 , 1/2 ) abcd abcd
b 2 222 (3/4 , 1/4 , 0) abcd abcd
a 2 222 (1/4 , 1/4 , 0) abcd abcd

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of Pban (050) [origin choice 2] under the coset representatives of its affine normalizer


Index: 16

No. # Coset Representative Transformed WP
1x,y,z
(
   1   0   0    0
   0   1   0    0
   0   0   1    0
)
 
a b c d e f g h i j k l m
2x+1/2,y,z
(
   1   0   0   1/2
   0   1   0    0
   0   0   1    0
)
 
b a d c e f g h i j l k m
3x,y+1/2,z
(
   1   0   0    0
   0   1   0   1/2
   0   0   1    0
)
 
b a d c e f g h i j l k m
4x,y,z+1/2
(
   1   0   0    0
   0   1   0    0
   0   0   1   1/2
)
 
d c b a f e h g j i k l m
5x+1/2,y+1/2,z
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1    0
)
 
a b c d e f g h i j k l m
6x+1/2,y,z+1/2
(
   1   0   0   1/2
   0   1   0    0
   0   0   1   1/2
)
 
c d a b f e h g j i l k m
7x,y+1/2,z+1/2
(
   1   0   0    0
   0   1   0   1/2
   0   0   1   1/2
)
 
c d a b f e h g j i l k m
8x+1/2,y+1/2,z+1/2
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1   1/2
)
 
d c b a f e h g j i k l m
9y,x,z
(
   0   1   0    0
   1   0   0    0
   0   0   1    0
)
 
a b c d e f i j g h k l m
10y+1/2,x,z
(
   0   1   0   1/2
   1   0   0    0
   0   0   1    0
)
 
b a d c e f i j g h l k m
11y,x+1/2,z
(
   0   1   0    0
   1   0   0   1/2
   0   0   1    0
)
 
b a d c e f i j g h l k m
12y,x,z+1/2
(
   0   1   0    0
   1   0   0    0
   0   0   1   1/2
)
 
d c b a f e j i h g k l m
13y+1/2,x+1/2,z
(
   0   1   0   1/2
   1   0   0   1/2
   0   0   1    0
)
 
a b c d e f i j g h k l m
14y+1/2,x,z+1/2
(
   0   1   0   1/2
   1   0   0    0
   0   0   1   1/2
)
 
c d a b f e j i h g l k m
15y,x+1/2,z+1/2
(
   0   1   0    0
   1   0   0   1/2
   0   0   1   1/2
)
 
c d a b f e j i h g l k m
16y+1/2,x+1/2,z+1/2
(
   0   1   0   1/2
   1   0   0   1/2
   0   0   1   1/2
)
 
d c b a f e j i h g k l m


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