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2018 | Buch

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Heterogeneous Ferroelectric Solid Solutions

Phases and Domain States

verfasst von: Prof. Vitaly Yu. Topolov

Verlag: Springer International Publishing

Buchreihe : Springer Series in Materials Science

Enthalten in: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik"

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Über dieses Buch

This book systematizes data on the heterophase states and their evolution in perovskite-type ferroelectric solid solutions. It also provides a general interpretation of heterophase and domain structures on changing temperature, composition or electric field, as well as the complete analysis of interconnections domain structures, unit-cell parameters changes, heterophase structures and stress relief. The description of numerous examples of heterophase states in lead-free ferroelectric solid solutions is also included. Domain state–interface diagrams contribute to the interpretation of heterophase states in perovskite-type ferroelectric solid solutions and describe the stress relief in the presence of polydomain phases, the behavior of unit-cell parameters of coexisting phases, the effect of external electric field etc. This 2nd edition generalizes the results on the heterophase ferroelectric solid solutions and the stress relief and presents new results on heterophase/domain structures and phase contents in lead-free ferroelectric solid solutions.

Inhaltsverzeichnis

Frontmatter

Chapter 1. Crystallographic Aspects of Interfaces in Ferroelectrics and Related Materials

Abstract

Analysis of results on the study and classification of various interfaces in polydomain and heterophase ferroelectric single crystals and related materials is carried out. Classification of domain boundaries in ferroelectric single crystals is highlighted. An emphasis is placed on crystallographic methods that can be applied to study complicated domain (twin) structures and their rearrangement, heterophase states, features of the formation of the new phase, etc., in ferroelectric solid solutions. Examples of complete stress relief and zero-net-strain planes at the interphase boundaries in two-phase single crystals are discussed for many cases of first-order phase transitions.

Vitaly Yu. Topolov

Chapter 2. Two-Phase States

Abstract

Two-phase states and related heterophase structures are considered in ferroelectric solid solutions and some ferroelectric single crystals to highlight the validity of conditions for complete stress relief at elastic matching of the adjacent phases. The role of some non-90° domain types in achieving complete stress relief for compositions chosen near the morphotropic phase boundary is discussed in terms of unit-cell parameters, unit-cell spontaneous strains or unit-cell distortions. The effect of intermediate monoclinic (or orthorhombic) phases on the phase coexistence close to the morphotropic phase boundary is described in terms of the crystallographic method. Diagrams put forward suggest that there are a few possible scenarios of stress relief in the studied heterophase ferroelectric solid solutions.

Vitaly Yu. Topolov

Chapter 3. Phase Coexistence Under Electric Field

Abstract

Features of the phase coexistence in relaxor-ferroelectric single crystals under the electric field are discussed by taking into account results of the crystallographic description. The electric field is applied along one of the perovskite-cell directions, [001], [011] or [111]. Different scenarios of stress relief in the presence of complex domain structures and morphotropic phases are proposed by taking into account peculiarities of the unit-cell behaviour. The role of the intermediate polydomain monoclinic phase in forming the various heterophase states is described in the context of effective stress relief in different variants of the phase coexistence.

Vitaly Yu. Topolov

Chapter 4. Three-Phase States

Abstract

Examples of the three-phase states in ferroelectric solid solutions are described in terms of the crystallographic and thermodynamic methods. Model concepts concerned with a series of interphase boundaries that obey conditions for complete stress relief in heterophase and heavily twinned single crystals are developed to highlight the specifics of the three-phase state and the role of specific domain types in stress relief. Conditions for complete stress relief are discussed for sole solid-solution compositions near the morphotropic phase boundary. Diagrams that describe volume fractions of the phases coexisting in ferroelectric solid solutions at complete stress relief in three-phase samples are put forward.

Vitaly Yu. Topolov

Chapter 5. Overlapping Structures and Transition Regions

Abstract

Examples of heterogeneous single crystals and conditions for stress relief in them are discussed in terms of the crystallographic method. Heterogeneity is associated with overlapping structures (i.e. the presence of two different crystal structures) and transition regions, for instance narrow bands near domain or interphase boundaries where unit-cell parameters undergo changes. These heterogeneous states differ from those observed in macroscopically large samples at the phase coexistence or at the interaction between ferroelectric polydomain (twinned) regions. Interpretation of experimental results is carried out by taking into account possible versions of changes in the unit-cell parameters.

Vitaly Yu. Topolov

Chapter 6. Relations Between Domain States and Heterophase Structures in Lead-Free Ferroelectric Solid Solutions

Abstract

Examples of domain structures and elastic matching of phases in a few systems of lead-free perovskite-type ferroelectric solid solutions are described by taking into account the crystallographic method and model concepts on heterophase samples. Features of heterophase (two- or three-phase) states and phase contents in the lead-free systems near the morphotropic phase boundary are discussed, and some variants of elastic matching of polydomain phases and heterophase regions are considered. Diagrams that link volume fractions of specific domain types and phase contents at complete stress relief in heterophase samples near the morphotropic phase boundary are analysed, and calculated results on the phase contents are in agreement with experimental data.

Vitaly Yu. Topolov

Chapter 7. From a Unit Cell to Morphotropic Polydomain/Heterophase Structures

Abstract

Generalized are results of the crystallographic description of the heterophase ferroelectric solid-solution systems wherein the domain and interphase boundaries obey conditions for complete stress relief (i.e. planar boundaries being parallel to zero-net-strain planes) and important links between specific domain types and phase contents are described for compositions near the morphotropic phase boundary. The schematic of the study of heterophase states in ferroelectric solid solutions is put forward to show the important role of physical and crystallographic factors in the phase coexistence observed in ferroelectric solid solutions and related materials.

Vitaly Yu. Topolov

Backmatter

Titel: Heterogeneous Ferroelectric Solid Solutions
verfasst von: Prof. Vitaly Yu. Topolov
Verlag: Springer International Publishing
Electronic ISBN: 978-3-319-75520-5
Print ISBN: 978-3-319-75519-9
DOI: https://doi.org/10.1007/978-3-319-75520-5

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