Describing Ion Exchange at Membrane Electrodes for Ions of Different Charge
Describing Ion Exchange at Membrane Electrodes for Ions of Different Charge
复制标题
描述膜电极上不同电荷离子的离子交换
DOI：
10.1002/elan.201700700
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发表时间：
2018
期刊：
影响因子：
3
通讯作者：
E. Bakker
中科院分区：
文献类型：
--
作者：
E. Zdrachek;E. Bakker
文献充分证明，Nikolsky-Eisenman方程不能准确描述不同电荷离子在膜电极上的离子交换平衡。尽管如此，不幸的是，由于Bakker等人在1994年提出的更严格的形式主义的复杂性，它仍然被广泛使用。本文统一介绍了不同的可行方法，并对其进行了比较。这包括两种不同的近似，它们同样适用于低水平干扰的情况，其中离子交换的程度相对较小，其中一种在这里是首次介绍。比较还考虑了尼古拉-艾森曼方程的置换形式，其中原离子被视为干扰离子，反之亦然。由于排列形式偏离了热力学模型，与常规的尼古拉-艾森曼方程相反，两者可以结合起来得到一个半经验方程，它与热力学模型惊人地接近，并且包含任何电荷组合的单一方程。这里提出的不同选择可能有助于解决更复杂的理论问题，例如通过数值模拟对电极响应的时间依赖性进行建模，其中界面阶跃条件是计算的独特而困难的特征。
It is well-documented in the literature that the Nikolsky-Eisenman equation cannot accurately describe the equilibrium of ion exchange at membrane electrodes for ions of different charge. Despite this, unfortunately, it is still widely used owing to the complexity of the more rigorous formalism developed by Bakker et al. in 1994. Here, different available approaches are presented in a unified manner and compared. This includes two different approximations that are equally appropriate for cases of low level of interference where the extent of ion-exchange is comparatively small, one of which is introduced here for the first time. The comparison also considers the permutated form of the Nikolsky-Eisenman equation, where the primary ion is treated as the interfering ion and vice versa. As the permutated form gives a deviation from the thermodynamic model that is opposite that of the regular Nikolsky-Eisenman equation, the two can be combined to give a semi-empirical equation that is surprisingly close to the thermodynamic model and that comprises a single equation for any charge combination. The different choices presented here may be helpful to solve more complex theoretical problems, as for example in the modeling of the time dependence of the electrode response by numerical simulation where the interfacial step condition is a unique and difficult feature of the calculation.
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基于相界电位模型的聚合物离子选择电极的广义选择性描述。
DOI：
10.1016/j.jelechem.2009.09.031
发表时间：
2010
期刊：
Journal of electroanalytical chemistry (Lausanne, Switzerland)
影响因子：
--
作者：
Bakker,Eric
通讯作者：
Bakker,Eric
影响因子：
7.4
作者：
Hoefler, Lajos;Bedlechowicz, Iwona;Vigassy, Tamas;Gyurcsanyi, Robert E.;Bakker, Eric;Pretsch, Ernoe
通讯作者：
Pretsch, Ernoe
影响因子：
7.4
作者：
Radu, A;Meir, AJ;Bakker, E
通讯作者：
Bakker, E
影响因子：
7.4
作者：
Bakker, E;Pretsch, E;Bühlmann, P
通讯作者：
Bühlmann, P