Abstract
Traps for charged and neutral particles have substantially contributed to the progress in the precise determination of fundamental particle properties. The extended observation time for stable particles under well controlled conditions and the low energy to which the stored particles can be cooled reduces the uncertainties of measurements to the subparts per billion region. Mass comparisons at this level as well as determinations of magnetic moments test fundamental symmetries like CPT and allow comparison to calculations of higher-order terms in QED. Experiments have reached a level of precision where effects depending on the size of the trap limit further progress.

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