López-García José Juan, Horno José, Grosse Constantino
Departamento de Física, Universidad de Jaén, Campus Las Lagunillas, Ed. A-3, 23071 Jaén, Spain.
Departamento de Física, Universidad Nacional de Tucumán, Av. Independencia 1800, San Miguel de Tucumán 4000, Argentina.
Micromachines (Basel). 2023 Jan 31;14(2):368. doi: 10.3390/mi14020368.
The electric AC response of electrolytic cells with DC bias is analyzed solving numerically the Poisson-Nernst-Planck equations and avoiding the commonly used infinite solution approximation. The results show the presence of an additional low-frequency dispersion process associated with the finite spacing of the electrodes. Moreover, we find that the condition of fixed ionic content inside the electrolytic cell has a strong bearing on both the steady-state and the frequency response. For example: the characteristic frequency of the high-frequency dispersion decreases when the DC potential increases and/or the electrode spacing decreases in the closed cell case, while it remains essentially insensitive on these changes for open cells. Finally, approximate analytic expressions for the dependences of the main parameters of both dispersion processes are also presented.
分析了具有直流偏置的电解池的交流响应,通过数值求解泊松 - 能斯特 - 普朗克方程,避免了常用的无限解近似。结果表明存在与电极有限间距相关的额外低频色散过程。此外,我们发现电解池内固定离子含量的条件对稳态和频率响应都有很大影响。例如:在封闭电池情况下,当直流电势增加和/或电极间距减小时,高频色散的特征频率降低,而对于开放电池,它对这些变化基本不敏感。最后,还给出了两个色散过程主要参数依赖性的近似解析表达式。