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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Solid State

NTA Abhyas 2020 · Chemistry · Solid State

The spinel structure consists of an array of O^ 2 - ions in fcc...

The spinel structure consists of an array of O2−O^{2 -} ions in fcc arrangement. General formula of spinel is AB2O4A{B}_{2}{O}_{4}. Cations of A occupy 1/8th the tetrahedral voids and cations of B ions occupy half of the octahedral voids. If oxide ions are replaced by X−8/3X^{- 8 / 3} ions then number of an ionic vacancy per unit cell will be

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

A. 1

Step-by-step solution

These are four O2−O^{2 -} ions in the unit cell; let these ions are replaced by n, X−8/3X^{- 8 / 3} ions.
Charge of O2−O^{2 -} ions = Charge of X−8/3X^{- 8 / 3} ions
4(-2) = n (-8/3)
n = 3 (i.e., there will one anionic vacancy)
Thus, there will be one an ionic vacancy per unit cell.
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