Abstract
A model of nanocrystal in the form of a rectangular parallelepiped with variable surface shape (RP model) is used to study the dependences of surface pressure P sf , elasticity modulus B T , and of the size compression depending on the size and shape of simple substance with free surface. It is shown that the surface pressure of nanocrystal is always lower than the pressure determined by the Laplace equation: P sf < P ls . Moreover, the surface pressure changes the sign and stretches the nanocrystal at high temperature. An expression for the temperature corresponding to the zero surface pressure was obtained, i.e., the temperature at which the equality P sf = 0 is satisfied. It is shown that elasticity modulus B T decreases with a decrease in the size of the nanocrystal due to the increase in the Laplace pressure P ls . The more the shape of nanocrystal differs from the most energetically stable shape (cube for the RP model), the more noticeable the dependencies of the functions P ls , P sf , and B T are on the size upon the decreasing size of the nanocrystal along the isotherm. Particular calculations are carried out for diamond.
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Original Russian Text © M.N. Magomedov, 2014, published in Rossiiskie Nanotekhnologii, 2014, Vol. 9, Nos. 5–6.
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Magomedov, M.N. On the surface pressure of nanocrystal. Nanotechnol Russia 9, 293–304 (2014). https://doi.org/10.1134/S1995078014030100
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DOI: https://doi.org/10.1134/S1995078014030100