Masses of exotic nuclei play a key role in multiple physics applications ranging from nuclear structure studies and input to astrophysical modeling to tests of the electroweak standard model, quantum electrodynamics, and neutrino physics. The nowadays most prominent mass spectrometry techniques rely on the storage and cooling of charged particles in multi-reflection time-of-flight, Penning-trap, and storage ring devices and the measurement of the revolution frequency of the ion of interest to a reference ion. We provide a comprehensive overview of these measurement techniques as well as the status of the most important K. Blaum ( ) • S.