Thermal shifts and broadening of Rydberg levels in Be II ions

Blackbody-radiation-induced shifts and the broadening of Rydberg states in the ions of group IIa elements

“…As seen from the table, the FMP parameters of Be + provide the best agreement with the general sum rule for the oscillator strengths observed in the Be + ions. Therefore, the FMP data for spontaneous lifetimes and BBR-induced shifts and broadening of the Rydberg-state energy levels in Be + [21] is in good agreement with most of the reliable data. For Mg + ions, the data in table 1 is given with (I 0 2 ( ) = ) and without (I 0 1 ( ) = ) the addition of a unit to the radial quantum numbers of S states.…”

“…This data includes the rates of black-body-induced transitions into lower and upper bound states, the rates of ionization and BBR-induced shifts of energy. The BBR-induced shifts and broadening of Rydberg levels in the light-weight Be + and Mg + ions of group IIa elements have already been considered in [21] and [14] on the basis of the FMP approach. Caused by a more complicated internal structure, the approach to calculations in heavier ions should shift to the QDM, as demonstrated in section 3.…”

“…where [ ] n is the integral part of the effective principal quantum number ν. So, the sum only includes terms with k n < , providing the boundary condition W (21), the QDM wave function may only be written for states with l nl n > , in contrast with the FMP wave functions which have no such restrictions. Besides this, the normalization condition only holds approximately, but the deviation from the unit in the right-hand side of equation (14) does not exceed a few percent, and gradually falls as the principal quantum number increases.…”

Radiative Lifetimes for Singly Ionized Beryllium

“…Moreover, our lifetime results have been compared with the semiempirical calculations given by Kurucz [31]. As a result of comparisons, it can be seen from Table I that the average agreements of our lifetime values obtained by using the WBEPM theory and the QDO theory are ±2-3% to other theoretical results [21][22][23][24][25][26][27], are ±9% to the semi-empirical calculations given by Kurucz [31]. Experimental results are scarcely available for comparisons, especially for highly excited states.…”

“…The last lines of each set of states given as M lt in Table I represent the lifetimes of multiplet lines. Our lifetime results have been compared with some theoretical results obtained from the relativistic many-body calculations using a high-precision relativistic all-order method which includes all single, double, and partial triple excitations of the Dirac-Fock wave functions given by Safranova et al [21], the multiconfiguration HartreeFock + Breit-Pauli (MCHF+BP) method results given by Froese Fischer et al [22], the compilation of calculated lifetimes using a numerical Coulomb approximation with a Hartree-Slater core (CAHS) approach given by Theodosiou [23], the Fues model potential (FMP) approach calculations given by Glukhov et al [24,25], the presented values in the Grotrian database [26], the numerical Coulomb approximation results given by Lindgard et al [27], with some experimental measurement values given by Bromander [28], Hontzeas et al [29] and Andersen et al [30]. The experimental results are given together with their uncertainty rating.…”