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

Wyckoff Sets of Space Group Pccm (No. 49)

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
r 8 1 (x, y, z) r r
q 4 ..m (x, y, 0) q q
p 4 ..2 (1/2 , 0, z) mnop mnop
o 4 ..2 (0, 1/2 , z) mnop mnop
n 4 ..2 (1/2 , 1/2 , z) mnop mnop
m 4 ..2 (0, 0, z) mnop mnop
l 4 .2. (1/2 , y, 1/4 ) ijkl ijkl
k 4 .2. (0, y, 1/4 ) ijkl ijkl
j 4 2.. (x, 1/2 , 1/4 ) ijkl ijkl
i 4 2.. (x, 0, 1/4 ) ijkl ijkl
h 2 222 (1/2 , 1/2 , 1/4 ) efgh efgh
g 2 222 (0, 1/2 , 1/4 ) efgh efgh
f 2 222 (1/2 , 0, 1/4 ) efgh efgh
e 2 222 (0, 0, 1/4 ) efgh efgh
d 2 ..2/m (1/2 , 0, 0) abcd abcd
c 2 ..2/m (0, 1/2 , 0) abcd abcd
b 2 ..2/m (1/2 , 1/2 , 0) abcd abcd
a 2 ..2/m (0, 0, 0) abcd abcd

[ Show Wyckoff Positions ]


Transformation of the Wyckoff Positions of Pccm (049) 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 n o p q r
2x+1/2,y,z
(
   1   0   0   1/2
   0   1   0    0
   0   0   1    0
)
 
d c b a f e h g i j l k p o n m q r
3x,y+1/2,z
(
   1   0   0    0
   0   1   0   1/2
   0   0   1    0
)
 
c d a b g h e f j i k l o p m n q r
4x,y,z+1/2
(
   1   0   0    0
   0   1   0    0
   0   0   1   1/2
)
 
a b c d e f g h i j k l m n o p q r
5x+1/2,y+1/2,z
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1    0
)
 
b a d c h g f e j i l k n m p o q r
6x+1/2,y,z+1/2
(
   1   0   0   1/2
   0   1   0    0
   0   0   1   1/2
)
 
d c b a f e h g i j l k p o n m q r
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 g h e f j i k l o p m n q r
8x+1/2,y+1/2,z+1/2
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1   1/2
)
 
b a d c h g f e j i l k n m p o q r
9y,x,z
(
   0   1   0    0
   1   0   0    0
   0   0   1    0
)
 
a b d c e g f h k l i j m n p o q r
10y+1/2,x,z
(
   0   1   0   1/2
   1   0   0    0
   0   0   1    0
)
 
c d b a g e h f k l j i o p n m q r
11y,x+1/2,z
(
   0   1   0    0
   1   0   0   1/2
   0   0   1    0
)
 
d c a b f h e g l k i j p o m n q r
12y,x,z+1/2
(
   0   1   0    0
   1   0   0    0
   0   0   1   1/2
)
 
a b d c e g f h k l i j m n p o q r
13y+1/2,x+1/2,z
(
   0   1   0   1/2
   1   0   0   1/2
   0   0   1    0
)
 
b a c d h f g e l k j i n m o p q r
14y+1/2,x,z+1/2
(
   0   1   0   1/2
   1   0   0    0
   0   0   1   1/2
)
 
c d b a g e h f k l j i o p n m q r
15y,x+1/2,z+1/2
(
   0   1   0    0
   1   0   0   1/2
   0   0   1   1/2
)
 
d c a b f h e g l k i j p o m n q r
16y+1/2,x+1/2,z+1/2
(
   0   1   0   1/2
   1   0   0   1/2
   0   0   1   1/2
)
 
b a c d h f g e l k j i n m o p q r


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