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First-principles molecular dynamics simulations at solid-liquid interfaces with a continuum solvent

J. Chem. Phys. 131, 174108 (2009); doi:10.1063/1.3254385

Published 4 November 2009

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Verónica M. Sánchez,1 Mariela Sued,2 and Damián A. Scherlis1
1Departamento de Química Inorgánica, Analítica y Química Física/INQUIMAE, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pab. II, Buenos Aires C1428EHA, Argentina
2Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pab. II, Buenos Aires C1428EHA, Argentina

Continuum solvent models have become a standard technique in the context of electronic structure calculations, yet no implementations have been reported capable to perform molecular dynamics at solid-liquid interfaces. We propose here such a continuum approach in a density functional theory framework using plane-wave basis sets and periodic boundary conditions. Our work stems from a recent model designed for Car–Parrinello simulations of quantum solutes in a dielectric medium [D. A. Scherlis et al., J. Chem. Phys. 124, 074103 (2006)], for which the permittivity of the solvent is defined as a function of the electronic density of the solute. This strategy turns out to be inadequate for systems extended in two dimensions: the dependence of the dielectric function on the electronic density introduces a new term in the Kohn–Sham potential, which becomes unphysically large at the interfacial region, seriously affecting the convergence of the self-consistent calculations. If the dielectric medium is properly redefined as a function of the atomic coordinates, a good convergence is obtained and the constant of motion is conserved during the molecular dynamics simulations. The Poisson problem is solved using a multigrid method, and in this way Car–Parrinello molecular dynamics simulations of solid-liquid interfaces can be performed at a very moderate computational cost. This scheme is employed to investigate the acid-base equilibrium at the TiO2-water interface. The aqueous behavior of titania surfaces has stimulated a large amount of experimental research, but many open questions remain concerning the molecular mechanisms determining the chemistry of the interface. Here we make an attempt to answer some of them, putting to the test our continuum model. ©2009 American Institute of Physics
History: Received 5 March 2009; accepted 5 October 2009; published 4 November 2009
Permalink: http://link.aip.org/link/?JCPSA6/131/174108/1
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KEYWORDS and PACS

Keywords
PACS
  • 68.08.De
    Liquid-solid interface structure: measurements and simulations
  • 71.15.Pd
    Molecular dynamics calculations and other numerical simulations (condensed matter electronic structure)
  • 77.22.Ch
    Permittivity (dielectric function)
  • 71.15.Mb
    Density functional theory, local density approximation, gradient and other corrections (condensed matter electronic structure)
  • 82.65.+r
    Surface and interface chemistry; heterogeneous catalysis at surfaces
  • 71.45.Gm
    Exchange, correlation, dielectric and magnetic response functions, plasmons
  • YEAR: 2009

PUBLICATION DATA

ISSN:
0021-9606 (print)   1089-7690 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (49)

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  1. See in particular: E. A. Carter, in “Challenges in Theoretical Chemistry,” special issue of Science 321 (5890), 800 (2008)
  2. G. J. Kroes, in “Challenges in Theoretical Chemistry,” special issue of ibid. 321 (5890), 794 (2008).
  3. L. W. Bruch, R. D. Diehl, and J. A. Venables, Rev. Mod. Phys. 79, 1381 (2007).
  4. A. Nilsson and L. G. M. Pettersson, Surf. Sci. Rep. 55, 49 (2004).
  5. U. Diebold, Surf. Sci. Rep. 48, 53 (2003).
  6. It is possible to find in the literature a few number of studies in which one or several layers of water molecules are incorporated to represent the solvent. See, for example, A. Tilocca and A. Selloni, Langmuir 20, 8379 (2004)
  7. A. B. Mukhopadhyay, C. B. Musgrave, and J. Fdez Sanz, J. Am. Chem. Soc. 130, 11996 (2008).
  8. C. J. Cramer and D. G. Truhlar, Chem. Rev. (Washington, D.C.) 99, 2161 (1999).
  9. I. N. Levine, Quantum Chemistry (Prentice-Hall, New Jersey, 2000).
  10. T. Schlick, Molecular Modeling and Simulation (Springer-Verlag, New York, 2002).
  11. J. Tomasi, B. Mennucci, and R. Cammi, Chem. Rev. (Washington, D.C.) 105, 2999 (2005).
  12. F. De Angelis, A. Sgamellotti, M. Cossi, N. Rega, and V. Barone, Chem. Phys. Lett. 328, 302 (2000).
  13. J. -L. Fattebert and F. Gygi, Int. J. Quantum Chem. 93, 139 (2003).
  14. H. M. Senn, P. M. Margi, R. Schmid, T. Ziegler, and P. Blöchl, J. Chem. Phys. 118, 1089 (2003).
  15. D. A. Scherlis, J. -L. Fattebert, F. Gygi, M. Cococcioni, and N. Marzari, J. Chem. Phys. 124, 074103 (2006).
  16. Arias and co-workers devised a form of DFT for the self-consistent embedding of quantum-mechanical systems in a dielectric medium. This approach has been applied to investigate the atomic and electronic structure of the Cr2O3 surface in solution by means of static calculations. See S. A. Petrosyan, A. A. Rigos, and T. A. Arias, J. Phys. Chem. B 109, 15436 (2005)
  17. S. A. Petrosyan, J. -F. Briere, D. Roundy, and T. A. Arias, Phys. Rev. B 75, 205105 (2007).
  18. J. -L. Fattebert and F. Gygi, J. Comput. Chem. 23, 662 (2002).
  19. D. A. Scherlis, J. -L. Fattebert, and N. Marzari, J. Chem. Phys. 124, 194902 (2006).
  20. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran, 2nd ed. (Cambridge University Press, New York, 1992).
  21. W. L. Briggs, V. Emden Henson, and S. F. McCormick, A Multigrid Tutorial, 2nd ed. (SIAM, Philadelphia, 2000).
  22. U. Trottenberg, C. W. Oosterlee, and A. Schüller, Multigrid (Elsevier Academic Press, San Diego, 2001).
  23. T. Hiemstra, P. Venema, and W. H. Van Riemsdijk, J. Colloid Interface Sci. 184, 680 (1996).
  24. J. -P. Jolivet, Metal Oxide Chemistry and Synthesis (Wiley, Chichester, 2000).
  25. S. Baroni, A. Dal Corso, S. de Gironcoli, P. Giannozzi, C. Cavazzoni, G. Ballabio, S. Scandolo, G. Chiarotti, P. Focher, A. Pasquarello, K. Laasonen, A. Trave, R. Car, N. Marzari, and A. Kokalj, http://www.quantum-espresso.org/.
  26. J. P. Perdew, in Electronic Structure of Solids `91, edited by P. Ziesche and H. Eschrig (Akademie-Verlag, Berlin, 1991).
  27. D. Vanderbilt, Phys. Rev. B 41, 7892 (1990).
  28. D. Marx and J. Hutter, in Ab Initio Molecular Dynamics: Theory and Implementation, Modern Methods and Algorithms of Quantum Chemistry, edited by J. Grotendorst (John Von Neumann Institute for Computing, Jülich, 2000).
  29. G. Galli and A. Pasquarello, in Computer Simulation in Chemical Physics, edited by M. P. Allen and D. J. Tildesley (Kluwer-Academic, Dordrecht, The Netherlands, 1993).
  30. M. Cossi, V. Barone, R. Cammi, and J. Tomasi, Chem. Phys. Lett. 255, 327 (1996).
  31. Of course, the mere omission of Vepsilon would not be an acceptable solution in molecular dynamics simulations since the energy conservation will be affected.
  32. The parameter beta is taken greater than 0.5. See Ref. 15.
  33. R. G. Parr and W. Yang, Density-Functional Theory of Atoms and Molecules (Oxford University Press, New York, 1989).
  34. I. Dabo, E. Cancès, Y. Li, and N. Marzari, e-print arXiv:org/abs/0901.0096.
  35. Multigrid methods solve elliptic partial differential equations by applying a classic finite-differences iterative technique in meshes of different sizes (in this case we adopt the Gauss–Seidel scheme). See Ref. 17 for an introduction and Ref. 18 or Ref. 19 for more specialized sources.
  36. The coefficients alphan and betan are given by alpha0=0, alpha1=(3/4), alpha2=−(3/20), alpha3=(1/60), alphan=−alphan, beta0=−(49/18), beta1=(27/18), beta2=−(27/180), beta3=(2/180), and betan=betan.
  37. G. A. Parks, Chem. Rev. (Washington, D.C.) 65, 177 (1965).
  38. A. V. Bandura, D. G. Sykes, V. Shapovalov, T. N. Troung, J. D. Kubicki, and R. A. Evarestov, Langmuir 108, 7844 (2004).
  39. A. Tilocca and A. Selloni, J. Phys. Chem. B 108, 4743 (2004).
  40. M. L. Machesky, M. Pedota, D. J. Wesolowski, L. Vlcek, P. T. Cummings, J. Rosenqvist, M. K. Ridley, J. D. Kubicki, A. V. Bandura, N. Kumar, and J. O. Sofo, Langmuir 24, 12331 (2008).
  41. M. A. Henderson, Surf. Sci. 355, 151 (1996).
  42. R. Schaub, P. Thostrup, N. Lopez, E. Laegsgaard, I. Stensgaard, J. K. Norskov, and F. Besenbacher, Phys. Rev. Lett. 87, 266104 (2001).
  43. G. Li, L. Li, J. Boerio-Goates, and B. F. Woodfield, J. Am. Chem. Soc. 127, 8659 (2005).
  44. A. Vittadini, A. Selloni, F. P. Rotzinger, and M. Grätzel, Phys. Rev. Lett. 81, 2954 (1998).
  45. A. Tilocca and A. Selloni, J. Chem. Phys. 119, 7445 (2003).
  46. P. J. D. Lindan and C. Zhang, Phys. Rev. B 72, 075439 (2005).
  47. M. Předota, A. V. Bandura, P. T. Cummings, J. D. Kubicki, D. J. Wesolowski, A. A. Chialvo, and M. L. Machesky, J. Phys. Chem. B 108, 12049 (2004).
  48. A. Kornherr, D. Vogtenhuber, M. Ruckenbauer, R. Podloucky, and G. Zifferer, J. Chem. Phys. 121, 3722 (2004).
  49. G. M. Torrie and J. P. Valleau, J. Comput. Phys. 23, 187 (1977).
  50. J. K. Badenhoop and F. Weinhold, J. Chem. Phys. 107, 5422 (1997).
  51. C. J. Cramer and D. G. Truhlar, J. Am. Chem. Soc. 113, 8305 (1991).
  52. G. D. Hawkins, C. J. Cramer, and D. G. Truhlar, J. Phys. Chem. B 102, 3257 (1998). See tables included in supporting information.

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