Nano Express

Nanoscale Research Letters

, 5:1132

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Size-Dependent Materials Properties Toward a Universal Equation

  • G GuisbiersAffiliated withUCL, Institute of Mechanics, Materials and Civil Engineering Email author 


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.


Nanomaterials Size effect Shape effect Theory Top–down