Bilbao Crystallographic Server arrow MPOINT - Magnetic Point Group Tables


Magnetic Point Group Tables of 6/mmm.1' (#27.2.101)


Useful data about magnetic point group 6/mmm.1'


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,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
)
 2x
8 x,x-y,-z, +1
mx,mx-my,-mz
(
  1  0  0  
  1  -1  0  
  0  0  -1
)
 21
9 y,x,-z, +1
my,mx,-mz
(
  0  1  0  
  1  0  0  
  0  0  -1
)
 2xy
10 -x+y,y,-z, +1
-mx+my,my,-mz
(
  -1  1  0  
  0  1  0  
  0  0  -1
)
 22
11 -x,-x+y,-z, +1
-mx,-mx+my,-mz
(
  -1  0  0  
  -1  1  0  
  0  0  -1
)
 2y
12 -y,-x,-z, +1
-my,-mx,-mz
(
  0  -1  0  
  -1  0  0  
  0  0  -1
)
 23
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
)
 mz
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
25 x,y,z, -1
-mx, -my, -mz
(
  1  0  0  
  0  1  0  
  0  0  1
)'
 1'
26 x-y,x,z, -1
-mx+my, -mx, -mz
(
  1  -1  0  
  1  0  0  
  0  0  1
)'
 6z'
27 -y,x-y,z, -1
my, -mx+my, -mz
(
  0  -1  0  
  1  -1  0  
  0  0  1
)'
 3z'
28 -x,-y,z, -1
mx, my, -mz
(
  -1  0  0  
  0  -1  0  
  0  0  1
)'
 2z'
29 -x+y,-x,z, -1
mx-my, mx, -mz
(
  -1  1  0  
  -1  0  0  
  0  0  1
)'
 3z-1'
30 y,-x+y,z, -1
-my, mx-my, -mz
(
  0  1  0  
  -1  1  0  
  0  0  1
)'
 6z-1'
31 x-y,-y,-z, -1
-mx+my, my, mz
(
  1  -1  0  
  0  -1  0  
  0  0  -1
)'
 2x'
32 x,x-y,-z, -1
-mx, -mx+my, mz
(
  1  0  0  
  1  -1  0  
  0  0  -1
)'
 21'
33 y,x,-z, -1
-my, -mx, mz
(
  0  1  0  
  1  0  0  
  0  0  -1
)'
 2xy'
34 -x+y,y,-z, -1
mx-my, -my, mz
(
  -1  1  0  
  0  1  0  
  0  0  -1
)'
 22'
35 -x,-x+y,-z, -1
mx, mx-my, mz
(
  -1  0  0  
  -1  1  0  
  0  0  -1
)'
 2y'
36 -y,-x,-z, -1
my, mx, mz
(
  0  -1  0  
  -1  0  0  
  0  0  -1
)'
 23'
37 -x,-y,-z, -1
-mx,-my,-mz
(
  -1  0  0  
  0  -1  0  
  0  0  -1
)'
 -1'
38 -x+y,-x,-z, -1
-mx+my,-mx,-mz
(
  -1  1  0  
  -1  0  0  
  0  0  -1
)'
 -6z'
39 y,-x+y,-z, -1
my,-mx+my,-mz
(
  0  1  0  
  -1  1  0  
  0  0  -1
)'
 -3z'
40 x,y,-z, -1
mx,my,-mz
(
  1  0  0  
  0  1  0  
  0  0  -1
)'
 mz'
41 x-y,x,-z, -1
mx-my,mx,-mz
(
  1  -1  0  
  1  0  0  
  0  0  -1
)'
 -3z-1'
42 -y,x-y,-z, -1
-my,mx-my,-mz
(
  0  -1  0  
  1  -1  0  
  0  0  -1
)'
 -6z-1'
43 -x+y,y,z, -1
-mx+my,my,mz
(
  -1  1  0  
  0  1  0  
  0  0  1
)'
 mx'
44 -x,-x+y,z, -1
-mx,-mx+my,mz
(
  -1  0  0  
  -1  1  0  
  0  0  1
)'
 m1'
45 -y,-x,z, -1
-my,-mx,mz
(
  0  -1  0  
  -1  0  0  
  0  0  1
)'
 mxy'
46 x-y,-y,z, -1
mx-my,-my,mz
(
  1  -1  0  
  0  -1  0  
  0  0  1
)'
 m2'
47 x,x-y,z, -1
mx,mx-my,mz
(
  1  0  0  
  1  -1  0  
  0  0  1
)'
 my'
48 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 6/mmm.1' (#27.2.101) via MTENSOR


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