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

General Positions of the 3D Crystallographic Point Group T(23)


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-x,-y,z
(
 -1  0  0  
  0 -1  0  
  0  0  1  
)
2 0,0,z 2001
3-x,y,-z
(
 -1  0  0  
  0  1  0  
  0  0 -1  
)
2 0,y,0 2010
4x,-y,-z
(
  1  0  0  
  0 -1  0  
  0  0 -1  
)
2 x,0,0 2100
5z,x,y
(
  0  0  1  
  1  0  0  
  0  1  0  
)
3+ x,x,x 3+111
6z,-x,-y
(
  0  0  1  
 -1  0  0  
  0 -1  0  
)
3+ -x,x,-x 3+-11-1
7-z,-x,y
(
  0  0 -1  
 -1  0  0  
  0  1  0  
)
3+ x,-x,-x 3+1-1-1
8-z,x,-y
(
  0  0 -1  
  1  0  0  
  0 -1  0  
)
3+ -x,-x,x 3+-1-11
9y,z,x
(
  0  1  0  
  0  0  1  
  1  0  0  
)
3- x,x,x 3-111
10-y,z,-x
(
  0 -1  0  
  0  0  1  
 -1  0  0  
)
3- x,-x,-x 3-1-1-1
11y,-z,-x
(
  0  1  0  
  0  0 -1  
 -1  0  0  
)
3- -x,-x,x 3--1-11
12-y,-z,x
(
  0 -1  0  
  0  0 -1  
  1  0  0  
)
3- -x,x,-x 3--11-1



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