
The interaction between electrons in a molecule, where their motions are correlated to avoid each other.Electron correlation refers to the way electrons in a molecule or solid do not move independently but adjust their motions to avoid each other due to their mutual repulsion. In a simple picture, each electron moves in the average field of all others, but correlation captures the instantaneous, quantum-mechanical interplay where the position of one electron influences the probability of finding another nearby. This effect is fundamental to understanding chemical bonding, magnetism, and superconductivity, and it becomes especially important in systems with many electrons, like transition metals or strongly interacting materials.
The concept of electron correlation emerged in the 1930s with the development of quantum chemistry. Walter Heitler and Fritz London introduced the idea of correlated electron motion in the hydrogen molecule, and later, in the 1950s, the Hartree-Fock method was formalized, making the missing correlation energy explicit. The term 'electron correlation' was popularized by Per-Olov Löwdin in the 1950s.
In quantum mechanics, electrons are described by wavefunctions that spread over space. If electrons were independent, the total wavefunction would be a simple product of single-electron states. But because electrons repel each other, their motions become entangled: the wavefunction must be a superposition of many such products, with amplitudes that suppress configurations where two electrons are close together. This is captured mathematically by methods like configuration interaction or coupled cluster theory, which mix in excited-state configurations. The correlation energy—the difference between the exact energy and the mean-field (Hartree-Fock) energy—is a measure of how much the electrons' motions are coordinated. In time-dependent processes, such as laser-driven electron dynamics, correlation manifests as the simultaneous response of multiple electrons, leading to effects like charge migration or the emission of correlated electron pairs.
Electron correlation is essential for accurate predictions in computational chemistry, such as reaction rates and molecular spectra, and for designing materials with specific electronic properties, like superconductors or quantum dots. It also plays a role in developing quantum computing algorithms that simulate correlated electron systems.
In some strongly correlated materials, electrons can 'freeze' into a regular pattern, turning a metal into an insulator—a phenomenon called a Mott transition—which is purely a result of electron correlation.






