We discuss the Ca+ ion as a ''simple'' atomic system, described as an
electronic three-level system. In a Paul ion trap a small ion cloud ca
n be laser cooled until crystallisation appears which reduces the ion
motion. Lifetime and hyperfine structure measurements in ground and ex
cited electronic states can be performed with high precision. A first
example for the investigation of a ''complex'' ionic system is represe
nted by the Eu+ ion, where hyperfine structure splittings have been ob
tained with uncertainties in the 10(-9) range even on radioactive isot
opes with few available particles. These small uncertainties require e
xtensive and complicated pertubation calculation for a determination o
f coupling constant, but open the way for detailed investigation of nu
clear structure effects.