Bilbao Crystallographic Server arrow MPOINT - Magnetic Point Group Tables


Magnetic Point Group Tables of m-3m (#32.1.118)


Useful data about magnetic point group m-3m


Number of elements of the group (order): 48
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 -y,-x,-z, +1
-my,-mx,-mz
(
  0  -1  0  
  -1  0  0  
  0  0  -1  
)
2-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  
)
2xy
17 -x,-z,-y, +1
-mx,-mz,-my
(
  -1  0  0  
  0  0  -1  
  0  -1  0  
)
2-yz
18 -x,z,y, +1
-mx,mz,my
(
  -1  0  0  
  0  0  1  
  0  1  0  
)
2yz
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  
)
2-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  
)
2xz
24 z,y,-x, +1
mz,my,-mx
(
  0  0  1  
  0  1  0  
  -1  0  0  
)
4y
25 -x,-y,-z, +1
mx, my, mz
(
  -1  0  0  
  0  -1  0  
  0  0  -1  
)
-1
26 -x,y,z, +1
mx, -my, -mz
(
  -1  0  0  
  0  1  0  
  0  0  1  
)
mx
27 x,-y,z, +1
-mx, my, -mz
(
  1  0  0  
  0  -1  0  
  0  0  1  
)
my
28 x,y,-z, +1
-mx, -my, mz
(
  1  0  0  
  0  1  0  
  0  0  -1  
)
mz
29 -y,-z,-x, +1
my, mz, mx
(
  0  -1  0  
  0  0  -1  
  -1  0  0  
)
-3xyz-1
30 -y,z,x, +1
my, -mz, -mx
(
  0  -1  0  
  0  0  1  
  1  0  0  
)
-3xy-z
31 y,-z,x, +1
-my, mz, -mx
(
  0  1  0  
  0  0  -1  
  1  0  0  
)
-3-xyz
32 y,z,-x, +1
-my, -mz, mx
(
  0  1  0  
  0  0  1  
  -1  0  0  
)
-3x-yz
33 -z,-x,-y, +1
mz, mx, my
(
  0  0  -1  
  -1  0  0  
  0  -1  0  
)
-3xyz
34 -z,x,y, +1
mz, -mx, -my
(
  0  0  -1  
  1  0  0  
  0  1  0  
)
-3x-yz-1
35 z,-x,y, +1
-mz, mx, -my
(
  0  0  1  
  -1  0  0  
  0  1  0  
)
-3xy-z-1
36 z,x,-y, +1
-mz, -mx, my
(
  0  0  1  
  1  0  0  
  0  -1  0  
)
-3-xyz-1
37 y,x,z, +1
-my, -mx, -mz
(
  0  1  0  
  1  0  0  
  0  0  1  
)
m-xy
38 y,-x,-z, +1
-my, mx, mz
(
  0  1  0  
  -1  0  0  
  0  0  -1  
)
-4z
39 -y,x,-z, +1
my, -mx, mz
(
  0  -1  0  
  1  0  0  
  0  0  -1  
)
-4z-1
40 -y,-x,z, +1
my, mx, -mz
(
  0  -1  0  
  -1  0  0  
  0  0  1  
)
mxy
41 x,z,y, +1
-mx, -mz, -my
(
  1  0  0  
  0  0  1  
  0  1  0  
)
m-yz
42 x,-z,-y, +1
-mx, mz, my
(
  1  0  0  
  0  0  -1  
  0  -1  0  
)
myz
43 -x,z,-y, +1
mx, -mz, my
(
  -1  0  0  
  0  0  1  
  0  -1  0  
)
-4x
44 -x,-z,y, +1
mx, mz, -my
(
  -1  0  0  
  0  0  -1  
  0  1  0  
)
-4x-1
45 z,y,x, +1
-mz, -my, -mx
(
  0  0  1  
  0  1  0  
  1  0  0  
)
m-xz
46 z,-y,-x, +1
-mz, my, mx
(
  0  0  1  
  0  -1  0  
  -1  0  0  
)
-4y-1
47 -z,y,-x, +1
mz, -my, mx
(
  0  0  -1  
  0  1  0  
  -1  0  0  
)
mxz
48 -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 m-3m (#32.1.118) via MTENSOR


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