Generating Functions in Polymer Science

Generating Functions in Polymer Science Table 17.3 Peak heights of a-olefins related to number of carbon atoms... 

Since probability-generating functions are not often used in polymer science, we first give a brief outline of the properties before applying them to the problems of branched polymers. 

Now being well developed, supramolecular polymer chemistry has definitely formed an important area in polymer science. With the advent of new synthetic methodologies, most of all the click reaction, the inherent drawback of designed attachment of supramolecular entities to polymers has now been solved efficiently. Moreover, the enormously high efficiency of these reactions enable generation of functionalized polymer molecules approaching the purity of... 

The field of generating functions was actually opened to polymer science with the work of Burchard [1], DuSek [2], and Gordon [4]. Gordon introduced the cascade theory [5] to derive finally the degree of polymerization in various systems. In contrast to radical polymerization the concept of directionality [6] is not of importance for equilibrium condensation reactions. Extensive work on the subject has been done by Tang [26, 27]. 

Fig. 34. Average paitide size as a function of cure temperature for different rubber (ETBN) modified epoxies fbased on DGEBA) a) and b) differ in the nature of the rubber while c) corresponds to a different diamine (Reprinted from Journal of Applied Polymer Science, 42, D. Verchte, J.P. Pascault, H. Sautereau, S.M. Moschiar, C.C. Ric-cardi, R.J.J. Williams, RubiKr-modified epoxies. II. Influence of the cure schedule and rubber concentration on the generated morophology, 701-716, Copyright (1991), with kind permission from John Wiley Sons, Inc., New York, USA)...

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