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Equijost. 2014; 2(1): 155-159


MODELING THE MELTING OF CRYSTALLINE SOLIDS

Manga, U. S., Ali, U.A..




Abstract

It is suggested that at the melting temperature the thermal phonon vibration is in self-resonance with the lattice vibration of the surface atomic/molecular layer. This self-resonance occurs at a well-defined temperature and triggers the detachment of the atomic/molecular sheet or platelets from the surface of the crystal. In this paper, thermodynamic data of five substances is used to test this hypothesis. The calculated average phonon vibration wavelengths are equal with or harmonics of the displacing of the atomic/molecular sheets (Tab. 4.2). The proposed model is able to explain all the features of melting (Tab. 4.1). Indeed, the average energy of the atoms must be higher than the transition state; the phonon vibration must be in resonance with the atomic/molecular sheets at the surface; and extra energy able to overcome a viscous drag resistance must be available (Fig. 4.1)

Key words: Modeling, Solids, Melting, Crystalline and Wavelengths






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