self-consistent field method

The self-consistent field (SCF) method is a computational approach used in quantum chemistry to determine the lowest-energy arrangement of atoms in a molecule, thus defining its structure. This method is central to solving the Schrödinger equation, which describes the behavior of subatomic particles.13

The core idea of SCF is to achieve "self-consistency" in calculations. It starts with an initial guess of the electron distribution within the molecule. This distribution is then recalculated based on that approximation. The process is repeated iteratively, with each recalculation refining the description of the electron distribution. The procedure continues until the changes between successive calculations become negligible, indicating that a stable, self-consistent electronic state has been reached. This iterative process is essential for accurately modeling complex molecular systems where the interactions between multiple electrons are significant.12