Journal of the Korean Physical Society

, Volume 74, Issue 1, pp 30–35 | Cite as

Electrostatic Adsorption of Uniformly Charged Sphere Ions Confined between Two Charged Plates

  • Seanea Jang
  • Ghi Ryang ShinEmail author
  • Soon-Chul Kim


The theoretical model, which is based both on the modified fundamental-measure theory for the hard-sphere contribution and on the mean-field approximation for the cross correlation between the hard sphere contribution and Coulomb interaction, has been developed for studying the electrostatic adsorption of uniformly charged sphere ions. The Poisson equation by ions carrying charges that are spatially separated has been solved. The present theory shows an excellent agreement with the simulation data even for the large hard-sphere ions and is better than the modified Poisson- Boltzmann model. The calculated result shows that (i) the local particle and charge densities are strongly related to the charge distribution of ions, and that (ii) at large and strongly surfaceassociated ion the cross correlation between the hard sphere contribution and Coulomb interaction as well as the hard-sphere contribution becomes important, whereas the hard sphere contribution of charged ions relatively dominants at the weakly surface-associated ion.


Charged soft-sphere ions Charged hard-sphere ions Density functional theory Modified Poisson-Boltzmann model 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    I. Szilagyi, A. Sadeghpour and M. Borkovec, Langmuir 28, 6211 (2012)CrossRefGoogle Scholar
  2. 1a.
    A. Sadeghpour, I. Szilagyi and M. Borkovec, Z. Phys. Chem. 226, 597 (2012).CrossRefGoogle Scholar
  3. [2]
    E. F. Marques, O. Regev, A. Khan, M. Miguel and B. Lindman, Macromolecules. 32, 6626 (1999)ADSCrossRefGoogle Scholar
  4. 2a.
    F. Bordi, C. Cametti, S. Sennato and D. Viscomi, J. Chem. Phys. 126, 024902 (2007).ADSCrossRefGoogle Scholar
  5. [3]
    K. Bohinc, G. V. Bossa, S. Gavryushov and S. May, J. Chem. Phys. 145, 234901 (2016).ADSCrossRefGoogle Scholar
  6. [4]
    M. Hatlo, K. Bohinc and L. Lue, J. Chem. Phys. 132, 114102 (2010)ADSCrossRefGoogle Scholar
  7. 4a.
    K. Bohinc, J. Grime and L. Lue, Soft Matter 8, 5679 (2012)ADSCrossRefGoogle Scholar
  8. 4b.
    K. Bohinc, J. Rescic and L. Lue, Soft Matter 12, 4397 (2016).ADSCrossRefGoogle Scholar
  9. [5]
    S. Spada, S. Gavryushov and K. Bohinc, Journal of Molecular Liquids. (2018) Scholar
  10. [6]
    S. Jang, G. R. Shin and S-C. Kim, J. Chem. Phys. 147, 036101 (2017).ADSCrossRefGoogle Scholar
  11. [7]
    R. Roth, R. Evans, A. Lang and G. J. Kahl, J. Phys.: Condens. Matter. 14, 12063 (2002).ADSGoogle Scholar
  12. [8]
    Y. Yu and J. Wu, J. Chem. Phys. 117, 10156 (2002); 118, 3835 (2003).ADSCrossRefGoogle Scholar
  13. [9]
    E. Waisman and J. L. Lebowitz, J. Chem. Phys. 56, 3086 (1972)ADSCrossRefGoogle Scholar
  14. 9a.
    G. Rickayzen, Mol. Phys. 97, 721 (1999).ADSCrossRefGoogle Scholar
  15. [10]
    L. Blum, Mol. Phys. 30, 1529 (1975)ADSCrossRefGoogle Scholar
  16. 10a.
    L. Blum and J. S. Høye, J. Phys. Chem. 81, 1311 (1977).CrossRefGoogle Scholar
  17. [11]
    K. Hiroike, Mol. Phys. 33, 1195 (1977).ADSMathSciNetCrossRefGoogle Scholar
  18. [12]
    M. S. Wertheim, Phys. Rev. Letts, 10, 321 (1963).ADSMathSciNetCrossRefGoogle Scholar
  19. [13]
    E. Thiele, J. Chem. Phys. 39, 474 (1963).ADSCrossRefGoogle Scholar
  20. [14]
    Y. Rosenfeld, Phys. Rev. A 35, 938 (1987)ADSCrossRefGoogle Scholar
  21. 14a.
    J. Stein, D. Shalitin and Y. Rosenfeld, ibid. 37, 4854 (1988).ADSGoogle Scholar
  22. [15]
    A. R. Denton, Phys. Rev. E 67, 011804 (2003).ADSCrossRefGoogle Scholar
  23. [16]
    D. Frydel and Y. Levin, J. Chem. Phys. 138, 174901 (2013)ADSCrossRefGoogle Scholar
  24. 16a.
    D. Frydel, J. Chem. Phys. 145, 184703 (2016).ADSCrossRefGoogle Scholar
  25. [17]
    H. M. Manzanilla-Granados, F. Jiménez-ángeles and M. Lozada-Cassou, J. Phys. Chem. B 115, 12094 (2011)CrossRefGoogle Scholar
  26. 17a.
    H. Manzanilla-Granados and M. Lozada-Cassou, J. Phys. Chem. B 117, 11812 (2013).CrossRefGoogle Scholar
  27. [18]
    J. González-Calderón, M. Chávez-Páez, E. González-Tovar and M. Lozada-Cassou, (2017) arXiv: 1712. 00467v1[cond-mat.soft].Google Scholar

Copyright information

© The Korean Physical Society 2019

Authors and Affiliations

  1. 1.Department of PhysicsAndong National UniversityAndongKorea

Personalised recommendations