Compact wave functions for the beryllium isoelectronic series, Li - to Ne6: A standard Hylleraas approach

摘要

Variational calculations have been carried out for the ground states of several members of the beryllium isoelectronic series using a standard Hylleraas approach involving Slater-type basis functions. The species examined are Li-, Be, B, C~2, N~3, O~4, F ~5, and Ne~6. For each species, the nonrelativistic energy, the electronic density at the nucleus, the expectation value ?_i?_j, the moments rin for n -1, 1, 2, and 3, and ri_(jn) for n -1, 1, and 2, are reported. With relatively compact basis sets, the ground state energies are obtained with uncertainties ranging from 50 parts per million to just under 4 parts per million.