Full analytical solution of a nucleation-growth type kinetic model of nanoparticle formation

DOI10.1007/S10910-018-0975-5zbMath1414.92240OpenAlexW2898741254WikidataQ128977867 ScholiaQ128977867MaRDI QIDQ2419184

Rebeka Szabó, Gábor Lente

Publication date: 29 May 2019

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-018-0975-5

zbMATH Keywords

momentsanalytical solutionkineticsnanoparticle growth

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (2)

Lewy body radius growth: hypothesis of the cube root of time dependency ⋮ General nucleation-growth type kinetic models of nanoparticle formation: possibilities of finding analytical solutions

Cites Work

• Simple algebraic solutions to the kinetic problems of triangle, quadrangle and pentangle reactions
• Non-smooth feedback control for Belousov-Zhabotinskii reaction-diffusion equations: semi-analytical solutions
• Time-dependent concentrations of reagents and products involved in the dissociation-recombination process
• Mathematical modelling for equilibrium configurations of concentric gold nanoparticles
• General formulae for interacting spherical nanoparticles and fullerenes
• Quantitative study of BSA coating silica nanoparticle
• Analytical solutions for the rate equations of irreversible two-step consecutive processes with mixed second order later steps

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