Determination of deformation-potential constants by Brillouin scattering of light

The theory of resonance Brillouin scattering has been developed for diamond and zinc-blende-type crystals by the consideration of the intermediate electronic states involved in the scattering process as discrete exciton and electron-hole continuum states. The intraband and interband transitions involving the conduction band, the valence band, and the split-off band have been taken into account in the calculation of the resonance Brillouin scattering tensor. From the scattering tensor the expressions of the photoelastic coefficients and those of the deformation-potential constants have been derived. The results are applied to Brillouin scattering data of ZnSe measured at frequencies below the fundamental absorption-band edge. For the deformation-potential constants the values $\tilde{a}=-14.6\mathrm{}$ eV, $b=-0.7\mathrm{}$ eV, and $d=-4.9\mathrm{}$ eV are obtained.