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Statistical mechanics approach to a general hyperbranched polymer system consisting of AB(g) monomers and C-f cores
Z. F. Zhao; Y. F. Li; N. Yao; H. J. Wang; X. W. Ba
2014
Source PublicationPolymer
ISSN0032-3861
Volume55Issue:2Pages:686-697
AbstractA general hyperbranched polymerization system that consists of AB(g) monomers and C-f cores is studied by the principle of statistical mechanics. Two types of partition functions for the polymerization are constructed from different viewpoints, and then the explicit expressions of equilibrium size distribution function, equilibrium free energy as well as the law of mass action are obtained. To investigate the average properties of the system, the number-, weight-average degree of polymerization and polydispersity index are derived. Especially, to investigate the average spatial dimension of the hyperbranched polymers, the mean square radius of gyration is presented as a focus and the influence of unequal reactivity on which is taken into account. As an application, several thermodynamic properties such as the equation of state, isothermal compressibility and specific heat are calculated. In addition, some structural parameters of hyperbranched polymers are also presented under various conditions. The results show that two types of competitions take place during the growing course of hyperbranched polymers, and the reactivity parameter has significant effect on the competitions, which are closely related to the thermodynamic properties and spatial dimension of the hyperbranched polymers. (C) 2013 Elsevier Ltd. All rights reserved.
description.department[zhao, zuo-fei ; li, yuan-feng ; yao, ning] langfang teachers univ, fac phys & elect informat, langfang 065000, peoples r china. [wang, hai-jun ; ba, xin-wu] hebei univ, coll chem & environm sci, baoding 071002, peoples r china. [wang, hai-jun] chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china. ; zhao, zf (reprint author), langfang teachers univ, fac phys & elect informat, langfang 065000, peoples r china. ; zhaozuofei2008@126.com ; whj@mail.hbu.cn
KeywordFree Equilibrium Energy Unequal Reactivity Mean Square Radius Of Gyration Condensing Vinyl Polymerization Molecular-weight Distribution Mean-square Radii Conversion Dependence Multifunctional Core Branched Polymers Kinetic-analysis Ab(2) Monomer Step-growth Ab(n) N=2
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Language英语
Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/72508
Collection中国科学院金属研究所
Recommended Citation
GB/T 7714
Z. F. Zhao,Y. F. Li,N. Yao,et al. Statistical mechanics approach to a general hyperbranched polymer system consisting of AB(g) monomers and C-f cores[J]. Polymer,2014,55(2):686-697.
APA Z. F. Zhao,Y. F. Li,N. Yao,H. J. Wang,&X. W. Ba.(2014).Statistical mechanics approach to a general hyperbranched polymer system consisting of AB(g) monomers and C-f cores.Polymer,55(2),686-697.
MLA Z. F. Zhao,et al."Statistical mechanics approach to a general hyperbranched polymer system consisting of AB(g) monomers and C-f cores".Polymer 55.2(2014):686-697.
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