Modulated perturbation theory for molecular interactions. II. Remarks on nonlinear parameter minimization in STO expansions

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Abstract
In connection with the modulated form of Murrell–Shaw–Musher–Amos (MS–MA) perturbation theory, some properties of nonlinear minimization of first and second‐order energy functionals with respect to STO exponents are examined. A general formulation for the system of equations for the orbital exponents is deduced, which can be conveniently used in application to specific problems.