``Magic-angle'' technique for suppression of inhomogeneous broadening of M\"{o}ssbauer spectra

In this work, we demonstrate ``magic-angle'' technique with respect to Mössbauer spectroscopy. The case of dipole interaction of 57Fe is analyzed. Floquet-state perturbation theory for the RF modulation of the Mössbauer resonance and the concept of effective magnetic field is used to calculate the spectra of the 14.4 keV 57Fe nuclear transition. Our analysis provides physical insight into the technique and defines necessary range of parameters for an experimental realization.