Splat cooling is a method for quenching small droplets of molten materials by rapid contact with a cold surface. The particles undergo a characteristic cooling process, with the heat profile at t = 0 for initial temperature as the maximum at x = 0 and T = 0 at x = − − ∞ ∞ and x = ∞ ∞ , and the heat profile at t = ∞ ∞ for − − ∞ ∞ ≤ ≤ x ≤ ≤ ∞ ∞ as the boundary conditions. Splat cooling rapidly ends in a steady state temperature, and is similar in form to the Gaussian diffusion equation. The temperature profile, with respect to the position and time of this type of cooling, varies with: T ( x , t ) − − T i = T i Δ Δ X 2 π π α α t exp ⁡ ⁡ ( − − x 2 4 α α t )