Calculation of the Rydberg Energy Levels for Francium Atom

Huang Shizhong,Sun Qiufeng

doi:10.1155/2010/203497

Abstract

Based on the weakest bound electron potential model theory, the Rydberg energy levels and quantum defects of nsS21/2(n=8--50), ndD23/2(n=6--50), and ndD25/2(n=6--50) spectrum series for francium atom are calculated. The calculated results are in excellent agreement with the 74 known experimentally measured levels (the absolute difference is less than 0.03 cm-1) and 58 energy levels for highly excited states are predicted.

Highlights

Much work [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19] has been carried out to investigate the energy structure in excited states of francium atom, the heaviest alkali metal atom
In 1999, removal energies of the n = 7–10 states and hyperfine constants of the n = 7 and 8 states in francium were calculated by Safronova et al [11], the calculations were based on the relativistic single-double approximation in which single and double excitations of Dirac-Hartree-Fock wave functions are included to all orders in perturbation theory
In 2007, some E1 transitions in the francium isoelectronic sequence were computed in the “Dirac-Fock + core-polarization” approximation by Migdalek and Glowacz-Proszkiewicz [17], in which the core-valence electron correlation was treated in a semiclassical picture

Summary

Introduction

Much work [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19] has been carried out to investigate the energy structure in excited states of francium atom, the heaviest alkali metal atom. In 1999, removal energies of the n = 7–10 states and hyperfine constants of the n = 7 and 8 states in francium were calculated by Safronova et al [11], the calculations were based on the relativistic single-double approximation in which single and double excitations of Dirac-Hartree-Fock wave functions are included to all orders in perturbation theory.

Results

Conclusion