Use the ClausiusMossotti expression in Equation (8.13) and Table 8.2 to estimate permittivities of SnO 2 (rutile-type,

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Use the Clausius–Mossotti expression in Equation (8.13) and Table 8.2 to estimate permittivities of SnO2 (rutile-type, P42/mnm, Z = 2, a = 4.74 Å, c = 3.19 Å), TiO2 (rutile-type, a = 4.59 Å, c = 2.96 Å) and ZrO2 (baddeleyite-type, P21/c, Z = 4, unit-cell volume = 141 Å). Does the Clausius–Mossotti equation give a reasonably accurate estimate for each compound when compared to the experimental values of εr given in Table 8.1? If not, what is the origin of the discrepancy?

Equation (8.13)

a= V 4 2 Er (+2) [CGSes : a in , V, in A]

Table 8.2

Lit Be+ 1.20 0.19 2+ Na Mg+ 1.80 1.32 K 3.83 Rb* 5.29 Cs 7.43 4+ Ce 3+ Ca+ Se+ Tit 3.16 2.81 2.93 Sr+ 4.24

Table 8.1

Substance Air Teflon C (diamond) Si NaF MgO SiO CaF2 Pbl HO Er 1.0006 2 6 12 5 10 4 7 21 80 Substance SnO ZrO

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Solid State Materials Chemistry

ISBN: 9780521873253

1st Edition

Authors: Patrick M. Woodward, Pavel Karen, John S. O. Evans, Thomas Vogt

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