A one-dimensional chain has an atomic level at and a nearest-neighbour hopping integral

PHYSICS · Subjective · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Free electrons, energy bands and electronic structure · Free electrons, energy bands and electronic structure

Condensed Matter Physics, Ch Tight binding, band filling and the three kinds of solid

Problem

A one-dimensional chain has an atomic level at εat=−4.20 eV\varepsilon_{\rm at} = -4.20\ \mathrm{eV} and a nearest-neighbour hopping integral t=0.65 eVt = 0.65\ \mathrm{eV}. Find the energy at the bottom of the band, the energy at the top, and the bandwidth.

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