Bilbao Crystallographic Server arrow General Positions of three-dimensional crystallographic point groups Help

General Positions of the 3D Crystallographic Point Group C6h(6/m)


Show the generators

Click here to get more detailed information about this point group

No. (x,y,z) form Matrix form Symmetry operation
ITA Seitz
1x,y,z
(
  1  0  0  
  0  1  0  
  0  0  1  
)
1 1
2-y,x-y,z
(
  0 -1  0  
  1 -1  0  
  0  0  1  
)
3+ 0,0,z 3+001
3-x+y,-x,z
(
 -1  1  0  
 -1  0  0  
  0  0  1  
)
3- 0,0,z 3-001
4-x,-y,z
(
 -1  0  0  
  0 -1  0  
  0  0  1  
)
2 0,0,z 2001
5y,-x+y,z
(
  0  1  0  
 -1  1  0  
  0  0  1  
)
6- 0,0,z 6-001
6x-y,x,z
(
  1 -1  0  
  1  0  0  
  0  0  1  
)
6+ 0,0,z 6+001
7-x,-y,-z
(
 -1  0  0  
  0 -1  0  
  0  0 -1  
)
-1 0,0,0 -1
8y,-x+y,-z
(
  0  1  0  
 -1  1  0  
  0  0 -1  
)
-3+ 0,0,z; 0,0,0 -3+001
9x-y,x,-z
(
  1 -1  0  
  1  0  0  
  0  0 -1  
)
-3- 0,0,z; 0,0,0 -3-001
10x,y,-z
(
  1  0  0  
  0  1  0  
  0  0 -1  
)
m x,y,0 m001
11-y,x-y,-z
(
  0 -1  0  
  1 -1  0  
  0  0 -1  
)
-6- 0,0,z; 0,0,0 -6-001
12-x+y,-x,-z
(
 -1  1  0  
 -1  0  0  
  0  0 -1  
)
-6+ 0,0,z; 0,0,0 -6+001



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