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Magnetic Point Group Tables of 231' (#28.2.108)


Useful data about magnetic point group 231'


Number of elements of the group (order): 24
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 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 y,z,x, +1
my,mz,mx
(
  0  1  0  
  0  0  1  
  1  0  0  
)
3xyz-1
6 y,-z,-x, +1
my,-mz,-mx
(
  0  1  0  
  0  0  -1  
  -1  0  0  
)
3xy-z
7 -y,z,-x, +1
-my,mz,-mx
(
  0  -1  0  
  0  0  1  
  -1  0  0  
)
3-xyz
8 -y,-z,x, +1
-my,-mz,mx
(
  0  -1  0  
  0  0  -1  
  1  0  0  
)
3x-yz
9 z,x,y, +1
mz,mx,my
(
  0  0  1  
  1  0  0  
  0  1  0  
)
3xyz
10 z,-x,-y, +1
mz,-mx,-my
(
  0  0  1  
  -1  0  0  
  0  -1  0  
)
3x-yz-1
11 -z,x,-y, +1
-mz,mx,-my
(
  0  0  -1  
  1  0  0  
  0  -1  0  
)
3xy-z-1
12 -z,-x,y, +1
-mz,-mx,my
(
  0  0  -1  
  -1  0  0  
  0  1  0  
)
3-xyz-1
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  
)'
2x'
15 -x,y,-z, -1
mx, -my, mz
(
  -1  0  0  
  0  1  0  
  0  0  -1  
)'
2y'
16 -x,-y,z, -1
mx, my, -mz
(
  -1  0  0  
  0  -1  0  
  0  0  1  
)'
2z'
17 y,z,x, -1
-my, -mz, -mx
(
  0  1  0  
  0  0  1  
  1  0  0  
)'
3xyz-1'
18 y,-z,-x, -1
-my, mz, mx
(
  0  1  0  
  0  0  -1  
  -1  0  0  
)'
3xy-z'
19 -y,z,-x, -1
my, -mz, mx
(
  0  -1  0  
  0  0  1  
  -1  0  0  
)'
3-xyz'
20 -y,-z,x, -1
my, mz, -mx
(
  0  -1  0  
  0  0  -1  
  1  0  0  
)'
3x-yz'
21 z,x,y, -1
-mz, -mx, -my
(
  0  0  1  
  1  0  0  
  0  1  0  
)'
3xyz'
22 z,-x,-y, -1
-mz, mx, my
(
  0  0  1  
  -1  0  0  
  0  -1  0  
)'
3x-yz-1'
23 -z,x,-y, -1
mz, -mx, my
(
  0  0  -1  
  1  0  0  
  0  -1  0  
)'
3xy-z-1'
24 -z,-x,y, -1
mz, mx, -my
(
  0  0  -1  
  -1  0  0  
  0  1  0  
)'
3-xyz-1'

Subgroups Table

Symmetry-adapted form of material tensors for the magnetic point group 231' (#28.2.108) via MTENSOR


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