ESTIMATION OF MONOMER REACTIVITY RATIOS BY NON-LINEAR LEAST-SQUARES PROCEDURE WITH CONSIDERATION OF WEIGHT OF EXPERIMENTAL-DATA
ESTIMATION OF MONOMER REACTIVITY RATIOS BY NON-LINEAR LEAST-SQUARES PROCEDURE WITH CONSIDERATION OF WEIGHT OF EXPERIMENTAL-DATA
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DOI：
10.1002/pol.1978.170160723
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发表时间：
1978-01-01
影响因子：
--
通讯作者：
OTSU, T
中科院分区：
文献类型：
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作者：
YAMADA, B;ITAHASHI, M;OTSU, T
为了获得两种单体之间反应性差异很大的共聚体系的单体竞聚率的最佳值，提出并讨论了考虑实验数据权重的非线性最小二乘法。对数据的权重进行了处理，以消除由单体的加入量、单体的密度、形成的共聚物的重量和共聚物的组成引起的误差。考虑权重的最小二乘法适用于刘易斯和马约推导的微分方程和积分方程。将该方法应用于α-取代巴豆酸酯与苯乙烯的自由基共聚反应，得到了合理的竞聚率。有人指出，从共聚物组成的错误是更重要的比那些从其他因素，并建议使用的集成方程，即使当共聚物是在低转化率分离。
To obtain the optimum values of the monomer reactivity ratios for the copolymerization systems with largely different reactivities between both monomers, a nonlinear least‐squares procedure which took into account the weights of experimental data, was proposed and discussed. The weights of the data were treated for the errors arisen from the amounts of monomers charged, the densities of monomers, the weights of copolymer formed, and the composition of copolymer. The least‐squares procedure with the consideration of the weights was applicable to both differentiated equation and integrated equation derived by Lewis and Mayo. This procedure was applied to radical copolymerizations of α‐substituted crotonic esters with styrene, and reasonable monomer reactivity ratios were obtained. It was noted that errors from the copolymer composition were more important than those from the other factors and that the use of the integrated equation was recommended even when the copolymers were isolated at low conversions.