Hyperfine structure of hydrogenlike and lithiumlike atoms

The hyperfine splitting values of the ground state of the hydrogenlike atoms 13C5+, 14N6+, 17O7+ and the lithiumlike atoms 7Li0, 14N4+, 19F6+, 23Na8+, 25Mg9+, 27Al10+, 29Si11+, 35Cl14+, 57Fe23+ are calculated. The calculations of the lithiumlike ions (Z≥7) are based on a combination of the 1/Z perturbation theory and the configuration interaction Hartree-Fock method. The relativistic corrections are calculated in the zeroth and first orders in 1/Z. The nuclear charge and magnetization distribution corrections and the radiative corrections are taken into account. The uncertainty of the calculations is estimated to be ∼0.02% for the hydrogenlike ions and ∼0.06% for the lithiumlike ions, except 57Fe23+, for which the uncertainty is about 0.15%. The hyperfine structure constant of the ground state of Li is calculated to be A=401.5(4) MHz. The results of the calculations are compared with the theoretical values obtained with other methods and with experiment