Abstract
A strategy to overcome some specific problems associated to the computation of free energies in clusters is presented. Free energies and entropies of solid KCl nanoclusters are determined by thermodynamic integration, and Watanabe and Reinhardt’s dynamical method, based on molecular dynamics simulations. The values are in good agreement with experimental data. From a previous theoretical prediction of the caloric curve, T(E), for the coexistence region, an equation is derived to compute the free energies of the clusters at the solid-liquid coexistence. The results are discussed in the context of the thermodynamic stability of phase coexistent states for finite and infinite systems, yielding consistent conclusions.
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References
D. Frenkel, A.J.C. Ladd, J. Chem. Phys. 81, 3188 (1984)
D. Frenkel, B. Smit, Understanding Molecular Simulation. From Algorithms to Applications, 2nd edn. (Academic Press, 2002)
J.K. Lee, J.A. Barker, F.F. Abraham, J. Chem. Phys. 58, 3166 (1973)
M. Watanabe, W.P. Reinhardt, Phys. Rev. Lett. 65, 3301 (1990)
P.C.R. Rodrigues, F.M.S.S. Fernandes, J. Chem. Phys. 126, 024503 (2007)
P.C.R. Rodrigues, F.M.S.S. Fernandes, Eur. Phys. J. D 41, 113 (2007)
M.P. Allen, D.J. Tildesley, Computer Simulation of Liquids (Clarendon Press, Oxford, UK, 1987)
P.C.R. Rodrigues, F.M.S.S. Fernandes, Eur. Phys. J. D 44, 109 (2007)
R.O. Watts, I.J. McGee, Liquid State Chemical Physics (John Wiley and Sons, 1976)
L.V. Woodcock, Chem. Phys. Lett. 10, 257 (1970)
L.V. Woodcock, K. Singer, Trans. Faraday Soc. 67, 12 (1971)
M.J.L. Sangster, M. Dixon, Adv. Phys. 25, 247 (1976)
F.J.A.L. Cruz, J.N.C. Lopes, J.C.G. Calado, M.E.M. da Piedade, J. Phys. Chem. B 109, 24473 (2005)
F.J.A.L. Cruz, J.N.C. Lopes, J.C.G. Calado, J. Phys. Chem. B 110, 4387 (2006)
F.J.A.L. Cruz, J.N.C. Lopes, J.C.G. Calado, Fluid Phase Equilib. 241, 51 (2006)
P.C.R. Rodrigues, F.M.S.S. Fernandes, Int. J. Quant. Chem. 84, 169 (2001)
P.C.R. Rodrigues, F.M.S.S. Fernandes, Eur. Phys. J. D 40, 115 (2006)
P.C.R. Rodrigues, F.M.S.S. Fernandes, Eur. Phys. J. D 47, 373 (2008)
J.M.W. Chase, J. Phys. Chem. Ref. Data Monograph 9 27, I (1998), http://webbook.nist.gov
NIST Chemistry WebBook, NIST standard reference database No. 69, edited by P.J. Linstrom, W.G. Mallar (National Institute of Standards and Technology, Gaithersburg MD, 2003), http://webbook.nist.gov
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Rodrigues, P.C.R., Silva Fernandes, F.M.S. Free energies of ionic nanoclusters. Solid and coexistent solid-liquid states. Eur. Phys. J. D 49, 353–359 (2008). https://doi.org/10.1140/epjd/e2008-00175-2
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DOI: https://doi.org/10.1140/epjd/e2008-00175-2