IntroductionIn a previous paper [l] we have developed a general theory of Raman scattering of y-quanta by a crystal, under forced vibrations. The Raman scattering amplitude of y-quanta by nuclei and atomic electrons in such a crystal and the corresponding crosssections were calculated3). These questions were partially discussed also in [ 2 , 31. Here we study the multiple scattering of y-quanta by a crystal, performing forced vibrations. The algebraic equations for multiple scattering of X-rays by such a crystal I n Section 2 of the paper we get the system of algebraic equations for multiple scattering of y-quanta by a vibrating crystal. In Section 3 the two-wave solution of these equations is analysed. In Section 4 the effect of suppression of inelastic scattering and reactions is considered for the case of two-wave inelastic diffraction. In Section 5 l) Prospekt Nauki 119, 252028 Kiev, USSR.