Bilbao Crystallographic Server arrow MPOINT - Magnetic Point Group Tables


Magnetic Point Group Tables of -61' (#22.2.80)


Useful data about magnetic point group -61'


Number of elements of the group (order): 12
This group is not 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,-x,-z, +1
mx-my, mx, mz
(
  -1  1  0  
  -1  0  0  
  0  0  -1  
)
-6z
5 x,y,-z, +1
-mx, -my, mz
(
  1  0  0  
  0  1  0  
  0  0  -1  
)
mz
6 -y,x-y,-z, +1
my, -mx+my, mz
(
  0  -1  0  
  1  -1  0  
  0  0  -1  
)
-6z-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,-x,-z, -1
-mx+my,-mx,-mz
(
  -1  1  0  
  -1  0  0  
  0  0  -1  
)'
-6z'
11 x,y,-z, -1
mx,my,-mz
(
  1  0  0  
  0  1  0  
  0  0  -1  
)'
mz'
12 -y,x-y,-z, -1
-my,mx-my,-mz
(
  0  -1  0  
  1  -1  0  
  0  0  -1  
)'
-6z-1'

Subgroups Table

Symmetry-adapted form of material tensors for the magnetic point group -61' (#22.2.80) via MTENSOR


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