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An extensive account of recent advances in the field , with principal emphasis on the interplay between the various experimental and theoretical methods that are used to obtain a molecular-level understanding of the stability, chemical reactivity, structural and dynamical properties of hydrogen bonded clusters. Several experimental techniques are presented (HR-IR, UV, PES). Critical accounts of the requirements of various experimental methods used to study the systems are also given (first principles electronic structure techniques, diffusion Monte Carlo, universal empirical models). Representative examples outline the role of hydrogen bonds in prototype systems, such as clusters of water, ammonia, methanol, hydrogen fluoride, and hydrated ions, as well as processes in atmospheric aerosols, ice, and model biological systems.