Light scattering of spheroids. I. Extension of the Rayleigh-Gans-Stevenson functions and their application for molecular weight and shape determinations at θ = 90°

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Abstract
The Stevenson extension of the Rayleigh‐Gans theory on the light scattering by spheroids at an angle of observation θ of 90° with respect to the incident beam was supplemented by the inclusion of θ as a further variable. The somewhat lengthy equations were evaluated for various values of the parameters α, p, θ, and m. Because of the inclusion in the Stevenson theory of the quadrupole contribution, the new data should allow one to determine the molecular weight M up to about 100 million (or the corresponding particle weight) and the axial ratio p of spheroidal bodies assuming the use of visible radiation. Detailed theoretical results are given for θ=90°, and a relatively simple practical procedure is outlined for the simultaneous determination of M and p at θ=90°.