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AP EAMCET201822 Apr 2018Evening ShiftChemistrySolid StateActual

A compound is formed by X and Y elements. Atoms of Y (anions) from hcp lattice. Atoms of X (cations) are in some octahedral holes. The formula of the compound is X Y₃ . What is the fraction of octahedral holes unoccupied by X ?

Options

  1. A1 2
  2. B2 3
  3. C3 4
  4. D1 5

Correct answer

B. 2 3

Step-by-step solution

Number of octahedral voids = Number of lattice point Given formula is X Y₃ means. three octahedral voids are filled against each lattice point (particle). 3 octahedral voids fill =1 full part of Y₃ . 1 octahedral voids fill = 1 3 part of Y₃ . Unoccupied fraction of voids =1- 1 3 = 2 3

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