A Lattice of Rigid Rods with Long Range Anisotropic Attractions

  • Michael S. Rapport
  • Andrew G. De Rocco


Until recently, two points of view concerning the forces which shape the distinctive first order transition between the nematic liquid crystalline phase and the normal isotropic liquid prevailed. From one perspective, that advocated by Maier and Saupe,1 long ranged, anisotropic attractive interactions were viewed as primarily responsible for forging the unique properties of the transition. From the other perspective,2 the first order transition was considered to arise exclusively from the effects of hard core steric repulsions between elongated rod-like molecules. Neither position, however, has been without its shortcomings.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    W. Maier and A. Saupe, Z. Naturforchg. 12a, 668 (1957); 13a, 564 (1958); 14a, 882 (1959); 15a, 287 (1960).Google Scholar
  2. 2.
    L. Onsager, Ann. N. Y. Acad. Sci. 51, 627 (1949).CrossRefGoogle Scholar
  3. 3.
    J. Kaplan, E. Drauglis, Chem. Phys. Lett. 9, 645 (1971); A. Wulf, J. Chem. Phys. 64, 104 (1976); R. G. Priest, Phys. Rev. Lett. 26, 423 (1971); T. D. Schultz, Mol. Cryst. Liq. Cryst. 14, 147 (1971).CrossRefGoogle Scholar
  4. 4.
    For example, M. Cotter, Phys. Rev. A10, 625 (1974); P. Sheng, J. Chem. Phys. 59, 1942 (1974). See also, A. Wulf, Ref. (3).CrossRefGoogle Scholar
  5. 5.
    J. R. McColl, C. S. Shih, Phys. Rev. Lett. 29, 85 (1972); also, Phys. Rev. Lett. A38, 55 (1972).CrossRefGoogle Scholar
  6. 6.
    M. A. Cotter and D. E. Martire, Mol. Cryst. Liq. Cryst. 7, 295 (1969).Google Scholar
  7. 7.
    E. A. DiMarzio, J. Chem. Phys. 35, 658 (1961).CrossRefGoogle Scholar
  8. 8.
    S. L. Brenner and D. A. McQuarrie, J. Chem. Phys. 61, 3090 (1974).CrossRefGoogle Scholar
  9. 9.
    R. Zwanzig, J. Chem. Phys. 39, 1714 (1963).CrossRefGoogle Scholar
  10. 10.
    M. Cotter, J. Chem. Phys. 66, 1098 (1977).CrossRefGoogle Scholar
  11. 11.
    W. M. Gelbart and B. A. Baron, J. Chem. Phys. 66, 207 (1977).CrossRefGoogle Scholar
  12. 12.
    These ideas were first described in a paper (no. 38) presented at the Second International Liquid Crystal Conference (1968) —“A Van der Waals Model for the Nematic Isotropic Transition,” referred to in Ref. (13) and again made explicit at the Van der Waals Centennial Conference, Amsterdam, 1973.Google Scholar
  13. 13.
    A. Wulf and A. G. DeRocco, J. Chem. Phys. 55, 12, (1971).CrossRefGoogle Scholar
  14. 14.
    M. S. Rapport, Ph. D. thesis, University of Maryland (1976).Google Scholar
  15. 15.
    M. A. Cotter, Mol. Cryst. Liq. Cryst. 39, 173 (1977).CrossRefGoogle Scholar
  16. 16.
    R. L. Humphries, P. G. James and G. R. Luckhurst, J. Chem. Soc., Faraday Transactions II 68, 1031 (1972).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • Michael S. Rapport
    • 1
    • 2
  • Andrew G. De Rocco
    • 1
    • 2
  1. 1.The Institute for Physical Science and TechnologyThe University of MarylandCollege ParkUSA
  2. 2.the Department of Physics and AstronomyThe University of MarylandCollege ParkUSA

Personalised recommendations