Size and shape dependence of Debye temperature and Raman frequency of nanomaterials

A simple theoretical model is developed to study the size and shape dependence of Debye temperature and Raman frequency of nanomaterial. We have studied the effect of size and shape on Debye temperature of nanocrystalline Fe, Co, Al and Ag. The model is extended to study the effect of size and shape on the Raman frequency of nanocrystalline SnO2, CeO2 and CdSe. The results obtained are compared with the available experimental data. A good agreement between the theory and experimental data supports the validity of the model developed. We also report the results for nanowire and nanofilm in the absence of experimental data, which may help the researchers engaged in the experimental studies.