2014
DOI: 10.1016/j.jcis.2013.12.018
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A generalized diffusion model for growth of nanoparticles synthesized by colloidal methods

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Cited by 39 publications
(34 citation statements)
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“…More complete models have been developed that predict a wider possible range of growth behaviors dependent on, for example, competing diffusion and adsorption rates of growth species. 29, 30 Nucleation and growth models have long been established in the limiting cases of diffusion and interface reaction controlled growth 30 , and more recently in our fully coupled treatment bridging the gap between these two limits 29 . Diffusivity, reaction coefficient, and surface energy data are not always available for these systems and experimental measurements of these parameters are not always feasible.…”
Section: Introductionmentioning
confidence: 99%
“…More complete models have been developed that predict a wider possible range of growth behaviors dependent on, for example, competing diffusion and adsorption rates of growth species. 29, 30 Nucleation and growth models have long been established in the limiting cases of diffusion and interface reaction controlled growth 30 , and more recently in our fully coupled treatment bridging the gap between these two limits 29 . Diffusivity, reaction coefficient, and surface energy data are not always available for these systems and experimental measurements of these parameters are not always feasible.…”
Section: Introductionmentioning
confidence: 99%
“…In this case, total diffusion flux through surface of nuclei is (Wen et al 2014) In this case, total diffusion flux through surface of nuclei is (Wen et al 2014)…”
Section: Chaptermentioning
confidence: 99%
“…Using the first approach to calculate the elastic parameters of metal nanoparticles, the authors conducted research. These studies were previously published in [10,11]. The second approach is an alternative, provides for the construction of the calculation process in the "bottom -up" direction and relies on the kinetic theory and the virial theorem [29,30].…”
Section: Calculation Of Stress Tensors and Deformationsmentioning
confidence: 99%
“…Mathematical modeling also allows us to discover and predict the potentially new and promising properties of these materials [4][5][6][7]. Many physical characteristics of nanoobjects, such as thermal conductivity coefficient [8,9], diffusion coefficient [10,11] and electrical conductivity [12,13], belong to macroparameters. Strain and stress tensors occupy a special place, since these values determine the deformation and failure of nanomaterials [14][15][16].…”
mentioning
confidence: 99%