Abstract
A large number of bound singlet and triplet states in the four-electron Be-atom and Be-like ions B, C, F and Mg are determined to milli-Hartree numerical accuracy ( a.u.). These states include the bound singlet and triplet -, -, -, -, -, -, - and -states. Based on computational results we analyze the singlet and triplet series of the Be atom bound state spectrum and some four-electron ions: B, C, F and Mg (Be-like ions). The analogous study of the Be atom triplet states was the topic of our earlier study (A.M. Frolov and M.B. Ruiz, CPL 595-596, 197 (2014)). The computational data allowed us to draw the spectral diagram of the bound state spectrum of the Be-atom and other four-electron ions mentioned above. The Be-atom spectrum contains the two optical series of bound states: singlets and triplets.
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