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In the first order of perturbation theory, the total energy of a diatomicmolecule in the ground state is calculated taking into account the Pauliprinciple and plasma oscillations of atomic electrons. The Fourier component ofthe potential energy of interaction of an atom with an atom has the form of apolynomial of the fourth degree of the atomic form factor. Numericalcalculation is performed for the atomic form factor in the approximation ofhydrogen-like wave functions, which approximate the solution of theHartree-Fock equation for an isolated atom. It is shown that taking intoaccount the plasma oscillations of atomic electrons leads to a self-consistentsystem of equations, the numerical solution of which makes it possible todetermine the elastic constant, that is, the value of the second derivative atthe minimum of the potential energy of the molecule. The total energy fornitrogen and fluorine molecules is calculated.

Calculation of the total energy of a diatomic molecule in the first  order of perturbation theory taking into account the Pauli principle and  plasma oscillations of atomic electrons