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Article

Defects in liquid crystals

MAY 01, 1982
Appearing under the polarizing microscope as ellipses, parabolas, hyperbolas, lines and points, colorful structural singularities are understood through topological and geometrical arguments.
William F. Brinkman
Patricia E. Cladis

The most striking feature of liquid crystals is the wide variety of visual patterns they display. These patterns, such as those shown in figure 1 and on the cover, are due almost entirely to the defect structure that occurs in the long‐range molecular order of the liquid. Indeed, historically, the underlying structure of the liquid‐crystal phases known as nematic and smectic‐A was discovered from a study of stable defects that characterize these phases. Such defects are easily visible in the optical microscope. By examining the thin and thick thread‐like structures observed in nematic liquid crystals, Otto Lehman and Georges Friedel deduced that this phase involves long‐range orientational ordering of the long axis of the rod‐like molecules. (The direction of this orientational ordering is what we now denote by the unit vector , called the director.)

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References

  1. 1. O. Lehman, Flüssige Kristalle, Engelmann, Leipzig (1904).

  2. 2. G. Friedel, Ann. Phys. (Paris) 18, 273 (1922).

  3. 3. For a detailed discussion see P. G. de Gennes, The Physics of Liquid Crystals, Oxford U.P., Oxford (1974).

  4. 4. M. Kleman, Points, Lignes, Parois, Edition de Physique, Paris (1977).

  5. 5. P. E. Cladis, M. Kleman, J. Phys. (Paris) 33, 591 (1972);
    R. B. Meyer, Phil. Mag. 27, 405 (1973).

  6. 6. G. Toulouse, M. Kleman, J. Phys. Lett. (Paris) 37, L‐149 (1976).

  7. 7. G. E. Volovik, V. P. Mineyev, Zh. Eksp. Teor. Fiz. Pis’ma Red. 24, 605 (1976)
    [G. E. Volovik, V. P. Mineyev, JETP Lett. 24, 561 (1976)].

  8. 8. W. Helfrich, J. Phys. (Paris) 39, 1199 (1978).

  9. 9. S. Meiboom, J. P. Sethna, P. W. Anderson, W. F. Brinkman, Phys. Rev. Lett. 46, 1216 (1981).https://doi.org/PRLTAO

  10. 10. F. C. Frank, Dis. Faraday Soc. 29, 1 (1959).

  11. 11. Y. Bouligand, P. E. Cladis, L. Liebert, L. Strzelecki, Mol. Cryst. Liq. Cryst. 25, 233 (1974).

  12. 12. P. E. Cladis, M. Kleman, P. Pieranski, CRAS (Paris) B273, 275 (1971).

  13. 13. C. Williams, P. Pieranski, P. E. Cladis, Phys. Rev. Lett. 29, 90 (1972).https://doi.org/PRLTAO

  14. 14. J. M. Kosterlitz, D. J. Thouless, J. Phys. C 6, 1181 (1973).

  15. 15. N. D. Mermin, Rev. Mod. Phys. 51, 591 (1979);
    V. P. Mineyev in Physics Reviews, Vol. 2,
    I. M. Khalatnikov, ed., Soviet Science Reviews (1981). Page 173.

  16. 16. J. P. Sethna, M. Kleman (preprint, submitted to Phys. Rev. Lett.)
    This preprint helped us clarify the differences between topological and geometrical considerations. See also, Y. Bouligand, J. Phys. (Paris) 33, 525 (1972).

  17. 17. P. E. Cladis, Phil. Mag. 29, 641 (1974).

  18. 18. S. T. Lagerwall, R. B. Meyer, B. Stebler, Ann. Phys. 3, 249 (1978).

  19. 19. G. Toulouse, J. Phys. Lett. (Paris) 38, L‐67 (1977).

  20. 20. F. Reinitzer, Monatsch. Chem. 9, 421 (1888).

  21. 21. S. Meiboom, M. Sammon, Phys. Rev. Lett. 44, 882 (1980); https://doi.org/PRLTAO
    D. L. Johnson, J. H. Flack, P. P. Crooker, Phys. Rev. Lett. 45, 641 (1980); https://doi.org/PRLTAO
    M. Marcus, J. Phys. (Paris) 42, 61 (1981);
    A. Saupe, Mol. Cryst. Liq. Cryst. 7, 59 (1969).

  22. 22. H. Hornreich, S. Shtrikmann, J. Phys. (Paris) 41, 335 (1980).

  23. 23. See, for example, P. L. Finn, P. E. Cladis, Mol. Cryst. Liq. Cryst. Lett. 72, 107 (1981);
    P. L. Finn, P. E. Cladis, Mol. Cryst. Liq. Cryst. 84, 159 (1982).

  24. 24. S. A. Brazovskii and S. G. Dmitriev, Zn. Eksp. Teor. Fiz. 69, 979 (1975)
    [S. A. Brazovskii and S. G. Dmitriev, Sov. Phys. JETP 42, 497 (1976)].

More about the authors

William F. Brinkman, Bell Laboratories.

Patricia E. Cladis, Bell Lab's chemical physics research laboratory.

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This Content Appeared In
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Volume 35, Number 5

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