Abstract
We present periodic density-functional calculations within the generalized gradient approximation (Perdew-Wang 91) on structures and vibrational properties of different vanadium oxide aggregates, namely, bulk ${\mathrm{V}}_{2}{\mathrm{O}}_{5}$ and its (001) surface, as well as thin vanadium oxide films supported by $\ensuremath{\alpha}$-alumina. Vanadium is differently coordinated by oxygen in the different systems. The calculated vibrational frequencies of bulk ${\mathrm{V}}_{2}{\mathrm{O}}_{5}$ are in good agreement with observed IR and Raman frequencies, for stretching modes the rms deviation is $40{\mathrm{cm}}^{\ensuremath{-}1}.$ The calculations for the ${\mathrm{V}}_{2}{\mathrm{O}}_{5}$(001) surface suggest modifications of previous assignments of high-resolution electron-energy-loss spectroscopy (HREELS) data. In agreement with HREELS, vanadyl frequencies shift to higher wave numbers on surface formation. The calculated frequencies for bulk ${\mathrm{Al}}_{2}{\mathrm{O}}_{3}$ are systematically lower than the observed IR data (by about $30{\mathrm{cm}}^{\ensuremath{-}1}).$ Models for ${\mathrm{V}}_{2}{\mathrm{O}}_{3}$ supported on ${\mathrm{Al}}_{2}{\mathrm{O}}_{3}$ are obtained when in the outermost layers of ${\mathrm{Al}}_{2}{\mathrm{O}}_{3}$(0001) slabs Al is replaced by V. These films do not show vibrations above $930{\mathrm{cm}}^{\ensuremath{-}1}.$ Oxygen adsorption on top of the vanadium sites on these supported films creates very stable vanadyl groups with binding energies of about 450 kJ/mol $(\frac{1}{2}{\mathrm{O}}_{2}).$ Bond distances, vibrational frequencies, and oxygen binding energies are compared with those of vanadyl groups at the ${\mathrm{V}}_{2}{\mathrm{O}}_{5}$(001) surface and in $({\mathrm{V}}_{2}{\mathrm{O}}_{5}{)}_{n}$ clusters $(n=2,$4). The relevance of the findings for experiments on vanadia particles supported on alumina is discussed.
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