2011
DOI: 10.3390/ma4020417
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A Review of Domain Modelling and Domain Imaging Techniques in Ferroelectric Crystals

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-ra… Show more

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Cited by 114 publications
(57 citation statements)
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References 181 publications
(289 reference statements)
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“…21 Such correlated mesoscale phenomena have often proven difficult to study, and benefit greatly from a combination of modeling and imaging techniques. 17,[22][23][24] Powder diffraction studies give insight into the average mechanics, while grain-scale information revealed by imaging techniques is generally limited to two-dimensional surface measurements. Simulations and modeling offer an opportunity for in-depth investigation of length scales that are inaccessible experimentally.…”
Section: Introductionmentioning
confidence: 99%
“…21 Such correlated mesoscale phenomena have often proven difficult to study, and benefit greatly from a combination of modeling and imaging techniques. 17,[22][23][24] Powder diffraction studies give insight into the average mechanics, while grain-scale information revealed by imaging techniques is generally limited to two-dimensional surface measurements. Simulations and modeling offer an opportunity for in-depth investigation of length scales that are inaccessible experimentally.…”
Section: Introductionmentioning
confidence: 99%
“…Energy minimization results in crystals consisting of multiple domains separated by domain walls, which have well-defined orientations that minimize energy by maintaining compatibility of strain, charge, and polarizations across the wall. 32 The possible orientations of domain walls in 94 species of ferroelastics have been extrapolated by Sapriel,33 and the relation between domain wall orientations and specific polarization directions in ferroelectrics with different crystal symmetries was reported by Erhart. 34 The origin of h110i polarization is discussed in the following paragraphs based on the domain walls observed in crystals Table I.…”
Section: -D Domain Arrangementmentioning
confidence: 97%
“…[26] This polarizability of ferroelectrics can also become visible without applying an external field: when the crystal cools from the paraelectric (non-ferroelectric) to the ferroelectric phase, polarized domains comprising unit cells with parallel dipole orientation can form spontaneously which is also often considered as the definition and a fail-proof signature of ferroelectrics. [28] The existence of multiple polarized domains within a crystal is a unique feature of ferroelectrics. For example, a phase transition from a cubic crystal structure (above T c ) to a tetragonal crystal structure (below T c ) leads to mechanical stress, to a break of centrosymmetry, to a spontaneous polarization of the unit cell and hence to electrical fields in a crystal, which are partially compensated by charge carrier accumulations that generate depolarizing fields.…”
Section: Ferroelectricsmentioning
confidence: 99%