Abstract

AbstractStarting from Debyes theory the problem of x‐ray and visible light scattering of chain molecules in solution is shown to be essentially a problem of distance statistics. The exact calculation of the average \documentclass{article}\pagestyle{empty}\begin{document}$\overline {r^4 }$\end{document} is carried out for a simple model in order to characterize the distance distribution functions as to their width. On that basis a refined approximation of the scattering function is available. By a numerical example the essential features of the preliminary theory are corroborated. It is shown that the scattering function of a coiled chain molecule approaches asymptotically that of the corresponding rigid rod.

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