Skip to main content
Log in

Transverse polarizability of an aligned assembly of charged rods

  • Regular Article
  • Published:
The European Physical Journal E Aims and scope Submit manuscript

Abstract

The low-field transverse polarizability of the counterions condensed on an isolated charged rod is small. We show that it can be much larger if the rod is a member of an assembly of aligned rods. The polarization free energy of the assembly of rods in a transverse field is then similar to its polarization free energy in a field parallel to the rods. The polarization free energy of the assembly in a transverse field becomes lower than in a parallel field if the extent of the assembly (as measured, for example, by the diameter of a cylindrical assembly) is larger than the length of the individual rods. We suggest that this model may provide a reasonable explanation for the occurrence of “anomalous” birefringence in systems of interacting charged rodlike particles.

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. N.C. Stellwagen, Biopolymers 20, 399 (1981).

    Article  Google Scholar 

  2. J.G. Elias, D. Eden, Macromolecules 14, 410 (1981).

    Article  ADS  Google Scholar 

  3. S. Diekmann, W. Hillen, M. Jung, R.D.Wells, D. Pörschke, Biophys. Chem. 15, 157 (1982).

    Article  Google Scholar 

  4. G.S. Manning, Biophys. Chem. 7, 189 (1977).

    Article  Google Scholar 

  5. K. Washizu, K. Kikuchi, J. Phys. Chem. B 106, 11329 (2002).

    Article  Google Scholar 

  6. K. Washizu, K. Kikuchi, J. Phys. Chem. B 110, 2855 (2006).

    Article  Google Scholar 

  7. X. Schlagberger, R.R. Netz, EPL 83, 36003 (2008).

    Article  ADS  Google Scholar 

  8. H. Kramer, C. Graf, M. Hagenbüchle, C. Johne, C. Martin, P. Schwind, R. Weber, J. Phys. II 4, 1061 (1994).

    Article  Google Scholar 

  9. K. Yamaoka, Colloids Surf. B: Biointerfaces 56, 97 (2007).

    Article  Google Scholar 

  10. Z. Dogic, S. Fraden, Curr. Opin. Colloid Interface Sci. 11, 47 (2006).

    Article  Google Scholar 

  11. K. Kang, J.K.G. Dhont, EPL 84, 14005 (2008).

    Article  ADS  Google Scholar 

  12. G.S. Manning, EPL 86, 36001 (2009).

    Article  ADS  Google Scholar 

  13. G.S. Manning, Q. Rev. Biophys. 11, 179 (1978).

    Article  Google Scholar 

  14. G.S. Manning, Macromolecules 40, 8071 (2007).

    Article  ADS  Google Scholar 

  15. U.F. Keyser, B.N. Koeleman, S. Van Dorp, D. Krapf, R.M.M. Smeets, S.G. Lemay, N.H. Dekker, C. Dekker, Nat. Phys. 2, 473 (2006).

    Article  Google Scholar 

  16. J. Ray, G.S. Manning, Macromolecules 33, 2901 (2000).

    Article  ADS  Google Scholar 

  17. M.E. Cates, J. Phys. II 2, 1109 (1992).

    Article  Google Scholar 

  18. J. Herzfeld, Acc. Chem. Res. 29, 31 (1996).

    Article  Google Scholar 

  19. J. Ray, G.S. Manning, Langmuir 10, 2450 (1994).

    Article  Google Scholar 

  20. M. Sedlák, E.J. Amis, J. Chem. Phys. 96, 826 (1992).

    Article  ADS  Google Scholar 

  21. P. Wissenburg, T. Odijk, P. Cirke, M. Mandel, Macromolecules 28, 2315 (1995).

    Article  ADS  Google Scholar 

  22. M. Bockstaller, W. Köhler, G. Wegner, D. Vlassopoulos, G. Fytas, Macromolecules 34, 6359 (2001).

    Article  ADS  Google Scholar 

  23. K.R. Bruno, W.L. Mattice, Macromolecules 25, 327 (1992).

    Article  ADS  Google Scholar 

  24. Z. Dogic, S. Fraden, Phys. Rev. Lett. 78, 2417 (1997).

    Article  ADS  Google Scholar 

  25. G.S. Manning, Biophys. J. 91, 1 (2006).

    Article  Google Scholar 

  26. J.S. Bowers, R.K. Prud’homme, J. Chem. Phys. 96, 7135 (1992).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. S. Manning.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Manning, G.S. Transverse polarizability of an aligned assembly of charged rods. Eur. Phys. J. E 30, 411 (2009). https://doi.org/10.1140/epje/i2009-10540-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epje/i2009-10540-5

Keywords

Navigation