A review is given of atomic spectroscopy experiments with radioisotopes and their impact on atomic and nuclear structure studies. These range from dispersive and interference techniques to radiofrequency and laser spectroscopy. An extensive study has been made of spectra of actinides. Availability of beams of isotopes produced at accelerators and used "on line" permit studies of nuclides with sub-second half-lives. The atomic properties of francium could thus be obtained. Systematic measurements by these atomic techniques over a range of isotopes can yield data on nuclear charge and magnetization properties not readily available by nuclear spectroscopic methods.