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The book begins with a brief introduction to binary rare earth oxides, their physical and chemical stabilities, polymorphism, crystal structures and phase transformation and the association with current applications. The book goes on to present the band structure of the oxides using several quantum chemical calculations, which belong to a newly developed area in the binary rare earth oxides. Central to this chapter are the characterizations of electrical, magnetic and optical properties, as well as details of single crystal growth and particle preparation methods that have progressed in recent years. Later chapters concentrate on thermo-chemical properties and trace determination techniques. The final chapter contains a variety of useful applications in various fields such as phosphors, glass abrasives, automotive catalysts, fuel cells, solid electrolytes, sunscreens, iron steels, and biological materials.