Bilbao Crystallographic Server arrow MGENPOS arrow Table of Magnetic Space Group Symbols Help

P-31c1' [#163.80] (Type: 2 -- Type II (grey group))

[OG: P-31c1' #163.2.1311]

Operators of Group 163.80 (P-31c1')

1.x,y,z
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 )
1 +1 {1|0,0,0}
2.-y,x-y,z
0,0,0
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1     0
 )
3+ 0,0,z +1 {3z|0,0,0}
3.-x+y,-x,z
0,0,0
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1     0
 )
3- 0,0,z +1 {3z-1|0,0,0}
4.-y,-x,-z+1/2
0,0,0
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1   1/2
 )
2 x,-x,1/4 +1 {23|0,0,1/2}
5.-x+y,y,-z+1/2
0,0,0
( 
 -1   1   0     0
  0   1   0     0
  0   0  -1   1/2
 )
2 x,2x,1/4 +1 {22|0,0,1/2}
6.x,x-y,-z+1/2
0,0,0
( 
  1   0   0     0
  1  -1   0     0
  0   0  -1   1/2
 )
2 2x,x,1/4 +1 {21|0,0,1/2}
7.-x,-y,-z
0,0,0
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
 )
-1 0,0,0 +1 {-1|0,0,0}
8.y,-x+y,-z
0,0,0
( 
  0   1   0     0
 -1   1   0     0
  0   0  -1     0
 )
-3+ 0,0,z 0,0,0 +1 {-3z|0,0,0}
9.x-y,x,-z
0,0,0
( 
  1  -1   0     0
  1   0   0     0
  0   0  -1     0
 )
-3- 0,0,z 0,0,0 +1 {-3z-1|0,0,0}
10.y,x,z+1/2
0,0,0
( 
  0   1   0     0
  1   0   0     0
  0   0   1   1/2
 )
c x,x,z +1 {m3|0,0,1/2}
11.x-y,-y,z+1/2
0,0,0
( 
  1  -1   0     0
  0  -1   0     0
  0   0   1   1/2
 )
c x,0,z +1 {m2|0,0,1/2}
12.-x,-x+y,z+1/2
0,0,0
( 
 -1   0   0     0
 -1   1   0     0
  0   0   1   1/2
 )
c 0,y,z +1 {m1|0,0,1/2}
13.x,y,z
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 ) '
1 -1 {1|0,0,0}'
14.-y,x-y,z
0,0,0
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1     0
 ) '
3+ 0,0,z -1 {3z|0,0,0}'
15.-x+y,-x,z
0,0,0
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1     0
 ) '
3- 0,0,z -1 {3z-1|0,0,0}'
16.-y,-x,-z+1/2
0,0,0
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1   1/2
 ) '
2 x,-x,1/4 -1 {23|0,0,1/2}'
17.-x+y,y,-z+1/2
0,0,0
( 
 -1   1   0     0
  0   1   0     0
  0   0  -1   1/2
 ) '
2 x,2x,1/4 -1 {22|0,0,1/2}'
18.x,x-y,-z+1/2
0,0,0
( 
  1   0   0     0
  1  -1   0     0
  0   0  -1   1/2
 ) '
2 2x,x,1/4 -1 {21|0,0,1/2}'
19.-x,-y,-z
0,0,0
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
 ) '
-1 0,0,0 -1 {-1|0,0,0}'
20.y,-x+y,-z
0,0,0
( 
  0   1   0     0
 -1   1   0     0
  0   0  -1     0
 ) '
-3+ 0,0,z 0,0,0 -1 {-3z|0,0,0}'
21.x-y,x,-z
0,0,0
( 
  1  -1   0     0
  1   0   0     0
  0   0  -1     0
 ) '
-3- 0,0,z 0,0,0 -1 {-3z-1|0,0,0}'
22.y,x,z+1/2
0,0,0
( 
  0   1   0     0
  1   0   0     0
  0   0   1   1/2
 ) '
c x,x,z -1 {m3|0,0,1/2}'
23.x-y,-y,z+1/2
0,0,0
( 
  1  -1   0     0
  0  -1   0     0
  0   0   1   1/2
 ) '
c x,0,z -1 {m2|0,0,1/2}'
24.-x,-x+y,z+1/2
0,0,0
( 
 -1   0   0     0
 -1   1   0     0
  0   0   1   1/2
 ) '
c 0,y,z -1 {m1|0,0,1/2}'


Go to the Wyckoff Positions of 163.80 (P-31c1')
Go to the extinction rules of 163.80 (P-31c1')


Back to the list of magnetic space groups derived from P-31c
Back to the list of Magnetic Space Groups

Bilbao Crystallographic Server
http://www.cryst.ehu.es 		For comments, please mail to
administrador.bcs@ehu.es