The elastic properties of single‐crystal grains in polycrystalline material can be studied through Brillouin scattering using a laser probe beam. The Brillouin spectra of hot‐pressed CaF2(Irtran‐3), having a typical grain size of 150 &mgr;m, is presented. We have observed scattering from both longitudinal and transverse phonons, despite the presence of a large elastically scattered signal, using a stable 3‐pass Fabry‐Perot interferometer having a contrast of 106.