Electric potential and surface oxygen ion density for planar, spherical and cylindrical metal oxide grains

被引：19

作者：

Salomi, R. Joy ^{[1
]}

Sylvia, S. Vinolyn ^{[1
]}

Rajendran, L. ^{[1
]}

Abukhaled, Marwan ^{[2
]}

机构：

[1] Acad Maritime Educ & Training AMET Deemed Be Univ, Dept Math, Kanathur, India

[2] Amer Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates

来源：

SENSORS AND ACTUATORS B-CHEMICAL | 2020年 / 321卷

关键词：

Poisson-Boltzmann equation; Electric potential; Surface oxygen ion; Metal oxide; Mathematical modelling; POISSON-BOLTZMANN EQUATION; DOUBLE-LAYER; SENSITIVITY;

D O I：

10.1016/j.snb.2020.128576

中图分类号：

O65 [分析化学];

学科分类号：

070302 ; 081704 ;

摘要：

In this article, the mathematical model presented by Barami and Ghafarinia (Sensors and Actuators B: Chemical 293 (2019) 31-40) for metal oxide grains is discussed. The nonlinear governing model, which is a Poisson-Boltzmann-type equation, is solved by a simple and efficient method. Analytical expressions for the electrical potential and oxygen ion density within the planar, cylindrical and spherical metal oxide grains are expressed in terms of the absolute value of the electric potential and grain thickness. In addition, an investigation of the effects of parameters such as grain diameter, grain thickness, and uniform distribution of single donors on the performance. The validity of the derived analytical expression is established by direct comparison with computer-generated numerical simulations in addition to previously available limiting cases' results (low and high oxygen adsorption on the grain).

引用

页数：8

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