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Statistical and thermodynamic properties of binary self-condensing vinyl polymerization

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Abstract

The thermodynamic properties of a binary self-condensing vinyl polymerization system consisting of monomers and inimers are investigated by the principle of statistical mechanics. In detail, in terms of two types of canonical partition functions constructed from different viewpoints, the equilibrium free energy, the law of mass action and the size distribution of hyperbranched polymers are obtained. As an application, the specific heat, equation of state and isothermal compressibility concerning the polymerization are given as well. To study the dimension of hyperbranched polymers in the system, a recursion formula satisfied by the (k+1)-th and k-th mean square radius of gyration is derived, and then the first, second and third radius of gyration under different solvent conditions are presented. The influences of the fraction of inimers, the conversion of vinyl groups and the solvent effect on the average dimension of hyperbranched polymers are discussed.

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Authors and Affiliations

  1. College of Chemistry and Environment Science, Hebei University, Baoding, 071002, China

    Fang Gu, HaiJun Wang & ZuoFei Zhao

  2. International Centre for Materials Physics, Chinese Academy of Sciences, Shenyang, 110016, China

    HaiJun Wang

  3. Key Laboratory of Medicinal Chemistry and Molecular Diagnosis, Ministry of Education, Hebei University, Baoding, 071002, China

    HaiJun Wang

Authors
  1. Fang Gu
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  2. HaiJun Wang
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  3. ZuoFei Zhao
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Correspondence to HaiJun Wang.

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Gu, F., Wang, H. & Zhao, Z. Statistical and thermodynamic properties of binary self-condensing vinyl polymerization. Sci. China Chem. 54, 438–445 (2011). https://doi.org/10.1007/s11426-011-4222-1

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  • DOI: https://doi.org/10.1007/s11426-011-4222-1

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