The static structure factor of a system of fully aligned rod-like macroions
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The static structure factor for fully aligned charged rod-like macromolecules is calculated from the Ornstein-Zernike equation in MSA-closure. The hard-core of the macroions is taken ellipsoidal. The reason for choosing ellipsoidal hard-cores is that the ellipsoid-of-nearest approach is conveniently mapped on the spheres by a simple contraction of the axis of alignment. The direct correlation function inside the contracted hard-core is expanded in a power series. The closure relation for the total correlation function is then satisfied if a certain non-linear functional in the expansion coefficients is zero. The numerical values for a finite set of expansion coefficients for which this functional is minimum are obtained by numerical methods.
Key wordsRod-like macromolecules static structure factor light scattering
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- 1.For an extensive overview of the MSA-approximation and its relation to the Poisson-Boltzmann equation see: Blum L (1980) In: Eyring H, Henderson D (eds) Theoretical Chemistry: Advances and perspectives, Vol 5, Academic Press, pp 1–63Google Scholar