General Positions of Magnetic Space Groups

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General Positions of the Group P4₁2₁'2' (#92.114)
**92.114 P4₁2₁'2' (UNI symbol)**

For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: P4₁2₁'2' (#92.4.774)

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 }

-y+1/2, x+1/2, z+1/4, +1
-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

{ 4⁺₀₀₁ | 1/2 1/2 1/4 }

y+1/2, -x+1/2, z+3/4, +1
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

{ 4^-₀₀₁ | 1/2 1/2 3/4 }

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

{ 2₀₀₁ | 0 0 1/2 }

x+1/2, -y+1/2, -z+3/4, -1
-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

{ 2'₁₀₀ | 1/2 1/2 3/4 }

-x+1/2, y+1/2, -z+1/4, -1
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

{ 2'₀₁₀ | 1/2 1/2 1/4 }

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

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

2 x,x,0 -1

{ 2'₁₁₀ | 0 }

-y, -x, -z+1/2, -1
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'_1-10 | 0 0 1/2 }

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