Abstract
We determine by neutron diffraction the static structure factorS(q) of fluid helium at 4 K and 8 K at number densityn = 19.5 nm−3 for wavenumbers 0.5 < q < 7 nm−1.S(q) decreases very rapidly from its thermodynamic valueS(0) atq = 0 to aboutS(0)/2 atq ≃ 5 nm−1 confirming the behavior seen in X-ray diffraction experiments. We combine the experimental data with previous larger-q results and compare them with classical model calculations that indicate long range correlations ∼ 1/r 4 between the helium particles. By means of computer simulations we show that the structure is incompatible with any Lennard-Jones interaction.
Similar content being viewed by others
References
E. C. Svensson, V. F. Sears, A. D. B. Woods, and P. Martel,Phys. Rev. B 21, 3638 (1980).
H. R. Glyde and E. C. Svensson, Methods of Experimental Physics, Vol. 23, Part B, eds. D. L. Price and K. Sköld (Academic Press Inc., San Diego, California 92101), p. 303.
W. Montfrooij, I. M. de Schepper, L. A. de Graaf, A. K. Soper, and W. S. Howells,J. Phys.: Condens. Matter 2, 2431 (1990).
D. A. Ewen, H. N. Robkoff and R. B. Hallock,Phys. Rev. B 21, 3929 (1980); H. N. Robkoff and R. B. Hallock,Phys. Rev. B 24, 159 (1981); H. N. Robkoff and R. B. Hallock,Phys. Rev. B 25, 1572 (1982).
W. L. Gordon, C. H. Shaw, and J. G. Daunt,Phys. Rev. 96, 1444 (1954).
R. M. Crevecoeur, R. Verberg, I. M. de Schepper, L. A. de Graaf, and W. Montfrooij,Phys. Rev. Lett. 74, 5052 (1995).
R. M. Crevecoeur, H. E. Smorenburg, and I. M. de Schepper, to be published.
E. F. Talbot, H. R. Glyde, W. G. Stirling, and E. C. Svensson,Phys. Rev. B 38, 11229 (1988); K. H. Anderson and W. G. Stirling,J. Phys.: Condens. Matter 6, 5805 (1994).
V. V. Sychev, A. A. Vasserman, A. D. Kozlov, G. A. Spiridonov, and V. A. Tsymarny,Thermodynamic Properties of Helium, (Springer-Verlag, Berlin, 1987).
S. W. Lovesey, Theory of Neutron Scattering from Condensed Matter (Oxford University Press, Oxford, 1984), Vol. 1.
W. G. Madden and S. A. Rice,J. Comp. Phys. 72, 4208 (1980).
M. J. Gillan,Mol. Phys. 38, 1781 (1979).
R. A. Aziz, V. P. S. Nain, J. S. Carley, W. L. Taylor, and G. T. McConville,J. Chem. Phys. 70, 4330 (1979).
D. M. Ceperley and E. L. Pollock,Phys. Rev. Lett. 56, 351 (1986).
D. Henderson and E. W. Grundke,J. Chem. Phys. 63, 601 (1975).
J. P. Hansen and I. R. McDonald,Theory of Simple Liquids (Academic Press, London, 1990).
R. A. Young,Phys. Rev. A 23, 1498 (1981).
R. L. McGreevy and L. Pusztai,Mol. Sim. 1, 359 (1988).
E. L. Pollock and D. M. Ceperley,Phys. Rev. B 36, 8343 (1987).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Crevecoeur, R.M., Smorenburg, H.E. & de Schepper, I.M. Structure of helium at 4 and 8 K from neutron diffraction. J Low Temp Phys 103, 313–330 (1996). https://doi.org/10.1007/BF00754792
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00754792