Effective material properties in twinned ferroelectric crystals

Jiří Erhart, Wenwu Cao

Research output: Contribution to journalArticle

39 Citations (Scopus)

Abstract

Without external fields, ferroelectric materials will have multidomain configuration in the ferroelectric state. Detailed analysis found that twinning may not be treated as random since the number of orientations for the domain walls are limited in a given symmetry change during a ferroelectric phase transition. In each finite region of a large crystal or in small crystallites, a particular set of twins is favored under certain boundary conditions, which consists of only two of the low temperature variants. Statistic models of random distribution of domains do not apply for calculating the physical properties of such twin structures. However, one could derive the two domain twin properties by using the constitutive equations and appropriate mechanical boundary considerations. This paper presents a theoretical analysis on such a two-domain twin system, including its global symmetry and effective material properties resulting from different twinning configurations. Numerical results are derived for LiNbO3 and BaTiO3.

Original languageEnglish (US)
Pages (from-to)1073-1081
Number of pages9
JournalJournal of Applied Physics
Volume86
Issue number2
DOIs
StatePublished - Jul 15 1999

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twinning
crystals
ferroelectric materials
constitutive equations
symmetry
configurations
statistical distributions
crystallites
domain wall
physical properties
statistics
boundary conditions

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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title = "Effective material properties in twinned ferroelectric crystals",
abstract = "Without external fields, ferroelectric materials will have multidomain configuration in the ferroelectric state. Detailed analysis found that twinning may not be treated as random since the number of orientations for the domain walls are limited in a given symmetry change during a ferroelectric phase transition. In each finite region of a large crystal or in small crystallites, a particular set of twins is favored under certain boundary conditions, which consists of only two of the low temperature variants. Statistic models of random distribution of domains do not apply for calculating the physical properties of such twin structures. However, one could derive the two domain twin properties by using the constitutive equations and appropriate mechanical boundary considerations. This paper presents a theoretical analysis on such a two-domain twin system, including its global symmetry and effective material properties resulting from different twinning configurations. Numerical results are derived for LiNbO3 and BaTiO3.",
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Effective material properties in twinned ferroelectric crystals. / Erhart, Jiří; Cao, Wenwu.

In: Journal of Applied Physics, Vol. 86, No. 2, 15.07.1999, p. 1073-1081.

Research output: Contribution to journalArticle

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AU - Cao, Wenwu

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