Churaev NV, Setzer MJ, Adolphs J
Laboratory of Thin Liquid Layers, The Institute of Physical Chemistry of the Russian Academy of Sciences, Leninsky Prospect 31, Moscow, 117915, Russia
J Colloid Interface Sci. 1998 Jan 15;197(2):327-33. doi: 10.1006/jcis.1997.5292.
Using an exponential form of an isotherm of adsorption the excess surface free energy of a solid surface covered with an adsorption or wetting film Deltagammasv was calculated on the basis of Gibbs equation starting from the state of an infinitely thick film. Isotherms of adsorption and of excess surface free energy were calculated for different values of two parameters that characterize the range of action of surface forces and corresponding decay length. In the case of partial wetting of a solid surface, isotherms consisting of two exponential terms were used, as was proposed earlier by A. Adamson. Equilibrium contact angles that are formed with droplets of bulk liquid were calculated using the Frumkin-Derjaguin approach in dependence on the parameters of isotherms. Calculations of contact angles that are formed between convex capillary menisci in thin pores, at relative vapor pressure lower than 1, have shown that a transition from partial wetting of a lone solid surface (at p/ps = 1) to complete wetting in thin pores (at p/ps < 1) may occur. Corresponding threshold values of relative vapor pressure and pore radii were calculated. In the case of complete wetting, corrections for capillary pressures that arise due to formation of a transition zone between wetting films and curved meniscus surfaces were estimated. The calculations are limited by the values of relative vapor pressure near saturation when thick enough wetting films are formed on pore surfaces. Due to the application of model isotherms with some adopted parameters, the results obtained are qualitative in nature. However, the methods of calculation developed for the excess free energy of solid surfaces covered with thin adsorption of thicker wetting films and of contact angles outside and inside thin pores may be of general interest. Copyright 1998 Academic Press. Copyright 1998Academic Press
利用吸附等温线的指数形式,基于吉布斯方程,从无限厚膜的状态出发,计算了覆盖有吸附或润湿膜的固体表面的过剩表面自由能Δγsv。针对表征表面力作用范围和相应衰减长度的两个参数的不同值,计算了吸附等温线和过剩表面自由能等温线。在固体表面部分润湿的情况下,采用了由A. 亚当森先前提出的由两个指数项组成的等温线。使用弗鲁姆金 - 杰里亚金方法,根据等温线参数计算了与本体液体液滴形成的平衡接触角。对于细孔中凸形毛细管弯月面在相对蒸气压低于1时形成的接触角的计算表明,可能会发生从孤立固体表面的部分润湿(在p/ps = 1时)到细孔中的完全润湿(在p/ps < 1时)的转变。计算了相应的相对蒸气压阈值和孔径。在完全润湿的情况下,估算了由于在润湿膜和弯曲弯月面表面之间形成过渡区而产生的毛细管压力校正。计算限于在孔表面形成足够厚的润湿膜时接近饱和的相对蒸气压值。由于应用了具有一些采用参数的模型等温线,所获得的结果本质上是定性的。然而,为覆盖有薄吸附或较厚润湿膜的固体表面的过剩自由能以及细孔外部和内部的接触角开发的计算方法可能具有普遍意义。版权所有1998年学术出版社。版权所有1998年学术出版社