### Abstract

In a previous work (J. Mol. Struct.: THEOCHEM, 769,165 (2006)) we have addressed a detailed study of the set of parameters that must be used within the scope of DLVO theory for a calculation of stability ratios of colloidal particles through an approximate expression. The approximate form of the equation that defines of the stability ratio W, derived in the mentioned work above, requires as much of the knowledge of the maximum of interaction potential energy between particles, V_{max}, and its position //max, as well as the absolute value of the second derivative of interaction potential energy with respect to position at H_{max}, \V"(H_{max})\. Since these maximum parameters come determined for a concentration defined of the electrolyte is possible to establish the dependence of those with such concentration by letting the fitting constants depend on superficial potential, Hamaker constant and size of the particles. In this work we presented correlations between the maximum parameters (V_{max} and H _{max}) and the univalente symmetrical electrolyte concentration for a system of two spherical colloidal particles with constant of Hamaker, superficial potential and size well-known. The curves of energy of interaction as a function of the distance of separation of particle surface were obtained for two models of DLVO potentials. For appropriate conditions, the reported correlations give equations that are independent of DLVO potential model and can be used to evaluate the approximated stability ratio for systems of identical particles (homocoagulation) as well as the particle systems with different superficial potentials (heterocoagulation). The approximate stability ratios calculated with these correlations can be determined with an error smaller than 5% compared to obtain from the DLVO potential curves.

Original language | English (US) |
---|---|

Pages (from-to) | 241-256 |

Number of pages | 16 |

Journal | Journal of Computational Methods in Sciences and Engineering |

Volume | 9 |

Issue number | 4-6 |

DOIs | |

State | Published - 2009 |

Externally published | Yes |

### Fingerprint

### Keywords

- DLVO interaction potential
- Heterocoagulation
- Homocoagulation
- Maximum interaction potential energy
- Position of maximum
- Stability ratio

### ASJC Scopus subject areas

- Computer Science Applications
- Computational Mathematics
- Engineering(all)

### Cite this

*Journal of Computational Methods in Sciences and Engineering*,

*9*(4-6), 241-256. https://doi.org/10.3233/JCM-2009-0300

**Correlations between the maximum parameters of DLVO interaction energy curves and the electrolyte concentration.** / Guaregua, J. A.; Squitieri, E.; Mujica, Vladimiro.

Research output: Contribution to journal › Article

*Journal of Computational Methods in Sciences and Engineering*, vol. 9, no. 4-6, pp. 241-256. https://doi.org/10.3233/JCM-2009-0300

}

TY - JOUR

T1 - Correlations between the maximum parameters of DLVO interaction energy curves and the electrolyte concentration

AU - Guaregua, J. A.

AU - Squitieri, E.

AU - Mujica, Vladimiro

PY - 2009

Y1 - 2009

N2 - In a previous work (J. Mol. Struct.: THEOCHEM, 769,165 (2006)) we have addressed a detailed study of the set of parameters that must be used within the scope of DLVO theory for a calculation of stability ratios of colloidal particles through an approximate expression. The approximate form of the equation that defines of the stability ratio W, derived in the mentioned work above, requires as much of the knowledge of the maximum of interaction potential energy between particles, Vmax, and its position //max, as well as the absolute value of the second derivative of interaction potential energy with respect to position at Hmax, \V"(Hmax)\. Since these maximum parameters come determined for a concentration defined of the electrolyte is possible to establish the dependence of those with such concentration by letting the fitting constants depend on superficial potential, Hamaker constant and size of the particles. In this work we presented correlations between the maximum parameters (Vmax and H max) and the univalente symmetrical electrolyte concentration for a system of two spherical colloidal particles with constant of Hamaker, superficial potential and size well-known. The curves of energy of interaction as a function of the distance of separation of particle surface were obtained for two models of DLVO potentials. For appropriate conditions, the reported correlations give equations that are independent of DLVO potential model and can be used to evaluate the approximated stability ratio for systems of identical particles (homocoagulation) as well as the particle systems with different superficial potentials (heterocoagulation). The approximate stability ratios calculated with these correlations can be determined with an error smaller than 5% compared to obtain from the DLVO potential curves.

AB - In a previous work (J. Mol. Struct.: THEOCHEM, 769,165 (2006)) we have addressed a detailed study of the set of parameters that must be used within the scope of DLVO theory for a calculation of stability ratios of colloidal particles through an approximate expression. The approximate form of the equation that defines of the stability ratio W, derived in the mentioned work above, requires as much of the knowledge of the maximum of interaction potential energy between particles, Vmax, and its position //max, as well as the absolute value of the second derivative of interaction potential energy with respect to position at Hmax, \V"(Hmax)\. Since these maximum parameters come determined for a concentration defined of the electrolyte is possible to establish the dependence of those with such concentration by letting the fitting constants depend on superficial potential, Hamaker constant and size of the particles. In this work we presented correlations between the maximum parameters (Vmax and H max) and the univalente symmetrical electrolyte concentration for a system of two spherical colloidal particles with constant of Hamaker, superficial potential and size well-known. The curves of energy of interaction as a function of the distance of separation of particle surface were obtained for two models of DLVO potentials. For appropriate conditions, the reported correlations give equations that are independent of DLVO potential model and can be used to evaluate the approximated stability ratio for systems of identical particles (homocoagulation) as well as the particle systems with different superficial potentials (heterocoagulation). The approximate stability ratios calculated with these correlations can be determined with an error smaller than 5% compared to obtain from the DLVO potential curves.

KW - DLVO interaction potential

KW - Heterocoagulation

KW - Homocoagulation

KW - Maximum interaction potential energy

KW - Position of maximum

KW - Stability ratio

UR - http://www.scopus.com/inward/record.url?scp=78650586381&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650586381&partnerID=8YFLogxK

U2 - 10.3233/JCM-2009-0300

DO - 10.3233/JCM-2009-0300

M3 - Article

VL - 9

SP - 241

EP - 256

JO - Journal of Computational Methods in Sciences and Engineering

JF - Journal of Computational Methods in Sciences and Engineering

SN - 1472-7978

IS - 4-6

ER -