Abstract
The Mie-Grüneisen equation is adapted for the description of the thermodynamic properties of nano-objects. It is shown that the Grüneisen parameter \(\Gamma \) depends on the ratio of the number of surface atoms to the number of interior atoms of the nano-objects. This ratio is determined by the characteristic size of nano-object and its form. It increases with decrease of the characteristic size. Reduction of the characteristic size of nano-objects that have a free surface, leads to a change in the Grüneisen parameter. If the nano-object is embedded in a matrix and has with it the coherent boundary, at the decrease of the nano-object size occurs either an increase or decrease of \(\Gamma \). Compression or stretching of nano-objects may bring about a change of the ratio between numbers of the interior and surface atoms caused by changing the form of nano-objects. The change of the Grüneisen parameter at the characteristic size decreasing of a nano-object is treated as the change of a degree of the anharmonicity of lattice thermal vibrations. It is established that an appreciable change of Γ occurs if the characteristic radius of a nano-object is less than 5 nm.
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Chernyshev, A. The Mie-Grüneisen equation of state for metal nanoparticles. Eur. Phys. J. B 79, 321–325 (2011). https://doi.org/10.1140/epjb/e2010-10337-0
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DOI: https://doi.org/10.1140/epjb/e2010-10337-0