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Effects of the ionic association-dissociation and adsorption-desorption on the space charge polarization: A new theoretical approach

机译:离子缔合解离与吸附解吸对空间电荷极化的影响:一种新的理论方法

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摘要

A case where the electrode polarization occurs in dielectric spectroscopy measurements carried out on a liquid crystal cell in which there are paired ions with different transport properties in the presence of generation-recombination processes is discussed. The processes of adsorption/desorption take place at blocking electrode surfaces with different features. The theoretical approach consists in introducing new independent variables with simple significance and in reformulating the fundamental equation for the concentrations of charge carriers and Poisson equation for the electric field. The main purpose of the present mathematical method is to obtain a more convenient analytical expression of admittance and complex permittivity in a form that is easy to use for the interpretation of the experimental data. The expression of the admittance allows suggesting an equivalent electrical circuit according to the processes occurring in the sample volume and at the surface electrodes. The analytical form of the admittance highlights a distinctive term that is proportional to one adimensional parameter which estimates the relative effects of the bulk process in comparison with the interfaces process. Several cases are analyzed and for each an analytical expression is found. In some cases the formulas are available in a simple form.
机译:讨论了在存在生成复合过程的情况下在其中存在具有不同传输特性的成对离子的液晶单元的液晶单元上进行的介电谱测量中发生电极极化的情况。吸附/解吸过程发生在具有不同特征的阻塞电极表面。理论方法包括引入具有简单意义的新自变量,以及重新构造电荷载流子浓度的基本方程式和电场的泊松方程式。本数学方法的主要目的是以易于用于解释实验数据的形式获得更方便的导纳和复介电常数的分析表达式。导纳的表达允许根据在样品体积和表面电极处发生的过程建议等效电路。导纳的分析形式突出了一个独特的术语,该术语与一个无量纲参数成比例,该无量纲参数与界面过程相比估计了本体过程的相对影响。分析了几种情况,并为每种情况找到了一个分析表达式。在某些情况下,可以以简单形式获得公式。

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