A combined PET/MRI device is disclosed. In at least one embodiment, the PET/MRI device includes an MRI unit for exciting nuclear spins in an examination volume and for receiving signals generated by the excitation in the examination volume, and a PET unit with a detector which surrounds the examination volume at least in part and is used for detecting radiation emanating from the examination volume, with, firstly, damping of the radiation emitted by the examination volume and, secondly, undesired interactions with electromagnetic fields of the MRI unit on the components of the PET/MRI device arranged between the examination volume and the detector being avoided due to the material properties and/or structural design of the components. Corresponding components such as, for example, patient couches, bearing or support apparatuses and local coils, are both MRI and PET compatible.