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1. Homogeneous nucleation occurs when a pure liquid metal is cooled below its equilibrium freezing temperature without the presence of any special objects that could cause nucleation. As the liquid is undercooled, atoms slowly bond together to form small crystalline nuclei homogeneously throughout the liquid. 2. For a nucleus to form, the decrease in Gibbs free energy from the volume transformation must exceed the increase in energy from forming the nucleus surface. There is a critical radius where these

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