We first introduce the Planck distribution which describes the population of phonons as a function of temperature. We then applied Einstein's model of isolated oscillators to the heat capacity of phonons.
Welcome to Solid State Physics in a Nutshell. This video series was originally designed to go along with the solid state physics course at the Colorado School of Mines. It follows and references the textbook by Kittel, Introduction to Solid State Physics, 8th edition. As these videos are now being updated to be a worldwide resource, they are also captioned to make viewing possible for everyone, near and far.
It spans 32 video lectures, covering the following topics: 1. Bonding and Crystal Structure 2. Elastic Diffraction 3. Elastic Scattering 4. Phonon Dispersions and Transport & Thermal Properties 5. Inelastic Scattering 6. Free Electron Model: Density of States & Heat Capacity 7. Weak Potential and Band Structures 8. Intrinsic Semiconductors