Lanthanoid zirconates Ln 2 Zr 2 O 7 (Ln = La, Pr, Nd, Sm, Eu) adopt the

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Lanthanoid zirconates Ln2Zr2O7 (Ln = La, Pr, Nd, Sm, Eu) adopt the cubic pyrochlore structure (Fd3m, Z = 8), with cubic unit-cell edge a = 10.80 Å (La), 10.69 Å (Pr), 10.67 Å (Nd), 10.59 Å (Sm), 10.55 Å (Eu). Use this information, Equation (8.13) and Table 8.2 to estimate the dielectric permittivity of these phases. Does the Clausius–Mossotti equation predict that the dielectric constant will increase or decrease asthe radius of the rare-earth ion decreases?

Equation (8.13)

3 a -V 4 (r + 2) [CGSes : a in A, V in A] Er

Table 8.2

Lit Be+ 1.20 0.19 2+ Na Mg+ 1.32 1.80 K 3.83 Rb* 5.29 Cs 7.43 4+ Ca+ Se+ Tit 3.16 2.81 2.93 Sr+ 4.24 3.81

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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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