Elementary steps in the oxidative conversion of methane, ethane, and propane by supported vanadium oxide species are studied by density functional theory, specifically B3LYP. Two models are adopted, namely O = V(OH)(3) and O = VSi7O12H7, which yield similar energy profiles. The initial and rate-determining step is hydrogen abstraction. Within the C1-C3 series, energy barriers and reaction energies follow the same trend as the C-H bond strength in the different alkanes. For methane, only methanol formation is possible whereas for ethane and propane, oxidative dehydrogenation yields the corresponding alkenes. Single point CCSD(T)/TZVP calculations are used to assess the B3LYP error. For the barrier of the initial hydrogen abstraction the B3LYP error is larger than usual, -40 to -60 kJ/mol. With the nonhybrid BP86 and PBE functionals even larger errors occur and the potential energy surface is qualitatively different. (c) 2008 Wiley Periodicals, Inc.