Abstract
A comparison is made of the second and the fourth moments of the end-to-end distances of several broken chain models with those of continous stiff chains. A shift factor f is introduced in such a way that n=fLD, where n is the degree of polymerization in the broken chain, L is the contour length and L/D is the mean square end-to-end distance in the limit of the long stiff chain. A single f-value is found to yield a good coincidence of both the second and the fourth moments of the end-to-end distance of the broken chain with those of the stiff chain. Values of the shift factor f which make the best coincidence of the conformations of the broken chains and the stiff chain are 1.66 for the freely rotating chain, 10.49 for the polymethylene chain and 9.18 for the chain with independent hindrance-potentials of the polymethylene type.
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Maeda, H., Saito, N. & Stockmayer, W. Comparison between the Conformations of Short Broken Chains and Stiff Chains. Polym J 2, 94–100 (1971). https://doi.org/10.1295/polymj.2.94
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DOI: https://doi.org/10.1295/polymj.2.94