(06/12/2018) Determination of the Resistance of Cone-Shaped Solid Electrodes A cone-shaped electrode pressed into an electrolyte can with advantage be utilized to characterize the electro-catalytic properties of the electrode, because it is less dependent on the electrode microstructure than e.g. thin porous composite electrodes, and reactions with the electrolyte occurring during processing can be avoided. Newman's formula for current constriction in the electrolyte is then used to deduce the active contact area based on the ohmic resistance of the cell, and from this the surface specific electro-catalytic activity. However, for electrode materials with low electrical conductivity (like Ce1-xPrxO2-δ), the resistance of the cell is significantly influenced by the ohmic resistance of the cone electrode, wherefore it must be included. In this work the ohmic resistance of a cone is modelled analytically based on simplified geometries. The two analytical models only differ by a model specific pre-factor, which is consequently determined by a finite element model. The model was applied to measurements on cones of Ce1-xPrxO2-δ characterized on an YSZ electrolyte. Conclusively, the finite element model was used to obtain a formula for the resistance for different cone angles with a small contact area. This reproduces Newman's formula for a cone angle equal to 90°, i.e. a semi-infinite body.

中文翻译：

---

锥形固体电极电阻的测定

(06/12/2018) 锥形固体电极电阻的测定 压入电解质中的锥形电极可有利地用于表征电极的电催化性能，因为它对电极的依赖性较小微结构比例如薄多孔复合电极，并且可以避免在加工过程中发生的与电解质的反应。然后使用纽曼的电解液电流收缩公式根据电池的欧姆电阻推导出活性接触面积，并由此推导出表面比电催化活性。然而，对于低电导率的电极材料（如 Ce1-xPrxO2-δ），电池的电阻受锥形电极的欧姆电阻影响很大，因此必须包括在内。在这项工作中，锥体的欧姆电阻基于简化的几何形状进行分析建模。这两个分析模型的区别仅在于模型特定的前因数，因此该前因数由有限元模型确定。该模型应用于对 YSZ 电解质表征的 Ce1-xPrxO2-δ 锥体的测量。最后，有限元模型用于获得不同锥角接触面积的电阻公式。这再现了锥角等于 90° 的纽曼公式，即半无限体。该模型应用于对 YSZ 电解质表征的 Ce1-xPrxO2-δ 锥体的测量。最后，有限元模型用于获得不同锥角接触面积的电阻公式。这再现了锥角等于 90° 的纽曼公式，即半无限体。该模型应用于对 YSZ 电解质表征的 Ce1-xPrxO2-δ 锥体的测量。最后，有限元模型用于获得不同锥角接触面积的电阻公式。这再现了锥角等于 90° 的纽曼公式，即半无限体。