Skip to main content
SpringerLink
Log in

The three-wire model and Lichtenecker’s equation for calculations of the conductivity of ion-exchange columns

  • Physical Chemistry of Separation Processes. Chromatography
  • Published:
Russian Journal of Physical Chemistry A Aims and scope Submit manuscript

Abstract

The approaches to the evaluation of the conductivity of ion-exchange columns are analyzed. Specifically, the three-wire model and Lichtenecker’s power equation are examined. The problem of how the coefficient of ion-exchange column filling and the parameter characterizing the state of conducting phases with respect to the current flow are related to the parameters involved in the equations of the three-wire model is treated theoretically. The common points and the coincident portions of the functions obtained in each of the approaches and some discrepancies between the functions are found. The discrepancies are determined by the special features of the models under consideration.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. V. I. Zabolotskii and V. V. Nikonenko, Ion Transport in Membranes (Nauka, Moscow, 1996) [in Russian].

    Google Scholar 

  2. G. N. Dul’nev and V. N. Novikov, Transport Processes in Inhomogeneous Media (Energiya, Moscow, 1991) [in Russian].

    Google Scholar 

  3. K. Lichtenecker, Phys. Z. 27, 115 (1926).

    CAS  Google Scholar 

  4. K. Lichtenecker and K. Rother, Phys. Z. 32, 255 (1931).

    Google Scholar 

  5. N. P. Gnusin and V. D. Grebenyuk, Electrochemistry of Granulated Ion Exchangers (Naukova Dumka, Kiev, 1972) [in Russian].

    Google Scholar 

  6. N. P. Gnusin, V. D. Grebenyuk, and M. V. Pevnitskaya, Electrochemistry of Ion Exchangers (Nauka, Novosibirsk, 1972) [in Russian].

    Google Scholar 

  7. N. P. Gnusin, V. D. Grebenyuk, and A. G. Fomin, Elektrokhimiya 2(4), 479 (1966).

    CAS  Google Scholar 

  8. V. D. Grebenyuk, N. P. Gnusin, and T. Z. Trakhtenberg, Zh. Prikl. Khim. 41(8), 1870 (1968).

    CAS  Google Scholar 

  9. N. P. Gnusin, V. I. Zabolotskii, V. V. Nikonenko, and A. I. Meshechkov, Zh. Fiz. Khim. 54(6), 1518 (1980).

    CAS  Google Scholar 

  10. N. P. Gnusin, O. A. Demina, A. I. Meshechkov, and I. Ya. Tur’yan, Elektrokhimiya 21(2), 1525 (1985).

    CAS  Google Scholar 

  11. N. P. Gnusin and N. P. Berezina, Zh. Fiz. Khim. 69(12), 2129 (1995) [Russ. J. Phys. Chem. 69, (1995)].

    CAS  Google Scholar 

  12. N. P. Gnusin and A. I. Meshechkov, Elektrokhimiya 14(4), 552 (1980).

    Google Scholar 

  13. N. P. Gnusin, N. P. Berezina, V. P. Beketova, and T. A. Merkulova, Elektrokhimiya 4(3), 1712 (1977).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kuban State University, ul. Karla Libknekhta 9, Krasnodar, 350040, Russia

    N. P. Gnusin, N. P. Berezina, N. A. Kononenko, O. A. Demina & L. A. Annikova

Authors
  1. N. P. Gnusin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. P. Berezina
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. A. Kononenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. O. A. Demina
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. L. A. Annikova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to N. P. Berezina.

Additional information

Original Russian Text © N.P. Gnusin, N.P. Berezina, N.A. Kononenko, O.A. Demina, L.A. Annikova, 2009, published in Zhurnal Fizicheskoi Khimii, 2009, Vol. 83, No. 1, pp. 122–126.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gnusin, N.P., Berezina, N.P., Kononenko, N.A. et al. The three-wire model and Lichtenecker’s equation for calculations of the conductivity of ion-exchange columns. Russ. J. Phys. Chem. 83, 107–110 (2009). https://doi.org/10.1134/S003602440901021X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S003602440901021X

Keywords

Search

Navigation