The three new sets of obtained transition probabilities and oscillator strengths fall in the spectral domain from ultraviolet to infrared. extensive calculations of transition probabilities and oscillator strengths in Lu 3+, Hf 4+ and Ta 5+ using the same methods as in the case of Xe 9+ and Xe 10+ that consider both the electron correlations and configuration interaction. In the two first Refs, the authors utilized the Newton and least-squares monoconfigurational methods without taking into account that an appropriate treatment of these ions must be done in the framework of the configuration interaction. (Yb III, Lu IV, and Hf V), Loginov and Tuchkin (Yb III, Lu IV, Hf V, and Ta VI) and Bokamba et al. The only data available have been computed in the Er I isoelectronic sequence by Anisimova et al. Unfortunately, there are very few studies devoted to the transition rates of these ions. Therefore, the radiative properties of these ions have potentially important applications in this field. As a result, their sputtering may generate ionic impurities of all possible charge states, including the members of Er I isoelectronic sequence (Lu IV, Hf V, Ta VI), in the deuterium-tritium plasma that could contribute to radiation losses in fusion reactors. In addition, the last two of them are also produced in neutron-induced transmutation of tungsten ( Z = 74) and tungsten-alloys that will compose the divertors in future tokamaks. Lutetium ( Z = 71), hafnium ( Z = 72) and tantalum ( Z = 73) would be candidates as plasma-facing materials in controlled nuclear fusion devices. the semi-empirical Hartree-Fock with relativistic corrections (HFR) and the fully relativistic multiconfiguration Dirac-Hartree-Fock (MCDHF) methods, to obtain two new sets of oscillator strengths and transition probabilities of radiative transitions in Xe 9+ and Xe 10+, in the extreme ultraviolet region. , we used two different theoretical approaches, i.e. , as an extension of works by Biemont et al. From 2004, the main works on Xe 9+ and Xe 10+ are those of and, respectively. the authors reported some radiative parameters, including transition probabilities. In that compilation, data on Xe 9+ and Xe 10+ were respectively based on Refs. Xe I-Xe XI, Xe XIX, Xe XXV-Xe XXIX, Xe XLIII-Xe XLV, and Xe LI-Xe LIV. Saloman compiled the energy levels and observed spectral lines of the xenon atom in all stages of ionization for which experimental data are available before 2004, i.e. Biémont’s team realized large-scale calculations of lifetimes, oscillator strengths and transition probabilities in moderately charged xenon ions (Xe V-Xe IX) by combining often theory (HFR/HFR+CPOL, MCDF ) and experiment (Beam Foil Spectroscopy ). In those studies, time-resolved experiments and relativistic Hartree-Fock calculations were also carried out to obtain radiative lifetimes and transition probabilities. Recently, a review by Almandos and Raineri reported the extensive use of Pulsed discharges in La Plata (Argentina) to produce spectra of Xe III-IX falling in ultraviolet (UV), visible and infrared regions -, so as to identify the corresponding lines. Up to now, experimental and theoretical investigations on spectroscopic properties of xenon ions have been performed. Consequently, the identification of emission lines and the knowledge of spectroscopic parameters from all ionization stages of xenon, including Xe 9+ and Xe 10+, would be of key importance in order to model the plasma and facilitate the analysis of the spectra used for the estimation of physical conditions inside the fusion reactors such as densities and temperatures. Moreover, the xenon atoms would strip to helium-like ions in the hottest part of the confined plasma. In particular, if xenon ( Z = 54) was inserted into the international thermonuclear experimental reactor (ITER) which will be the next step towards the realization of fusion, it could be pumped out without leaving residuals on plasma facing material and would therefore be recycled in subsequent discharges. Noble gases can be injected into nuclear fusion reactors, conditioned in solid pellets, for both plasma diagnostics and fuel introduction. There is a growing need in atomic data for elements which could be used in thermonuclear fusion installations for the fuel introduction or as plasma facing materials.
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