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🧪 Chemistry  ·  Solid State  ·  NEET & JEE

Oxide ions form a ccp lattice while metal ions occupy all the octahedral and all the tetrahedral voids. The formula of the oxide is:

Answer: M 3 O.

  • A M<sub>2</sub>O
  • B M<sub>3</sub>O
  • C MO
  • D M<sub>2</sub>O<sub>3</sub>

Correct answer: B. M<sub>3</sub>O

Explanation: For N oxide ions there are N octahedral and 2N tetrahedral voids; filling all gives 3N metal ions, so M:O = 3:1, i.e. M<sub>3</sub>O.

Cubic Unit Cells: Atom PositionsSimple CubicCN=6, 52.4% packedBody-Centred (BCC)CN=8, 68% packedFace-Centred (FCC)CN=12, 74% packed (densest)Corner atoms (shared by 8 cells) shown lighter; body/face-centre atoms shown solid

The three cubic unit cells: Simple Cubic has atoms only at corners; Body-Centred adds one atom at the centre; Face-Centred adds one atom at the centre of each of the 6 faces, giving the highest packing efficiency.

Concept context

Explore the ordered world of crystalline solids: unit cells, packing, defects, and how structure determines electrical and magnetic properties.

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