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Magnetic Point Group Tables of 6mm1' (#25.2.92)


Useful data about magnetic point group 6mm1'


Number of elements of the group (order): 24
This group is not centrosymmetric
This group is 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,x,z, +1
mx-my,mx,mz
(
  1  -1  0  
  1  0  0  
  0  0  1  
)
6z
3 -y,x-y,z, +1
-my,mx-my,mz
(
  0  -1  0  
  1  -1  0  
  0  0  1  
)
3z
4 -x,-y,z, +1
-mx,-my,mz
(
  -1  0  0  
  0  -1  0  
  0  0  1  
)
2z
5 -x+y,-x,z, +1
-mx+my,-mx,mz
(
  -1  1  0  
  -1  0  0  
  0  0  1  
)
3z-1
6 y,-x+y,z, +1
my,-mx+my,mz
(
  0  1  0  
  -1  1  0  
  0  0  1  
)
6z-1
7 -x+y,y,z, +1
mx-my, -my, -mz
(
  -1  1  0  
  0  1  0  
  0  0  1  
)
mx
8 -x,-x+y,z, +1
mx, mx-my, -mz
(
  -1  0  0  
  -1  1  0  
  0  0  1  
)
m1
9 -y,-x,z, +1
my, mx, -mz
(
  0  -1  0  
  -1  0  0  
  0  0  1  
)
mxy
10 x-y,-y,z, +1
-mx+my, my, -mz
(
  1  -1  0  
  0  -1  0  
  0  0  1  
)
m2
11 x,x-y,z, +1
-mx, -mx+my, -mz
(
  1  0  0  
  1  -1  0  
  0  0  1  
)
my
12 y,x,z, +1
-my, -mx, -mz
(
  0  1  0  
  1  0  0  
  0  0  1  
)
m3
13 x,y,z, -1
-mx, -my, -mz
(
  1  0  0  
  0  1  0  
  0  0  1  
)'
1'
14 x-y,x,z, -1
-mx+my, -mx, -mz
(
  1  -1  0  
  1  0  0  
  0  0  1  
)'
6z'
15 -y,x-y,z, -1
my, -mx+my, -mz
(
  0  -1  0  
  1  -1  0  
  0  0  1  
)'
3z'
16 -x,-y,z, -1
mx, my, -mz
(
  -1  0  0  
  0  -1  0  
  0  0  1  
)'
2z'
17 -x+y,-x,z, -1
mx-my, mx, -mz
(
  -1  1  0  
  -1  0  0  
  0  0  1  
)'
3z-1'
18 y,-x+y,z, -1
-my, mx-my, -mz
(
  0  1  0  
  -1  1  0  
  0  0  1  
)'
6z-1'
19 -x+y,y,z, -1
-mx+my,my,mz
(
  -1  1  0  
  0  1  0  
  0  0  1  
)'
mx'
20 -x,-x+y,z, -1
-mx,-mx+my,mz
(
  -1  0  0  
  -1  1  0  
  0  0  1  
)'
m1'
21 -y,-x,z, -1
-my,-mx,mz
(
  0  -1  0  
  -1  0  0  
  0  0  1  
)'
mxy'
22 x-y,-y,z, -1
mx-my,-my,mz
(
  1  -1  0  
  0  -1  0  
  0  0  1  
)'
m2'
23 x,x-y,z, -1
mx,mx-my,mz
(
  1  0  0  
  1  -1  0  
  0  0  1  
)'
my'
24 y,x,z, -1
my,mx,mz
(
  0  1  0  
  1  0  0  
  0  0  1  
)'
m3'

Subgroups Table

Symmetry-adapted form of material tensors for the magnetic point group 6mm1' (#25.2.92) via MTENSOR


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