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Magnetic Point Group Tables of m'-3' (#29.3.111)


Useful data about magnetic point group m'-3'


Number of elements of the group (order): 24
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 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
)'
 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'
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 m'-3' (#29.3.111) via MTENSOR


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