Liquid-drop model for the size-dependent melting of low-dimensional systems

Size dependence of nanostructures: Impact of bond order deficiency

“…5 illustrates the potential well of a nanosolid because of the BOLS correlation. Compared with the QC convention that extends the mono-center trapping potential well of an isolated atom by rescaling the size, the BOLS potential well covers contributions from the [94], see Fig. 4.…”

“…4. Correlation between the cohesive energy per coordinate and the T m of different elements and crystal structures [94]. The data for cohesive energy per atom are taken from Refs.…”

“…The modes for nanosolid melting are of typical form as for the models of (i) homogeneous melting and growth [80,81], (ii) liquid shell nucleation [82e85], (iii) liquid nucleation and growth [82,86,87], and (vi) random fluctuation melting [88]. The origins for nanosolid melting are ascribed as (i) lattice-vibrational instability [41,89e93], (ii) liquid-drop formation [94], and (iii) the surface-phonon instability [95e97].…”

“…The liquid-drop model [94] relates the T m to the E coh of the entire particle of N j atoms. With surface involvement, the E coh equals the difference between the volume cohesive energy (N j E B ) and the surface energy ð4pd …”

Melting and thermodynamic properties of rare gas nanocrystals

“…Among recent theoretical approaches to description of size-dependent melting of nanocrystals, we would like to mention the liquid-drop model [22] taking into account reduction of the cohesion energy of atoms of a nanoparticle with reduction of its size and using a relation between the melting temperature and the cohesion energy [23].…”