Abstract
Liquid drop model is used to predict the size dependent melting temperature of low dimensional systems. In the present work we have extended liquid drop model for predicting size dependent Debye temperature of nanoparticles of Au and Se. It is found that the Debye temperature drop when the particle size is decreased. The results obtained for the size dependence of the Debye temperature are found to be in good agreement with the experimental data. This supports the validity of the method presented in this paper. In the present study relationship for size dependent of specific heat is also deduced for nanoparticles using liquid drop model. Our theoretical predictions of size dependent of specific heat of Cu nanoparticles agree fairly well with available computer simulation results. The present relationship for Debye temperature and specific heat may be used to predict the Debye temperature and specific heat for nanomaterials.
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