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Magnetic Point Group Tables of 4mm1' (#13.2.45)


Useful data about magnetic point group 4mm1'


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

Subgroups Table

Symmetry-adapted form of material tensors for the magnetic point group 4mm1' (#13.2.45) via MTENSOR


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