Graduate School of Science and Engineering for Research, University of Toyama, 3190, Gofuku, Toyama 930-8555, Japan.
J Chromatogr A. 2011 Sep 23;1218(38):6639-45. doi: 10.1016/j.chroma.2011.07.018. Epub 2011 Aug 2.
This study deals with the application of the Wilke-Chang equation to the estimation of molecular diffusivity (Dm) in liquid phase systems including polar solutes and/or solvents. First, Dm of benzene in six different organic solvents was experimentally measured by the peak parking method. The value of association coefficient (α) was calculated from the Dm values by assuming that Dm can be represented by the Wilke-Chang equation. Then, the α value was correlated with the solubility parameter (δ) and ET of the solvents. Two different curved correlations were observed between α and the two physico-chemical parameters. This means that α of given solutes and solvents can be obtained from the values of δ and/or ET. Finally, Dm was estimated by a modified Wilke-Chang equation, which is derived by considering the aggregation of not only solvent molecules but also solute molecules. Although α is necessary for the estimation, it was calculated from δ for various solutes and solvents. The Dm values estimated were compared with those reported in literature. The mean square deviation between the Dm values was calculated less than 19% for 71 Dm data. It was demonstrated that the modified Wilke-Chang equation can be used for estimating Dm in liquid phase systems containing polar solutes and solvents.
本研究将威尔克-张方程应用于包括极性溶质和/或溶剂的液相体系中分子扩散系数(Dm)的估算。首先,通过峰停法实验测量了苯在六种不同有机溶剂中的 Dm 值。通过假设 Dm 可以用威尔克-张方程表示,从 Dm 值计算出缔合系数(α)。然后,将 α 值与溶剂的溶解度参数(δ)和 ET 相关联。在 α 和这两个物理化学参数之间观察到了两种不同的曲线相关性。这意味着可以从 δ 和/或 ET 值获得给定溶质和溶剂的 α 值。最后,通过考虑不仅溶剂分子而且溶质分子的聚集,对修正后的威尔克-张方程进行了估算。虽然 α 对于估算很重要,但它是根据各种溶质和溶剂的 δ 值计算的。估算的 Dm 值与文献中报道的值进行了比较。对于 71 个 Dm 数据,Dm 值之间的均方偏差计算值小于 19%。结果表明,修正后的威尔克-张方程可用于估算含有极性溶质和溶剂的液相体系中的 Dm。