Melting temperatures of semiconductor nanocrystals in the mesoscopic size range

Abstract

A model, free of any adjustable parameters, is extended to predict the size dependence of the melting temperature of semiconductor nanocrystals. The model predictions are consistent with the experimental results for Si, Bi and CdS semiconductor nanocrystals. In addition, the simplified model with fixed material constants is in agreement with the usual phenomenological relationship that the size dependence of the melting temperature is proportional to the reciprocal of the nanocrystal radius.

Size-dependent interface adhesive energy and interface strength of nanostructured systems

“…According to Eq. (4) and the related parameters [2,[19][20][21][22] in Table 2, γ i = 2.93 Jm −2 , the value of several joules per meter square is in agreement with the interface energy of a series of the interfaces between the metals and the ceramics [9].…”

“…(4). For ZrO 2 , h is calculated by the lattice volume [16], V is calculated by the mass and the density [2], S v = S m -R with the melting entropy S m = H / T m [19], T m is the melting point. For metals, S v = S m .…”

Oxidation electronics: bond–band–barrier correlation and its applications

“…The approach favors closely the atomistic model of Jiang and Shi [414] who relate the amplitude of atomic vibration to the melting behavior of a surface and the surface energy. With few adjustable parameters, the model based on Lindemann and Mott premises for the relationship of vibrational melting entropy and melting temperature has applied well to the sizedependent melting of compounds [415], metals [416], nanotubes [417], polymers [418], glasses [419], inert gases [420], ice [421], and semiconductors [422]. In conjunction with Jiang's approach, the current BOLS premise could provide deeper insight into the physical origin and the general trends of the phase transition behavior of a nanometric solid.…”

Size Dependence of Structures and Properties of Magnetic Materials

“…As pointed out in the experimental observations for free nanocrystals or epitaxial thin films on inert substrates [134,257], there exist different degrees of spin-spin interactions between inner and surface atoms because of the reduction in the number of spin interactions at the surface with increase of lattice vibration [5,113,12,122,258]. For thin films with strong film/substrate interaction, the vibration of atoms there is depressed.…”

“…Over the past decades, following Takagi s experimental pioneering work in 1954 [8], which demonstrated T m (D) < T m ( ) where denotes the bulk size, thermal stabilities of metallic [9], organic [10,11], semiconductor [12] nanocrystals have been intensively studied experimentally and theoretically. It has been revealed that the crystalline lattice spacing in nanocrystals can be altered by surface relaxation [13], stress [14], or strain.…”