Diffusive decomposition of solid solutions

Microstructural and mechanical analysis on Cu–Sn intermetallic micro-joints under isothermal condition

“…Lifshitz-Slezov-Wahner (LSW) theory [25] was established to describe the homogenizing process based on the diffusive decomposition in the supersaturated solid solutions, known as the classic Ostwald ripening process through decreasing the interfacial energy between phases in a conservative system. Another Flux-driven ripening (FDR) [26] theory was also developed later to describe the Cu 6 ), which is likely to obey the LSW theory of ripening, but this phenomenon herein is more probably characterized by the FDR theory.…”

Introductory Chapter: Description of the Real Monocrystalline Structure on the Basis of the Vlasov Model for Solids

“…Under condition Rt ðÞ =R cr t ðÞ≈ 1 (where R cr t ðÞis the critical radius of the precipitate), the precipitate is in equilibrium with the solution dR=dt ¼ 0 ðÞ . The precipitate grows at Rt ðÞ> R cr t ðÞand dissolves at Rt ðÞ< R cr t ðÞ [17,18].…”

Algorithm for Calculating the Initial Defect Structure of Semiconductor Silicon

“…The average size of precipitates at the stage of the coalescence is proportional to the cube root of time [20]:…”

“…Expressions (23) and (25) allow us to write the differential equation that describes the variation in the monomer concentration during the decomposition of the solid solution [9]: (27) At the third stage of the precipitation process, when the particles of the new phase are sufficiently large, the supersaturation is relatively low, new particles are not formed and the decisive role is played by the coalescence, which is accompanied by the dissolution of small-sized particles and the growth of large-sized particles. The condition providing for changeover to the coalescence stage is the ratio [20].…”