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TS EAMCET · Chemistry · Solid State

The molecular formula of a compound is \(\mathrm{AB}_2 \mathrm{O}_4\). Atoms of O form ccp lattice. Atoms of A (cation) occupy \(\frac{1}{8}\) th of tetrahedral voids. Atoms of B (cation) occupy a fraction of octahedral voids. What is the fraction of vacant octahedral voids?

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

Answer & Solution

Correct Answer

(D) \(\frac{1}{2}\)

Step-by-step Solution

Detailed explanation

No. of tetrahedral voids is twice the no. of atoms. No of octahedral voids is same as the no. of atoms. oxygen at ccp = 1 A occupy \(\frac{1}{8}\) of tetrahedral voids i.e. \(\frac{1}{8} \times 2=\frac{1}{4}\) Atoms of B (Cation) occupy octahedral voids i.e…