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.