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General Positions of the 3D Crystallographic Point Group D3(312) [Hexagonal axes]


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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-y,-x,-z
(
  0 -1  0  
 -1  0  0  
  0  0 -1  
)
2 x,-x,0 21-10
5-x+y,y,-z
(
 -1  1  0  
  0  1  0  
  0  0 -1  
)
2 x,2x,0 2120
6x,x-y,-z
(
  1  0  0  
  1 -1  0  
  0  0 -1  
)
2 2x,x,0 2210

[321 hexagonal axes]
[32 rhombohedral axes]


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