Abstract
Summary. The theory of hyperfine-structure splitting in highly charged ions is reviewed. The available theoretical results for the ground-state hyperfine splitting in hydrogen-like and lithium-like ions are presented. It is shown that the Bohr Weisskopf effect, which mainly defines the uncertainty of the theoretical values, can be eliminated in a combination of the hyperfine splitting values of hydrogen like and lithium-like ions. It allows one to make high precision predictions for the ground-state hyperfine splitting in lithium-like ions if the ground-state hyperfine splitting of the corresponding hydrogen-like ions is known from experiment. The transition probabilities between the hyperfine components are also presented.
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