First-principles study of vibrational properties of TiSiO4 clusters

First-principles calculations were performed to investigate the vibrational properties of monomers and dimers of titania, silica, and titania-silica hybrid clusters. Density functional theory-based formulism was employed to optimize the geometry at the B3LYP level and calculate the infrared and Raman spectra of the clusters by using the GGA-PBE exchange-correlation functional. It was found that the vibrational spectra of Ti₂O₄, Si₂O₄, and TiSiO₄ hybrid clusters provide fingerprint information about structures and structural transitions during the formation of cluster structures. In the case of Si₂O₄ the mode at 410 cm⁻¹ exhibited the largest vibration of Si atoms, whereas in the case of Ti₂O₄ the mode at 442 cm⁻¹ exhibited the largest vibration of Ti atoms. The hybrid cluster TiSiO₄ was structured using two different methods to explore the effects of starting geometry on the structures and vibrational modes of the clusters. The structural properties of the clusters remained unchanged but vibrational modes were found to be different. It is found that Si shows notable vibrations, but the metal atom Ti merely shows any vibration in the case of TiSiO₄ hybrid clusters. The low and intermediate frequency modes were stiffened, whereas the three highest frequency modes were softened when the starting geometry of the hybrid clusters was changed from Si₂O₄ to Ti₂O₄.