Derivation of Number Average Degree of Polycondensation from Reaction Steps

Jian-guo YANG

doi:10.14028/j.cnki.1003-3726.2011.01.013

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Derivation of Number Average Degree of Polycondensation from Reaction Steps

更新时间：2022-09-18

- Derivation of Number Average Degree of Polycondensation from Reaction Steps
- Polymer Bulletin Vol. 24, Issue 1, Pages: 109-112(2011)
- 作者机构：
  
  安徽工业大学化学与化工学院，马鞍山　243002
- 作者简介：
- 基金信息：
- DOI：10.14028/j.cnki.1003-3726.2011.01.013
  CLC：
- Published：2011-01，
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Jian-guo YANG. Derivation of Number Average Degree of Polycondensation from Reaction Steps. [J]. Polymer Bulletin 24(1):109-112(2011)
DOI：

Jian-guo YANG. Derivation of Number Average Degree of Polycondensation from Reaction Steps. [J]. Polymer Bulletin 24(1):109-112(2011) DOI： 10.14028/j.cnki.1003-3726.2011.01.013.

摘要

聚合度计算是缩聚反应学习的重要内容之一。本文从聚合度的定义出发

根据反应步数与聚合物分子数之间的关系

简易地推导了线型缩聚2-2 型单体体系

a-A-a+b-B-b

、2-2+1 型单体体系

a-A-a+ b-B-b+C-b

以及2+1型单体体系

a-A-b+C-b

达到一定反应程度时统一形式的数均聚合度计算公式:

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。这种推导方法思路清晰

便于理解

能够充分体现缩聚反应的逐步特性

推导过程中的数学处理也使摩尔系数

的含义更加明确、具体。

Abstract

Calculation formula of degree of polymerazation is an important content in studying polycondensation theory.In this paper

the unified formula of number average degree of polymerization

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according to the definition of degree of polymerization were derived from reaction steps for linear polycondensation

including 2-2 type monomers of

a-A-a+b-B-b

2-2+ 1 type monomers of

a-A-a+b-B-b+C-b

and 2+1 type monomers of

a-A-b+C-b

.The characteristics of stepwise growth are fully reflected by this method

which is clear and easy to understand. Moreover

the implication of stoichiometric ratio "

" becomes more clear and specific in the mathematical derivation of calculation formula of degree of polymerization.

关键词

缩聚反应聚合度摩尔系数

Keywords

PolycondensationDegree of polymerizationStoichiometric ratio

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School of Material Science & Engineering, Henan University of Technology

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