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Free energies of ionic nanoclusters. Solid and coexistent solid-liquid states

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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

  1. D. Frenkel, A.J.C. Ladd, J. Chem. Phys. 81, 3188 (1984)

    Article  ADS  Google Scholar 

  2. D. Frenkel, B. Smit, Understanding Molecular Simulation. From Algorithms to Applications, 2nd edn. (Academic Press, 2002)

  3. J.K. Lee, J.A. Barker, F.F. Abraham, J. Chem. Phys. 58, 3166 (1973)

    Article  ADS  Google Scholar 

  4. M. Watanabe, W.P. Reinhardt, Phys. Rev. Lett. 65, 3301 (1990)

    Article  ADS  Google Scholar 

  5. P.C.R. Rodrigues, F.M.S.S. Fernandes, J. Chem. Phys. 126, 024503 (2007)

    Article  ADS  Google Scholar 

  6. P.C.R. Rodrigues, F.M.S.S. Fernandes, Eur. Phys. J. D 41, 113 (2007)

    Article  ADS  Google Scholar 

  7. M.P. Allen, D.J. Tildesley, Computer Simulation of Liquids (Clarendon Press, Oxford, UK, 1987)

    MATH  Google Scholar 

  8. P.C.R. Rodrigues, F.M.S.S. Fernandes, Eur. Phys. J. D 44, 109 (2007)

    Article  ADS  Google Scholar 

  9. R.O. Watts, I.J. McGee, Liquid State Chemical Physics (John Wiley and Sons, 1976)

  10. L.V. Woodcock, Chem. Phys. Lett. 10, 257 (1970)

    Article  ADS  Google Scholar 

  11. L.V. Woodcock, K. Singer, Trans. Faraday Soc. 67, 12 (1971)

    Article  Google Scholar 

  12. M.J.L. Sangster, M. Dixon, Adv. Phys. 25, 247 (1976)

    Article  ADS  Google Scholar 

  13. 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)

    Article  Google Scholar 

  14. F.J.A.L. Cruz, J.N.C. Lopes, J.C.G. Calado, J. Phys. Chem. B 110, 4387 (2006)

    Article  Google Scholar 

  15. F.J.A.L. Cruz, J.N.C. Lopes, J.C.G. Calado, Fluid Phase Equilib. 241, 51 (2006)

    Article  Google Scholar 

  16. P.C.R. Rodrigues, F.M.S.S. Fernandes, Int. J. Quant. Chem. 84, 169 (2001)

    Article  Google Scholar 

  17. P.C.R. Rodrigues, F.M.S.S. Fernandes, Eur. Phys. J. D 40, 115 (2006)

    Article  ADS  Google Scholar 

  18. P.C.R. Rodrigues, F.M.S.S. Fernandes, Eur. Phys. J. D 47, 373 (2008)

    Article  ADS  Google Scholar 

  19. J.M.W. Chase, J. Phys. Chem. Ref. Data Monograph 9 27, I (1998), http://webbook.nist.gov

    Google Scholar 

  20. 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

    Google Scholar 

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Correspondence to F. M. S. Silva Fernandes.

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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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