Systematic sequences of even-tempered Gaussian primitives in electron correlation studies using many-body perturbation theory

The use of systematic sequences of even-tempered Gaussian primitive functions in electron correlation studies using diagrammatic many-body perturbation theory is examined. The s limit electronic energy of the Be atom and the sp limit energy of the Ne atom have been computed as examples. The use of the Hartree extrapolation procedure to obtain empirical upper bounds for the basis set limit is investigated. The empirical lower bound for the basis set limit suggested by Schmidt and Ruedenberg is examined for calculations which include electron correlation.