, Volume 5, Issue 7, pp 1132-1136,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 04 May 2010

Size-Dependent Materials Properties Toward a Universal Equation

Abstract

Due to the lack of experimental values concerning some material properties at the nanoscale, it is interesting to evaluate this theoretically. Through a “top–down” approach, a universal equation is developed here which is particularly helpful when experiments are difficult to lead on a specific material property. It only requires the knowledge of the surface area to volume ratio of the nanomaterial, its size as well as the statistic (Fermi–Dirac or Bose–Einstein) followed by the particles involved in the considered material property. Comparison between different existing theoretical models and the proposed equation is done.