Semiempirical Sternheimer shielding factors for the atomic4fand5dshells

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Abstract
Sternheimer shielding factors are often obtained empirically by comparing nuclear electric quadrupole moment values derived from the hyperfine structure (hfs) of many-electron atoms with those determined by Coulomb-excitation or mesic-atom measurements. A large scatter in the resulting shielding factors arises from the lack of consistency in the approaches used in the analyses of the hfs. In the present work the radial hfs integrals are evaluated with a consistent configuration-average Dirac-Fock method. The scatter in the shielding factors obtained is reduced substantially and the results are in reasonable agreement with Sternheimer's original estimates.