Physical principles of the formation of a nanoparticle electric double layer in metal hydrosols

  • A. P. GavrilyukEmail author
  • I. L. Isaev
  • V. S. Gerasimov
  • S. V. Karpov
Original Contribution


The Brownian dynamics method is employed to study the formation of an electrical double layer (EDL) on the metal nanoparticle (NP) surface in hydrosols during adsorption of electrolyte ions from the interparticle medium. Also studied is the charge accumulation by NPs in the Stern layer. To simulate the process of the formation of EDL, we took into account the effect of image forces and specific adsorption, dissipative and random forces, and the degree of hydration of adsorbed ions on the EDL structure. The employed model makes it possible to determine the charge of NPs and the structure of EDL. For the first time, the charge of both the diffuse part of EDL and the dense Stern layer has been determined. A decrease in the electrolyte concentration (below c < 0.1 mol/l) has been found to result in dramatic changes in the formation of the Stern layer.

Graphical abstract


Nanoparticle Adsorption layer Elastic deformation Coagulation kinetics Elasticity modulus 


Funding information

The reported research was funded by the Russian Foundation for Basic Research and the government of the Krasnoyarsk territory, Krasnoyarsk Regional Fund of Science, grant No 18-42-243023, the RF Ministry of Education and Science, the State contract with Siberian Federal University for scientific research in 2017–2019.

Compliance with Ethical Standards

Conflict of interests

The authors confirm that there are no known conflicts of interest associated with this publication.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of Computational Modeling SB RASKrasnoyarskRussia
  2. 2.Siberian Federal UniversityKrasnoyarskRussia
  3. 3.L. V. Kirensky Institute of PhysicsFederal Research Center KSC SB RASKrasnoyarskRussia
  4. 4.Siberian State University of Science and TechnologyKrasnoyarskRussia

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