The melting temperature of microcrystals embedded in a matrix

Thermodynamic model for solid-state amorphization of pure elements by mechanical-milling

“…DE 2 denotes the change in strain energy density (per unit volume) resulting from the volume change upon the amorphization. According to Allen et al [26]:…”

Melting point depression of tin nanoparticles embedded in a stable alpha-alumina matrix fabricated by ball milling

“…These data from different groups and the present work show a linear relationship of melting point with inverse particle size [12,[19][20]. According to a thermodynamic calculation [19,22], melting point (T m ) of spherical particles can be specified as:…”

“…Melting was found to occur on the particle-matrix interfaces for embedded particles. Since the embedded nanoparticles have a larger interfacial area, melting is expected to happen at a lower temperature [1,12,[19][20][21][22].…”

“…3b, the difference between γ lm and γ sm was calculated to be -59mJ/m 2 , which means that the interfacial energy of solid tin particle-matrix is larger than liquid tin particle-matrix. Allen et al [22] suggested that interfacial bonding of particle-matrix is crucial in determining particle melting temperature [22]. If the interface is coherent, superheating can result [22].…”

“…Allen et al [22] suggested that interfacial bonding of particle-matrix is crucial in determining particle melting temperature [22]. If the interface is coherent, superheating can result [22]. On the contrary, the particle-matrix interfaces produced by BM are usually incoherent, which results in high interfacial energy (γ sm ).…”