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Magnetic Point Group Tables of 6'mm' (#25.3.93)


Useful data about magnetic point group 6'mm'


Number of elements of the group (order): 12
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,y,z, +1
mx-my, -my, -mz
(
  -1  1  0  
  0  1  0  
  0  0  1
)
 mx
5 -y,-x,z, +1
my, mx, -mz
(
  0  -1  0  
  -1  0  0  
  0  0  1
)
 mxy
6 x,x-y,z, +1
-mx, -mx+my, -mz
(
  1  0  0  
  1  -1  0  
  0  0  1
)
 my
7 x-y,x,z, -1
-mx+my, -mx, -mz
(
  1  -1  0  
  1  0  0  
  0  0  1
)'
 6z'
8 -x,-y,z, -1
mx, my, -mz
(
  -1  0  0  
  0  -1  0  
  0  0  1
)'
 2z'
9 y,-x+y,z, -1
-my, mx-my, -mz
(
  0  1  0  
  -1  1  0  
  0  0  1
)'
 6z-1'
10 -x,-x+y,z, -1
-mx,-mx+my,mz
(
  -1  0  0  
  -1  1  0  
  0  0  1
)'
 m1'
11 x-y,-y,z, -1
mx-my,-my,mz
(
  1  -1  0  
  0  -1  0  
  0  0  1
)'
 m2'
12 y,x,z, -1
my,mx,mz
(
  0  1  0  
  1  0  0  
  0  0  1
)'
 m3'

Subgroups Table

Symmetry-adapted form of material tensors for the magnetic point group 6'mm' (#25.3.93) via MTENSOR


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