
The energy of an electron, often determining its behavior in a material.Electron energy refers to the kinetic and potential energy of an electron within a physical system, such as an atom, molecule, or solid. In quantum mechanics, electrons occupy discrete energy levels, and their distribution determines a material's electronic, optical, and chemical properties. The concept is fundamental to understanding phenomena like electrical conductivity, band gaps in semiconductors, and chemical bonding.
The modern understanding of electron energy levels stems from Niels Bohr's 1913 atomic model and was refined by Erwin Schrödinger's wave mechanics in 1926, which provided a full quantum description.
In a solid, electrons fill energy bands separated by gaps. The highest occupied band (valence band) and the lowest empty band (conduction band) define whether a material is a metal, semiconductor, or insulator. Electron energy is governed by the Schrödinger equation, and in many-body systems, it is approximated using density functional theory, which calculates the energy as a functional of electron density.
Electron energy is central to designing semiconductors for transistors, solar cells, and LEDs, as well as in spectroscopy techniques like X-ray photoelectron spectroscopy (XPS) that probe material surfaces.
In graphene, electrons behave as massless relativistic particles, and their energy is linearly proportional to momentum, unlike in ordinary metals where it is quadratic.





