The solubility range has a large effect on the growth rate of intermetallic compounds (IMCs) formed at hetero-junctions, however, is extremely difficult to determine accurately experimentally. In this work, it is studied for IMCs with a narrow solubility range how the thermodynamic properties affect their solubility and growth rate in hetero-junctions. Furthermore, a method is developed to estimate the solubility range of IMCs based on phase-field simulations combined with experimentally measured diffusion coefficients and steady-state growth rate coefficients. Application of the method to the phases ε-Cu3Sn and η-Cu6Sn5 of the Cu–Sn system at 453K, gives the solubility ranges of the order of Δxε=2.0×10−2 and Δxη=2.6×10−2 using the experimental growth rates kε=4.40×10−9 and kη=7.76×10−9ms−0.5 (Onishi and Fujibuchi, 1975) together with the diffusion coefficients D∼ε=3.62×10−16 and D∼η=1.01×10−15m2s−1 (Mei et al., 1992), respectively.
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