Linear regression analysis of oxygen ionic conductivity in co-doped electrolyte

A mathematical model for the estimation of oxygen-ion conductivity of doped ZrO2 and CeO2 electrolytes was established based on the assumptions that the electronic conduction and defect association can be neglected. A linear regression method was employed to determine the parameters in the model. This model was confirmed by the published conductivity data of the doped ZrO2 and CeO2 electrolytes. In addition, a series of compositions in Ce0.8Gd02-xMxO1.9-δ system (M) is the co-dopant) was prepared, their high temperature conductivity were measured. The model was further validated by the measured conductivity data.