Bilbao Crystallographic Server arrow MPOINT - Magnetic Point Group Tables


Magnetic Point Group Tables of -31' (#17.2.63)


Useful data about magnetic point group -31'


Number of elements of the group (order): 12
This group is centrosymmetric
This group is not 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
7 x,y,z, -1
-mx, -my, -mz
(
  1  0  0  
  0  1  0  
  0  0  1  
)'
1'
8 -y,x-y,z, -1
my, -mx+my, -mz
(
  0  -1  0  
  1  -1  0  
  0  0  1  
)'
3z'
9 -x+y,-x,z, -1
mx-my, mx, -mz
(
  -1  1  0  
  -1  0  0  
  0  0  1  
)'
3z-1'
10 -x,-y,-z, -1
-mx,-my,-mz
(
  -1  0  0  
  0  -1  0  
  0  0  -1  
)'
-1'
11 y,-x+y,-z, -1
my,-mx+my,-mz
(
  0  1  0  
  -1  1  0  
  0  0  -1  
)'
-3z'
12 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' (#17.2.63) via MTENSOR


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