Lattice dislocation in Si nanowires

Models for mean bonding length, melting point and lattice thermal expansion of nanoparticle materials

“…(10). In the previous work on Si nanowires [7], we found, the lattice volume increases with the decrease of nanowires diameter, particularly for values smaller than 10 nm. Then the nanoscale lattice volume which is denoted by V(r) differs from that of the bulk V(1), so they should remain in the derivation leading to Eq.…”

“…In a previous work, on calculation of lattice thermal conductivity of Si Nanowires [7], a large dependence of lattice volume on the wires diameter is found. A similar dependence was also predicted in nanocrystals and nanowires of Si when inter-plane distances were measured from HRTEM images [6].…”

“…[15], and h (its maximum value). When the material size reduces to a nanoscale range, its melting temperature [23], thermal expansion [32], and the structure (related to d mean (r)), are accordingly change [7]. Then, Eq.…”

Modeling the Lattice Volume Effect on the Melting Temperature of Gold Nanoparticles

“…T r/ T ∞ =1-C/r (3) Where C denotes an unknown material constant. T r / T ∞ functions can be deduced by considering the average mean square displacement (msd) of atoms in a nanoparticle with σ 2 (r) [6][7][8][9][10][11], T r is the particle melting temperature and T  is that of the bulk.…”

“…To evaluate how lattice volume in Eq.10, affects the melting temperature, it should first be calculated; in this case a relation which is reported by Omar and Taha [10] for Si nanowires as shown in figure 1, for Au nanoparticles is modified and used to evaluate such dependence. There are good agreements between the experimental data and that obtained through Eq.…”