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Clusters attract a large attention of scientists and practitioners as one of undiscovered problems of thermal physics and thermodynamics. They greatly influence the properties of real gases, playing important role in Universe, our everyday life and technologies. But small sizes and small bond energies prevent from direct investigations of clusters. The book describes quite new approach to physics of equilibrium clusters, as an extension of chemical thermodynamics. The developed methods of precise thermophysical data analysis based on computer processing of data, contained in modern electronic databases, successfully solves the inverse mathematical problem of hidden parameters extraction from experimental data. The author explains the methods and demonstrates surprising results, such as structural features of equilibrium clusters, their bond energies, unknown types of clusters, linear chain clusters, clusters with giant bond energies. The book will be interesting to researchers, practitioners, teachers, undergraduate and Ph.D students.