The particle scattering factor P(ϑ) with Gaussian statistics for polydispersed systems has been treated. For a polystyrene sample with a sharp molecular weight distribution (Mw/Mn < 1.02, Mw = 1.5 X 106), the measured angular dependence of scattered intensity indicates that the polymer coil does obey Gaussian statistics. This holds for a range of concentrations provided the variation of the constant representing the radius of gyration with concentration is adjusted.
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Debye et al. (1963) studied this question.
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