Mechanical and thermal stability of crystal lattice imperfections in metallic fine particles were theoretically examined and compared with those in bulk materials. As generally expected, dislocations, grain boundaries and phase boundaries were found to be unstable in fine particles except for a few special cases. The finer the particles, the less stable these imperfections. Because of their very small self-energy, stacking fault layers might be able to survive as the least unstable imperfection after annealing to a considerable extent. In contrast with these imperfections, it is possible to show that vacancies in fine crystal particles could have a thermal equilibrium concentration much higher than that in the bulk crystal at fairly low temperatures. For instance, copper fine particles of 1 micron in diameter could have a thermal equilibrium concentration of vacancies a few hundreds times higher than that in the bulk material at around 300°C, when they have clean spherical surfaces. Application of these calculations to some practical problems, such as the phase transformation, oxidation, and sintering processes of metallic fine particles, were also discussed. The very high thermal equilibrium concentration of vacancies seems to play the main rôle in most of these cases.
Read full abstract