Abstract
Recently performed high resolution incoherent neutron scattering experiments on liquid sodium at smallA and low ω make the precise evaluation of the frequency distribution of the liquid feasible. An appropriate extension of the well known Egelstaff formula\(z(\omega ) = \mathop {\lim }\limits_{Q \to 0} \frac{{\omega ^2 }}{{Q^2 }}S_s (Q,\omega )\) for the evaluation of the frequency distribution in a liquid is deduced. The new analysis is shown to be exact in the smallQ low ω region, removing the singularity of the above formula at ω→0 andQ→0. The easy applicability of the evaluation is demonstrated on neutron scattering data of liquid sodium, where the long discussed low frequency cusp ofz(ω) could be revealed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
de Schepper, I.M., v. Beyeren, H., Ernst, M.H.: Physica75, 1 (1974)
de Schepper I.M., Ernst, M.H.: Physica98A, 189 (1979)
Dorfman, J.R., Cohen, E.G.: Phys. Rev. A6, 776 (1972)
Bosse, J., Götze, W., Lücke, M.: Phys. Rev. A20, 1603 (1979)
Gaskell, T., Miller, S.: J. Phys. C11, 3749 (1978)
Wahnström, G., Sjögren, L.: J. Phys. C15, 401 (1982)
Morkel, C., Gläser, W.: Phys. Rev. A33, 3383 (1986)
Montfrooy, W., de Schepper, I.M., Bosse, J., Gläser, W., Morkel, C.: Phys. Rev. A33, 1405 (1986)
Verkerk, P., Builtjes, H.J., de Schepper, I.M.: Phys. Rev. A31, 1731 (1985)
Morkel, C., Gronemeyer, C., Gläser, W., Bosse, J.: Phys. Rev. Lett.58, 1873 (1987)
Cooking, S.J.: J. Phys. C2, 2047 (1969)
Kinell, T., Dahlborg, U., Söderström, O., Ebbsjö, J.: J. Phys. F15, 1033 (1985)
Söderström, O., Dahlborg, U.: J. Phys. F14, 2297 (1984)
Placzek, G., Van Hove, L.: Phys. Rev.93, 1207 (1954)
Nijboer, B., Rahman, A.: Physica32, 415 (1966)
Singwi, K.S., Sjölander, A., Rahman, A.: Proceedings of the IAEA Symposium, Vol. I, p. 215. Vienna 1962
Egelstaff, P.A., Schofield, P.: Nucl. Sci Eng.12, 260 (1962)
Egelstaff, P.A.: Proceedings of the IAEA Symposium, p. 25. Vienna 1960
Egelstaff, P.A., Cocking, S.J.: Proceedings of the IAEA Symposium, p. 569. Vienna 1960
Turberfield, K.C., Egelstaff, P.A.: Proceedings of the IAEA Symposium p. 581. Vienna 1960
Egelstaff, P.A., Cocking, S.J., Royston, R.: Proceedings of the IAEA Symposium, p. 309. Vienna 1960
Egelstaff, P.A.: An introduction to the liquid state. London: Academic Press 1967
Schofield, P.: Proceedings of the IAEA Symposium, p. 39. Vienna 1960
Marshall, W., Lovesey, S.w.: Theory of thermal neutron scattering. Oxford: Clarendon Press 1971
Carneiro, K.: Phys. Rev. A14, 517 (1976)
Ohse, R.W. (ed.): Handbook of thermodynamic and transport properties of alkali metals. Oxford Blackwell 1985
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Morkel, C., Gronemeyer, C. Determination of the low ω cusp in the velocity autocorrelation spectrum of liquid sodium. Z. Physik B - Condensed Matter 72, 433–438 (1988). https://doi.org/10.1007/BF01314523
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01314523