  We show that the emission of a gamma-ray photon by a nucleus can be
influenced by a microwave magnetic field acting on the atomic electrons. We
study theoretically these electron-nuclear double transitions (ENDTs) for
^{151}Eu nuclei in a CaF_2 lattice at low temperature, in the presence of a
static magnetic field and of a microwave magnetic field. The ENDTs acquire a
significant intensity for certain resonance frequencies. The ENDTs are of
interest for the identification of the position of the lines in complex
M\"{o}ssbauer spectra.
