Band structure methods are computational and theoretical techniques used to determine the electronic energy–momentum relationships in crystalline solids by solving the Schrödinger or Kohn–Sham equations under periodic boundary conditions. They include approaches such as tight-binding, nearly free electron, pseudopotential methods, and density functional theory–based band structure calculations, often implemented with plane-wave or localized basis sets. These techniques yield band dispersions, band gaps, effective masses, and Fermi surfaces, providing quantitative input for understanding and predicting electronic, optical, and transport properties in materials science, condensed matter physics, and electronic structure engineering.
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