Theory of High Polymer Solutions (The Dumbbell Model)

Abstract

Following the theories of McMillan, Mayer, and Zimm, and extending the previous theories of the author, the second virial coefficient A₂ for high polymer solutions of the dumbbell model is calculated. The results are rigorous within the approximation of rigid‐body potential. A₂ varies smoothly with l/R, where R is the radius of spheres of the dumbbell and l is their separation. Based on the present results, comparisons between the gas and the lattice theories are made.