Parameterization of the spectra of configurations 3 p 4 f and 3 p 5 f of a phosphorus ion P II. Gyromagnetic ratios

In the one-configuration approximation, in the formalism of irreducible tensor operators, and in the intermediate (real) coupling scheme, numerical values of the fine-structure parameters are determined for the 3 p 4 f and 3 p 5 f highly excited configurations of the P II phosphorus ion with the energy-operator matrix in the LK -coupling approximation. With these values of the fine-structure parameters, the energy-operator matrix is numerically diagonalized in the LS -coupling approximation. The gyromagnetic ratios calculated in both basis sets in the absence of a field are compared with one another, as well as with their vector counterparts and the experimental g -factors available for the 3 p 4 f configuration. The experimental and theoretical g -factors calculated with the LS basis set are in good agreement with the sole exception of the 3 F 2 level. Note that the calculation of g -factors from the Zeeman splitting in the linear region totally confirmed their agreement with the values calculated in the LS basis set ( g LS ) in the absence of a field. The gyromagnetic ratios are the main objectives of this and previous papers, especially for configurations for which experimental data are absent. Apart from the g -factors, the specific features of Zeeman splitting (the crossings and anticrossings of magnetic components) in the 3 p 5 f configurations were determined. These data are to be compared with results of future experiments. Comparison of gyromagnetic ratios calculated in the intermediate coupling scheme with their vector counterparts showed that most levels of the configurations studied are closer than in the LK -coupling scheme.