Quadrupole Antishielding Factors, and the Nuclear Quadrupole Moments of Several Alkali Isotopes
- 1 March 1971
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 3 (3), 837-848
- https://doi.org/10.1103/physreva.3.837
Abstract
The atomic antishielding factor for the quadrupole hyperfine structure has been evaluated for the lowest three excited states for each of the alkali atoms, i.e., for a total of fifteen atomic states. The values of were determined by means of the perturbed wave functions , as obtained by solving the inhomogeneous Schrödinger equation for each type of excitation of the core electrons by the nuclear quadrupole moment . In order to obtain reliable values of , we have obtained accurate valence wave functions for the excited states from the requirement that the calculated energy eigenvalues should reproduce the observed energy levels. The wave function for the lowest valence state (, e.g., for Na) was checked for each alkali atom by calculating the oscillator strength for the lowest transition. The calculated values of were found to be in good agreement with experiment. As an example of the values of obtained, we have found for Rb: ; ; and . The resulting correction factors are , , and . At the end of the paper we give the corrected values of for twelve alkali isotopes, for which experimental data are available, namely, for the following nuclei: , , , , , , , , , , , and . We have also given a brief summary of the present experimental evidence supporting the existence of the quadrupole shielding and antishielding effects for atomic states.
Keywords
This publication has 55 references indexed in Scilit:
- Quadrupole Polarizabilities of Various Ions and the Alkali AtomsPhysical Review A, 1970
- Electronic Polarizabilities of the Alkali Atoms. IIPhysical Review B, 1969
- Quadrupole Shielding and Antishielding Factors for Atomic StatesPhysical Review B, 1967
- Effect of the Atomic Core on the Nuclear Quadrupole CouplingPhysical Review B, 1957
- Electronic Polarizabilities of Ions from the Hartree-Fock Wave FunctionsPhysical Review B, 1954
- Effect of the Atomic Core on the Nuclear Quadrupole CouplingPhysical Review B, 1954
- Effect of the Atomic Core on the Magnetic Hyperfine StructurePhysical Review B, 1952
- On Nuclear Quadrupole MomentsPhysical Review B, 1950
- Self-consistent field, with exchange, for nitrogen and sodiumProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1948
- Self-consistent field with exchange for potassium and argonProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1938