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首页> 外文期刊>Journal of Applied Polymer Science >A Linkage Moment Approach to Modeling Condensation Polymerization with Multiple Monomers. II. Extension to Nonlinear Polymers
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A Linkage Moment Approach to Modeling Condensation Polymerization with Multiple Monomers. II. Extension to Nonlinear Polymers

机译：一种链接矩方法，用于建模具有多个单体的缩聚反应。二。扩展到非线性聚合物

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摘要

In a previous article, a general model for the condensation copolymeriza- tion of mono and bifunctional monomers was developed in which the sequence length distribution was calculated statistically from the concentrations of linkages (e.g., -CONH-) labeled by the identities of the participating monomer units. A set of balance equations for the effect of each major reaction upon these concentrations, those of the end groups, and the moments of the chain-length distribution completed the general model framework for linear polymers. In this article, this technique is extended to the case of nonlinear polymerizations with multifunctional monomers capable of branch or gel formation. This modification is required because in nonlinear polymer- ization,the moments of the chain-length distribution diverge at the gel point, and the traditional description of the sequence length distribution is only well defined for macromolecules consisting of a single backbone chain. Although the balance equations for the end group and linkage concentrations present~d in the previous article are completely transferable, the statistical techniques must be modified to accommodate branch and network chain architectures. By coupling the general kinetic model with the recursive approach of Macosko and Miller for the calculation of soVgel properties, one can describe the microstructures of a wide variety of systems such as those in which the copolymer has a blocky microstructure caused by interchange reactions between mul- tiple components.
机译：在上一篇文章中，开发了单官能团和双官能团单体缩聚的通用模型，其中，序列长度分布是根据参与单体的身份标记的键合浓度（例如-CONH-）进行统计计算的单位。一组关于每个主要反应对这些浓度，端基浓度和链长分布矩的影响的平衡方程式，完成了线性聚合物的通用模型框架。在本文中，该技术扩展到使用能够支链或形成凝胶的多功能单体进行非线性聚合的情况。之所以需要进行这种修改，是因为在非线性聚合中，链长分布的矩在凝胶点处发散，并且传统上对序列长度分布的描述仅对由单个主链组成的大分子进行了很好的定义。尽管上一篇文章中介绍的末端基团和连接浓度的平衡方程是完全可以转移的，但必须修改统计技术以适应分支和网络链体系结构。通过将一般动力学模型与Macosko和Miller的递归方法相结合来计算soVgel性质，可以描述多种系统的微观结构，例如其中共聚物由于多分子之间的互换反应而形成的嵌段结构。倾斜的组件。

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