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Size-Dependent Materials Properties Toward a Universal Equation

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Author(s): Guisbiers G

Journal: Nanoscale Research Letters
ISSN 1931-7573

Volume: 5;
Issue: 7;
Start page: 1132;
Date: 2010;
Original page

Keywords: Nanomaterials | Size effect | Shape effect | Theory | Top–down

ABSTRACT
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.
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Tango Jona
Tangokurs Rapperswil-Jona