Importance of the two-step crystal growth model

Karpiński, Piotr

doi:10.1016/0009-2509(85)80009-9

Cited by 53 publications

(32 citation statements)

References 12 publications

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“…It should be noted that the coexistence of K 2 CO 3 , which is highly soluble, is assumed to have no effect on the solubility of KHCO 3 . The variable k g represents the two stages of the crystal growth process following the formation of stable nuclei: bulk diffusion to the crystal surface and surface reaction or integration (Karpinski, 1985). The value of k g is a function of temperature following an Arrhenius relationship (Garside et al, 1982):…”

Section: Theory Of Crystallization Kineticsmentioning

confidence: 99%

Kinetic behavior of potassium bicarbonate crystallization in a carbonate-based CO2 absorption process

Wang

2015

Chemical Engineering Research and Design

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Section: Theory Of Crystallization Kineticsmentioning

confidence: 99%

Kinetic behavior of potassium bicarbonate crystallization in a carbonate-based CO2 absorption process

Wang

2015

Chemical Engineering Research and Design

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“…According to the two-step model [12], the overall growth process is divided into a mass transfer step with a related diffusion coefficient (k d ) and a surface integration process with its corresponding coefficient (k r ). The relation among k g , k d , and k r is:…”

Section: Crystallization Kinetic Expressionsmentioning

confidence: 99%

Effect of Solvent Composition on Crystallization Process of Ascorbic Acid

Omar

2006

Chem Eng & Technol

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The crystal growth kinetics of ascorbic acid in water and in the solvent systems water/ethanol, water/methanol, and water/ propanol is determined by means of seeded isothermal batch crystallization experiments. The measurements are correlated by a power low equation of the form (G = k g r n ). The composition of the solvent system is found to have a significant influence on the kinetic parameters of growth of ascorbic acid. An increase in growth rate in the presence of alcoholic solvents (20 wt %) is measured compared to experiments with pure water. The thermodynamic effect of the solvent on the growth kinetics is approached by the UNIFAC method. The kinetic effect of solvent composition is explained using the two-step model. Both thermodynamic and kinetic analyses give the same result: The addition of alcoholic solvents (20 wt % ethanol, methanol, and propanol) to the ascorbic acid/water system slightly reduces the diffusion rate and significantly accelerates the surface integration process.

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“…The dependence of growth rate on supersaturation can be It is generally accepted that the growth process consists of two Bulk diffusion stages (Mullin, 1972;Karpinski, 1985):…”

Section: Linear Growth Ratementioning

confidence: 99%

Crystallization kinetics of potassium sulfate in an MSMPR agitated vessel

1986

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New data are reported on the crystallization kinetics of potassium sulfate solutions in a laboratory-scale continuous MSMPR cooling crystallizer. Population density distributions determined down to 1 pm by laser light scattering and sieve analysis are corrected for the effects of crystal agglomeration and shape variation and are used to determine accurate growth and nucleation rates. The crystal growth rate is strongly size-dependent, second order with respect to supersaturation, with a high overall activation energy. The surface reaction contribution to the growth process is comparatively large, with a diffusion dependency that increases with crystal size and temperature. While largely consistent with most previous studies, a marked deviation is detected in growth rates at small sizes at which very strong curvature is exhibited in the population density distributions. Secondary nucleation rates vary linearly with suspension density, and the zero size order and activation energy are similar to those of growth but significantly are both much lower at a larger effective size. These observations support the view that growth rate dispersion may be responsible in large part for the substantial variation in reported secondary nucleation kinetics.

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Importance of the two-step crystal growth model

Cited by 53 publications

References 12 publications

Kinetic behavior of potassium bicarbonate crystallization in a carbonate-based CO2 absorption process

Kinetic behavior of potassium bicarbonate crystallization in a carbonate-based CO2 absorption process

Effect of Solvent Composition on Crystallization Process of Ascorbic Acid

Crystallization kinetics of potassium sulfate in an MSMPR agitated vessel

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