Skip to main content
×
×
Home

Phase Diagram for Reversibly-Assembled Rod-Like Aggregates: Nematic, Columnar and Crystalline Ordering

  • Mark P. Taylor (a1) (a2) and Judith Herzfeld (a1)
Abstract

Aqueous solutions of amphiphilic molecules which reversibly assemble into well defined polydisperse rod-like aggregates display a characteristic sequence of lyotropic mesophases including translational as well as orientational ordering. We have developed a model for such systems which incorporates a phenomenological description of aggregate assembly with a scaled particle calculation of the configurational entropy in the fluid dimensions and a cell theory description of the configurational entropy in the translationally ordered dimensions. The model reproduces many of the features seen in the experimental phase diagrams, including regions of isotropic, nematic, columnar and crystalline stability. In addition to the calculated phase diagram, related aggregate size distributions are reported.

Copyright
References
Hide All
1. Tiddy, G.J.T., Physics Reports 57, 1 (1980); Surfactants in Solution, Vol. 1–3, edited by K.L. Mittal and B. Lindman (Plenum, New York, 1984).
2. Boden, N., Bushby, R.J., Ferris, L., Hardy, C. and Sixl, F., Liq. Crystals 1, 109 (1986); N. Boden, R.J. Bushby, K.W. Jolley, M.C. Holmes and F. Sixi, Mol. Cryst. Liq. Cryst. 152, 37 (1987).
3. Boden, N., Bushby, R.J. and Hardy, C., J. Physique Lett. 46, L325 (1985); N. Boden, R.J. Bushby, C. Hardy and F. Sixl, Chem. Phys. Lett. 123, 359 (1986).
4. Zimmermann, H., Poupko, P., Luz, Z. and Billard, J., Liq. Crystals 6, 151 (1989).
5. Piechocki, C. and Simon, J., Nouv. J. Chim. 9, 159 (1985).
6. Attwood, T.K. and Lydon, J.E., Mol. Cryst. Liq. Cryst. 108, 349 (1984); T.K. Attwood, J.E. Lydon and F. Jones, Liq. Crystals 1, 499 (1986).
7. Earlier results using a rectangular particle geometry are reported in Taylor, M.P. and Herzfeld, J., Langmuir (in press).
8. Onsager, L., Ann. N.Y. Acad. Sci. 51, 627 (1949).
9. This approximation is not as drastic as it may appear. See Hentschke, R. and Herzfeld, J., J. Chem. Phys. 90, 5094 (1989).
10. Cotter, M.A. and Wacker, D.C., Phys. Rev. A 18, 2669 (1978).
11. Taylor, M.P., Hentschke, R. and Herzfeld, J., Phys. Rev. Lett. 62, 800 & 1577(E) (1989); R. Hentschke, M.P. Taylor and J. Herzfeld, Phys. Rev. A 40, 1678 (1989).
12. Alben, R., Mol. Cryst. Liq. Cryst. 13, 193 (1971); M.P. Taylor and J. Herzfeld, to be published.
13. Hill, T.L., Thermodynamics of Small Systems, pt. 2 (W.A. Benjamin, New York, 1964).
14. Boden, N., Jackson, P.H., McMullen, K. and Holmes, M.C., Chem. Phys. Lett. 65, 476 (1979); B. Luhmann and H. Finkelmann, Colloid Polym. Sci. 264, 189 (1986).
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

MRS Online Proceedings Library (OPL)
  • ISSN: -
  • EISSN: 1946-4274
  • URL: /core/journals/mrs-online-proceedings-library-archive
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed