Inhomogeneous electron gas theory of molecular dissociation energies

By separating the total energy of atoms and diatomic molecules into the sum of Thomas–Fermi, density gradient and exchange energies, the dissociation energy D, divided by the square of the total number of electrons in the molecule, is related by a simple analytic formula to the inhomogeneity kinetic energy of electron gas theory, for the equilibrium molecule. The shape of the resulting relation has the features of a semi-empirical correlation previously established.