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NEET 2012
Exam
NEET
Year
2012
Subject
Chemistry
Chapter
Solid State

NEET 2012 · Chemistry · Solid State

Structure of a mixed oxide is cubic close packed (ccp). The cubic...

Structure of a mixed oxide is cubic close packed (ccp). The cubic unit cell of mixed oxide is composed of oxide ions. One fourth of the tetrahedral voids are occupied by divalent metal AA and the octahedral voids are occupied by a monovalent metal BB. The formula of the oxide is

Options

  1. AABO2\mathrm{ABO}_2
  2. BA2BO2\mathrm{A}_2 \mathrm{BO}_2
  3. CA2 B3O4\mathrm{A}_2 \mathrm{~B}_3 \mathrm{O}_4
  4. DAB2O2\mathrm{AB}_2 \mathrm{O}_2

Correct answer

D. AB2O2\mathrm{AB}_2 \mathrm{O}_2

Step-by-step solution

According to ccp, Number of O2−\mathrm{O}^{2-} ions =4=4 So, tetrahedral void =8=8 and \quad octahedral void =4=4 Since, AA ions occupied 14\frac{1}{4} th of tetrahedral void. ∴\therefore Number of AA ions =14×8=2=\frac{1}{4} \times 8=2 Again, BB ions occupied all octahedral void. ∴\therefore Number of BB ions =4=4 A:B:O=2:4:4=1:2:2\begin{aligned}A: B: \mathrm{O}& =2: 4: 4 \\ & =1: 2: 2 \end{aligned}\thereforeStructureofoxideStructure of oxide=A B_2 \mathrm{O}_2
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