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Magnetic Point Group Tables of -3m' (#20.5.75)


Useful data about magnetic point group -3m'


Number of elements of the group (order): 12
This group is centrosymmetric
This group is not polar
This group is 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
7 x-y,-y,-z, -1
-mx+my, my, mz
(
  1  -1  0  
  0  -1  0  
  0  0  -1
)'
 2x'
8 y,x,-z, -1
-my, -mx, mz
(
  0  1  0  
  1  0  0  
  0  0  -1
)'
 2xy'
9 -x,-x+y,-z, -1
mx, mx-my, mz
(
  -1  0  0  
  -1  1  0  
  0  0  -1
)'
 2y'
10 -x+y,y,z, -1
-mx+my,my,mz
(
  -1  1  0  
  0  1  0  
  0  0  1
)'
 mx'
11 -y,-x,z, -1
-my,-mx,mz
(
  0  -1  0  
  -1  0  0  
  0  0  1
)'
 mxy'
12 x,x-y,z, -1
mx,mx-my,mz
(
  1  0  0  
  1  -1  0  
  0  0  1
)'
 my'

Subgroups Table

Symmetry-adapted form of material tensors for the magnetic point group -3m' (#20.5.75) via MTENSOR


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