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1992

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Clusters with close packing


Joint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation

An analysis is given of the properties of a cluster cut from a face-centered and a body-centered cubic lattice and also from a hexagonal crystalline lattice about a certain center. The clusters have a shell structure and contain tens and hundreds of molecules. The binding energies of molecules and the surface energy of the cluster are shown for different occupation numbers and for three types of structure of the cluster, and also for different temperatures. It is shown that the concept of surface tension is valid for clusters containing tens of molecules, but from the point of view of the binding energy of the surface molecules a cluster consisting of hundreds of molecules is not a macroscopic particle even at relatively high temperatures. An expression is obtained for the surface energy of a cluster.

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Fulltext is also available at DOI: 10.1070/PU1992v035n01ABEH002194
PACS: 61.50.Ah, 68.35.Md, 61.46.Bc (all)
DOI: 10.1070/PU1992v035n01ABEH002194
URL: https://ufn.ru/en/articles/1992/1/c/
Citation: Smirnov B M "Clusters with close packing" Sov. Phys. Usp. 35 (1) 37–48 (1992)
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Оригинал: Смирнов Б М «Кластеры с плотной упаковкой» УФН 162 (1) 119–138 (1992); DOI: 10.3367/UFNr.0162.199201d.0119

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  1. B.M. Smirnov, G.V. Shlyapnikov “Metastable magnetic crystalsSov. Phys. Usp. 19 1023–1026 (1976)
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  7. A.A. Abrashkin, E.N. Pelinovsky “On the relation between Stokes drift and the Gerstner wavePhys. Usp. 61 307–312 (2018)
  8. A.M. Fridman, O.V. Khoruzhii “Nonuniversality of the classical concept of the tangential discontinuityPhys. Usp. 36 (3) 171–176 (1993)
  9. E.H. Lock “The properties of isofrequency dependences and the laws of geometrical opticsPhys. Usp. 51 375–393 (2008)
  10. A.V. Vashkovsky, E.H. Lock “On the relationship between magnetostatic wave energy and dispersion characteristics in ferrite structuresPhys. Usp. 54 281–290 (2011)
  11. V.V. Brazhkin “Can glassforming liquids be 'simple'?Phys. Usp. 62 623–629 (2019)
  12. S.M. Stishov “Quantum effects in a system of Boltzmann hard spheresPhys. Usp. 62 617–622 (2019)
  13. G.S. Bisnovatyi-Kogan, I.A. Kondratyev “Free electron gas and electron—positron pair equilibrium in a magnetic fieldPhys. Usp. 64 515–528 (2021)
  14. V.V. Brazhkin “'Quantum' values of the extrema of 'classical' macroscopic quantitiesPhys. Usp. 66 1154–1163 (2023)
  15. V.I. Klyatskin, A.I. Saichev “Statistical and dynamic localization of plane waves in randomly layered mediaSov. Phys. Usp. 35 (3) 231–247 (1992)
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  17. V.L. Lyuboshits, M.I. Podgoretskii “The Archimedes force acting on individual molecules of matter in an external fieldSov. Phys. Usp. 34 (11) 997–1007 (1991)
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  19. I.I. Abbasov, B.M. Bolotovskii, V.A. Davydov “High-frequency asymptotic behavior of radiation spectra of moving charges in classical electrodynamicsSov. Phys. Usp. 29 788–796 (1986)
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