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Magnetic Point Group Tables of mmm1' (#8.2.25)


Useful data about magnetic point group mmm1'


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  
)
2x
3 -x,y,-z, +1
-mx,my,-mz
(
  -1  0  0  
  0  1  0  
  0  0  -1  
)
2y
4 -x,-y,z, +1
-mx,-my,mz
(
  -1  0  0  
  0  -1  0  
  0  0  1  
)
2z
5 -x,-y,-z, +1
mx, my, mz
(
  -1  0  0  
  0  -1  0  
  0  0  -1  
)
-1
6 -x,y,z, +1
mx, -my, -mz
(
  -1  0  0  
  0  1  0  
  0  0  1  
)
mx
7 x,-y,z, +1
-mx, my, -mz
(
  1  0  0  
  0  -1  0  
  0  0  1  
)
my
8 x,y,-z, +1
-mx, -my, mz
(
  1  0  0  
  0  1  0  
  0  0  -1  
)
mz
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  
)'
2x'
11 -x,y,-z, -1
mx, -my, mz
(
  -1  0  0  
  0  1  0  
  0  0  -1  
)'
2y'
12 -x,-y,z, -1
mx, my, -mz
(
  -1  0  0  
  0  -1  0  
  0  0  1  
)'
2z'
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  
)'
mx'
15 x,-y,z, -1
mx,-my,mz
(
  1  0  0  
  0  -1  0  
  0  0  1  
)'
my'
16 x,y,-z, -1
mx,my,-mz
(
  1  0  0  
  0  1  0  
  0  0  -1  
)'
mz'

Subgroups Table

Symmetry-adapted form of material tensors for the magnetic point group mmm1' (#8.2.25) via MTENSOR


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