Quantitative studies of rapid polymerization equilibrium by gel filtration. The z-average elution volume of a reaction boundary
Quantitative studies of rapid polymerization equilibrium by gel filtration. The z-average elution volume of a reaction boundary
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通过凝胶过滤快速聚合平衡的定量研究。
DOI：
10.1021/j100872a053
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发表时间：
1967
期刊：
影响因子：
--
通讯作者：
L. W. Nichol
中科院分区：
文献类型：
--
作者：
D. Winzor;J. Loke;L. W. Nichol
从公式6中可以清楚地看出，当Kn为零时，F2和F2* 变得相同，这对应于纯溶质的情况。在处理涉及两种物质浓度梯度的反应边界时，从实验获得的F2* 估算Vz需要计算积分Y。表I给出了n值从2到6（含）的积分的解析解;对于更高的n值也有解。因此，可以对n和Kn的任何指定值集计算积分。为了便于Y的一般化图形表示，方便的是引入参数，单体与应用浓度的重量比，以及Kn '，重量标度上的缔合常数，其通过等式7和8与先前定义的量相关; Mi是单体的分子量。O
It is clear from eq 6 that F2 and F2* become identical when Kn is zero, which corresponds to the case of a pure solute. In the treatment of reaction boundaries, involving concentration gradientsof both species, the estimation of Vz from the experimentally obtained F2* requires evaluation of the integral, Y. Analytical solu-tions to the integral for values of n from 2 to 6 inclusive are shown in Table I; solutions are also available for higher values of n. The integral may thus be evaluated for any specified set of values of n and Kn. To facilitate a generalized graphical representation of Y, it is convenient to introduce the parameters, the weight ratio of monomer to applied concentration, and Kn', the association constant on a weight scale, which are related to the previously defined quantities by eq 7 and 8; Mi is the molecular weight of monomer. o