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To my understanding, nucleation is essentially the formation of a new phase This can be heterogeneous (at boundaries and surfaces) or homogeneous (throughout the bulk) Growth is when these nucleii grow into full sized grains at the expense of the earlier phase It seems that you are also asking about their relations to temperatureWhat is the difference between homogeneous nucleation and heterogeneous nucleations?Heterogeneous nucleation typically has a much smaller barrier towards the phase transition and most phase transitions occurring in experiments or nature are started by heterogeneous nucleation Still, the focus in nucleation research often lies on the underlying homogeneous nucleation the formation of the new phase solely from fluctuations within the old phase Organic Mineral Interfacial Chemistry Drives Heterogeneous Nucleation Of Sr Rich Bax Sr1 X So4 From Undersaturated Solution Pnas Difference between heterogeneous and homogeneous nucleation