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.
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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
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DOI: https://doi.org/10.1007/BF01314523