Ivanov Ivan B, Marinova Krastanka G, Danov Krassimir D, Dimitrova Dora, Ananthapadmanabhan Kavssery P, Lips Alex
Laboratory of Chemical Physics & Engineering, Faculty of Chemistry, University of Sofia, 1164 Sofia, Bulgaria.
Adv Colloid Interface Sci. 2007 Oct 31;134-135:105-24. doi: 10.1016/j.cis.2007.04.019. Epub 2007 May 3.
A theory accounting for the effect of the counterions on the adsorption constant, K, is proposed. The experimental values of K were determined by using surface and interfacial tension isotherms measured by us or available in the literature. By accounting for the adsorption energy u 0 of the counterion, a generalization of Gouy equation and a modified expression for the adsorption constant, K, are derived. The adsorption energy is calculated from the London equation, which involves the polarizabilities alpha 0i and the ionization potentials Ii of the respective components and the radius Rh of the hydrated ion. By careful analysis of the available experimental data for alpha 0i, Ii and Rh, coupled with some reasonable hypothesis, we succeeded to obtain linear dependences between the calculated values of u 0 and the experimental data for lnK with slopes rather close to the theoretical ones. The obtained results for u 0 were used to calculate the disjoining pressure isotherms of foam films stabilized by DTAF, DTACl and DTABr. It turned out that the type of the counterion has significant effect on the disjoining pressure.
提出了一种解释抗衡离子对吸附常数K影响的理论。K的实验值是通过使用我们测量的或文献中可用的表面和界面张力等温线来确定的。通过考虑抗衡离子的吸附能u 0,推导出了古依方程的推广形式和吸附常数K的修正表达式。吸附能由伦敦方程计算得出,该方程涉及各组分的极化率α 0i、电离势Ii以及水合离子的半径Rh。通过仔细分析α 0i、Ii和Rh的现有实验数据,并结合一些合理假设,我们成功地得到了u 0的计算值与lnK的实验数据之间的线性关系,其斜率与理论值相当接近。u 0的所得结果用于计算由DTAF、DTACl和DTABr稳定的泡沫膜的分离压力等温线。结果表明,抗衡离子的类型对分离压力有显著影响。