The destabilization of a planar solid/liquid interface during resolidification of the molten surface layer of Si–Sn alloys is investigated. Experimental data are compared with the results of a transient numerical stability analysis. In that analysis the time evolution of an infinitesimal sinusoidal perturbation of a planar interface is investigated. For this the concentration profile in the melt as well as the temperature distributions in the melt and solid are divided into a base state and a state due to the perturbation. The highly nonuniform Sn profiles implanted in (100) silicon samples serve as initial conditions for the numerical calculations. Deviations from thermal equilibrium at the solid/liquid interface are considered. The critical concentration for breakdown is calculated as a function of solidification velocity and compared with the results of the analytical analysis of Huntley and Davis [Acta Metall. Mater. 41, 2025 (1993)]. It is further investigated whether an analytical steady-state stability analysis can be used to approximately describe the experiments considered.
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