GPC浓度效应模型理论推导补充

An Other Method for the Derivation of the Model Theory of Concentration Effects in Gel Permeation Chromatography

提出了一种以开始流体力学体积收缩浓度C_S作为起始边界条件来推导单分散和多分散高分子的有效流体力学体积和GPC峰值流出体积同分子量及其分布和浓度间的依赖性方法,最后结果证实它同以浓度为零作为起始边界条件所得到结果是完全一致的。其差别只在于起始有效流体力学体积收缩系数β。不同,前者,而后者β_0=e,当对同一高分子-溶剂体系,其C_S为定值,则为一常数。若令为一个常数后,结果使两种计算方法所得到的有效流体力学体积和GPC峰值流出体积同分子量及其分布和浓度依赖性关系式完全一致。

In this paper a new method for deriving the relations of effective hydrodynamic volumes and of peak elution volumes for mono- and polydispersed polymers in GPC to the molecular weight and its distribution and the concentration of solution was proposed. It is based on that the effective hydrodynamic volumes (V _(hCs)) of a solvated macromolccuie at a eritical definite dilution (Cs) is defined as For a given polymer-solvent system, the Cs and β_(oCs) are constants. When the [η]M is sub stituted by the V_(HCs), β_(oCs) the resultant relations of effective hydrodynamic volumes and of peak elution volumes for mono- and polydispersed polymers in GPC to the molecular weight and its distribution and the concentration of solution have the same forms as those obtained by the previous method.