Learn the fundamental principles of first-principles vibrational spectroscopy methods in this 15-minute lecture by Paolo Umari from Materials Cloud. Explore the theoretical foundations and computational approaches used to calculate vibrational properties of materials from quantum mechanical first principles. Discover how density functional theory and related methods enable the prediction of infrared and Raman spectra without empirical parameters. Understand the mathematical framework underlying phonon calculations and how electronic structure methods connect to observable vibrational frequencies. Gain insights into the advantages and limitations of ab initio approaches for studying molecular vibrations and lattice dynamics in crystalline materials.