Abstract We report an analysis of the applicability of the Nernst-Einstein (N-E) description relating ion conductivity to diffusivity to phase-separated single-ion conductors. We find that two different bases for this description are needed to capture regimes in which the membrane contains high or low amounts of water uptake. The N-E equation requires an ion concentration term. For high water contents, good agreement with the N-E equation is obtained if the concentration is calculated based on the amount of water present. For lower water contents, the concentration must be based on the total membrane volume for the diffusivity/conductivity behavior to comply. The division between these two regimes is roughly water content corresponding to the hydration number of the ion. This has implications for the study of hydrated polymer electrolytes as well as other ‘channel’ containing ion conductors.

中文翻译：

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相分离单离子导体中的离子传输

摘要 我们报告了能斯特-爱因斯坦 (NE) 描述的适用性分析，该描述将离子电导率与扩散率相关联到相分离的单离子导体。我们发现这种描述需要两种不同的基础来捕获膜含有大量或少量吸水量的制度。NE 方程需要离子浓度项。对于高水含量，如果根据存在的水量计算浓度，则可以获得与 NE 方程的良好一致性。对于较低的水含量，浓度必须基于总膜体积，以符合扩散性/导电性行为。这两种状态之间的划分大致是对应于离子水合数的水含量。