Abstract
The three-parameter model of excluded volume is employed to calculate both the moments 〈R2n〉{n=2,3,...} of the end-to-end vector distance of a linear homopolymer and the average square moment 〈R2〉 for a single branch of an f-armed star. These results complement the calculations of 〈R2〉, the radius of gyration RG, the Kirkwood approximation to the hydrodynamic radius RH, and the second virial coefficient A2 for linear chains given in paper I. These calculations are intended to check the self-consistency of the ternary interaction theory against recent simulation data for lattice chains under theta conditions (A2=0) using the fact that higher moments and properties of branched polymers are more sensitive to the presence of ternary interactions. No free parameters are involved in the comparison, and the agreement between theory and numerical data is quite satisfactory. In addition, a general discussion is provided of differences in values of various polymer properties that can result from different methods of regularizing the continuum theory.
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