Abstract
A simple theory using bond energy model is proposed to determine the size and shape dependence of critical transition temperature Tc(D) for nanomaterials. The theory is used to compute Tc(D) of different types of nanomaterials: ferromagnetic (Ni), ferroelectric (PbTiO3) and superconducting (MgB2). It is found that Tc(D) depends on size and shape. Some previously developed models are also considered for comparison purposes. The results are discussed in the light of available experimental data as well as with those reported by earlier workers. The superiority of one model over others is discussed. Surface to volume atomic ratio is also computed with the present model and used to explain the results. A fair agreement between the theory and experiment demonstrates validity of the model developed in the present work. This encourages the authors to extend the model to study the size and shape dependence of saturation magnetization and Néel temperature.
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