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KVPY2017ChemistrySolid State

A mineral consists of a cubic close-packed structure formed by O ²⁻ ions where half the octahedral voids are occupied by Al ³⁺ and oneeighth of the tetrahedral voids are occupied by Mn ²⁺ . The chemical formula of the mineral is

Options

  1. AMn ₃ Al ₂ O ₆
  2. BMnAl ₂ O ₄
  3. CMnAl ₄ O ₇
  4. DMn ₂ Al ₂ O ₅

Correct answer

B. MnAl ₂ O ₄

Step-by-step solution

No of O ⁻² per unit cell =8 1 8 +6 1 2 =4 No of Al ⁺³ per unit cell =4 1 2 =2 No of Mn ⁺² per unit cell =8 1 8 =1 M n A l ₂ O ₄

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