International Conference on Science and Technology for FAIR in Europe 2014

The ground-state energies of one-electron homonuclear quasi-molecules for the nuclear charge number in the range $Z=1-100$ at the ``chemical'' distances $R= 2/Z$ (in a.u.) are calculated. The calculations are performed for both point- and extended-charge nucleus cases using the Dirac-Fock-Sturm approach with the basis functions constructed from the one-center Dirac-Sturm orbitals. The critical distances $R_{\rm cr}$, at which the ground-state level reaches the edge of the negative-energy Dirac continuum, are calculated for homonuclear quasi-molecules in the range: $ 85\leq Z\leq 100$.