Skip to main content
Log in

Crossover to tricritical behavior at the nematic to smecticA transition: An x-ray scattering study

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

We have carried out a comprehensive x-ray scattering study of the nematic to smecticA transition in the alkylbenzoate (nCB) and thiosulfate\(\bar nS5\) series. By changing the aliphatic chain lengthn (C n H2n+1) in these series, crossovers from critical to tricritical behavior are induced. We observe a smooth progression of effective exponents from the set,y≃1.5,v ≃0.80, andv ≃0.67 toy=1.1,v =0.6, andv =0.5 for the critical and tricritical regions respectively. In both cases the exponents are close to, but in disagreement with, values expected from current theoretical models. We conclude on an empirical basis that the varied exponents reported in the literature for other systems reflect the critical to tricritical crossover.

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. Gennes, P.G. de: In: The physics of liquid crystals. Oxford: Oxford University Press 1974

    Google Scholar 

  2. Litster, J.D., Birgeneau, R.J.: Phys. Today (May 1982)

  3. McMillan, W.L.: Phys. Rev. A4, 1238 (1971)

    Google Scholar 

  4. Kobayashi, K.: J. Phys. Soc. Jpn.29, 101 (1970)

    Google Scholar 

  5. Gennes, P.G. de: Solid State Commun.10, 753 (1972)

    Google Scholar 

  6. Garland, C.W., Meichle, M., Ocko, B.M., Kortan, A.R., Safinya, C.R., Yu, L.J., Litster, J.D., Birgeneau, R.J.: Phys. Rev. A27, 3234 (1983)

    Google Scholar 

  7. Ocko, B.M., Birgeneau, R.J., Litster, J.D.: Phys. Rev. Lett.52, 208 (1984)

    Google Scholar 

  8. Riedel, E.K., Meyer, H., Behringer, R.: J. Low Temp. Phys.22, 369 (1976)

    Google Scholar 

  9. Wolf, W.P.: In: Multicritical phenomena. Pynn, R., Skjeltorp, A. (eds.), p. 13. New York: Plenum Press 1984

    Google Scholar 

  10. Reidel, E.K., Wegner, F.J.: Phys. Rev.9, 294 (1974)

    Google Scholar 

  11. Alben, R.: Solid State Commun.13, 1783 (1972)

    Google Scholar 

  12. Brisbin, D., DeHoff, R., Lockhart, T.E., Johnson, D.L.: Phys. Rev. Lett.43, 1171 (1979)

    Google Scholar 

  13. Lubensky, T.C., Chen, J.H.: Phys. Rev. B17, 366 (1978)

    Google Scholar 

  14. Lubensky, T.C.: J. Chim. Phys. (Paris)80, 31 (1983)

    Google Scholar 

  15. Toner, J., Nelson, D.R.: Phys. Rev. B23, 363 (1981)

    Google Scholar 

  16. Garland, C.W., Kasting, G.B., Lushington, K.J.: Phys. Rev. Lett.43, 1420 (1979)

    Google Scholar 

  17. Johnson, D.L., Hayes, C.F., DeHoff, R.J., Schantz, C.A.: Phys. Rev. B18, 4902 (1978)

    Google Scholar 

  18. LeGrange, J.D., Mochel, J.M.: Phys. Rev. A23, 3215 (1981)

    Google Scholar 

  19. Hatta, I., Ikushima, A.J.: Jpn. J. Appl. Phys.20, 1995 (1981)

    Google Scholar 

  20. Thoen, J., Marynissen, H., Van Dael, W.: Phys. Rev. A26, 2886 (1982)

    Google Scholar 

  21. Thoen, J., Marynissen, H., Van Dael, W.: Mol. Cryst. Liq. Cryst.97, 149 (1983)

    Google Scholar 

  22. Thoen, J., Marynissen, H., Van Dael, W.: Phys. Rev. Lett.52, 204 (1984)

    Google Scholar 

  23. Lushington, K.J., Kasting, G.B., Garland, C.W.: J. Phys. Lett. (Paris)41, L-419 (1980)

    Google Scholar 

  24. Birgeneau, R.J., Garland, C.W., Kasting, G.B., Ocko, B.M.: Phys. Rev. A24, 2624 (1981)

    Google Scholar 

  25. Bloemen, E., Garland, C.W.: J. Phys. (Paris)42, 1299 (1981)

    Google Scholar 

  26. Gorodetskii, E.E., Zaprudskii, V.M.: Sov. Phys. JETP45, 1209 (1977)

    Google Scholar 

  27. Lipa, J.A., Chui, T.C.P.: Phys. Rev. Lett.51, 2291 (1983)

    Google Scholar 

  28. LeGuillou, J.C., Zinn-Justin, J.: Phys. Rev. B21, 3976 (1980)

    Google Scholar 

  29. Brezin, E., LeGuillou, J.C., Zinn-Justin, J.: Phys. Rev. Lett.47A, 285 (1974)

    Google Scholar 

  30. Stauffer, D., Ferer, M., Wortis, M.: Phys. Rev. Lett.29, 345 (1972)

    Google Scholar 

  31. Hohenberg, P.C., Aharony, A., Halperin, B.I., Siggia, E.D.: Phys. Rev. B13, 2986 (1976)

    Google Scholar 

  32. Lubensky, T.C., Dunn, S.G., Isaacson, J.: Phys. Rev. Lett.22, 1609 (1981)

    Google Scholar 

  33. McMillan, W.L.: Phys. Rev. A7, 1419 (1973)

    Google Scholar 

  34. Safinya, C.R.: MIT Thesis (1981)

  35. Davidov, D., Safinya, C.R., Kaplan, M., Dana, S.S., Schaetzing, R., Birgeneau, R.J., Litster, J.D.: Phys. Rev. B19, 1657 (1979)

    Google Scholar 

  36. Schaetzing, R., Litster, J.D.: In: Advances in liquid crystals. New York: Academic Press 1979

    Google Scholar 

  37. Sprunt, S., Solomon, L., Litster, J.D.: Phys. Rev. Lett.53, 1923 (1984)

    Google Scholar 

  38. Gooden, C., Mahmood, R., Brisbin, D., Baldwin, A., Johnson, D.L., Neubert, M.E.: Phys. Rev. Lett.54, 1035 (1985)

    Google Scholar 

  39. Ocko, B.M., Kortan, A.R., Birgeneau, R.J., Goodby, J.W.: J. Phys. (Paris)45, 113 (1983)

    Google Scholar 

  40. Als-Nielsen, J., Litster, J.D., Birgeneau, R.J., Kaplan, M., Safinya, C.R., Lindegaard-Andersen, A., Mathiesen, S.: Phys. Rev. B22, 312 (1980)

    Google Scholar 

  41. Ocko, B.M.: MIT Thesis (1984)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ocko, B.M., Birgeneau, R.J. & Litster, J.D. Crossover to tricritical behavior at the nematic to smecticA transition: An x-ray scattering study. Z. Physik B - Condensed Matter 62, 487–497 (1986). https://doi.org/10.1007/BF01303581

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01303581

Keywords

Navigation