Step‐Energy Barriers and Particle Shape Changes during Coarsening

Sheldon, Brian W.; Rankin, Janet

doi:10.1111/j.1151-2916.2002.tb00150.x

Cited by 17 publications

(22 citation statements)

References 21 publications

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“…When the step free energy is <1.0 × h γ, the shape of the grain is a round‐edged polyhedron. The growth of round‐edged polyhedral grains, however, is also governed by the growth of facets, as shown in recent studies 21–23 …”

Section: Theoretical Background: Prediction Of Grain Growth Behaviormentioning

confidence: 81%

Microstructural Evolution During Sintering with Control of the Interface Structure

Kang

Lee

2009

Journal of the American Ceramic Society

139

117

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This paper reports recent theoretical perspectives and experimental results on microstructural evolution during sintering in terms of the interface structure, which is either rough (atomically disordered) or faceted (atomically ordered). The paper presents theoretical predictions and calculations of grain growth during liquid‐phase sintering based on crystal growth theories. It is shown that various types of grain growth behavior, which may be normal, abnormal, or stagnant, can appear as a result of the coupling effects of the maximum driving force for growth and the critical driving force for appreciable growth. The predictions are also shown to be valid in the case of solid‐state sintering. A number of experimental observations showing the effect of some critical processing parameters have been found to be in excellent agreement with the predictions. Principles of microstructure development (grain growth control) during sintering are suggested. In addition, the effect of the interface structure on densification is briefly described and discussed.

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Section: Theoretical Background: Prediction Of Grain Growth Behaviormentioning

confidence: 81%

Microstructural Evolution During Sintering with Control of the Interface Structure

Kang

Lee

2009

Journal of the American Ceramic Society

139

117

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“…. In solid/liquid two‐phase systems, theoretical and experimental studies suggested that the growth of partially faceted grains is governed by the migration of facets.…”

Section: Microstructure Evolution In Polycrystals: Model and Principlementioning

confidence: 99%

Solid‐State Conversion of Single Crystals: The Principle and the State‐of‐the‐Art

et al. 2015

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Solid‐state conversion of single crystals from polycrystalline materials has the advantages of cost‐effectiveness, chemical homogeneity, and versatility over the conventional melt growth and solution growth methods, particularly for systems with high melting points, incongruent melting, high reactivity (volatility), and phase transformations at high temperature. Nevertheless, for commercial production, this technique has only been successful in a few limited systems, in particular ferroelectric systems. This is mostly because of the difficulty in controlling the microstructure, particularly suppressing grain growth in the polycrystal during its conversion. This article describes the principle and the current status of the solid‐state conversion of single crystals. We first introduce the recently developed principle of microstructural evolution to explain the basis of the microstructure control in polycrystals for solid‐state conversion. We then report recent technical developments in fabricating single crystals by the solid‐state single crystal growth (SSCG) method and their physical properties. The SSCG method is expected to be studied and utilized more widely in fabricating single crystals with complex compositions as a strong alternative to the melt growth and solution growth methods.

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“…13 Also relevant are characteristic EhrlichSchwoebel type lengths associated with additional barriers to round kinks and corners in 2D and to cross step edges and move between facets in 3D. 10,14,15 In general, key exponents describing both temporal scaling and size-scaling of relaxation times differ from macroscale theory. [1][2][3]5,6 Note also that reshaping of 2D epitaxial clusters and pits, or 3D clusters and voids in bulk crystals, is equivalent on the macroscale, 16 but not on the nanoscale.…”

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confidence: 99%

Communication: Diverse nanoscale cluster dynamics: Diffusion of 2D epitaxial clusters

Lai

Evans

Liu

2017

The Journal of Chemical Physics

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The dynamics of nanoscale clusters can be distinct from macroscale behavior described by continuum formalisms. For diffusion of 2D clusters of N atoms in homoepitaxial systems mediated by edge atom hopping, macroscale theory predicts simple monotonic size scaling of the diffusion coefficient, DN ∼ N−β, with β = 3/2. However, modeling for nanoclusters on metal(100) surfaces reveals that slow nucleation-mediated diffusion displaying weak size scaling β < 1 occurs for “perfect” sizes Np = L2 and L(L+1) for integer L = 3,4,… (with unique square or near-square ground state shapes), and also for Np+3, Np+4,…. In contrast, fast facile nucleation-free diffusion displaying strong size scaling β ≈ 2.5 occurs for sizes Np+1 and Np+2. DN versus N oscillates strongly between the slowest branch (for Np+3) and the fastest branch (for Np+1). All branches merge for N = O(102), but macroscale behavior is only achieved for much larger N = O(103). This analysis reveals the unprecedented diversity of behavior on the nanoscale.

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Step‐Energy Barriers and Particle Shape Changes during Coarsening

Cited by 17 publications

References 21 publications

Microstructural Evolution During Sintering with Control of the Interface Structure

Microstructural Evolution During Sintering with Control of the Interface Structure

Solid‐State Conversion of Single Crystals: The Principle and the State‐of‐the‐Art

Communication: Diverse nanoscale cluster dynamics: Diffusion of 2D epitaxial clusters

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