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Magnetic Point Group Tables of -4'3m' (#31.3.117)


Useful data about magnetic point group -4'3m'


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 y,x,z, -1
my,mx,mz
(
  0  1  0  
  1  0  0  
  0  0  1  
)'
m-xy'
14 y,-x,-z, -1
my,-mx,-mz
(
  0  1  0  
  -1  0  0  
  0  0  -1  
)'
-4z'
15 -y,x,-z, -1
-my,mx,-mz
(
  0  -1  0  
  1  0  0  
  0  0  -1  
)'
-4z-1'
16 -y,-x,z, -1
-my,-mx,mz
(
  0  -1  0  
  -1  0  0  
  0  0  1  
)'
mxy'
17 x,z,y, -1
mx,mz,my
(
  1  0  0  
  0  0  1  
  0  1  0  
)'
m-yz'
18 x,-z,-y, -1
mx,-mz,-my
(
  1  0  0  
  0  0  -1  
  0  -1  0  
)'
myz'
19 -x,z,-y, -1
-mx,mz,-my
(
  -1  0  0  
  0  0  1  
  0  -1  0  
)'
-4x'
20 -x,-z,y, -1
-mx,-mz,my
(
  -1  0  0  
  0  0  -1  
  0  1  0  
)'
-4x-1'
21 z,y,x, -1
mz,my,mx
(
  0  0  1  
  0  1  0  
  1  0  0  
)'
m-xz'
22 z,-y,-x, -1
mz,-my,-mx
(
  0  0  1  
  0  -1  0  
  -1  0  0  
)'
-4y-1'
23 -z,y,-x, -1
-mz,my,-mx
(
  0  0  -1  
  0  1  0  
  -1  0  0  
)'
mxz'
24 -z,-y,x, -1
-mz,-my,mx
(
  0  0  -1  
  0  -1  0  
  1  0  0  
)'
-4y'

Subgroups Table

Symmetry-adapted form of material tensors for the magnetic point group -4'3m' (#31.3.117) via MTENSOR


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