The C1_b (half-Heusler) Structure

Last modified 5 April 2001

You can now

• see the structure from several perspectives;
• examine the structure with an external viewer; or
• download the coordinates of the atoms in these pictures in XYZ format.

All of the atoms are located on the sites of a body centered cubic lattice. This is sometimes called the ``half-Heusler'' structure because it is identical to the L2₁ (Heusler) structure with half of the copper atoms missing.

• Prototype: AgAsMg or AlLiSi
• Pearson Symbol: cF12
• Strukturbericht Designation: C1_b
• Space Group: F(-4)3m (Cartesian and lattice coordinate listings available)
• Number: 216
• Other Compounds with this Structure: MnNiSb, AuMgSn, CdLiP, BiMgNi, RhSnTi, numerous others.
• Primitive Vectors:
  • A₁ = a Y + a Z
  • A₂ = a X + a Z
  • A₃ = a X + a Y
• Basis Vectors:
  • B₁ = 0   (Mg)   (4a)
  • B₂ = -½ A₁ + ½ A₂ + ½ A₃ = a X   (Ag)   (4b)
  • B₃ = ¼ A₁ + ¼ A₂ + ¼ A₃ = ½ a X + ½ a Y + ½ a Z   (As)   (4c)

See these vectors in a better notation.

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