This up-to-date review closes an important gap in the literature by providing a comprehensive description of the Mossbauer effect in lattice dynamics, along with a collection of applications in metals, alloys, amorphous solids, molecular crystals, thin films, and nanocrystals. It is the first to systematically compare Mossbauer spectroscopy using synchrotron radiation to conventional Mossbauer spectroscopy, discussing in detail its advantages and capabilities, backed by the latest theoretical...