Phonons

Lattice vibrations: the phonon dispersion of 1D chains and a 2D square lattice with its acoustic sound speeds, and the heat capacity of the phonon gas, from Debye’s \(T^3\) law to the Dulong-Petit limit.

Born and von Karman: phonon dispersion of crystal lattices

Born and von Karman: phonon dispersion of crystal lattices

Debye’s heat capacity and the T³ law

Debye's heat capacity and the T³ law