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This research plan proposes to measure for the first time the absolute charge radius of radium and additionally also rhenium, curium and polonium. Next to its mass the charge radius of a nucleus is one of its main defining parameters. So far no absolute charge radius measurements exist for the nuclei mentioned above thus providing ample motivation for this proposal. In the case of radium the motivation goes even beyond. An experiment measuring parity violating transitions in a single, trapped radium ion is currently underway. The extraction of the underlying physics in the form of the weak mixing angle relies on the precise calculation of all necessary corrections and needs a measurement of the charge radius with an accuracy of 0.2%.In order to measure absolute charge radii muonic atom spectroscopy offers an excellent method that has been widely employed over a wide range of isotopes. In this method the characteristic X-rays emitted during the cascade of the muon into the ground state are analyzed by means of germanium detectors. From the measured transition energies the charge radii can be extracted with high accuracy. In the case of 208-Pb an impressive relative accuracy of 0.02% in the measurement of its charge radius was achieved showing the potential of this method.As we cannot use a large mass of the radioactive isotopes mentioned above we will use a special slow negative muon beam developed for the Lamb shift experiment to stop in about 1 µg/cm^2 of target mass. A high-purity germanium detector located close to the target will record the muonic X-rays and allow us to extract the relevant charge radii.