Origin of electronic bands in materials. Explain how electronic energy bands arise in materials. The periodic potential

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Origin of electronic bands in materials. Explain how electronic energy bands arise in materials. The periodic potential in a one-dimensional lattice of spacing a can be approximated by a square wave which has the value U0 =-2 eV at each atom and which changes to zero at a distance of 0.1a on either side of each atom. Describe how you would estimate the width of the first energy gap in the electron energy spectrum.

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