The D10₁ (C₃Cr₇) Structure

Last modified 5 April 2001

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• Prototype: C₃Cr₇
• Pearson Symbol: oP40
• Strukturbericht Designation: D10₁
• Space Group: Pnma (Cartesian and lattice coordinate listings available)
• Number: 62
• Other Compounds with this Structure: C₃Fe₇
• Primitive Vectors:
  • A₁ = a X
  • A₂ = b Y
  • A₃ = c Z
• Basis Vectors:
  • B₁ = + x₁ A₁ + ¼ A₂ + z₁ A₃ = + x₁ a X + ¼ b Y + z₁ c Z   (C I)   (4c)
  • B₂ = - x₁ A₁ + ¾ A₂ - z₁ A₃ = - x₁ a X + ¾ b Y - z₁ c Z   (C I)   (4c)
  • B₃ = (½ - x₁) A₁ + ¾ A₂ + (½ + z₁) A₃ = (½ - x₁) a X + ¾ b Y + (½ + z₁) c Z   (C I)   (4c)
  • B₄ = (½ + x₁) A₁ + ¼ A₂ + (½ - z₁) A₃ = (½ + x₁) a X + ¼ b Y + (½ - z₁) c Z   (C I)   (4c)
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  • B₅ = + x₂ A₁ + y₂ A₂ + z₂ A₃ = + x₂ a X + y₂ b Y + z₂ c Z   (C II)   (8d)
  • B₆ = - x₂ A₁ - y₂ A₂ - z₂ A₃ = - x₂ a X - y₂ b Y - z₂ c Z   (C II)   (8d)
  • B₇ = (½ + x₂) A₁ + (½ - y₂) A₂ + (½ - z₂) A₃ = + (½ + x₂) a X + (½ - y₂) b Y + (½ - z₂) c Z   (C II)   (8d)
  • B₈ = (½ - x₂) A₁ + (½ + y₂) A₂ + (½ + z₂) A₃ = + (½ - x₂) a X + (½ + y₂) b Y + (½ + z₂) c Z   (C II)   (8d)
  • B₉ = - x₂ A₁ + (½ + y₂) A₂ - z₂ A₃ = - x₂ a X + (½ + y₂) b Y - z₂ c Z   (C II)   (8d)
  • B₁₀ = + x₂ A₁ + (½ - y₂) A₂ + z₂ A₃ = + x₂ a X + (½ - y₂) b Y + z₂ c Z   (C II)   (8d)
  • B₁₁ = (½ - x₂) A₁ - y₂ A₂ + (½ + z₂) A₃ = + (½ - x₂) a X - y₂ b Y + (½ + z₂) c Z   (C II)   (8d)
  • B₁₂ = (½ + x₂) A₁ + y₂ A₂ + (½ - z₂) A₃ = + (½ + x₂) a X + y₂ b Y + (½ - z₂) c Z   (C II)   (8d)
  •  
  • B₁₃ = + x₃ A₁ + ¼ A₂ + z₃ A₃ = + x₃ a X + ¼ b Y + z₃ c Z   (Cr I)   (4c)
  • B₁₄ = - x₃ A₁ + ¾ A₂ - z₃ A₃ = - x₃ a X + ¾ b Y - z₃ c Z   (Cr I)   (4c)
  • B₁₅ = (½ - x₃) A₁ + ¾ A₂ + (½ + z₃) A₃ = (½ - x₃) a X + ¾ b Y + (½ + z₃) c Z   (Cr I)   (4c)
  • B₁₆ = (½ + x₃) A₁ + ¼ A₂ + (½ - z₃) A₃ = (½ + x₃) a X + ¼ b Y + (½ - z₃) c Z   (Cr I)   (4c)
  •  
  • B₁₇ = + x₄ A₁ + ¼ A₂ + z₄ A₃ = + x₄ a X + ¼ b Y + z₄ c Z   (Cr II)   (4c)
  • B₁₈ = - x₄ A₁ + ¾ A₂ - z₄ A₃ = - x₄ a X + ¾ b Y - z₄ c Z   (Cr II)   (4c)
  • B₁₉ = (½ - x₄) A₁ + ¾ A₂ + (½ + z₄) A₃ = (½ - x₄) a X + ¾ b Y + (½ + z₄) c Z   (Cr II)   (4c)
  • B₂₀ = (½ + x₄) A₁ + ¼ A₂ + (½ - z₄) A₃ = (½ + x₄) a X + ¼ b Y + (½ - z₄) c Z   (Cr II)   (4c)
  •  
  • B₂₁ = + x₅ A₁ + ¼ A₂ + z₅ A₃ = + x₅ a X + ¼ b Y + z₅ c Z   (Cr III)   (4c)
  • B₂₂ = - x₅ A₁ + ¾ A₂ - z₅ A₃ = - x₅ a X + ¾ b Y - z₅ c Z   (Cr III)   (4c)
  • B₂₃ = (½ - x₅) A₁ + ¾ A₂ + (½ + z₅) A₃ = (½ - x₅) a X + ¾ b Y + (½ + z₅) c Z   (Cr III)   (4c)
  • B₂₄ = (½ + x₅) A₁ + ¼ A₂ + (½ - z₅) A₃ = (½ + x₅) a X + ¼ b Y + (½ - z₅) c Z   (Cr III)   (4c)
  •  
  • B₂₅ = + x₆ A₁ + y₆ A₂ + z₆ A₃ = + x₆ a X + y₆ b Y + z₆ c Z   (Cr IV)   (8d)
  • B₂₆ = - x₆ A₁ - y₆ A₂ - z₆ A₃ = - x₆ a X - y₆ b Y - z₆ c Z   (Cr IV)   (8d)
  • B₂₇ = (½ + x₆) A₁ + (½ - y₆) A₂ + (½ - z₆) A₃ = + (½ + x₆) a X + (½ - y₆) b Y + (½ - z₆) c Z   (Cr IV)   (8d)
  • B₂₈ = (½ - x₆) A₁ + (½ + y₆) A₂ + (½ + z₆) A₃ = + (½ - x₆) a X + (½ + y₆) b Y + (½ + z₆) c Z   (Cr IV)   (8d)
  • B₂₉ = - x₆ A₁ + (½ + y₆) A₂ - z₆ A₃ = - x₆ a X + (½ + y₆) b Y - z₆ c Z   (Cr IV)   (8d)
  • B₃₀ = + x₆ A₁ + (½ - y₆) A₂ + z₆ A₃ = + x₆ a X + (½ - y₆) b Y + z₆ c Z   (Cr IV)   (8d)
  • B₃₁ = (½ - x₆) A₁ - y₆ A₂ + (½ + z₆) A₃ = + (½ - x₆) a X - y₆ b Y + (½ + z₆) c Z   (Cr IV)   (8d)
  • B₃₂ = (½ + x₆) A₁ + y₆ A₂ + (½ - z₆) A₃ = + (½ + x₆) a X + y₆ b Y + (½ - z₆) c Z   (Cr IV)   (8d)
  •  
  • B₃₃ = + x₇ A₁ + y₇ A₂ + z₇ A₃ = + x₇ a X + y₇ b Y + z₇ c Z   (Cr V)   (8d)
  • B₃₄ = - x₇ A₁ - y₇ A₂ - z₇ A₃ = - x₇ a X - y₇ b Y - z₇ c Z   (Cr V)   (8d)
  • B₃₅ = (½ + x₇) A₁ + (½ - y₇) A₂ + (½ - z₇) A₃ = + (½ + x₇) a X + (½ - y₇) b Y + (½ - z₇) c Z   (Cr V)   (8d)
  • B₃₆ = (½ - x₇) A₁ + (½ + y₇) A₂ + (½ + z₇) A₃ = + (½ - x₇) a X + (½ + y₇) b Y + (½ + z₇) c Z   (Cr V)   (8d)
  • B₃₇ = - x₇ A₁ + (½ + y₇) A₂ - z₇ A₃ = - x₇ a X + (½ + y₇) b Y - z₇ c Z   (Cr V)   (8d)
  • B₃₈ = + x₇ A₁ + (½ - y₇) A₂ + z₇ A₃ = + x₇ a X + (½ - y₇) b Y + z₇ c Z   (Cr V)   (8d)
  • B₃₉ = (½ - x₇) A₁ - y₇ A₂ + (½ + z₇) A₃ = + (½ - x₇) a X - y₇ b Y + (½ + z₇) c Z   (Cr V)   (8d)
  • B₄₀ = (½ + x₇) A₁ + y₇ A₂ + (½ - z₇) A₃ = + (½ + x₇) a X + y₇ b Y + (½ - z₇) c Z   (Cr V)   (8d)

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