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

Generators of the 3D Crystallographic Point Group D3d(-31m) [Hexagonal axes]


Show the general positions

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No. (x,y,z) form Matrix form Symmetry operation
ITA Seitz
1-y,x-y,z
(
  0 -1  0  
  1 -1  0  
  0  0  1  
)
3+ 0,0,z 3+001
2-y,-x,-z
(
  0 -1  0  
 -1  0  0  
  0  0 -1  
)
2 x,-x,0 21-10
3-x,-y,-z
(
 -1  0  0  
  0 -1  0  
  0  0 -1  
)
-1 0,0,0 -1

[-3m1 hexagonal axes]
[-3m rhombohedral axes]


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