Molecular size distribution in ethylene oxide polymers

Molecular size distribution in ethylene oxide polymers
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DOI:
10.1021/ja01863a066
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发表时间:
1940-01-01
影响因子:
15
通讯作者:
Flory, PJ
Flory, PJ
中科院分区:
化学1区
文献类型:
--
作者:
Flory, PJ

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聚合物中x-链节的摩尔分数(不包括未反应的环氧乙烷)的通式(7)是泊松分布公式。从这里处理的问题的性质来看,很明显,没有上面的推导,各种大小的分子的数量必须由泊松分布表示。[15]为了指出(7)对粒度分布问题的适用范围,本文还包括了一个简短的动力学推导。重量分数分布通常比摩尔分数分布更令人感兴趣.由于x-mer物质的分子量由下式给出:
This general expression (7) for the mole fraction of x-mer in the polymer (exclusive of unreacted ethylene oxide) is Poisson’s distribution formula. From the nature of the problem dealt with here, it is obvious, without the above derivation, that the numbers of molecules of various sizes must be represented by Poisson’s distribution. 15A brief kinetic derivation has been included in order to point out the scope of applicability of (7) to size distribution problems. The weight fractiondistribution is usually of more interest than the mole fraction distribution. Since the molecular weight of the x-mer species is given by