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Band structure of energy levels in solids

Improving on the free electron gas treatment of electrons in solids by including a periodic array of atoms leads to a Schrodinger equation that can be solved with Bloch's theorem and boundary condition matching to give band structure in the energy levels. These bands provide a good explanation of the difference between insulators, conductors, and semiconductors, and can help explain how the electrical conductivity of a material changes with temperature. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics. The Full playlist is at http://www.youtube.com/playlist?list=...)