The ionic polarizabilities in Pb(ZrxTi1−x)O3 compositions are calculated by the Clausius-Mossotti-Lorentz-Lorentz equation. The resultant gap of the polarizability appearing at the morphotropic phase boundary (MPB) composition suggests the phase transition boundary to be due to the electrostatic long-range dipole moment. Semiconducting and phonon softening of PZT near MPB compositions may be arrived at from screening of the long-range dipole-dipole interaction by electrons.
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Fukuhara et al. (1990) studied this question.
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