“…is a spherical harmonic in the center of the c core. Besides, large Gaussian basis sets were used with large Gaussian type-orbitals (7 s, 8p, 7d/7 s, 7p, 7d), (9 s, 7p, 5d/7 s, 7p, 4d), (8 s, 7p, 7d/8 s, 7p, 5d) and (5 s, 5p, 6d/5 s, 5p, 3d) for the considered alkaline-earth atoms from Be to Sr, respectively, were optimized in our team and revealing the good accuracy as cited in our previous works [51][52][53][54][55][56], while we use (8 s, 6p, 5d/8 s, 6p, 5d) Gaussian type-orbitals basis set for Fr atom taken from reference [47]. The cutoff parameters for the first valence s, p and d one-electron states of alkaline earth and Fr atoms, employed here, are: All employed parameters reproduce very well the atomic properties when compared to further experimental and theoretical results [51][52][53][54][55][56].…”