We have studied the optical properties of silicon with incorporated nanocrystallites of semiconducting magnesium silicide by optical spectroscopy and Raman spectroscopy. We have calculated the optical functions of samples grown with different numbers of layers of incorporated magnesium silicide nanocrystallites. We have determined the contribution of magnesium silicide to the electronic structure of multilayer samples in the photon energy range 1.5-3.0 eV. We have studied the phonon structure of the grown multilayer samples, based on analysis of two-phonon and three-phonon resonances in silicon and Mg 2 Si.Introduction. Today researchers are paying serious attention to silicon with incorporated nanocrystallites of semiconductor silicides [1-5], since such materials have novel optical and electrical properties that are important for designing new semiconductor devices based on silicon. Magnesium silicide (Mg 2 Si) may be used as a narrow-gap semiconductor (E g = 0.37-0.70 eV [6, 7]) for silicon planar technology. The technology for obtaining thin epitaxial films based on silicon is complicated by the low magnesium/silicon coefficient of adhesion and its revaporization at temperatures above 400 o C [8]. Nevertheless, formation of incorporated nanosized Mg 2 Si crystallites in silicon by the ion incorporation method [9] or by the solid-phase epitaxy method [10,11] is of interest to both basic and applied research for designing silicon-containing materials with new optical properties.We know [12] that Mg 2 Si has an antifluorite structure and belongs to the space group Fm3m, the space group for an octahedron (O h ). From phonon vibration theory (within the harmonic expansion) [13,14] for crystals with a center of symmetry, one-phonon optical transitions (resonances) are forbidden. However, a Mg 2 Si crystal has pronounced ionicity of the Mg-Si bond, leading to an induced static dipole moment, as a result of which a one-phonon reststrahl band is formed in the optical transmission spectra with strong absorption on longitudinal (ν LO ) = 327 cm -1 ) and transverse (ν TO = 267 cm -1 ) optical phonons [15]. In the reflectance spectrum (the reststrahl band) of a Mg 2 Si single crystal [15], an additional peak is also observed which is interpreted for ionic alkali metal fluoride compounds [16] as the contribution of two-phonon resonances [17]. However, its contribution to the phonon structure was not considered in [15]. The appearance of only a one-phonon resonance was used in calculations of the Raman-active (ν TO R =