Ab initio molecular dynamics study of crystal hydrates of HCl including path integral results

(Note: The full text of this document is currently only available in the PDF Version )

Tycho von Rosenvinge, Mark E. Tuckerman and Michael L. Klein


Abstract

The hydrates of hydrogen chloride are ionic crystals, which contain hydronium. The hydronium in the monohydrate has been reported to be statistically disordered between two possible sites related by inversion symmetry. Abinitio molecular dynamics (MD) calculations are presented for the mono-, di- and tri-hydrates of hydrogen chloride using the density functional based Car–Parrinello technique. The simulations were carried out with the goal of investigating proton disorder in these crystals. The possible role of nuclear quantum effects has been explored via path integral MD simulations. The results suggest that the proposed disordered sites in the monohydrate are dynamically unstable and therefore unlikely to be responsible for the reported disorder. Unfortunately, little information was obtained for the dihydrate because the large unit cell leads to difficulties in carrying out the simulations. Nuclear quantum effects are shown to be important for characterizing the proton distributions in the trihydrate.


References

  1. Gmelins Handbuch der Anorganischen Chemie, Verlag Chemie, Weinheim, 1969, vol. 6, p. 215 Search PubMed.
  2. Y. K. Yoon and G. B. Carpenter, Acta Crystallogr., 1958, 12, 17 CrossRef CAS.
  3. C. C. Ferriso and D. F. Hornig, J. Chem. Phys., 1955, 23, 1464 CAS.
  4. M. E. Tuckerman, K. Laasonen, M. Sprik and M. Parrinello, J. Phys. Chem., 1995, 99, 5749 CrossRef CAS.
  5. M. E. Tuckerman, K. Laasonen, M. Sprik and M. Parrinello, J. Chem. Phys., 1995, 103, 150 CrossRef CAS.
  6. M. E. Tuckerman, D. Marx, M. L. Klein and M. Parrinello, Science, 1997, 275, 817 CrossRef CAS.
  7. D. E. Sagnella and M. E. Tuckerman, J. Chem. Phys., in press Search PubMed.
  8. D. Marx and M. Parrinello, J. Chem. Phys., 1996, 104, 4077 CrossRef CAS.
  9. M. E. Tuckerman, D. Marx, M. L. Klein and M. Parrinello, J. Chem. Phys., 1996, 104, 5579 CrossRef CAS.
  10. M. E. Tuckerman, P. Ungar, T. von Rosenvinge and M. L. Klein, J. Phys. Chem., 1996, 100, 12878 CrossRef CAS.
  11. R. Car and M. Parrinello, Phys. Rev. Lett., 1985, 55, 2471 CrossRef CAS.
  12. G. Galli and M. Parrinello, in Computer Simulations in Material Science, ed. M. Meyer and V. Pontikis, Kluwer, Boston, 1991 Search PubMed.
  13. R. P. Feynman, Statistical Mechanics: A Set of Lectures, Benjamin/Cummings, Reading, MA, 1982 Search PubMed.
  14. D. Chandler and P. Wolynes, J. Chem. Phys., 1981, 74, 4078 CrossRef CAS.
  15. D. Marx and M. Parrinello, Science, 1996, 271, 179 CrossRef CAS.
  16. A. Trare, F. Buda and A. Pasolino, Phys. Rev. Lett., 1996, 77, 5405 CrossRef.
  17. W. Kohn and L. Sham, Phys. Rev. A, 1965, 140, 1133.
  18. R. Parr and W. Yang, Density Functional Theory of Atoms and Molecules, Oxford University Press, New York, 1989 Search PubMed.
  19. W. Kohn, A. Becke and R. G. Parr, J. Phys. Chem., 1996, 100, 12974 CrossRef CAS.
  20. D. Vanderbilt, Phys. Rev. B, 1990, 41, 7892 CrossRef.
  21. K. Laasonen, A. Pasquarello, R. Car, C. Lee and D. Vanderbilt, Phys. Rev. B, 1993, 47, 10142 CrossRef.
  22. J. Hutter, M. E. Tuckerman and M. Parrinello, J. Chem. Phys., 1995, 102, 859 CrossRef CAS.
  23. M. Parrinello and A. Rahman, J. Chem. Phys., 1984, 80, 860 CrossRef CAS.
  24. M. E. Tuckerman, B. J. Berne, G. J. Martyna and M. L. Klein, J. Chem. Phys., 1993, 99, 2796 CrossRef.
  25. G. J. Martyna, M. E. Tuckerman and M. L. Klein, J. Chem. Phys., 1992, 98, 1990.
  26. G. B. Bachelet, D. R. Hamann and M. Schlüter, Phys. Rev. B, 1982, 26, 4199 CrossRef CAS.
  27. D. R. Hamann, Phys. Rev. B, 1989, 40, 2980 CrossRef.
  28. A. D. Becke, Phys. Rev. A, 1988, 38, 3098 CrossRef CAS.
  29. C. Lee, W. Yang and R. G. Parr, Phys. Rev. B, 1988, 37, 785 CrossRef CAS.
  30. J. Hutter, P. Ballone, M. Bernasconi, P. Focher, E. Fois, S. Goedecker, M. Parrinello and M. E. Tuckerman, CPMD Version 3.0, MPI für Festkörperforschung and IBM Research, 1990–1996.
  31. J.-O. Lundgren, Acta Crystallogr. B, 1970, 26, 1893 CrossRef CAS.
  32. International Tables for Crystallography, Kluwer Academic Press, Boston, 1992, vol. C, p. 500 Search PubMed.
  33. M. Sprik, J. Hutter and M. Parrinello, J. Chem. Phys., 1996, 105, 1142 CrossRef CAS.
  34. J.-O. Lundgren and I. Olovsson, Acta Crystallogr., 1967, 23, 966 CrossRef CAS.
  35. G. J. Martyna, A. Hughes, M. E. Tuckerman and T. von Rosenvinge, Mol. Phys., in press Search PubMed.
  36. J.-O. Lundgren and I. Olovsson, Acta Crystallogr., 1967, 23, 971 CrossRef CAS.
  37. K. E. Laasonen and M. L. Klein, J. Phys. Chem., 1997, 101, 98 Search PubMed.
  38. B. Halle and G. Karlström, J. Chem. Soc., Faraday Trans. 2, 1983, 79, 1031 RSC.