Abstract

The present paper reviews models of domain structure in ferroelectric crystals, thin films and bulk materials. Common crystal structures in ferroelectric materials are described and the theory of compatible domain patterns is introduced. Applications to multi-rank laminates are presented. Alternative models employing phase-field and related techniques are reviewed. The paper then presents methods of observing ferroelectric domain structure, including optical, polarized light, scanning electron microscopy, X-ray and neutron diffraction, atomic force microscopy and piezo-force microscopy. Use of more than one technique for unambiguous identification of the domain structure is also described.

Highlights

  • After the discovery of dielectric hysteresis in Rochelle salt by Valasek [1], the study of ferroelectric crystals expanded into a major research field and numerous applications followed

  • We review theoretical descriptions of ferroelectric domain patterns and their evolution

  • Scanning non-linear dielectric microscopy (SNDM) is a contact mode technique in which the sample surface acts as a capacitance in a resonant LC circuit driven by an a.c. voltage applied to the probe tip

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Summary

Introduction

After the discovery of dielectric hysteresis in Rochelle salt by Valasek [1], the study of ferroelectric crystals expanded into a major research field and numerous applications followed. Major developments in piezoelectrics in the last two decades, such as the use of phase transformations in single crystals to achieve enhanced piezoelectric strains [3], and the development of strongly coupled lead-free piezoelectric ceramics [4], were experimentally led. In both cases, the discoveries rely on particular features of microstructural arrangement. Cohen [5] observed that, in the near future, predictive theory could lead the discovery of new ferroelectric materials While this observation referred mainly to the role of first-principles methods in understanding strong electromechanical coupling, recent advances in understanding and modelling microstructure may enable tailored material properties by design. The emphasis is on bulk single crystals; application to thin films and nano-scale devices is discussed

Crystallography and Ferroelectric Domains
Micromechanical Switching Models
Theory of Domain Compatibility
Domain Evolution Models
Phase Field Models
Sharp Interface Models
Models for Ferroelectric Films
Observation of Domain Structure in Ferroelectric Crystals
Surface Treatment Techniques
Optical Techniques
X-ray Techniques
Electron Microscopy Techniques
Scanning Probe Microscopy
Combined Methods
Conclusions
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