Аннотация:An algorithm for mathematical processing of Mössbauer spectra of supersaturated disordered solid solutions by the Tikhonov regularization method employing a double convolution of a Lorentz and two Gaussian functions is proposed. For examples of spectra of supersaturated disordered solid solutions of Fe100–x (x = 10–25 at.%) and Fe75Si15Al10 it is shown that the algorithm can be used to provide more accurate processing with provision of a reliable distribution function for the hyperfi ne magnetic fi eld. It is shown that to account for a statistical ensemble of nonequivalent local atomic confi gurations of Fe atoms in disordered saturated solid solutions it is necessary to use not only the convolution of two Gaussian functions, but also a scaling coeffi cient for the projection of the hyperfi ne magnetic fi eld onto the velocity scale