https://doi.org/10.1140/epjb/e2010-10337-0
The Mie-Grüneisen equation of state for metal nanoparticles
Department of General Physics, Novosibirsk State Technical University, pr. Karl Marks 20, 630092 Novosibirsk, Russia
Corresponding author: a alfred-chernyshev@yandex.ru
Received:
1
August
2009
Revised:
27
April
2010
Published online:
14
January
2011
The Mie-Grüneisen equation is adapted for the description
of the thermodynamic properties of nano-objects. It is shown that the
Grüneisen parameter 
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 .
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.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2011
