| ABg型超支化反应体系的平衡统计特征 |
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| 引用本文： | 宋建民,王海军. ABg型超支化反应体系的平衡统计特征[J]. 高等学校化学学报, 2006, 27(12): 2426-2429 |
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| 作者姓名： | 宋建民 王海军 |
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| 作者单位： | 1. 河北大学化学与环境科学学院,保定,071002;河北农业大学理学院,保定,071001
2. 河北大学化学与环境科学学院,保定,071002;中国科学院国际材料物理中心,沈阳,110016 |
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| 基金项目： | 国家自然科学基金(批准号:20303006)，河北省自然科学基金(批准号:B2006000959)资助. |
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| 摘 要： | 应用统计力学原理, 从两种不同角度对ABg型超支化反应体系中的平衡特征进行研究, 得到该体系平衡自由能以及反应程度与热力学量之间关系的解析表达式. 进一步指出获得超支化高分子数量分布函数的两种新方法, 并结合改进的高分子格子流体理论探讨了聚合反应对体系状态方程的影响.
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| 关 键 词： | 超支化高分子 配分函数 自由能 状态方程 |
| 文章编号： | 0251-0790（2006）12-2426-04 |
| 收稿时间： | 2006-04-13 |
| 修稿时间： | 2006-04-13 |
Equilibrium Statistical Characteristics of Hyperbranched Reaction System of ABg Type |
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| SONG Jian-Min,WANG Hai-Jun. Equilibrium Statistical Characteristics of Hyperbranched Reaction System of ABg Type[J]. Chemical Research In Chinese Universities, 2006, 27(12): 2426-2429 |
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| Authors: | SONG Jian-Min WANG Hai-Jun |
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| Affiliation: | 1. College of Chemistry and Environmental Science, Hebei University, Banding 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 |
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| Abstract: | The equilibrium statistical characteristics of hyperbranched reaction system of AB_ g 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. |
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| Keywords: | Hyperbranched polymer Partition function Free energy Equation of state |
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