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Magnetic Point Group Tables of m-3.1 (#29.1.109)


Useful data about magnetic point group m-3.1


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-3.1 (#29.1.109) via MTENSOR


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