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在这篇文章中,我们得到以下几个结论: 1.建议了一种简便的计算方法,不必知道分子量分布函数,单纯从几率考虑,就能推导出重均分子量的表示式。根据疑胶化条件由重均分子量趋于无穷大来确定的原则,我们也就相应地建议了从几率考虑出发,推导凝胶化条件的方法;这种推导方法,十分简便,应用面也很广。 2.应用我们所建议的方法,推导了多种反应类型的凝胶化条件,前人以及作者以往所得到的凝胶化方面的理论结果,都只是其中的一小部分。此外,我们得到很多重要反应类型,例如酸酐及混合多元酸的酯化、胺化反应、环氧的开环反应、酚醛反应以及双磷类加聚反应等的凝胶化条件,它们对解释实验结果及控制反应的碍胶化现象会有很大用处;当然,理论本身还有待于大量实验来验证与发展。 3.指出不管反应过程中有无内环化现象,凝胶化条件的表示式相同;但当有内环化 时,公式中的反应程度应该指分子间作用的反应程度,而不是指总的反应程度。
In this article, we get the following conclusions: 1. It is suggested that a simple calculation method, without having to know the molecular weight distribution function, simply based on probability, we can deduce the expression of weight average molecular weight. Based on the principle that the degree of gelation is determined by the tendency of the weight average molecular weight to infinity, we also propose a method to derive the gelation conditions from the viewpoint of probability. This method of derivation is very simple and has a wide range of applications . 2. Using the proposed method, we derive the gelation conditions for many reaction types. The theoretical results of previous studies on gelation obtained by our predecessors and authors are just a few of them. In addition, we have obtained many important reaction types such as esterification, amination, epoxy ring-opening, phenol-formaldehyde reaction and diphosphate addition polymerization of anhydrides and mixed polybasic acids. Results and control of the reaction obstructing the phenomenon will be of great use; of course, the theory itself has yet to be a large number of experiments to verify and develop. It is pointed out that the gelation conditions are the same regardless of the internal cyclization phenomenon during the reaction, but the degree of reaction in the formula should refer to the reaction degree of the intermolecular interaction when there is cyclization, rather than the total Level of reaction.