Chem. J. Chinese Universities

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Equilibrium Statistical Characteristics of Hyperbranched Reaction System of ABg Type

SONG Jian-Min1,2, WANG Hai-Jun1,3   

    1. College of Chemistry and Environmental Science, Hebei University, Baoding 071002, China;
    2. College of Sciences, Agriculture University of Hebei, Baoding 071001, China;
    3. International Center for Materials Physics, Chinese Academy of Sciences, Shenyang 110016, China
  • Received:2006-04-13 Revised:1900-01-01 Online:2006-12-10 Published:2006-12-10
  • Contact: WANG Hai-Jun

Abstract: The equilibrium statistical characteristics of hyperbranched reaction system of ABg type is studied from two viewpoints by using the principle of statistical mechanics. The equilibrium free energy and a relationship between the conversion and some thermodynamic quantities are obtained. Furthermore, two new methods that can be used to evaluate the number fraction distribution of hyperbranched polymers are reported. As an application, it is found that the effect of polymerization is significant on the equation of state proposed by the improved lattice-fluid theory.

Key words: Hyperbranched polymer, Partition function, Free energy, Equation of state

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