Abstract
The Shannon, R\’enyi, and Tsallis entropies of normalized
electron density in position and momentum spaces are studied for the
1s${}^{2}$ state of Helium-isoelectronic series. Within
single-zeta $\beta$-type orbitals
($\beta$TOs), the Hartree-Fock-Roothaan (HFR)
calculations are considered and condensed on the most features of the
physical results. The information quantities with atomic number deal
with the interactions between the core and valence regions of the atom
and thus enhance a geometrical understanding for the difference. It is
assumed that the presented result might be a significant reference for
further research topic on theoretical information quantities of atomic
and molecular. Indeed, Our results have a good agreement in comparison
with the previous published results.