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4 Analysis of the Spatial Configurations of Chain Molecules
Moments of Distributions
The Freely Rotating Chain
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according to Eq approximation average axis bond angles bond lengths bond pairs bond rotations calculated chain molecules chain vector Chap Chapter characteristic ratio Chem column configuration conformational energy copolymer corresponding curve denote dependence difference dipole distance distribution function dyad effect elements equation experimental expressed factor follows freely jointed chain Gaussian groups helical helix Hence interactions isotactic kcal mole-1 long chains matrix minima molecular neighbors nonbonded interactions obtained occur P. J. Flory parameters partition function Phys planar PM chain polarizability Polymer Sci polymethylene polyoxymethylene polypeptide radius of gyration random coil range real chain reference frame repeating unit represented repulsions rotation angles rotational isomeric rotational potentials scattering sequence shown in Fig skeletal atoms skeletal bonds solvent specified statistical mechanical statistical weight statistical weight matrices structure symmetric syndiotactic temperature coefficient tensor Timasheff tion trans conformation transformation unperturbed values vinyl vinyl polymers virtual bond