Investigation of the Ionic Conductivities of Yttria-Doped Ceria and Yttria-Stabilized Zirconia by Using the Statistical Moment Method

Structural and Electrical Properties of Samarium-doped Ceria Electrolyte

“…O U are the total interaction potentials of Ce 4+ , Sm 3+ , and O 2ions at the equilibrium position, respectively. The total interaction potentials of Ce 4+ and O 2ions in CeO2-x/2 crystal including the presence of oxygen vacancies can be determined as [18] ** 0 0 0 , 24…”

“…The ionic conduction of Ce1-xSmxO2-x/2 crystal with fluorite structure is explained due to the oxygen vacancy-oxygen ion exchange occurred at the vacant sites on anion sub-lattice. The ionic conductivity can be straightforwardly computed by [18]:…”

“…The oxygen vacancy-dopant association energy can be considered as the energy change of the crystal containing the oxygen vacancies and Y 3+ ions the associated state and that containing the oxygen vacancies and Y 3+ ions at the isolated state. In the previous studies [17,18], we constructed the structural systems describing the different states of oxygen vacancies and Sm 3+ ions in the crystal layer with the chemical formulas as Ce Sm O…”

“…The vacancy migration corresponds to the movement of an O 2ion in the opposite direction. Then the vacancy migration energy between adjacent oxygen lattice sites is determined as the free energy difference of the crystalline lattice at two states: after the oxygen moving to the saddle point (called saddle point state) and before the oxygen transporting from the lattice site (called as initial state) [17,18]. 0 ,…”

“…Lately, the statistical moment method (SMM) has been developed to gain insight into the diffusion and electrical properties of yttria-doped ceria (YDC) and yttria-stabilized zirconia (YSZ with fluorite structure [17,18]. The explicitly analytic expressions of the vacancy migration and dopant-vacancy association energies were derived from the Helmholtz free energy.…”