Calculation of the driving force for the radiation induced precipitation of Ni3Si in nickel-silicon alloys

The appearance of precipitates which have been identified as Ni3Si in irradiated stainless steels and nickel rich alloys such as Inconel is of considerable interest in relation to the swelling behaviour of such materials. Work on binary nickel-silicon alloys has shown that Ni3Si can be induced to precipitate in alloys whose silicon content is well below the accepted solubility limit, and it has also been shown that such precipitates redissolve when heat-treatment is continued at the same temperature in the absence of irradiation. Such effects imply an irradiation induced shift of chemical potential, and cannot be explained by merely involving accelerated diffusion. This paper represents an attempt to calculate the shift in chemical potential required to precipitate Ni3Si in alloys containing 1-10% Si (at%) over a range of temperatures (300-1000K), and then proceeds to relate this calculated chemical potential with available information concerning the dose rates required to induce such precipitates at various temperatures. Presentation of the results is modelled on the well established methods for handling the Time-Temperature-Transformation behaviour of ordinary alloy systems, with dose rate being substituted for the time axis. Analogous calculations are presented for nickel-germanium alloys, in order to check whether the numerical values deduced from the nickel silicon system have more general applicability, and also to see whether there are any significant differences in a system where the size factor of the solute is of the opposite sign. (orig.)