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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.

The Fourier transformation is regarded as an operator from L2 (-r, 7r)

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