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Electrostatic and Molecular Interaction between a Charged Spherical Particle and a Charged Membrane Pore: The Case of Given Surface Charge Densities

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Abstract

Based on the modified Derjaguin approach and the DLVO theory, an analytical expression has been obtained for the potential of electrostatic and molecular interaction of a charged spherical particle with a membrane pore rounded at the entrance. Profiles of the interaction potential of the “membrane pore–particle–electrolyte solution” system have been constructed for real values of the governing parameters. Relationships have been obtained that make it possible to optimize the level of the potential barrier in terms of these parameters and thereby improve the selective properties and productivity of the membranes to be fabricated. In particular, the maximum of the barrier can be displaced towards the bulk solution—the smaller the pore curvature radius, the greater is the displacement.

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Funding

This work was supported by the Russian Science Foundation, project no. 20-19-00670.

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Authors and Affiliations

  1. National University of Oil and Gas “Gubkin University”, 119991, Moscow, Russia

    A. N. Filippov & T. S. Philippova

Authors
  1. A. N. Filippov
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  2. T. S. Philippova
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Correspondence to A. N. Filippov.

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The authors declare that there is no conflict of interest.

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Translated by S. Zatonsky

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Filippov, A.N., Philippova, T.S. Electrostatic and Molecular Interaction between a Charged Spherical Particle and a Charged Membrane Pore: The Case of Given Surface Charge Densities. Membr. Membr. Technol. 3, 15–23 (2021). https://doi.org/10.1134/S2517751621010066

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  • DOI: https://doi.org/10.1134/S2517751621010066

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