The hyperfine splitting values of the ground state of hydrogenlike ato
ms C-13(5+), N-14(6+), and O-17(7+), the lithiumlike atoms Li-7(0), N-
14(4+), F-19(6+), Na-23(8+), Mg-25(9+), Al-27(10+), Si-29(11+), Cl-35(
14+), and Fe-57(23+) are calculated. The calculations of the lithiumli
ke ions (Z greater than or equal to 7) are based an a combination of t
he 1/z perturbation theory and the configuration interaction Hartree-F
ock method. The relativistic corrections are calculated in the zeroth
and first orders in 1/z. The nuclear charge and magnetization distribu
tion corrections and the radiative corrections are taken into account.
The uncertainty of the calculations is estimated to be similar to 0.0
2% for the hydrogenlike ions and similar to 0.06% for the lithiumlike
ions, except Fe-57(23+), 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 w
ith the theoretical values obtained with other methods and with experi
ment.