Abstract: Compounds of the general structure (I), which includes: a radioactive entity, which is a beta-energy emitter that produces Cherenkov radiation, a fluorophore that absorbs electromagnetic radiation of a wavelength ? ranging from 300 nm to 500 nm; a fluorophore which emits electromagnetic radiation of a wavelength ? ranging from 650 nm to 950 nm and/or is a photosensitizer which produces reactive oxygen species ROSs; and a vector entity, which may be present or absent. Also, the use of these compounds for an application for near-infrared Cherenkov luminescence imaging and/or for the treatment of deep biological tissues by Cherenkov dynamic phototherapy.