General Positions of Magnetic Space Groups

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General Positions of the Group P6₃ (#173.129)
**173.129 P6₃.1 (UNI symbol)**

For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: P6₃ (#173.1.1360)

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

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

6⁺ (0,0,1/2) 0,0,z +1

{ 6⁺₀₀₁ | 0 0 1/2 }

-y, x-y, z, +1
-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

{ 3⁺₀₀₁ | 0 }

-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+y, -x, z, +1
-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

{ 3^-₀₀₁ | 0 }

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

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

6^- (0,0,1/2) 0,0,z +1

{ 6^-₀₀₁ | 0 0 1/2 }

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