Skip to main content
SpringerLink
Log in

Limiting Laws for Equilibrium and Transport Properties of Polyelectrolyte Solutions

  • Chapter
Polyelectrolytes

Part of the book series: Charged and Reactive Polymers ((CHRP,volume 1))

Abstract

It is proposed here to discuss the interactions of point ions with infinitely long line charges against the background of a dielectric continuum [1–8]. It is expected, both on a priori and empirical grounds, that this model is a good representation of a polyelectrolyte solution at low concentrations. Further discussion of the model is deferred to the end of the article. Fairly extensive comparions of published data with the predictions of the model are given in References [1] and [7]. Further comparisons are given below, but emphasis is primarily directed at data which serve to illustrate specific points.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Manning, G. S.: J. Chem. Phys. 51, 924 (1969).

    Article  CAS  Google Scholar 

  2. Manning, G. S.: J. Chem. Phys. 51, 924 (1969).

    Article  CAS  Google Scholar 

  3. Manning, G. S.: J. Chem. Phys. 51, 3249 (1969).

    Article  CAS  Google Scholar 

  4. Manning, G. S.: Biopolymers. 9, 1543 (1970).

    Article  CAS  Google Scholar 

  5. Manning, G. S.: Biopolymers. 11, 937 (1972).

    Article  CAS  Google Scholar 

  6. Manning, G. S.: Biopolymers. 11, 951 (1972).

    Article  CAS  Google Scholar 

  7. Manning, G. S.: Ann. Rev. Phys. Chem. 23, 117 (1972).

    Article  CAS  Google Scholar 

  8. Manning, G. S. and Holtzer, A.: J. Chem. Phys. 77, 2206 (1973).

    Article  CAS  Google Scholar 

  9. Abramowitz, M. and Stegun, I. A.: Handbook of Mathematical Functions, Dover, New York, 1965.

    Google Scholar 

  10. Davidson, N.: Statistical Mechanics, McGraw-Hill, New York, 1962.

    Google Scholar 

  11. Ikegami, A.: J. Polymer Sci. A2, 907 (1964).

    Google Scholar 

  12. Zana, R., Tondre, C., Rinaudo, M., and Milas, M.: J. Chim. Phys. Physicochim. Biol. 68, 1258 (1971).

    CAS  Google Scholar 

  13. Amstrong, R. W., Kurucsev, T., and Strauss, U. P.: J. Am. Chem. Soc. 92, 3174 (1970).

    Article  Google Scholar 

  14. Oosawa, F.: Polyelectrolytes, Marcel Dekker, New York, 1971.

    Google Scholar 

  15. Jackson, J. L. and Coriell, S. R.: J. Chem. Phys. 40, 1460 (1964).

    Article  CAS  Google Scholar 

  16. MacGillivray, A. D. and Winkleman, Jr., J. J.: J. Chem. Phys. 45, 2184 (1966).

    Article  CAS  Google Scholar 

  17. Krakauer, H.: Biopolymers 10, 2459 (1971).

    Article  CAS  Google Scholar 

  18. Archer, B. G., Craney, C. L., and Krakauer, H.: Biopolymers 11, 781 (1972).

    Article  CAS  Google Scholar 

  19. Dolar, D. and Juznic, K.: Presented at Int. Conf. Calor. Thermodyn., 1st, Warsaw, August 31-September 4, 1969.

    Google Scholar 

  20. Dolar, D. and Kozak, D.: Presented at IUPAC Int. Symp. Macromol., Leiden, 1970.

    Google Scholar 

  21. Katchalsky, A.: Pure and Appl. Chem. 26, 327 (1971).

    Article  CAS  Google Scholar 

  22. Kozak, D. and Dolar, D.: Z. Phys. Chem., Frankfurt 76, 93 (1971).

    Article  Google Scholar 

  23. Reddy, M. and Marinsky, J. A.: J. Phys. Chem. 74, 3891 (1970).

    Article  Google Scholar 

  24. Oman, S. and Dolar, D.: Z. Phys. Chem., Frankfurt 56, 13 (1967).

    Article  CAS  Google Scholar 

  25. Ise, N.: Advan. Polymer Sci. 7, 536 (1971).

    Article  CAS  Google Scholar 

  26. Ise, N. and Okubo, T.: J. Phys. Chem. 69, 4102 (1965).

    Article  CAS  Google Scholar 

  27. Ise, N. and Okubo, T.: Macromolecules 2, 401 (1969).

    Article  CAS  Google Scholar 

  28. Dolar, D. and Leskovsek, H.: Makromol. Chem. 118, 60 (1968).

    Article  CAS  Google Scholar 

  29. Lyons, J. W. and Kotin, L.: J. Am. Chem. Soc. 87, 1670 (1965).

    Article  CAS  Google Scholar 

  30. Auer, H. E. and Alexandrowicz, Z.: Biopolymers 8, 1 (1969).

    Article  CAS  Google Scholar 

  31. Liquori, A. M. Ascoli, F., Botre, C., Crescenzi, V. and Mele, A.: J. Polymer Sci. 40, 169 (1959).

    Article  CAS  Google Scholar 

  32. Nagasawa, M. and Kagawa, I.: J. Polymer Sci. 25, 61 (1957)

    Article  CAS  Google Scholar 

  33. Errata, J. Polymer Sci. 31, 256 (1958).

    Google Scholar 

  34. Preston, B. N., Snowden, J. McK. and Houghton, K. T.: Biopolymers 11, 1645 (1972).

    Article  CAS  Google Scholar 

  35. Cleland, R. L.: Biopolymers 6, 1519 (1968).

    Article  CAS  Google Scholar 

  36. Podlas, T. J. and Ander, P.: Macromolecules 2, 432 (1969).

    Article  CAS  Google Scholar 

  37. Podlas, T. J. and Ander, P.: Macromolecules 3, 154 (1970).

    Article  CAS  Google Scholar 

  38. Katchalsky, A., Cooper, R. E., Upadhyay, J. and Wasserman, A.: J. Chem. Soc. London 5198 (1961).

    Google Scholar 

  39. Takahashi, A., Kato, T. and Nagasawa, M.: J. Phys. Chem. 74, 944 (1970).

    Article  CAS  Google Scholar 

  40. Skerjanc, J., Dolar, D. and Leskovsek, D.: Z. Phys. Chem., Frankfurt 56, 207, 218 (1967).

    Article  CAS  Google Scholar 

  41. Skerjanc, J., Dolar, D. and Leskovsek, D.: 1967, Z. Phys. Chem., Frankfurt 70, 31 (1970).

    Article  CAS  Google Scholar 

  42. Dolar, D: (private communication).

    Google Scholar 

  43. Ise, N.: (private communication).

    Google Scholar 

  44. Wells, J. D.: Biopolymers 12, 223 (1973)

    Article  CAS  Google Scholar 

  45. Wells, J. D.: Proc. Roy. Soc. London B183, 399 (1973).

    Article  CAS  Google Scholar 

  46. Nagasawa, M., Izumi, M. and Kagawa, I.: J. Polymer Sci. 37, 375 (1959).

    Article  CAS  Google Scholar 

  47. Gross, L. M. and Strauss, U. P.: in B. E. Conway, R. G. Barrades (eds.), Chemical Physics of Ionic Solutions, Wiley, New York, 1966, pp. 361–89.

    Google Scholar 

  48. DeVore, D. I. and Manning, G. S. (to be published).

    Google Scholar 

  49. Ikegami, A.: Biopolymers 6, 431 (1968).

    Article  CAS  Google Scholar 

  50. Robinson, R. A. and Stokes, R. H.: Electrolyte Solutions, Academic Press, New York, 1955.

    Google Scholar 

  51. Huizenga, J. R., Griegor, P. F. and Wall, F. T.: J. Am. Chem. Soc. 72, 2636 (1950).

    Article  CAS  Google Scholar 

  52. Kurucsev, T. and Steel, B. J.: Rev. Pure Appl Chem. 17, 149 (1967).

    CAS  Google Scholar 

  53. Alexandrowicz, Z. and Daniel, E.: Biopolymers 1, 447 (1963).

    Article  CAS  Google Scholar 

  54. Huizenga, J. R., Griegor, P. F. and Wall, F. T.: J. Am. Chem. Soc., 72, 4228 (1950).

    Article  CAS  Google Scholar 

  55. Wall, F. T. and Hill, W. B.: J. Am. Chem. Soc. 82, 5599 (1960).

    Article  CAS  Google Scholar 

  56. Wall, F. T. and Doremus, R. H.: J. Am. Chem. Soc. 76, 868 (1954).

    Article  CAS  Google Scholar 

  57. Darskus, R. L., Jordon, D. O. and Kurucsev, T.: Trans. Faraday Soc. 62, 2876 (1966).

    Article  CAS  Google Scholar 

  58. Jordon, D. O., Kurucsev, T., T. and Martin, M. L.: Trans. Faraday Soc. 65, 606 (1969).

    Article  Google Scholar 

  59. Okubo, T. and Ise, N.; Macromolecules 2, 407 (1969).

    Article  CAS  Google Scholar 

  60. Buchner, P., Cooper, R. E., and Wasserman, A.: J. Chem. Soc. London, 3974 (1961).

    Google Scholar 

  61. Pefferkorn, E. and Varoqui, R.: Eur. Polymer J. 6, 663 (1970).

    Article  CAS  Google Scholar 

  62. Bourdais, J.: J. Chim. Phys. Physicochim. Biol. 56, 194 (1959).

    CAS  Google Scholar 

  63. Dolar, D., Span, J. and Pretnar, A.: J. Polymer Sci. C. 16, 3557 (1968).

    Google Scholar 

  64. Baumgartner, E., Liberman, S. and Lagos, A. E.: Z. Phys. Chem. Frankfurt 61, 211 (1968).

    Article  CAS  Google Scholar 

  65. Sugai, S. and Nitta, K.: Biopolymers 7, 495 (1969).

    Article  CAS  Google Scholar 

  66. Armstrong, R. W. and Strauss, U. P.: ‘Polyelectrolytes’, in H. F. Mark, N. G. Gaylord, and N. M. Bikales (eds.), Encyclopedia of Polymer Science and Technology, Vol. 10, Wiley-Interscience, New York, 1969.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Chemistry, Rutgers University, New Brunswick, N.J, USA

    Gerald S. Manning

Authors
  1. Gerald S. Manning
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Université de Rouen, France

    Eric Sélégny

  2. University of Leyden, The Netherlands

    Michael Mandel

  3. Rutgers University, USA

    Ulrich P. Strauss

Rights and permissions

Reprints and permissions

Copyright information

© 1974 D. Reidel Publishing Company, Dordrecht-Holland

About this chapter

Cite this chapter

Manning, G.S. (1974). Limiting Laws for Equilibrium and Transport Properties of Polyelectrolyte Solutions. In: Sélégny, E., Mandel, M., Strauss, U.P. (eds) Polyelectrolytes. Charged and Reactive Polymers, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2185-2_2

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-2185-2_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-2187-6

  • Online ISBN: 978-94-010-2185-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation