Table of Magnetic Space Group Symbols

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Operators of Group 146.10 (R3)

x,y,z
m_x,m_y,m_z

  1   0   0     0
  0   1   0     0
  0   0   1     0

1 +1

{1|0,0,0}

-y,x-y,z
-m_y,m_x-m_y,m_z

  0  -1   0     0
  1  -1   0     0
  0   0   1     0

3⁺ 0,0,z +1

{3z|0,0,0}

-x+y,-x,z
-m_x+m_y,-m_x,m_z

 -1   1   0     0
 -1   0   0     0
  0   0   1     0

3^- 0,0,z +1

{3z-1|0,0,0}

x+2/3,y+1/3,z+1/3
m_x,m_y,m_z

  1   0   0   2/3
  0   1   0   1/3
  0   0   1   1/3

t (2/3,1/3,1/3) +1

{1|2/3,1/3,1/3}

5^d.

-y+2/3,x-y+1/3,z+1/3
-m_y,m_x-m_y,m_z

  0  -1   0   2/3
  1  -1   0   1/3
  0   0   1   1/3

3⁺ (0,0,1/3) 1/3,1/3,z +1

{3z|2/3,1/3,1/3}

6^d.

-x+y+2/3,-x+1/3,z+1/3
-m_x+m_y,-m_x,m_z

 -1   1   0   2/3
 -1   0   0   1/3
  0   0   1   1/3

3^- (0,0,1/3) 1/3,0,z +1

{3z-1|2/3,1/3,1/3}

x+1/3,y+2/3,z+2/3
m_x,m_y,m_z

  1   0   0   1/3
  0   1   0   2/3
  0   0   1   2/3

t (1/3,2/3,2/3) +1

{1|1/3,2/3,2/3}

8^d.

-y+1/3,x-y+2/3,z+2/3
-m_y,m_x-m_y,m_z

  0  -1   0   1/3
  1  -1   0   2/3
  0   0   1   2/3

3⁺ (0,0,2/3) 0,1/3,z +1

{3z|1/3,2/3,2/3}

9^d.

-x+y+1/3,-x+2/3,z+2/3
-m_x+m_y,-m_x,m_z

 -1   1   0   1/3
 -1   0   0   2/3
  0   0   1   2/3

3^- (0,0,2/3) 1/3,1/3,z +1

{3z-1|1/3,2/3,2/3}

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