Abstract:
Within the framework of the cluster model using the Mie pair power-law interaction potential with the effective depth of the potential well, whose depth is determined by the number of particles in the cluster, an equation for the calculation of the heat of melting of cluster systems is obtained. The resulting mathematical expression does not contain empirical constants and shows that the ratio of the heat of melting of a cluster to the heat of melting of a macroscopic sample is a universal function of the number of particles in the cluster and mathematically described by the square of the hyperbolic tangent.
Citation:
G. A. Mel'nikov, “Heat of melting of small clusters in the model of the potential with the effective well depth”, Fizika Tverdogo Tela, 60:5 (2018), 989–992; Phys. Solid State, 60:5 (2018), 1000–1004
\Bibitem{Mel18}
\by G.~A.~Mel'nikov
\paper Heat of melting of small clusters in the model of the potential with the effective well depth
\jour Fizika Tverdogo Tela
\yr 2018
\vol 60
\issue 5
\pages 989--992
\mathnet{http://mi.mathnet.ru/ftt9211}
\crossref{https://doi.org/10.21883/FTT.2018.05.45800.304}
\elib{https://elibrary.ru/item.asp?id=32739892}
\transl
\jour Phys. Solid State
\yr 2018
\vol 60
\issue 5
\pages 1000--1004
\crossref{https://doi.org/10.1134/S1063783418050207}
Linking options:
https://www.mathnet.ru/eng/ftt9211
https://www.mathnet.ru/eng/ftt/v60/i5/p989
This publication is cited in the following 4 articles:
Gennady Melnikov, Nikolay Ignatenko, Lyudmila Petrova, Olga Manzhos, Andrey Gromkov, A. Gorokhov, “On the influence of clustering processes in the liquid structure on Raman scattering”, MATEC Web Conf., 344 (2021), 01010
G. A. Melnikov, V.V. Suchilkin, N.M. Ignatenko, P. A. Krasnykh, 2020 7th International Congress on Energy Fluxes and Radiation Effects (EFRE), 2020, 998
G. A. Melnikov, O. A. Manzhos, N. M. Ignatenko, A. S. Gromkov, 2020 7th International Congress on Energy Fluxes and Radiation Effects (EFRE), 2020, 946
Gennady Melnikov, “The Heat of Sublimation of Small Cluster Systems”, KEM, 781 (2018), 114