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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.
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A. Isihara (1951) studied this question.
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