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General matrix formula for the weight-average molecular weights of crosslinked polymer systems

✍ Scribed by Hidetaka Tobita

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
171 KB
Volume
36
Category
Article
ISSN
0887-6266

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✦ Synopsis

On the basis of the first-order Markovian statistics, we propose a general matrix formula for the weight-average molecular weight of crosslinked polymer systems, explicitly given by M w Ο­ M w,0 Ο© WX 0 (I ؊ X) Οͺ1 S f . This equation is valid for both step and chain-growth polymerizations, including those in a nonequilibrium state irrespective of the reactor types used. In the context of the present theory, the onset of gelation is simply stated as a point at which the largest eigenvalue of the matrix X reaches unity (i.e., det(I ؊ X) Ο­ 0). The present theory provides a unified point of view for various types of gelling systems.

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