Rydberg energy levels and quantum defects of B II, Ge II, Si II of subgroups III and IV

Abstract

Theoretical computations of Rydberg energy levels series and atomic lifetimes for singly ionized boron (B II), silicon (Si II), and germanium (Ge II) have been performed. In the theoretical computation weakest bound electron potential model theory (WBEPMT) is employed. Regularities of changes in quantum defects for the following Rydberg states series: 2sns (1S0), 2snp ([Formula: see text]), 2snf ([Formula: see text], [Formula: see text], [Formula: see text]), 2snf ([Formula: see text]) of B II; 3s2ns (2S1/2), 3s2nd (2D3/2,5/2), 3s2nf ([Formula: see text]), 3s2ng (2G7/2,9/2) of Si II; and 4s2nf ([Formula: see text]), 4s2nf ([Formula: see text]), 4s2ng (2G7/2,9/2) of Ge II, up to n = 50 are presented. The atomic lifetimes of the following series: 1s22sns (1S0), 1s22snp ([Formula: see text]), 1s22snd (1D2) of B II; 3s2ns (2S1/2), 3s2nf ([Formula: see text]) of Si II; and 4s2ns (2S1/2) of Ge II are predicted with good accuracy. Some high-lying Rydberg energy levels and atomic lifetimes have been presented for the first time. The series for which Rydberg energy levels are computed in this work are unperturbed series.

Spectroscopic properties of lithium like ions: Prospective elements for quantum computation

“…These S e and P o utilized to write the Schrodinger equation of one electron system [32]. The results obtained within the frame work of WBEPM theory are essentially good and they have deviations of less than 1cm -1 for the allowed transitions discussed in previous literature published [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31].…”

“…In weakest bound electron potential model (WBEPM) theory the ideas of quantum defects, foreign level configuration mixing, spectral Rydberg energy series and dependency of Rydberg states series on azimuthal quantum number was also presented. Based on the hypothetical ideas present in WBEPM theory various analytical investigations were performed for different elements neutral and ionic states successfully [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31].…”

“…This method permits one to succeed in obtaining simple expressions of the Rydberg energies and Radial expected values in connection with an understanding of the importance of WBE-NWBE's correlation effects in atoms. The advantages of the WBEPM theory have been demonstrated previously [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. In this paper, this method is applied to the computation of the radial expectation values of Lithiumlike ions (Be II, B III and C IV) with their quantum defects and low-lying and high-lying spectral Rydberg energy sequence in 1s 2 ns 2 S e 1/2 and 1s 2 np 2 P o 1/2 up to n=50 electron's state.…”