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Magnetic Point Group Tables of 4/m'mm (#15.3.55)


Useful data about magnetic point group 4/m'mm


Number of elements of the group (order): 16
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 -x,-y,z, +1
-mx,-my,mz
(
  -1  0  0  
  0  -1  0  
  0  0  1  
)
2z
3 -y,x,z, +1
-my,mx,mz
(
  0  -1  0  
  1  0  0  
  0  0  1  
)
4z
4 y,-x,z, +1
my,-mx,mz
(
  0  1  0  
  -1  0  0  
  0  0  1  
)
4z-1
5 -x,y,z, +1
mx, -my, -mz
(
  -1  0  0  
  0  1  0  
  0  0  1  
)
mx
6 x,-y,z, +1
-mx, my, -mz
(
  1  0  0  
  0  -1  0  
  0  0  1  
)
my
7 y,x,z, +1
-my, -mx, -mz
(
  0  1  0  
  1  0  0  
  0  0  1  
)
m-xy
8 -y,-x,z, +1
my, mx, -mz
(
  0  -1  0  
  -1  0  0  
  0  0  1  
)
mxy
9 x,-y,-z, -1
-mx, my, mz
(
  1  0  0  
  0  -1  0  
  0  0  -1  
)'
2x'
10 -x,y,-z, -1
mx, -my, mz
(
  -1  0  0  
  0  1  0  
  0  0  -1  
)'
2y'
11 -y,-x,-z, -1
my, mx, mz
(
  0  -1  0  
  -1  0  0  
  0  0  -1  
)'
2-xy'
12 y,x,-z, -1
-my, -mx, mz
(
  0  1  0  
  1  0  0  
  0  0  -1  
)'
2xy'
13 -x,-y,-z, -1
-mx,-my,-mz
(
  -1  0  0  
  0  -1  0  
  0  0  -1  
)'
-1'
14 x,y,-z, -1
mx,my,-mz
(
  1  0  0  
  0  1  0  
  0  0  -1  
)'
mz'
15 y,-x,-z, -1
my,-mx,-mz
(
  0  1  0  
  -1  0  0  
  0  0  -1  
)'
-4z'
16 -y,x,-z, -1
-my,mx,-mz
(
  0  -1  0  
  1  0  0  
  0  0  -1  
)'
-4z-1'

Subgroups Table

Symmetry-adapted form of material tensors for the magnetic point group 4/m'mm (#15.3.55) via MTENSOR


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