On the dynamic structure factor, S(q,[omega]), of polymers in dilute solution

Abstract

In principle, interpretation of dynamic scattering experiments requires theoretical calculation of either intermediate scattering functions S(q,t) or dynamic structure factors S(q,[omega]). Although dynamic scattering experiments can be interpreted through the use of the `characteristic frequency' (or `first cumulant') [Omega](q). The precision of extracting [Omega](q) is greatly improved by using a normalized shape function. Due to the difficulty in obtaining analytical results, in this paper we present numerical calculations of the normalized shape function in the frequency domain. These results can be used to facilitate the extraction of [Omega](q) from S(q,[omega]) directly both in light and neutron dynamic scattering experiments.