The theory of morphotropic phase transition in PbZr1 − x Ti x O3

Gufan, M. A.; Gufan, A. Yu.; Gufan, K. Yu.

doi:10.3103/s1062873808040242

Cited by 2 publications

(1 citation statement)

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“…In the work [20], based on the phenomenological theory using the decomposition of the thermodynamic potential (TP) in a series by degrees of a small order parameter (OP), it was shown that in the vicinity of the N-phase multicritical point, this phase is unstable, it is " covered with" stable phases: either T and R, or rhombic. In [21,22], also on the basis of the phenomenological theory, significantly complicated by taking into account the terms of higher degrees in the decomposition of TP and restrictions on the coefficients of decomposition, T − x diagrams were obtained in which this phase is stable.…”

Section: Introductionmentioning

confidence: 99%

Formation of phase states in PbFe-=SUB=-0.5-=/SUB=-Nb-=SUB=-0.5-=/SUB=-O-=SUB=-3-=/SUB=-: Description based on multiminima models

Ivliev

Raevskaya

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et al. 2022

Physics of the Solid State

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Two ferroelectric phase transitions are observed in the PbFe0.5Nb0.5O3 crystal. The first is between the cubic and tetragonal phase, the second is between the tetragonal and monoclinic phases. To describe phase transitions and emerging phases, a statistical model is proposed, based on the composition of two multi-minimum models --- a six-minima model for the Pb cation and an eight-minima model for the Nb cation. Adjusting the model parameters, makes it possible to reproduce all the characteristic features of the thermodynamic behavior of the crystal. The most interesting is the formation of a ferroelectric, complexly ordered monoclinic phase with Cm symmetry. It is shown that the mentioned monoclinic phase arises due to the fact that the first-order phase transition to the rhombohedral ferroelectric phase occurs in the presence of an "external field" of tetragonal symmetry. The contribution of the subsystems of Pb and Nb cations to the features of the dielectric and structural properties of the crystal is estimated. Keywords: ferroelectric relaxors, phase transitions, multiminima models, ferroelectric monoclinic phase.

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Section: Introductionmentioning

confidence: 99%