复合掺杂固体电解质氧离子导电性的回归模型

Linear regression analysis of oxygen ionic conductivity in doped electrolyte

基于导电粒子模型分析,采取数学简化处理手段,建立了关于氧离子导电电解质掺杂体系的数学模型和线性回归方程.测量了采用Y2O3,Sm2O3,Nd2O3,La2O3复合掺杂形成的Ce0.8Gd0.2-xMxO1.9-δ的一系列组分的高温电导率.运用该线性回归数学模型分析某些已有数据和本试验数据,都得到线性相关性较好的结果.分析表明,掺杂离子和所取代离子的半径差越大,离子导电性越高.改进该模型可望使之具有更好的预测性.

A primary mathematical model and linear regression equation of oxygen-ion electrolyte doped series was established based on analyzing conductivity mechanism with some assumptions and simplifications. In addition, a series of compositions in Ce0.8Gd0.2-xMxO1.9-δ system （M is the co-dopant） co-doped by Y2O3, Sm2O3, Nd2O3 and La2O3 were prepared, and their high temperature conductivity were measured. A good correlation result was also obtained by using the established linear regression equation to analyze published data and experimental data. Analysis indicates that the lower the radii difference between dopant atom and matrix atom is, the higher the conductivity is. Good prediction ability can be achieved by an improved model.