Abstract
The topology of networks formed by random cross-linking of star polymers having A arms is investigated. It is shown that simple relationships exist between the molecular weight Mc between junctions, the number average molecular weight Mn of the primary star arms, the cycle rank ζ, the total number density μ/Vo of junctions, and the average junction functionality φav for regular networks having no defects other than chain ends. The revised Flory-Erman theory treating entanglements as restrictions on junction fluctuations is used to predict moduli and swelling equilibrium properties of cis-polyisoprene networks prepared from 3-arm and 4-arm polymers of varying Mn.
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