论文标题

由表面粗糙度和离子尺寸不对称驱动的分子尺度离子分离:EDL差异电容的新分析溶液

Molecular scale ion separation driven by surface roughness and ion size asymmetry: new analytical solutions for differential capacitance of EDL

论文作者

Khlyupin, Aleksey, Nesterova, Irina, Gerke, Kirill

论文摘要

电极表面粗糙度显着影响电动双层在分子尺度上的结构。我们得出了在粗糙电极表面附近电气电容(DC)的分析溶液,并将其与一系列实验和数值研究进行了比较。考虑了离子分离的两个原因:离子尺寸不对称和电极表面粗糙度。该模型具有确定直流属性的三个比例参数:debye长度,离子穿透深度差和表面粗糙度参数。由于考虑离子的重新定向效应,在分析上首次获得了两个以上峰的DC曲线。该模型可以预测直流曲线从钟形到骆驼的变化,并通过电极表面粗糙度诱导的逆向。 DC电位关系与温度和离子尺寸比的行为取决于离子分离的类型。此外,我们为零电荷潜力提供了分析解决方案,并证明了对其价值的粗糙度影响。根据结果​​,我们为设计有效的电动双层电容器所需的属性提供了建议。

Electrode surface roughness significantly impacts the structure of electric double layer on a molecular scale. We derive analytical solutions for differential capacitance (DC) of electric double layer near rough electrode surface, comparing them with a range of experimental and numerical studies. Two causes of ions separation are considered: ion size asymmetry and electrode surface roughness. The model has three scale parameters determining DC properties: the Debye length, difference of ion penetration depths, and surface roughness parameter. For the first time, DC profile with more than two peaks was obtained analytically due to account for ions reorientation effect. The model predicts DC curve transform from bell to camel and inverse induced by electrode surface roughness. The behavior of DC-potential relation with temperature and ion size ratio diverges depending on the type of ions separation. Additionally, we provide analytical solutions for zero charge potential and demonstrate roughness effect on its value. Based on the results, we give recommendations for properties required to design effective electric double layer capacitors.

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