Step-growth polymerizing systems of general type “AfiBgi”: calculating the radius of gyration and the g-curve using generating functions and recurrences

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Abstract

Step-growth polymerized systems of general type “AfiBgi” are considered. One or more of the monomer species carries at least three reactive groups and thus can act as a branching point in a polymeric molecule. An algorithmic method is presented to calculate the topology-averaged square radius of gyration, R 2[s], of the molecules in the class of s-mers. The degree of polymerization, s, may run through its full range. In addition to R 2[s], the shrinking factor, g[s], is calculated. The method uses integer arithmetic, generating functions, and computer algebra. (Figure presented.).

Original languageEnglish
Article number1600093
Number of pages9
JournalMacromolecular Theory and Simulations
Volume26
Issue number3
DOIs
Publication statusPublished - 1 May 2017

Keywords

  • branched polymers
  • Kuhn's length
  • shrinking factor

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