Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-29T09:27:03.178Z Has data issue: false hasContentIssue false

Simple Theory for Persistent-Flexible Liquid Crystal Polymers Beyond the Second Virial Approximation

Published online by Cambridge University Press:  21 February 2011

Reinhard Hentschke
Affiliation:
Department of Chemistry, Brandeis University, Waltham, MA 02254-9110, USA
Judith Herzfeld
Affiliation:
Department of Chemistry, Brandeis University, Waltham, MA 02254-9110, USA
Get access

Abstract

Khokhlov and Semenov (KS) have proposed a theory for long persistent chains that quite accurately describes the liquid crystalline behavior of dilute solutions of long homogeneous bend-elastic macromolecules. By replacing their second virial description of excluded volume effects with Lee's generalization of the Carnahan-Starling equation, results are obtained which are valid over a wider range of polymer concentrations. Comparison of the calculated order parameter and equation of state with experimental data for Poly(γ-benzyl-L-glutamate) yields good agreement for large polymer axial ratios, where rigid particle theories deviate strongly from experimental results. In addition, we show how this approach to persistent flexibility can be connected to a recent model for translational order in lyotropic liquid crystals.

Type
Research Article
Copyright
Copyright © Materials Research Society 1990

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Grosberg, A. Yu. and Khokhlov, A.R., Soc. Sci. Rev. A. Phys. 8, 147 (1987)Google Scholar
2. Semenov, A.N. and Khokhlov, A.R., Soy. Phys. Usp. 31, 988 (1989)Google Scholar
3. Odijk, T., Macromolecules 12, 2313 (1986)Google Scholar
4. Khokhlov, A.R. and Semenov, A.N., Physica 108A, 546 (1981); 112A, 605 (1982)Google Scholar
5. Lifshitz, I.M., Sov. Phys. JETP 28, 1280 (1969)Google Scholar
6. Teramoto, A., in Frontiers of Macromolecular Science, edited by Saegusa, T. et al. (Blackwell Scientific Publications LTD)Google Scholar
7. Hentschke, R., Macromolecules (in press)Google Scholar
8. Lee, S., J. Chem. Phys. 87, 4972 (1987)Google Scholar
9. Kubo, K. and Ogino, K., Mol. Cryst. Liq. Cryst. 51, 207 (1979)Google Scholar
10. Onsager, L., Ann. N.Y. Acad. Sci. 51, 627 (1949)Google Scholar
11. Parthasarathy, R., Houpt, D.J., and Dupré, D.B., Liquid Crystals 3, 1073 (1988)Google Scholar
12. Abe, A. and Yamazaki, T., Macromolecules 22, 2145 (1989)Google Scholar
13. Kubo, K., Mol. Cryst. Liq. Cryst. 74, 71 (1981)Google Scholar
14. Flory, P.J. and Ronca, G., Mol. Cryst. Liq. Cryst. 54, 289 (1979); 54, 311 (1979)Google Scholar
15. Livolant, F. and Bouligand, Y., J. Physique 47, 1813 (1986)Google Scholar
16. Taylor, M.P., Hentschke, R., and Herzfeld, J., Phys. Rev. Lett. 62 800 (1989)Google Scholar
17. Hentschke, R., Taylor, M.P., and Herzfeld, J., Phys. Rev. A 40, 1678 (1989)Google Scholar