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Learn the fundamentals of Density Functional Perturbation Theory (DFPT) in this comprehensive lecture covering forces, response functions, and phonons. Explore the theoretical foundations of DFPT as a powerful computational method for calculating vibrational properties of materials, understanding how forces arise in density functional theory calculations, and examining the mathematical framework of response functions. Discover how DFPT enables efficient computation of phonon spectra without requiring large supercells, making it an essential tool for materials science research. Gain insights into the practical applications of these concepts in studying lattice dynamics, thermal properties, and vibrational spectroscopy of crystalline materials through detailed explanations and theoretical derivations presented over nearly an hour of in-depth instruction.
