Angular distribution of rayleigh scattering from randomly branched polycondensates

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Abstract
The angular dependence of scattered light, P(X), from randomly branched homopolycondensates was calculated by using moment‐generating functions. Analytical expressions could be derived both for Gaussian sub‐chains and for sub‐chains obeying random flight statistics. For small X values (region of scattered visible light), P(X) can be well approximated by Zimm's formula: which holds for linear (f = 2) and branched polycondensates as well. At large X values (X‐ray small angle scattering), however, strong deviations from the linear Zimm formula appear. The effect of excluded volume alters the mean‐square radius of gyration but has no detectable influence on the shape of the particle scattering factor.

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