A large-scale relativistic configuration-interaction calculation of the n = 3-3 transition energies for Ne-to Ar-like tungsten is carried out. The calculation is based on the relativistic no-pair Hamiltonian and uses finite B-spline orbitals in a cavity as basis functions. Quantum electrodynamic and mass polarization corrections are also included. Results are compared with other theories and with experiment, and are generally found to be more reliable than previous theoretical predictions. PACS number(s): 31.15.am, 31.15.ac, 32.30.Rj
I. INTRODUCTIONTungsten is of interest in fusion research as it is a promising material in future magnetic confinement fusion reactors such as the ITER due to its desirable properties with low hydrogen retention, high melting point, and high thermal conductivity. However, since tungsten is a high-Z element, even with 10-20-keV reactor temperature, line emission in the x-ray and vacuum ultraviolet (VUV) regions is a major concern in realizing the magnetically confined fusion reactors. To understand its influence as a plasma impurity, reliable transition energy data are needed for many ionic stages of tungsten which show up in relevant emission spectra.There are not many experimental and theoretical studies in the literature for the n = 3-3 transition energies of highlycharged tungsten ions. Early calculations of the sodium isoelectronic sequence are mostly based on the Dirac-Fock (DF) [1-3] or model potential [4] methods with a relatively crude accuracy of a few electron volts. High-precision relativistic many-body perturbation theory (RMBPT) calculations of the correlation energies for selected Na-like ions were carried out by Johnson et al. [5], but quantum electrodynamic (QED) corrections, which are important for high-Z ions, were not included. Kim et al. [6] later used these RMBPT results to provide accurate relativistic correlation corrections to their DF energies for Na-like ions with 14 Z 92, and calculated the QED corrections with the ad hoc Welton method [7]. Reliable QED corrections from ab initio calculations were first given by Blundell [8], who added them to the RMBPT energies [5] to give accurate transition energies for a few Na-like ions, though tungsten was not included. Theoretical n = 3-3 resonance line energies for Mg-like ions include results from the multiconfiguration Dirac-Fock (MCDF) calculations by Cheng and Johnson [9] and Zou and Froese-Fischer [10], the relativistic random-phase approximation calculations by Shorer et al. [11], the relativistic perturbation calculations with model potentials by Ivanova et al. [12], and the relativistic configuration-interaction (RCI) calculations for low-to mid-Z ions by Chen and Cheng [13]. For the aluminum isoelectronic sequence, transition energies and radiative rates have been * chen7@llnl.gov † ktcheng@llnl.gov