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非线性聚合物平均分子量的一种新推导方法。

A new derivation of average molecular weights of nonlinear polymers.

作者信息

Macosko C W, Miller D R

出版信息

Macromolecules. 1976 Mar-Apr;9(2):199-206. doi: 10.1021/ma60050a003.

DOI:10.1021/ma60050a003
PMID:1263575
Abstract

A new method for calculating average molecular weights is presented for nonlinear polymers. In contrast to the previous methods of Flory and Stockmayer which first calculate the distribution of all species and then use the distributions to calculate average properties, the new method calculates these properties directly. In contrast to the method of Gordon, probability generating functions are not required. Starting with elementary probability and utilizing the recursive nature of network polymers property relations can be developed more simply. We illustrate the method for calculations of Mw Mz, and the gel point for a wide variety of polyfunctional polymerizations.

摘要

提出了一种计算非线性聚合物平均分子量的新方法。与弗洛里(Flory)和斯托克迈耶(Stockmayer)之前的方法不同,他们先计算所有物种的分布,然后用这些分布来计算平均性质,而新方法直接计算这些性质。与戈登(Gordon)的方法不同,该方法不需要概率生成函数。从基本概率出发,利用网络聚合物性质关系的递归性质,可以更简单地推导出相关公式。我们举例说明了该方法在计算多种多官能团聚合反应的重均分子量(Mw)、Z均分子量(Mz)和凝胶点方面的应用。

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