Question:

In Chrysoberyl, a compound containing Beryllium, Aluminium and oxygen, oxide ions form cubic close packed structure. Aluminium ions occupy 14\frac{1}{4}th of octahedral voids. The formula of the compound is

Updated On: Apr 1, 2025
  • BeAlO4
  • BeAl2O4
  • Be2AlO2
  • BeAlO2
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The Correct Option is B

Solution and Explanation

In the given compound, the oxide ions form a cubic close-packed structure. The aluminum ions occupy 1/4th of the tetrahedral voids and the beryllium ions occupy 1/4th of the octahedral voids.

  • In a cubic close-packed structure, the number of tetrahedral voids and octahedral voids are both equal to 4.
  • Aluminum occupies 1/4th of the tetrahedral voids, so it will occupy 1 tetrahedral void.
  • Beryllium occupies 1/4th of the octahedral voids, so it will occupy 1 octahedral void.
  • There are 4 oxide ions in the unit cell.

Therefore, the formula of the compound is BeAl2O4BeAl₂O₄.

Correct answer is (B): BeAl2O4BeAl₂O₄

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