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Teplofizika vysokikh temperatur, 2005, Volume 43, Issue 6, Pages 870–879 (Mi tvt1460)  

This article is cited in 7 scientific papers (total in 7 papers)

Thermophysical Properties of Materials

The Variation of “Surface” Pressure in a Nanocrystal as a Function of Temperature

M. N. Magomedov

Institute of Geothermy Problems, Makhachkala
Abstract: The Mie-Lennard-Jones potential of interatomic interaction is used to derive an expression for “surface” pressure in a nanocrystal with free surface. The nanocrystal has the form of a parallelepiped with a square base. The number of atoms $N$ may vary from eight to $\infty$. It is found that a certain “inversion temperature” $T_i$ exists for any substance, where the temperature dependences of surface pressure for different sizes of nanocrystal intersect. When the crystal disperses in the $T < T_i$ region, the “surface” pressure increases, and in the $T > T_i$ region decreases, with decreasing size of nanocrystal: $P_{\text{sf}}(N) \sim N^{-1/3}$. The greater the deviation of the nanocrystal shape from cubic, the stronger the dependence $P_{\text{sf}}(N)$. It is demonstrated that, at some temperatures $(T < T_0)$, the “surface” pressure compresses the nanocrystal, and at other temperatures-stretches this nanocrystal, as its size decreases. The more clearly the quantum effects are defined in the crystal, the lower the value of the “temperature of zero surface pressure” $T_0$, which depends on the nanocrystal size and shape.
Received: 29.06.2004
English version:
High Temperature, 2005, Volume 43, Issue 6, Pages 870–880
DOI: https://doi.org/10.1007/s10740-005-0134-0
Document Type: Article
UDC: 539.211+541.182
Language: Russian
Citation: M. N. Magomedov, “The Variation of “Surface” Pressure in a Nanocrystal as a Function of Temperature”, TVT, 43:6 (2005), 870–879; High Temperature, 43:6 (2005), 870–880
Citation in format AMSBIB
\Bibitem{Mag05}
\by M.~N.~Magomedov
\paper The Variation of ``Surface'' Pressure in a Nanocrystal as a Function of Temperature
\jour TVT
\yr 2005
\vol 43
\issue 6
\pages 870--879
\mathnet{http://mi.mathnet.ru/tvt1460}
\transl
\jour High Temperature
\yr 2005
\vol 43
\issue 6
\pages 870--880
\crossref{https://doi.org/10.1007/s10740-005-0134-0}
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  • https://www.mathnet.ru/eng/tvt/v43/i6/p870
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Teplofizika vysokikh temperatur Teplofizika vysokikh temperatur
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