Skip to main content
Log in

Electrolytic conductance for Gurney-Friedman models

  • Published:
Journal of Solution Chemistry Aims and scope Submit manuscript

Abstract

Starting from hierarchy of diffusion equations for the distribution functions in coordinate space, the general theory of conductance is developed and applied to Gurney-Friedman models for ion-ion interactions. The interaction potentials used consist of a hard core with Pauling radii and a Gurney cosphere with a steplike interaction law converging to the Coulomb law outside the Gurney sphere. For the simplest case of step potentials explicit formulas for the conductivity are given. For higher concentrations an integral equation corresponding to the mean-spherical approximation in equilibrium is proposed. The theory is compared with experimental data for 17 alkali halide electrolytes by fitting the Gurney parameters. It is shown that the variant of the theory which includes the feedback of the relaxation and electrophoretic forces describes also the data for associating 2-2 electrolytes.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. H. L. Friedman and W. T. Dale, Electrolyte Solutions at Equilibrium, inTheoretical Chemistry, Vol. 5, B. J. Berne, ed. (Plenum Press, New York, 1977); H. L. Friedman, C. V. Krishnan, and L. P. Hwang, Solute-Solute Interactions, inStructure of Water and Aqueous Solutions (Verlag Chemie, Marburg, 1974).

    Google Scholar 

  2. H. C. Anderson and D. Chandler,J. Chem. Phys. 57, 1918 (1972); J. S. Høye and G. Stell,J. Chem. Phys. 67, 524 (1977).

    Google Scholar 

  3. E. Waisman and J. L. Lebowitz,J. Chem. Phys. 52, 4307 (1970);56, 3086 (1972);56, 3093 (1972).

    Google Scholar 

  4. L. Blum,Mol. Phys. 30, 1529 (1975); L. Blum and J. S. Høye,J. Phys. Chem. 81, 1311 (1977); R. Triolo, J. R. Grigera, and L. Blum,J. Phys. Chem. 80, 1858 (1976).

    Google Scholar 

  5. J. C. Rasaiah and H. L. Friedman,J. Phys. Chem. 72, 3352 (1968);J. Chem. Phys. 48, 2742 (1968); J. C. Rasaiah,J. Chem. Phys. 52, 704 (1970).

    Google Scholar 

  6. P. S. Ramanathan and H. L. Friedman,J. Chem. Phys. 54, 1086 (1971); H. L. Friedman, A. Smitherman, and R. DeSantis,J. Solution Chem. 2, 59 (1973).

    Google Scholar 

  7. D. Kremp, H. Ulbricht, and G. Kelbg,Z. Phys. Chem. (Leipzig) 240, 65, 80 (1969);

    Google Scholar 

  8. D. Kremp,Ann. Phys. (Leipzig) 18, 237, 246 (1966).

    Google Scholar 

  9. M. C. Justice and J. C. Justice, Colloques Internationaux du C.N.R.S., No. 246,L'Eau et les Systemes Biologiques, Paris (1975), p. 243.

  10. J. C. Justice and M. C. Justice,Faraday Discuss. Chem. Soc., No. 64 (1977).

  11. J. C. Justice and W. Ebeling, J. Solution Chem., to be published.

  12. W. Ebeling and R. Feistel,Chem. Phys. Lett. 36, 404 (1975); W. Ebeling, R. Feistel, and D. Geisler,Z. Phys. Chem. (Leipzig) 257, 337 (1976).

    Google Scholar 

  13. R. Sändig, R. Feistel, H. Ulbricht, C. Baudisch, and H. Künstner,Wiss. Z. Univ. Rostock 26, 635 (1977); W. Ebeling, D. Geisler, W. D. Kraeft, and R. Sändig,Wiss. Z. Univ. Rostock 23, 903 (1974).

    Google Scholar 

  14. W. Ebeling, R. Feistel, G. Kelbg, and R. Sändig,J. Non-Equilib. Thermodyn. 3, 11 (1978).

    Google Scholar 

  15. H. L. Friedman,Physica 30, 537 (1964);J. Chem. Phys. 42, 450 (1965).

    Google Scholar 

  16. H. Falkenhagen and W. Ebeling,Phys. Lett. 15, 131 (1965); W. Ebeling,Ann. Phys. (Leipzig) 16, 147 (1965); C. I. Ivanov and W. Ebeling,Acta Phys. Pol. A52, 329 (1977); H. Falkenhagen, W. Ebeling, and H. G. Hertz,Theorie der Elektrolyte (S. Hirzel Verlag, Leipzig, 1971); H. Falkenhagen, W. Ebeling, and W. D. Kraeft, in:Ionic Interactions, Vol. 1, S. Petrucci, ed. (Academic Press, New York, 1971), Chapter 2.

    Google Scholar 

  17. H. Yamakawa:J. Chem. Phys. 53, 436 (1970); B. U. Felderhof,Physica 89A, 373 (1977).

    Google Scholar 

  18. W. Olivares and D. A. McQuarrie,J. Chem. Phys. 65, 3604 (1976).

    Google Scholar 

  19. D. N. Card and J. P. Valleau,J. Chem. Phys. 52, 6232 (1970); B. P. Chassovskikh and P. N. Vorontsov-Velyaminov,Teplofiz. Temp. 14, 379 (1976).

    Google Scholar 

  20. E. Bich, W. Ebeling, and H. Krienke,Z. Phys. Chem. (Leipzig) 257, 549 (1976).

    Google Scholar 

  21. H. Wiechert, H. Krienke, R. Feistel, and W. Ebeling,Z. Phys. Chem. (Leipzig) in press.

  22. J. C. Justice,J. Solution Chem., in press.

  23. R. Sändig, Doctoral Thesis, W. Pieck University, Rostock (1973).

  24. R. Feistel, Doctoral Thesis, W. Pieck University, Rostock (1976); R. Feistel,Z. Phys. Chem. (Leipzig) 259, 369 (1978).

  25. R. M. Fuoss and F. Accascina,Electrolytic Conductance (Interscience Publishers, New York, 1959); R. M. Fuoss,Proc. Nat. Acad. Sci. U.S.A. 71, 4491 (1974); R. M. Fuoss, L. Onsager, and J. F. Skinner,J. Phys. Chem. 69, 2581 (1965); P. C. Carman,J. Phys. Chem. 74, 1653 (1970); J. Barthel, J. C. Justice, and R. Wachter,Z. Phys. Chem. 84, 100 (1973); E. Renard and J. C. Justice,J. Solution Chem. 3, 633 (1974); M. S. Chen and L. Onsager,J. Phys. Chem. 81, 2017 (1977); M. S. Chen,J. Phys. Chem. 81, 2022 (1977); J. Quint and A. Viallard,J. Solution Chem. 7, 137 (1978);7, 525 (1978);7, 533 (1978).

    Google Scholar 

  26. R. L. Kay,J. Am. Chem. Soc. 82, 2099 (1960); R. L. Kay, inElectrolytes, B. Pesce, ed. (Pergamon Press, New York, 1962).

    Google Scholar 

  27. R. Sändig, R. Feistel, J. Einfeldt, and A. Grosch, submitted toZ. Phys. Chemie (Leipzig).

  28. J. Einfeldt, R. Feistel, A. Grosch, and R. Sändig,Wiss. Z. Univ. Rostock 24, 681 (1975); R. Sändig, Manuskript SPUR 122 (1978), Sektion Physik der Wilhelm-Pieck-Universität, Rostock.

    Google Scholar 

  29. A. D. Pethybridge and D. J. Spiers,J. Chem. Soc. Faraday Trans. l 73, 768 (1977).

    Google Scholar 

  30. W. D. Kraeft and W. Ebeling,Z. Phys. Chem. (Leipzig) 240, 141 (1969); W. D. Kraeft and R. Sändig,J. Chim. Phys. 67, 1265 (1970).

    Google Scholar 

  31. W. D. Kraeft and R. Sändig,Z. Phys. Chem. (Leipzig) 247, 343 (1971); R. Sändig and W. D. Kraeft,Electrokhimiya 8, 152 (1972).

    Google Scholar 

  32. R. Sändig and R. Feistel,J. Solution Chem., to appear.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ebeling, W., Feistel, R. & Sändig, R. Electrolytic conductance for Gurney-Friedman models. J Solution Chem 8, 53–82 (1979). https://doi.org/10.1007/BF00646809

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00646809

Key words

Navigation