A general algorithm using Mathematica 2.0 for calculting divo potential interactions and stability ratios in spherical colloidal particle systems

J. A. Guaregua; E. Squitieri; V. Mujica

doi:10.3233/JCM-2009-0299

A general algorithm using Mathematica 2.0 for calculting divo potential interactions and stability ratios in spherical colloidal particle systems

J. A. Guaregua, E. Squitieri, V. Mujica

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

A general and numerical algorithm using Mathematica v.2.0 is presented for calculating the stability ratios and interaction potential energy between two spherical colloidal particles according to the DLVO theory. The algorithm is applicable to electrolytes with any number of ionic species having any valence state and superficial potentials on the particles. The algorithm is versatile to allow change the values of the parameters that characterizes the colloidal system and is suitable to plot the stability curves for a given set of radii, Hamaker constant, superficial potential, electrolyte concentration range, and electrolyte valence. The algorithm was implemented on two models of DLVO interaction potential and is appropriate for analysis of coagulation tendencies of spherical colloidal particles.

Original language	English (US)
Pages (from-to)	223-240
Number of pages	18
Journal	Journal of Computational Methods in Sciences and Engineering
Volume	9
Issue number	4-6
DOIs	https://doi.org/10.3233/JCM-2009-0299
State	Published - 2009
Externally published	Yes

Keywords

Algorithm
Colloidal particle
DLVO interaction potential
Mathematica code
Stability ratio

ASJC Scopus subject areas

General Engineering
Computer Science Applications
Computational Mathematics

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10.3233/JCM-2009-0299

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abstract = "A general and numerical algorithm using Mathematica v.2.0 is presented for calculating the stability ratios and interaction potential energy between two spherical colloidal particles according to the DLVO theory. The algorithm is applicable to electrolytes with any number of ionic species having any valence state and superficial potentials on the particles. The algorithm is versatile to allow change the values of the parameters that characterizes the colloidal system and is suitable to plot the stability curves for a given set of radii, Hamaker constant, superficial potential, electrolyte concentration range, and electrolyte valence. The algorithm was implemented on two models of DLVO interaction potential and is appropriate for analysis of coagulation tendencies of spherical colloidal particles.",

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AU - Guaregua, J. A.

AU - Squitieri, E.

AU - Mujica, V.

PY - 2009

Y1 - 2009

N2 - A general and numerical algorithm using Mathematica v.2.0 is presented for calculating the stability ratios and interaction potential energy between two spherical colloidal particles according to the DLVO theory. The algorithm is applicable to electrolytes with any number of ionic species having any valence state and superficial potentials on the particles. The algorithm is versatile to allow change the values of the parameters that characterizes the colloidal system and is suitable to plot the stability curves for a given set of radii, Hamaker constant, superficial potential, electrolyte concentration range, and electrolyte valence. The algorithm was implemented on two models of DLVO interaction potential and is appropriate for analysis of coagulation tendencies of spherical colloidal particles.

AB - A general and numerical algorithm using Mathematica v.2.0 is presented for calculating the stability ratios and interaction potential energy between two spherical colloidal particles according to the DLVO theory. The algorithm is applicable to electrolytes with any number of ionic species having any valence state and superficial potentials on the particles. The algorithm is versatile to allow change the values of the parameters that characterizes the colloidal system and is suitable to plot the stability curves for a given set of radii, Hamaker constant, superficial potential, electrolyte concentration range, and electrolyte valence. The algorithm was implemented on two models of DLVO interaction potential and is appropriate for analysis of coagulation tendencies of spherical colloidal particles.

KW - Algorithm

KW - Colloidal particle

KW - DLVO interaction potential

KW - Mathematica code

KW - Stability ratio

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A general algorithm using Mathematica 2.0 for calculting divo potential interactions and stability ratios in spherical colloidal particle systems

Abstract

Keywords

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