Table of Magnetic Space Group Symbols

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Operators of Group 77.18 (P_I4₂)

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
-m_x,-m_y,m_z

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

2 0,0,z +1

{2z|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

4⁺ (0,0,1/2) 0,0,z +1

{4z|0,0,1/2}

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

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

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

{4z-1|0,0,1/2}

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

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

t (1/2,1/2,1/2) -1

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

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

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

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

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

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

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

4⁺ 0,1/2,z -1

{4z|1/2,1/2,0}'

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

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

4^- 1/2,0,z -1

{4z-1|1/2,1/2,0}'

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