Comprehensive investigation of structural, magnetic, electronic, optical, mechanical, and piezoelectric properties of ATiO3 (A= Mn, Fe, Ni) compounds for sustainable energy materials.

This work employs Density Functional Theory (DFT) to investigate the characteristics of ATiO3 (A= Mn, Fe, Ni) by utilizing GGA and DFT+U formalisms. Our results reveal that the investigated compounds exhibit a ground-state magnetic arrangement in the G-type antiferromagnetic configuration. Substitution of the A-site atoms along the row leads to a decrease in volume due to poor electronic shielding effects with transition metals. All systems investigated are stable under dynamical conditions, with no imaginary phonon. From the formation energy calculations, NiTiO3 was identified as the most formable and stable compound. DFT+U was most effective for FeTiO3, resulting in significantly wider bandgaps compared to the GGA-level bandgaps. Optical properties such as static dielectric constants, refractive index, and reflectivity were overestimated by the GGA when compared to DFT+U results. The absorption edges of FeTiO3, MnTiO3, and NiTiO3 were analyzed, with DFT+U showing delayed onset compared to GGA. FeTiO3 was found to be the most effective absorber within the visible spectrum according to DFT+U, while NiTiO3 was predicted to be the best absorber by GGA. Each compound's mechanical stability was tested and verified based on the Born criteria, with FeTiO3 exhibiting the highest elastic moduli under DFT+U, while NiTiO3 had the highest shear and Young's modulus according to GGA. Among the studied compounds, FeTiO3 is the best-performing and most efficient piezoelectric compound with e_16 = 5.418 C m^(-2) under DFT+U. Overall, the studied compounds demonstrate promising capabilities for a wide range of applications in the field of photovoltaic devices, and piezoelectric materials, due to their remarkable optical, and piezoelectric properties.