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We report the theoretical investigation of the CO adsorption and oxidation at the low and high CO coverage over supported Pt clusters on TiO2 (110) surfaces by density functional theory (DFT)calculations and thermodynamic analysis.Based on phase diagrams, it is seen that clean Pt and Pt with high CO coverage is two dominate phases under different temperature and CO pressure.Furthermore, CO oxidation reaction mechanism on two stable phases was investigated.At low and medium coverage, the dissociated oxygen is active species to form CO2 by reaction with CO.At high coverage, the molecular oxygen can react with CO via the formation of OOCO intermediate.Our proposed reaction mechanism is discussed based on pressure and temperature, which provides useful information for understanding the CO oxidation reaction mechanism under realistic or industrial conditions.