Materials Science and Engineering: An Introduction

Published by Wiley
ISBN 10: 1118324579
ISBN 13: 978-1-11832-457-8

Chapter 12 - Structures and Properties of Ceramics - Questions and Problems - Page 507: 12.29

Answer

$\frac{N_{s}}{N} = 7.87 \times 10^{-6}$

Work Step by Step

Required: Fraction of lattice sites that are Schottky defects for cesium chloride at its melting temperature (645°C), assuming an energy for defect formation of 1.86 eV. Solution: Using Equation 12.3 and solving for $\frac{N_{s}}{N}$ ratio: $\frac{N_{s}}{N} = exp (-\frac{Q_{s}}{2kT}) = exp (-\frac{1.86 eV}{(2)(8.62 \times 10^{-5} eV/K)(645 + 273 K)}) = 7.87 \times 10^{-6}$
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