Skip to main content

Sterically Modified Poisson-BoltzmannEquation

  • Chapter
  • First Online:
Ion Correlations at Electrified Soft Matter Interfaces

Part of the book series: Springer Theses ((Springer Theses))

  • 504 Accesses

Abstract

Steric effects in charged soft-matter play important roles in numerous settings such as colloidal suspensions and greatly influence the behavior of macromolecular ions in solution.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Stern, O.: Z. Elekt. Angew. Phys. Chem. 30, 508 (1924)

    Google Scholar 

  2. Kjellander, R., kesson, T.A., Jönsson, B., Marčelja, S.: Double layer interactions in mono- and divalent electrolytes: A comparison of the anisotropic hnc theory and monte carlo simulations. J. Chem. Phys. 97(2), 1424–1431 (1992)

    Google Scholar 

  3. Kjellander, R., Marcelja, S.: Double-layer interaction in the primitive model and the corresponding Poisson-Boltzmann description. J. Phys. Chem. 90(7), 1230–1232 (1986)

    Article  Google Scholar 

  4. Ninham, B.W., Parsegian, V.A.: Electrostatic potential between surfaces bearing ionizable groups in ionic equilibrium with physiologic saline solution. J. Theor. Biol. 31(3), 405–428 (1971)

    Article  Google Scholar 

  5. Attard, P., Mitchell, D.J., Ninham, B.W.: Beyond Poisson-Boltzmann: images and correlations in the electric double layer. i. counterions only. J. Chem. Phys. 88(8), 4987–4996 (1988)

    Article  ADS  Google Scholar 

  6. Attard, P., Mitchell, D.J., Ninham, B.W.: Beyond Poisson-Boltzmann: images and correlations in the electric double layer. ii. symmetric electrolyte. J. Chem. Phys. 89(7), 4358–4367 (1988)

    Article  ADS  Google Scholar 

  7. Antypov, D., Barbosa, M., Holm, C.: Incorporation of excluded-volume correlations into poisson-boltzmann theory. Phys. Rev. E 71(6), 061106 (2005)

    Article  ADS  Google Scholar 

  8. Wernersson, E., Kjellander, R., Lyklema, J.: Charge inversion and ion ion correlation effects at the mercury/aqueous mgso4 interface: toward the solution of a long-standing issue. J. Phys. Chem. C 114, 1849–1866 (2010)

    Article  Google Scholar 

  9. Borukhov, I., Andelman, D, Orland, H.: Adsorption of large ions from an electrolyte solution: a modified Poisson-Boltzmann equation. Electrochim. Acta 46, 221–229 (2000)

    Google Scholar 

  10. Borukhov, I., Andelman, D., Orland, H.: Steric effects in electrolytes: a modified Poisson-Boltzmann equation. Phys. Rev. Lett. 79, 435 (1997)

    Google Scholar 

  11. Stratonovich, R.L.: On a method of calculating quantum distribution functions. Sov. Phys. Doklady 2, 416 (1958)

    Google Scholar 

  12. Peskin, M.E., Schroeder, D.V.: Introduction to Quantum Field Theory. Addison-Wesley Advanced Book Program, Reading, MA (1995)

    Google Scholar 

  13. Zinn-Justin, J.: Quantum Field Theory and Critical Phenomena. Oxford University Press, Oxford (2002)

    Google Scholar 

  14. Chu, V.B., Bai, Y., Lipfert, J., Herschlag, D., Doniach, S.: Evaluation of ion binding to dna duplexes using a size-modified Poisson-Boltzmann theory. Biophys. J. 93(9), 3202–3209 (2007)

    Article  Google Scholar 

  15. Sofroniu, M., Knapp, R.: Advanced Numerical Differential Equation Solving In Mathematica. Wolfram Mathematica Tutorial Collection. Wolfram Research, Inc., Champaign, IL (2008)

    Google Scholar 

  16. Schmickler, W.: Interfacial Electrochemistry. Oxford University Press, Oxford (1996)

    Google Scholar 

  17. Luo, G., Malkova, S., Yoon, J., Schultz, D.G., Lin, B., Meron, M., Benjamin, I., Vanysek, P., Schlossman, M.L.: Ion distributions near a liquid-liquid interface. Science 311, 216–218 (2006)

    Article  ADS  Google Scholar 

  18. Hou, B.: Ion Distributions at Electrified Liquid-Liquid Interfaces: An agreement between X-ray reflectivity analysis and macroscopic measurements. Doctoral dissertation, University of Illinois at Chicago (2011)

    Google Scholar 

  19. Marcus, Y.: Ionic radii in aqueous solutions. Chem. Rev. 88(8), 1475–1498 (1988)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nouamane Laanait .

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Laanait, N. (2013). Sterically Modified Poisson-BoltzmannEquation. In: Ion Correlations at Electrified Soft Matter Interfaces. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-00900-1_5

Download citation

Publish with us

Policies and ethics