Table of Magnetic Space Group Symbols

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Operators of Group 92.113 (P4₁'2₁2')

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}

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

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

2 (0,0,1/2) 0,0,z +1

{2z|0,0,1/2}

-x+1/2,y+1/2,-z+1/4
-m_x,m_y,-m_z

 -1   0   0   1/2
  0   1   0   1/2
  0   0  -1   1/4

2 (0,1/2,0) 1/4,y,1/8 +1

{2y|1/2,1/2,1/4}

x+1/2,-y+1/2,-z+3/4
m_x,-m_y,-m_z

  1   0   0   1/2
  0  -1   0   1/2
  0   0  -1   3/4

2 (1/2,0,0) x,1/4,3/8 +1

{2x|1/2,1/2,3/4}

-y+1/2,x+1/2,z+1/4
m_y,-m_x,-m_z

  0  -1   0   1/2
  1   0   0   1/2
  0   0   1   1/4

4⁺ (0,0,1/4) 0,1/2,z -1

{4z|1/2,1/2,1/4}'

y+1/2,-x+1/2,z+3/4
-m_y,m_x,-m_z

  0   1   0   1/2
 -1   0   0   1/2
  0   0   1   3/4

4^- (0,0,3/4) 1/2,0,z -1

{4z-1|1/2,1/2,3/4}'

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

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

2 x,x,0 -1

{2xy|0,0,0}'

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

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

2 x,-x,1/4 -1

{2-xy|0,0,1/2}'

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