Effects of electrical image potentials on the salt ion concentration near a solid wall are studied using a one-loop approximation treatment of the grand canonical partition function, which is the Debye-Hückel approximation. Electrical image potentials resulting from both metallic and dielectric walls of dielectric constant larger than that of water near the wall are considered. Our treatment of this problem supports the conclusions of an earlier publication by one of the authors which shows that near a solid wall there should be a high concentration of ions, resulting from image potentials. We have also applied our treatment to the increase of the surface tension of a liquid that occurs when salt is dissolved in the liquid. Our treatment gives the $-c_{s}log\left(c_s\right)$ dependence of the surface tension found by Onsager and Samarasa in the small $c_s$ limit, where $c_s$ is the salt concentration.

中文翻译：

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由于图像电位而导致壁附近盐溶液中离子浓度的增加以及由于存在盐而导致表面张力的增加

使用盛大规范分配函数的单环近似处理（即Debye-Hückel近似）研究了电图像电势对固体壁附近盐离子浓度的影响。考虑了由介电常数大于壁附近的水的介电常数的金属壁和介电壁产生的图像电势。我们对该问题的处理支持了其中一位作者较早发表的结论，该结论表明，在固体壁附近应该存在由于图像电势引起的高浓度离子。我们还对盐溶解在液体中时所产生的液体表面张力的增加进行了处理。我们的治疗使$-C_s日志（C_s）$ Onsager和Samarasa在小范围内发现的表面张力依赖性 $C_s$ 极限，在哪里 $C_s$ 是盐浓度。