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We start by introducing Bloch's theorem as a way to describe the wave function of a periodic solid with periodic boundary conditions. We then develop the central equation and find a relation between the Fourier coefficients associated with the wave vectors, k minus G, over all space.
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Today, we extend Bloch's theorem into two dimensions and develop some vocabulary for labeling points withing the brillouin zone. We also go through band structure using spaghetti diagrams.
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Video 9.3: Band Structures of Metals and Insulators
In this video we introduce metals, semi metals, semiconductors and insulators. We also go through classifying these materials, especially using experimentally obtained dispersion diagrams.
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