Calculation of Network Parameters of Crosslinked Markovian Polymer Chains

Abstract

Linear copolymer chains form in a chain-addition reaction which includes initiation, homopropagation, crosspropagation, and termination by transfer, disproportionation, and combination. Chain growth obeys the Markov property. Multiple types of monomer units are involved; some types have reactive site, others do not. These chains are then crosslinked by a small monomer crosslinker which may be polydispersed. The resulting network consists of soluble, pendant, and elastically effective fractions. Using classical Markov chain analysis techniques, various statistical properties of the polymer chains are computed. The gel point, weight fractions and other network properties can then be computed. The effects of unequal rates of homopropagation and crosspropagation can be observed. keywords: Chain copolymerization, Reprint.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1989
Accession Number
ADA210073

Entities

People

  • Douglas R. Miller

Organizations

  • University of Minnesota

Tags

DTIC Thesaurus Topics

  • Classification
  • Copolymers
  • Differential Equations
  • Disproportionation
  • Engineering
  • Equations
  • Markov Chains
  • Markov Models
  • Materials
  • Military Research
  • Operations Research
  • Polymer Chemistry
  • Polymers
  • Probability
  • Probability Distributions
  • Random Variables
  • Time Intervals

Readers

  • Mathematical Modeling and Probability Theory.
  • Polymer Science and Technology

Technology Areas

  • Microelectronics