Sternheimer antishielding factors for core electrons in metals: Comparison with free-ion results

The Sternheimer antishielding factor ${\gamma }_{\infty }$ has been calculated using nonrelativistic Hartree-Fock-Slater core-electron wave functions for several metallic elements in the third, fourth, and fifth rows of the Periodic Table assuming the ground-state electronic configuration for the transition-metal atoms to be $3d^{n}4s^1$, $4d^{n}5s^1$, and $5d^{n}6s^2$, respectively. These values have been compared with the available ${\gamma }_{\infty }$ values based on the free-ionic-core-electron wave functions. For the elements in the intermediate region of each row, the presently calculated ${\gamma }_{\infty }$ values are found to be significantly different from the frequently used free-ion values corresponding to the core-electron configuration.