Systematic construction of basis subsets of higher angular momentum functions in electron correlation energy calculations

High-precision many-body perturbation theory calculations are reported for the ground state of the neon atom within the algebraic approximation, i.e. by using a finite basis set expansion. The second-order many-body perturbation theory correlation energy component is calculated using an even-tempered universal basis set sequence of Gaussian-type functions of increasing angular quantum number. The basis subsets for each symmetry are systematically truncated so as to attempt to maintain an accuracy of ~1 µHartree. The resulting energy components are compared with other recent results, including those obtained by employing correlation-consistent basis sets and the recent finite-element study by Flores and Kolb. A sub-µHartree level of accuracy was achieved for the E2( = 1) energy component.