Size, shape and temperature effect on nanomaterials

Abstract

A simple theoretical model is developed to study the size, shape and temperature effect on nanomaterials. The temperature dependence of thermal expansion and Young modulus of different type (shape) of nanomaterials viz. spherical, nanowire and nanofilm has been studied. Size dependence of Young modulus in two different regions of temperatures viz. below Debye temperature and above Debye temperature has been investigated for different shape of nanomaterials. The thermal and elastic behaviour is related to vibrational frequency of nanomaterials. Therefore, the size dependence of vibrational frequency of different shape of nanomaterials has been computed. The model predictions are compared with the earlier theoretical and available experimental data. A good agreement supports the validity of the model proposed.