I am adding the following for better understanding. First of all by "neculation" is presume you mean "nucleation". Nucleation of solid particles in the liquid phase is the first step in solidification and is followed by growth to complete the solidification. There are two types of nucleation-homogeneous and heterogeneous. The latter is more common in practice as the homogeneous nucleation generally requires very large undercooling. The critical size for homogeneous nucleation is directly proportional to the energy at the liquid-solid interface and the melting point, while it is inversely proportional to the degree of undercooling. The critical radius of heterogeneous nucleation is directly proportional to that for homogeneous nucleation and inversely proportional to a trigonometric function. You can find this information in any standard text book on materials science. Inoculation, on the other hand is a melt treatment to promote nucleation of graphite in cast irons. There are several theories associated with this but a well accepted theory involves oxide particles It is strongly suggested that the web site noted in my first answer be accessed to understand all aspects of inoculation.