Skip to main content
Log in

Elastic reflection of4He atoms from the surface of liquid4He

  • Articles
  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

The reflection of incident4He atoms from the surface of liquid4He can yield information on the microscopic features of the liquid at the surface. Edwards et al. have measured this reflectivity and have developed a theoretical model which successfully described the measurements. However, the density profile of the liquid4He surface has recently been determined experimentally, and this can now be used to model the reflectivity without any freely adjustable parameters. We use this density profile and the experimentally-determined interatomic pair potential to derive an effective potential for the incoming atom, and then solve the single-particle Schroedinger equation to find the reflectivity as a function of wavevector perpendicular to the surface. Within the uncertainty in the density profile and interatomic potential, we have chosen values that give good agreement between the measured and calculated reflectivities.

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. L. B. Lurio, T. A. Rabedeau, P. S. Pershan, I. F. Silvera, M. Deutsch, S. D. Kosowsky, and B. M. Ocko,Phys. Rev. Lett. 68, 2628 (1992).

    Google Scholar 

  2. For a review, see D. O. Edwards and W. F. Saam,Progress in Low Temperature Physics VII A, 283 (1978).

    Google Scholar 

  3. H. J. Lauter, H. Godfrin, V. L. P. Frank, and P. Leiderer,Phys. Rev. Lett. 68, 2484 (1992).

    Google Scholar 

  4. M. Brown and A. F. G. Wyatt,J. Phys.: Condens. Matter 2, 5025 (1990).

    Google Scholar 

  5. D. O. Edwards, P. Fatouros, G. G. Ihas, P. Mrozinski, S. Y. Shen, F. M. Gasparini, and C. P. Tam,Phys. Rev. Lett. 34, 1153 (1975).

    Google Scholar 

  6. V. U. Nayak, D. O. Edwards, and N. Masuhara,Phys. Rev. Lett. 50, 990 (1983).

    Google Scholar 

  7. D. O. Edwards and P. P. Fatouros,Phys. Rev. B17, 2147 (1978).

    Google Scholar 

  8. F. O. Goodman and N. Garcia,Phys. Rev. B33, 4560 (1986).

    Google Scholar 

  9. J. Dupont-Roc, M. Himbert, N. Pavloff, and J. Treiner,J. Low Temp. Phys. 81, 31 (1990).

    Google Scholar 

  10. N. Pavloff,Thesis, Orsay 1990, unpublished.

  11. P. M. Echenique and J. B. Pendry,J. Phys. C: Solid State Phys. 9, 3183 (1976).

    Google Scholar 

  12. D. R. Swanson and D. O. Edwards,Phys. Rev. B37, 1539 (1988).

    Google Scholar 

  13. e.g. G. H. A. Cole, inProgress in Liquid Physics, ed. C. A. Croxton (John Wiley and Sons, New York, 1978), Chapter 1.

    Google Scholar 

  14. E. C. Svensson, V. F. Sears, A. D. Woods, and P. Martel,Phys. Rev. B21, 3638 (1986).

    Google Scholar 

  15. J. de Boer and A. Michels,Physica 5, 945 (1938).

    Google Scholar 

  16. R. A. Aziz, V. P. S. Nain, J. S. Carley, W. L. Taylor, and G. T. McConville,J. Chem. Phys. 70, 4330 (1979).

    Google Scholar 

  17. H. van Dijk, M. Durieux, J. R. Clement, and J. K. Logan,Journal of Research of the National Bureau of Standards 64A, 1 (1960).

    Google Scholar 

  18. T. R. Sosnick, W. M. Snow, and P. E. Sokol,Phys. Rev. B41, 11185 (1990).

    Google Scholar 

  19. L. B. Lurio, T. A. Rabedeau, P. S. Pershan, I. F. Silvera, M. Deutsch, S. D. Kosowsky, and B. M. Octo,Phys. Rev. Lett. 72, 309 (1994) andPhys. Rev. B48, 9644 (1993).

    Google Scholar 

  20. F. London,Proc. Roy. Soc. 153, 576 (1936).

    Google Scholar 

  21. W. Heitler,Zeitschrift f. Phys. 44, 161 (1927).

    Google Scholar 

  22. R. B. Dingle,Phil. Mag. 40, 573 (1949).

    Google Scholar 

  23. D. Amit and E. P. Gross,Phys. Rev. 145, 130 (1966).

    Google Scholar 

  24. H. Margenau,Phys. Rev. 38, 747 (1931).

    Google Scholar 

  25. R. D. Present,Contemporary Physics 12, 595 (1971).

    Google Scholar 

  26. J. A. Barker and J. P. McTague, inEncyclopedia of Physics (2nd ed.), eds. R. G. Lerner and G. L. Trigg (VCH publishers, New York, 1991), pp. 544–546.

    Google Scholar 

  27. C. E. Campbell,Phys. Lett. 44A, 471 (1973); C. E. Campbell, inProgress in Liquid Physics, ed. C. A. Croxton (John Wiley and Sons, New York, 1978), Chapter 6.

    Google Scholar 

  28. E. Krotscheck,Phys. Rev. B33, 3158 (1986).

    Google Scholar 

  29. J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird,Molecular Theory of Gases and Liquids (John Wiley and Sons, New York, 1954), p. 321.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tucker, M.A.H., Wyatt, A.F.G. Elastic reflection of4He atoms from the surface of liquid4He. J Low Temp Phys 100, 105–120 (1995). https://doi.org/10.1007/BF00753838

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00753838

Keywords

Navigation