Density functional theory (DFT) has been used to study the hydrolysis reaction of (MO2) n (M = Zr, Hf, n = 1–4) nanoclusters in the ground singlet and first triplet states. The reactions for singlet n = 1 were benchmarked at the CCSD(T) level of theory. The reactions of H2O with the metal site having an MO bond and/or M–O bonds as well as H transfer to both terminal O atoms and bridge −O atoms have been studied. The partial charge on M increases as the MO bonds are replaced with M–OH bonds. The first H2O adsorption (physisorption) energies for these MO2 nanoclusters are calculated to be −20 to −30 kcal/mol for the singlet state and −15 to −48 kcal/mol for the triplet state. These physisorption energies depend on the cluster size and the adsorption site, consistent with existing experimental and computational studies. The first hydrolysis (dissociative chemisorption) reaction energies of the MO2 nanoclusters are calculated to have a much broader range, −30 to −80 kcal/mol for the singlet states and −30 to −100 kcal/mol for the triplet states. Steric effects play an important role in determining the physisorption and chemisorption energies, especially for the trimers and tetramers. The potential energy surfaces for hydrolysis in both the singlet and triplet states are calculated. The calculated Lewis acidities (fluoride affinities) correlate with the hydrolysis properties of the nanoclusters. Our calculations show that H2O readily reacts with both the singlet and triplet states of the MO2 nanoclusters to form the hydroxides. The reaction barriers are generally less than 10 kcal/mol for the singlet states, and because the H2O physisorption energies are large, the barriers occur below the (MO2) n asymptote.
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