Random Coil Configurations and Light Scattering by Chain Polymers

概要

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The angular distribution of the intensity of light scattered by chain polymers with intramolecular interactions is calculated approximately. The mean square distance between arbitrary two segments in polymer chain is determined from the corresponding mean distance in the random coil configuration which this polymer would take if the intramolecular interaction vanishes, and whose radius of gyration is equal to the mean radius of gyration of this polymer. The scattering function P(θ) obtained is a decreasing function of the expansion coefficient α of polymer as well as the variable X: X=(4π/λ)^2<R^2>_0sin^2θ/2, where θ is the scattering angle, λ is the wave length of light and <R^2>_0 is the mean square radius of gyration of polymer in case of no intramolecular interaction. P(θ) can be represented by using the error integral except the case of α=1, and two series expansion forms for small and very large X are obtained.
社団法人日本物理学会の論文
1969-02-05