Energy levels for valence and Rydberg states are calculated for H2, N2, and O2. An independent particle model (IPM) with an effective onehyphen;electron potential whose nuclear charge depends on the electron position is utilized to approximate the Coulomb and exchange interactions. An analytical generalization of the potential parameters to reflect a change in internuclear separation yields accurate average molecular potential energy curvesE(R) when experimental ion energiesEplus;(R) are added to IPM molecular orbital energies egr;(R), viz.,E(R)equals;Eplus;(R)plus;egr;(R). A convergence formula for incrementing the energy in the numerical integration procedure is presented.
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