Bounds to electron-pair relative and center-of-mass radii in many-electron atoms

摘要

When the electron-electron interaction is explicitly considered in many-electron atoms,the average electron radius splits into the inner and outer = <|r_1-r_2|> An analogous result is also derived for the electron-pair center-of-mass radius = <|r_1+r_2|/2>.For the 102 atoms He through Lr in their ground states,the tightness of these bounds is numerically examined at the Hartree-Fock limit level.Good linear correlations are observed between and and