General Positions of Magnetic Space Groups

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General Positions of the Group Cmc'2₁' (#36.175)
**36.175 Cmc'2₁' (UNI symbol)**

For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: Cmc'2₁' (#36.4.252)

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

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

m 0,y,z +1

{ m₁₀₀ | 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

{ 2'₀₀₁ | 0 0 1/2 }

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

c x,0,z -1

{ m'₀₁₀ | 0 0 1/2 }

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

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

{ 1 | 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

b 1/4,y,z +1

{ m₁₀₀ | 1/2 1/2 0 }

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

{ 2'₀₀₁ | 1/2 1/2 1/2 }

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

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

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

{ m'₀₁₀ | 1/2 1/2 1/2 }

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