Skip to main content
Log in

Analysis of orientation fluctuation in fluids by small angle X-ray scattering

  • Published:
Colloid and Polymer Science Aims and scope Submit manuscript

Abstract

The small angle X-ray scattering of molecular fluids contains information on particular aspects of their orientational order. Examples are given for the case of the isotropic, nematic and cholesteric phases of mesogenic molecules. It is shown that the distribution of the molecular centers relative to the direction defined by the molecular long axes can be analysed by means of small angle X-ray scattering. An approximate expression for the circulation correlation function is given.

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. Gray, W., Molecular Structure and the Properties of Liquid Crystals, Academic Press, London (1962).

    Google Scholar 

  2. de Gennes, P. G., The Physics of Liquid Crystals, Clarendon Press, Oxford (1975).

    Google Scholar 

  3. Kelker, H., R. Hatz, Handbook of Liquid Crystals, Verlag Chemie, Weinheim (1980).

    Google Scholar 

  4. Blumstein, A., Liquid Crystalline Order in Polymers, Academic Press, New York (1978).

    Google Scholar 

  5. Flory, P. J., G. Ronca, Mol. Cryst. Liq. Cryst.54, 311 (1979).

    Google Scholar 

  6. Champion, J. V., A. Dandbridge, G. H. Meeten, Farad. Disc. Chem. Soc.66, 266 (1978).

    Google Scholar 

  7. Fischer, E. W., G. R. Strobl, M. Dettenmaier, M. Stamm, N. Steidle, Farad. Disc. Chem. Soc.68, 27 (1979).

    Google Scholar 

  8. Blum, L., A. J. Torruella, J. Chem. Phys.56, 303 (1972).

    Google Scholar 

  9. Steele, W. A., J. Chem. Phys.39, 3197 (1963).

    Google Scholar 

  10. Steele, W. A., R. Pecora, J. Chem. Phys.42, 1863 (1965).

    Google Scholar 

  11. Street, W. B., K. E. Gubbins, Ann. Rev. Phys. Chem.28, 373 (1977).

    Google Scholar 

  12. Blum, L., A. H. Narten, Adv. Chem. Phys.34, 203 (1976).

    Google Scholar 

  13. Versmold, H., Ber. Bunsenges. Phys. Chem.85, 492 (1981).

    Google Scholar 

  14. Bertagnolli, H., M. O. Zeidler, Mat. Phys.35, 177 (1978).

    Google Scholar 

  15. Steinhauser, O., H. Bertagnolli, Z. Phys. Chem. Neue Folge124, 33 (1981).

    Google Scholar 

  16. Kopp, W., J. H. Wendorff, Mol. Cryst. Liq. Cryst., in press.

  17. Edmonds, A. R., Angular Momentum in Quantum Mechanics, Princeton U. P., Princeton (1957).

    Google Scholar 

  18. Chandler, D., Ann. Rev. Phys. Chem.29, 44 (1978).

    Google Scholar 

  19. Pecora, F., W. A. Steele, J. Chem. Phys.42, 1872 (1965).

    Google Scholar 

  20. Narten, A. H., H. A. Levy, J. Chem. Phys.55, 2263 (1971).

    Google Scholar 

  21. Landau, L. D., E. M. Lifshitz, Statistical Physics, Addison Wesley Publ. Comp., Reading (1969).

    Google Scholar 

  22. Hill, T. L., Statistical Mechanics, McGraw Hill Book Comp., New York (1956).

    Google Scholar 

  23. Hölle, H. J., R. G. Kirste, B. Lehnen, M. Steinbach, Progr. Colloid Polym. Sci.58, 30 (1975).

    Google Scholar 

  24. Wendorff, J. H., E. W. Fischer, Kolloid Z. u. Z. Polymere251, 876 (1973).

    Google Scholar 

  25. Strobl, G., Acta Cryst.A 26, 367 (1970).

    Google Scholar 

  26. Nagai, S., P. Martinoty, S. Chandau, J. Physique37, 768 (1976).

    Google Scholar 

  27. Kozhevnikov, E. N., I. A. Chaban, Soviet phys. Acoustics21, 269 (1975).

    Google Scholar 

  28. Lewis, E. A. S., H. M. Strong, G. H. Brown, Mol. Cryst. Liq. Cryst.53, 89 (1979).

    Google Scholar 

  29. Bergmann, L., Der Ultraschall, S. Hirzel Verlag, Stuttgart (1954).

    Google Scholar 

  30. Street, W. B., D. J. Tildesley, Farad. Disc. Chem. Soc.66, 27 (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kopp, W., Wendorff, J.H. Analysis of orientation fluctuation in fluids by small angle X-ray scattering. Colloid & Polymer Sci 260, 1071–1078 (1982). https://doi.org/10.1007/BF01411224

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01411224

Key words

Navigation