The nuclear gamma resonance method or the Mössbauer effect, is one of the most powerful methods of examining the structure of matter and substances.The monograph indicates the key problems that have to be solved for the further development of the Mössbauer methods for analysis of the nuclear and magnetic structure of alloys, and offer solution variants for some of these problems based on the generalised results of a wide range of theoretical and experimental investigations, including original work by the author of the book and his colleagues.