Excluded Volume Effect on the Radius of Gyration of Chain Polymers

概要

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The excluded volume effect on the radius of gyration of chain polymers is calculated, by assuming an approximate form for the distribution function of radius of gyration and an expression for the molecular volume for randomly coiling molecule. The result calculated for the expansion coefficient α of the radius of gyration can be written in the form: α^4 - α^2 = c・z・g(α), g(α) = (α^2 + 3)/4α where z is the interaction parameter of segments, and c is an adjustable constant. This equation shows that when α is not so large compared with unity, the value of α^4 - α^2 is nearly proportional to z. The adjustable constant c is put to be 134/105 so as to make the result coincide with that of the first order perturbation theory for very small |z|. Also when an allowable small correction is added to g(α), one can obtain a complete coincidence with the second order perturbation theory recently published (cf. ref. 8). The assumed molecular volume function is examined by comparing its values with the numerical data obtained by the Monte Carlo calculations, and its validity is confirmed.
社団法人日本物理学会の論文
1967-04-05