A theoretical survey of atomic structure and forbidden transitions in the 4p^kand 4d^kground configurations of tungsten ions W^{29 +}through W^{43 +}

Abstract

Energy levels, wavelengths and radiative decay rates have been calculated for states within the 4p k (k = 1-5) and 4d k (k = 1-9) ground configurations in highly charged tungsten ions. Magnetic dipole (M1) and electric quadrupole (E2) transition probabilities have been obtained using the fully relativistic multiconfiguration Dirac-Fock (MCDF) approach including the correlations within the n = 4 complex, some n = 4 → n = 5 single excitations and quantum electrodynamics effects. The validity of the method is assessed through limited comparison with experimental and theoretical data previously published as well as with new relativistic Hartree-Fock calculations. The excellent agreement observed between our new MCDF A-values and those obtained using different theoretical approaches together with a detailed analysis of configuration interaction effects does not confirm the very recent GRASP2K calculations of Jonauskas et al (2012 At. Data Nucl. Data Tables 98 19) for M1 lines within the 4d k configurations, the latter results remaining in large disagreement with all other methods in many cases.

Radiative transitions for three lowest configurations of tungsten ions W38+–W43+

“…In general, the QR results are in a good agreement with the experimental wavelengths from [10]. Table 3 contains the calculated data for transitions among the levels of the ground configuration determined in the QR approach and those calculated in the multiconfigurational Dirac-Fock approximation (MCDF) [15]. As the total transition probabilities arising both from the M1 and E2 radiative transitions are presented in [15], we also tabulate the QR data in this way.…”

“…Table 3 contains the calculated data for transitions among the levels of the ground configuration determined in the QR approach and those calculated in the multiconfigurational Dirac-Fock approximation (MCDF) [15]. As the total transition probabilities arising both from the M1 and E2 radiative transitions are presented in [15], we also tabulate the QR data in this way. Meanwhile, separate QR transition probabilities for each type of transition are listed in Tables 4-9.…”

“…The level energies for such ions determined in the QR approach are presented in [13]. That work contains the overview of various studies of the tungsten ions and the comparison of our QR results with available data [8,11,12,[14][15][16][17][18][19]. In the very recent work [20] the multiconfiguration Dirac-Hartree-Fock method (MCDHF) is applied to determine level energies and radiative lifetimes for eight Kr-like ions, including the W 38+ ion.…”

Energy spectra of the tungsten ion 4s24pN, 4s24N–14d and 4s4pN+1 configurations

“…In all level energy data tables for the W 43+ -W 38+ ions, we present the comparison of our QR results with the NIST data [28]. Furthermore, the relativistic calculation results from [6], marked as "RELAC" [6], and the theoretical data from the MCDF calculation [8] are given in Tables 2-7. These tables also contain the results of other authors if such data are available.…”

“…The fully relativistic multiconfiguration Dirac-Fock (MCDF) approach is applied to determine the energy levels of the ground configurations for the ions from W 29+ to W 42+ in [8]. The magnetic dipole (M1) and electric quadrupole (E2) transition probabilities among the levels of the ground configurations are also calculated.…”