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Size-Dependent Materials Properties Toward a Universal Equation

G Guisbiers

Author affiliations

UCL, Institute of Mechanics, Materials and Civil Engineering, 2 Place Sainte Barbe, 1348, Louvain-La-Neuve, Belgium

Citation and License

Nanoscale Research Letters 2010, 5:1132-1136  doi:10.1007/s11671-010-9614-1

Published: 4 May 2010


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