文摘
The outstanding catalytic properties of cerium oxides and, consequently, the broad use in heterogeneous catalysis rely on the easy Ce3+ 鈫?Ce4+ redox conversion. Within the two-state model of Marcus, the electron transfer associated with the redox process is governed by the electronic coupling matrix element VAB that accounts for the interaction between the diabatic electronic states at the crossing seam. Here we present a computational analysis based on ab initio quantum mechanics theory that allows for a characterization of negative polaron structures and intrinsic polaron hopping in bulk CeO2. The relevant parameters inherent to the model: reorganization energy, activation barrier, and electronic coupling for the 4f鈫?4f electron hopping are estimated for several models. Our analysis predicts an activation barrier of 0.4 eV and a transmission coefficient 魏 = 0.81, confirming the earlier proposed adiabatic theory of small polaron and hopping conductivity in reduced bulk ceria.