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Magnetic Point Group Tables of 31' (#16.2.61)


Useful data about magnetic point group 31'


Number of elements of the group (order): 6
This group is not centrosymmetric
This group is polar
This group is not compatible with ferromagnetism


Symmetry operations of the group


N (x,y,z) form matrix form Seitz symbol
1 x,y,z, +1
mx,my,mz
(
  1  0  0  
  0  1  0  
  0  0  1  
)
1
2 -y,x-y,z, +1
-my,mx-my,mz
(
  0  -1  0  
  1  -1  0  
  0  0  1  
)
3z
3 -x+y,-x,z, +1
-mx+my,-mx,mz
(
  -1  1  0  
  -1  0  0  
  0  0  1  
)
3z-1
4 x,y,z, -1
-mx, -my, -mz
(
  1  0  0  
  0  1  0  
  0  0  1  
)'
1'
5 -y,x-y,z, -1
my, -mx+my, -mz
(
  0  -1  0  
  1  -1  0  
  0  0  1  
)'
3z'
6 -x+y,-x,z, -1
mx-my, mx, -mz
(
  -1  1  0  
  -1  0  0  
  0  0  1  
)'
3z-1'

Subgroups Table

Symmetry-adapted form of material tensors for the magnetic point group 31' (#16.2.61) via MTENSOR


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