Band Structure: 3D to OD

This lecture covers the band structure of objects in 3D, 2D, 1D, and OD, explaining the quantum confinement effects on electrons and the density of states in different dimensions. Starting with simple assumptions for electrons confined by potential walls, it progresses to discuss the energy separation between available states in OD objects. The lecture also explores the density of states for electrons in 2D and 1D objects, showing how it varies with energy. Additionally, it delves into Fermi quantities in 3D objects, detailing the Fermi volume, wavevector, and energy, and how electrons occupy states in the k-space. The concepts presented provide insights into nanoscale phenomena and molecular structures.