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• W1968909043 abstract "This paper describes a kinetic theory of the crystallization of nanoparticles, where nanoparticles are dissolving and crystals are forming in solution. The theory assumes that a crystal nucleates only on a nanoparticle, the crystal stops growing at a certain size, and the concentration of metal ion in solution is close to the solubility of the nanoparticles. On the basis of these assumptions, we have derived integral equations for R(t) (crystal ratio as a function of time). We have solved the integral equations with a successive approximation method. When time t is less than tinflec (=rmax/G, rmax = maximum radius of crystal, G = growth rate of crystal), R(t) is close to the 4th power of time; when t is larger than tinflec, R(t) is close to an exponential-type function. The kinetic theory has been applied successfully to the transformation of ferrihydrite nanoparticles to goethite or hematite crystals and the crystallization of TiO2 and ZrO2. The theory shows that the nucleation rate of the crystal essentially determines the crystallization rate and that an induction period is observed when the growth of the crystal is slow." @default.
• W1968909043 created "2016-06-24" @default.
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• W1968909043 date "2010-06-30" @default.
• W1968909043 modified "2023-10-06" @default.
• W1968909043 title "Kinetic Theory of Crystallization of Nanoparticles" @default.
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• W1968909043 doi "https://doi.org/10.1021/cg100488t" @default.
• W1968909043 hasPublicationYear "2010" @default.
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