General Positions of Magnetic Space Groups

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General Positions of the Group P-42₁m (#113.267)
**113.267 P-42₁m.1 (UNI symbol)**

For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: P-42₁m (#113.1.929)

Standard/Default Setting

Matrix form

Geom. interp.

x, y, z, +1
m_x,m_y,m_z

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

1 +1

{ 1 | 0 }

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

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

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

{ 2₁₀₀ | 1/2 1/2 0 }

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

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

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

{ 2₀₁₀ | 1/2 1/2 0 }

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

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

2 0,0,z +1

{ 2₀₀₁ | 0 }

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

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

-4⁺ 0,0,z 0,0,0 +1

{ -4⁺₀₀₁ | 0 }

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

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

-4^- 0,0,z 0,0,0 +1

{ -4^-₀₀₁ | 0 }

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

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

m x+1/2,-x,z +1

{ m₁₁₀ | 1/2 1/2 0 }

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

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

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

{ m_1-10 | 1/2 1/2 0 }

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