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AP EAMCET · Chemistry · Solid State

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 \(X Y_3\). What is the fraction of octahedral holes unoccupied by \(X\) ?

  1. A \(\frac{1}{2}\)
  2. B \(\frac{2}{3}\)
  3. C \(\frac{3}{4}\)
  4. D \(\frac{1}{5}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{2}{3}\)

Step-by-step Solution

Detailed explanation

\(\because\) Number of octahedral voids \(=\) Number of lattice point \(\because\) Given formula is \(X Y_3\) means. three octahedral voids are filled against each lattice point (particle). \(\because 3\) octahedral voids fill \(=1\) full part of \(Y_3\). \(\because 1\)…
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