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

P63221' [#182.180] (Type: 2 -- Type II (grey group))

[OG: P63221' #182.2.1411]

Operators of Group 182.180 (P63221')

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.-x,-y,z+1/2
0,0,0
( 
 -1   0   0     0
  0  -1   0     0
  0   0   1   1/2
 )
2 (0,0,1/2) 0,0,z +1 {2z|0,0,1/2}
5.y,-x+y,z+1/2
0,0,0
( 
  0   1   0     0
 -1   1   0     0
  0   0   1   1/2
 )
6- (0,0,1/2) 0,0,z +1 {6z-1|0,0,1/2}
6.x-y,x,z+1/2
0,0,0
( 
  1  -1   0     0
  1   0   0     0
  0   0   1   1/2
 )
6+ (0,0,1/2) 0,0,z +1 {6z|0,0,1/2}
7.y,x,-z
0,0,0
( 
  0   1   0     0
  1   0   0     0
  0   0  -1     0
 )
2 x,x,0 +1 {2xy|0,0,0}
8.x-y,-y,-z
0,0,0
( 
  1  -1   0     0
  0  -1   0     0
  0   0  -1     0
 )
2 x,0,0 +1 {2x|0,0,0}
9.-x,-x+y,-z
0,0,0
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1     0
 )
2 0,y,0 +1 {2y|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
 )
2 x,-x,1/4 +1 {23|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
 )
2 x,2x,1/4 +1 {22|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
 )
2 2x,x,1/4 +1 {21|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.-x,-y,z+1/2
0,0,0
( 
 -1   0   0     0
  0  -1   0     0
  0   0   1   1/2
 ) '
2 (0,0,1/2) 0,0,z -1 {2z|0,0,1/2}'
17.y,-x+y,z+1/2
0,0,0
( 
  0   1   0     0
 -1   1   0     0
  0   0   1   1/2
 ) '
6- (0,0,1/2) 0,0,z -1 {6z-1|0,0,1/2}'
18.x-y,x,z+1/2
0,0,0
( 
  1  -1   0     0
  1   0   0     0
  0   0   1   1/2
 ) '
6+ (0,0,1/2) 0,0,z -1 {6z|0,0,1/2}'
19.y,x,-z
0,0,0
( 
  0   1   0     0
  1   0   0     0
  0   0  -1     0
 ) '
2 x,x,0 -1 {2xy|0,0,0}'
20.x-y,-y,-z
0,0,0
( 
  1  -1   0     0
  0  -1   0     0
  0   0  -1     0
 ) '
2 x,0,0 -1 {2x|0,0,0}'
21.-x,-x+y,-z
0,0,0
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1     0
 ) '
2 0,y,0 -1 {2y|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
 ) '
2 x,-x,1/4 -1 {23|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
 ) '
2 x,2x,1/4 -1 {22|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
 ) '
2 2x,x,1/4 -1 {21|0,0,1/2}'


Go to the Wyckoff Positions of 182.180 (P63221')
Go to the extinction rules of 182.180 (P63221')


Back to the list of magnetic space groups derived from P6322
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