Theory of Dilute Polymer Solutions (I) Chain Configuration and Light Scattering

抄録

Statistical properties of a single polymer-chain in a continuous medium are studied on the basis of the pearl-necklace model. Proper account is taken of the spatial interference between segments and of the effect of a heat of interaction between solvent and polymer. The 2m-th moment of the distribution function of the distance between k-th and l-th segments ⟨R_kl^2m⟩, the mean square distance between k-th segment and the molecular center of mass ⟨S_k²⟩, and the mean square radius of gyration ⟨S²⟩ are calculated by using Ursell-Mayer-Tera-moto’s method of expanding the chain phase integral. The results obtained are of non-Markoffian character at any temperature but the Flory point, and are qualitatively in consistency with the experimental data of lattice chain obtained by direct counting of its configurations. The angular distribution of scattered light is also calculated and a method is proposed to evaluate ⟨S²⟩ by the dissymmetry method.