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General Positions of the 3D Crystallographic Point Group C6v(6mm)


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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-y,-x,z
(
  0 -1  0  
 -1  0  0  
  0  0  1  
)
m x,-x,z m110
8-x+y,y,z
(
 -1  1  0  
  0  1  0  
  0  0  1  
)
m 0,y,z m100
9x,x-y,z
(
  1  0  0  
  1 -1  0  
  0  0  1  
)
m x,0,z m010
10y,x,z
(
  0  1  0  
  1  0  0  
  0  0  1  
)
m x,x,z m1-10
11x-y,-y,z
(
  1 -1  0  
  0 -1  0  
  0  0  1  
)
m 2x,-x,z m120
12-x,-x+y,z
(
 -1  0  0  
 -1  1  0  
  0  0  1  
)
m x,-2x,z m210



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