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In a compound oxide ion have ccp arrangement, cations A are present in 1 8 of the tetrahedral voids and cations B occupy 1 2 of the octahedral voids. What are the formula of the compound?

Options

  1. AA 2 B O 4
  2. BA B 2 O 4
  3. CA B O 2
  4. DA 2 B O 2

Correct answer

B. A B 2 O 4

Step-by-step solution

Oxide ions are forming the lattice Effective number of oxide ions = 4 c c p ∴ Tetrahedral voids = 2 × 4 = 8 And effective number of A atom = 1 8 × 8 = 1 Number of octahedral voids = 4 Effective number of B atom = 1 2 × 4 = 2 ∴ Molecular formulae = A B 2 O 4

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