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Materials based on Cu2O are potential p-type transparent semiconducting oxides. Developing an understanding of the mechanism leading to p-type behaviour is important. An accepted origin is the formation of Cu vacancies. However, the way in which this mechanism leads to p-type properties needs to be investigated. This paper presents a first principles analysis of the origin of p-type semiconducting behaviour in Cu2O with 1.5 and 3% Cu vacancy concentrations. Plane wave density functional theory (DFT) with the Perdew-Burke Ernzerhof (PBE) exchange-correlation functional is applied. In order to investigate the applicability of DFT, we firstly show that CuO, with 50% Cu vacancies cannot be described with DFT and in order to obtain a consistent description of CuO, the DFT + U approach is applied. The resulting electronic structure is consistent with experiment, with a spin moment of 0.64 mu(B) and an indirect band gap of 1.48 eV for U = 7 eV. However, for a 3% Cu vacancy concentration in Cu2O, the DFT and DFT + U descriptions of Cu vacancies are similar, indicating that DFT is suitable for a small concentration of Cu vacancies; the formation energy of a Cu vacancy is no larger than 1.7 eV. Formation of Cu vacancies produces delocalised hole states with hole effective masses consistent with the semiconducting nature of Cu2O. These results demonstrate that the p-type semiconducting properties observed for Cu2O are explained by a small concentration of Cu vacancies.

An understanding of the interaction between ceria and environmentally sensitive molecules is vital for developing its role in catalysis. We present the structure and energetics of CO adsorbed onto stoichiometric (111), (110), and (100) surfaces of ceria from first principles density functional theory corrected for on-site Coulomb interactions, DFT+U. DFT+U is applied because it can describe consistently the properties of both the stoichiometric and reduced surfaces. Our major finding is that the interaction is strongly surface dependent, consistent with experiment. Upon interaction of CO with the (111) surface, weak binding is found, with little perturbation to the surface or the molecule. For the (110) and (100) surfaces, the most stable adsorbate is that in which the CO molecule bridges two oxygen atoms and pulls these atoms out of their lattice sites, with formation of a (CO(3)) species. This results in a strong modification to the surface structure, consistent with that resulting from mild reduction. The electronic structure also demonstrates reduction of the ceria surface and consequent localization of charge on cerium atoms neighboring the vacancy sites. The surface-bound (CO(3)) species is identified as a carbonate, (CO(3))(2-) group, which is formed along with two reduced surface Ce(III) ions, in good agreement with experimental infrared data. These results provide a detailed investigation of the interactions involved in the adsorption of CO on ceria surfaces, allowing a rationalization of experimental findings and demonstrate further the applicability of the DFT+U approach to the study of systems in which reduced ceria surfaces play a role.