Nucleation and growth refer to the processes by which new phases or structures, such as crystals, form from a solution, vapor, or other phase. Nucleation is the initial step where small clusters or 'nuclei' of the new phase form, while growth is the subsequent stage where these nuclei increase in size and develop into larger structures. Understanding these processes is crucial for synthesizing inorganic compounds effectively, influencing factors like purity, size distribution, and morphology of the final product.