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This lecture delves into the concept of surface energy in thermodynamics, discussing the implications of classical nucleation theory on the properties of solids. It explores the ambiguous nature of surface tension in relation to the size of solids and the weak points of theoretical frameworks. The presentation also covers the energy of adhesion, distinguishing between adhesion and cohesion in crystallographic matching. Furthermore, it examines the Gibbs free energy landscapes in classical and non-classical nucleation theories, shedding light on the mathematical simplifications and constraints involved. The lecture concludes with insights into crystal growth mechanisms, the hydrothermal synthesis process, and the significance of doping in modifying material properties.
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