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Magnetic Point Group Tables of -3m1' (#20.2.72)


Useful data about magnetic point group -3m1'


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 -y,x-y,z, +1
-my,mx-my,mz
(
  0  -1  0  
  1  -1  0  
  0  0  1  
)
3z
3 -x+y,-x,z, +1
-mx+my,-mx,mz
(
  -1  1  0  
  -1  0  0  
  0  0  1  
)
3z-1
4 x-y,-y,-z, +1
mx-my,-my,-mz
(
  1  -1  0  
  0  -1  0  
  0  0  -1  
)
2x
5 y,x,-z, +1
my,mx,-mz
(
  0  1  0  
  1  0  0  
  0  0  -1  
)
2xy
6 -x,-x+y,-z, +1
-mx,-mx+my,-mz
(
  -1  0  0  
  -1  1  0  
  0  0  -1  
)
2y
7 -x,-y,-z, +1
mx, my, mz
(
  -1  0  0  
  0  -1  0  
  0  0  -1  
)
-1
8 y,-x+y,-z, +1
-my, mx-my, mz
(
  0  1  0  
  -1  1  0  
  0  0  -1  
)
-3z
9 x-y,x,-z, +1
-mx+my, -mx, mz
(
  1  -1  0  
  1  0  0  
  0  0  -1  
)
-3z-1
10 -x+y,y,z, +1
mx-my, -my, -mz
(
  -1  1  0  
  0  1  0  
  0  0  1  
)
mx
11 -y,-x,z, +1
my, mx, -mz
(
  0  -1  0  
  -1  0  0  
  0  0  1  
)
mxy
12 x,x-y,z, +1
-mx, -mx+my, -mz
(
  1  0  0  
  1  -1  0  
  0  0  1  
)
my
13 x,y,z, -1
-mx, -my, -mz
(
  1  0  0  
  0  1  0  
  0  0  1  
)'
1'
14 -y,x-y,z, -1
my, -mx+my, -mz
(
  0  -1  0  
  1  -1  0  
  0  0  1  
)'
3z'
15 -x+y,-x,z, -1
mx-my, mx, -mz
(
  -1  1  0  
  -1  0  0  
  0  0  1  
)'
3z-1'
16 x-y,-y,-z, -1
-mx+my, my, mz
(
  1  -1  0  
  0  -1  0  
  0  0  -1  
)'
2x'
17 y,x,-z, -1
-my, -mx, mz
(
  0  1  0  
  1  0  0  
  0  0  -1  
)'
2xy'
18 -x,-x+y,-z, -1
mx, mx-my, mz
(
  -1  0  0  
  -1  1  0  
  0  0  -1  
)'
2y'
19 -x,-y,-z, -1
-mx,-my,-mz
(
  -1  0  0  
  0  -1  0  
  0  0  -1  
)'
-1'
20 y,-x+y,-z, -1
my,-mx+my,-mz
(
  0  1  0  
  -1  1  0  
  0  0  -1  
)'
-3z'
21 x-y,x,-z, -1
mx-my,mx,-mz
(
  1  -1  0  
  1  0  0  
  0  0  -1  
)'
-3z-1'
22 -x+y,y,z, -1
-mx+my,my,mz
(
  -1  1  0  
  0  1  0  
  0  0  1  
)'
mx'
23 -y,-x,z, -1
-my,-mx,mz
(
  0  -1  0  
  -1  0  0  
  0  0  1  
)'
mxy'
24 x,x-y,z, -1
mx,mx-my,mz
(
  1  0  0  
  1  -1  0  
  0  0  1  
)'
my'

Subgroups Table

Symmetry-adapted form of material tensors for the magnetic point group -3m1' (#20.2.72) via MTENSOR


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