The Heat of Sublimation of Small Cluster Systems

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Abstract:

Within the framework of the cluster model of the structure of disordered condensed media, using the pair potential of Mie interaction with the effective depth of the potential well, the relation was obtained for calculating the heat of sublimation of small cluster systems containing up to 500 particles. It is shown that the heat of sublimation of small clusters, referred to the energy of pair interaction between particles, is a universal function of the number of particles in the cluster system, which can be mathematically represented as the square of the hyperbolic tangent. The proposed model makes it possible to estimate the potential energy of the global minimum of the cluster system.

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114-118

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September 2018

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© 2018 Trans Tech Publications Ltd. All Rights Reserved

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[1] G.N. Makarov, Experimental methods for determining the temperature and heat of fusion of clusters, UFN. 2010. 180(2). p.185–207.

Google Scholar

[2] N.T. Gladkich, R. Niedermayer, K. Spiegel, Nachweis groser Schmelzpunktserniedrigungen bei d¨unnen Metallschichten, Phys. Stat. Solidi. 1966. 15. p.181–203.

DOI: 10.1002/pssb.19660150116

Google Scholar

[3] G. Melnikov, S. Yemelianov, N. Ignatenko, E. Cherkasov, O. Manzhos, Cluster melting in effective potential model, IOP Conference Series: Materials Science and Engineering 168 (2017) 012021.

DOI: 10.1088/1757-899x/168/1/012021

Google Scholar

[4] C.C. Yang, M.X. Xiao, W.Lic, Q. Jiang, Size effects on Debye temperature, Einstein temperature, and volume thermal expansion coefficient of nanocrystals, Solid State Communications 139 (2004) p.148–152.

DOI: 10.1016/j.ssc.2006.05.035

Google Scholar

[5] D.J. Wales, The Cambridge Cluster, Information on http://www-wales.ch.cam.ac.uk/CCD.htm.

Google Scholar

[6] Y. Evtushenko, M. Posypkin, A deterministic algorithm for global multi-objective optimization, Optimization Letters7(4)(2013) p.819–829.

DOI: 10.1080/10556788.2013.854357

Google Scholar

[7] G. Melnikov, Heat of Melting of Small Clusters in the Model of the Potential with the Effective Well Depth, Solid State Physics 60(5)(2018) p.1000–1004.

DOI: 10.1134/s1063783418050207

Google Scholar

[8] A. Siber, Vibrations of closed-shell Lennard-Jones icosahedral and cuboctahedral clusters and their effect jn the cluster ground-state energy, Phys. Rev. B 70(2004) 075407.

DOI: 10.1103/physrevb.70.075407

Google Scholar

[9] J.P.K. Doye, D.J. Wales, R.S. Berry, The effect of the range of the potential on the structures of clusters, J. Chem. Phys. 103(10) (1995) 4236.

Google Scholar

[10] H. Xu, B.J. Berne, Multicanonical jump walk annealing: An efficient method for geometric optimization, J. Chem. Phys. 112(6) (2000) p.2701–2708.

DOI: 10.1063/1.480844

Google Scholar

[11] G.Melnikov, The quasicrystal model of cluster systems in condensed matter, IOP Conference Series: Materials Science and Engineering168 (2017) 012020.

DOI: 10.1088/1757-899x/168/1/012020

Google Scholar

[12] D.S. Bertoldi, E.N. Millán, A.F. Guillermet, Thermodynamics of the melting process in Au nano-clusters: Phenomenology, energy, entropy and quasi-chemical modeling, Journal of Physics and Chemistry of Solids111(2017) p.286–293.

DOI: 10.1016/j.jpcs.2017.08.010

Google Scholar

[13] N. Cruz, M. Olivares, The golden ratio in Schwarzschild–Kottler black holes, European Physical Journal C 77(2) (2017) 123.

DOI: 10.1140/epjc/s10052-017-4670-7

Google Scholar