The relation derived theoretically by Kuhn to represent the probability of a given length (i.e. distance from end to end) for a thermally fluctuating paraffin molecule applies only when the number of chain atoms is large, and when the length is small compared with the length of the fully extended molecule. The present paper outlines methods by which the distribution of lengths over the whole range may be derived for molecules of any chain length. The results for paraffin chains of 3, 4, 5, 10, 20, 40 and 80 "links" are given. For the higher members of the series the departures from the Kuhn formula increase rapidly as the length approaches that of the extended chain. This result is of importance in the development of the kinetic theory of elasticity of rubber.
No takes yet. Share an insight, caveat, or question.
L. R. G. Treloar (1943) studied this question.
Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context: