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The radius of gyration for a ternary self-condensing vinyl polymerization system

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Abstract

A ternary self-condensing vinyl polymerization (SCVP) system consisting of monomers, inimers and core initiators is studied by the principle of statistical mechanics. Starting from partition functions for polymerization that constructed from two different viewpoints, explicit expressions of the size distribution function (SDF), equilibrium free energy, and the law of mass action are obtained. For two types of hyperbranched polymers (HBPs) formed in the system, the first, the second, and the third mean-square radii of gyration (MSRG) are presented under various conditions. Furthermore, the solvent effect and excluded volume effect are taken into account in the calculation of the MSRG. With these results, the effects of monomers, inimers and core initiators on the spatial dimension of HBPs are discussed. It is shown that the competition between polymers with and without a core in the growing process results in a significant influence on the average properties of the system.

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Authors and Affiliations

  1. College of Physical Science and Technology, Hebei University, Baoding, 071002, China

    Xiaozhong Hong

  2. Faculty of Physics and Electronic Information, Langfang Teachers University, Langfang, 065000, China

    Zuofei Zhao

  3. College of Chemistry and Environmental Science, Hebei University, Baoding, 71002, China

    Haijun Wang & Xinwu Ba

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

    Haijun Wang

Authors
  1. Xiaozhong Hong
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  2. Zuofei Zhao
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  3. Haijun Wang
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  4. Xinwu Ba
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Correspondence to Zuofei Zhao or Haijun Wang.

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Hong, X., Zhao, Z., Wang, H. et al. The radius of gyration for a ternary self-condensing vinyl polymerization system. Sci. China Chem. 58, 1875–1883 (2015). https://doi.org/10.1007/s11426-015-5426-6

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  • DOI: https://doi.org/10.1007/s11426-015-5426-6

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