Electrons in Periodic Potential: Band Structure

This lecture introduces the concept of electrons in a periodic potential, showing how the Schrödinger equation solutions can be represented in the form Vnk(r) = ekTuk(r). It explains the deformation of wavefunctions due to periodic potentials and the importance of solving the eigenvalue problem for each vector k in the Brillouin zone to understand the band structure. The lecture also covers the representation of energy vs. k in materials like GaAs and Si, as well as intermolecular forces such as covalent, ionic, metallic, and hydrogen bonding. It delves into Van der Waals forces, including Keesom, Debye, and London dispersion forces, and their significance in various applications like nanotechnology and surface science.