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In a solid, oxide ions are arranged in ccp. Cations 'A' occupy one-sixth of the tetrahedral voids and cations 'B' occupy one-third of the octahedral voids. Which of the following is the correct formula of the oxide?

Options

  1. AA B O 3
  2. BA 2 B O 3
  3. CA B 2 O 3
  4. DNone of these

Correct answer

A. A B O 3

Step-by-step solution

Cation A = 1 6 × 8 = 8 6 = 4 3 Cation B = 1 3 × 4 = 4 3 O 2 - = 8 × 1 8 + 6 × 1 2 = 4 A : B : O 2 - = 4 3 : 4 3 : 4 = 1 : 1 : 3

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