ISSN:
0022-3832
Keywords:
Chemistry
;
Polymer and Materials Science
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Chemistry and Pharmacology
,
Physics
Notes:
The local regularity of chain substances composed of N linked elements, of which each can be in either of two states, the L-configuration and the H-configuration, is examined by means of statistical-mechanical calculations. Introducing a virtual boundary energy at every boundary between the L-regions, consisting of elements of the L-configuration only, and H-regions of H-configuration elements only, we can deduce any average property of the chain from the logarithmic differentiation of the largest eigen-value of the transition matrix. The average numbers of L- and H-elements are NL = NB/(B + 1) and NH = N/(B + 1), respectively; that of L- or H-parts is n = NLNH/N, and those of elements per L-part and per H-part are 〈l〉 = N/NH and 〈h〉 = N/NL, respectively, where B = exp {J/kT}, k is the Boltzmann constant and T the temperature. We can show the usual combinatory method gives the same results. Application of these relationships to a discussion of the stereospecificity of vinyl polymerization is referred to.
Additional Material:
2 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/pol.1960.1204614714
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