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Applications of Computer Simulations and Statistical Mechanics in Surface Electrochemistry

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Part of the book series: Modern Aspects of Electrochemistry ((MAOE,volume 44))

Summary

We present a brief survey of methods that utilize computer simulations and quantum and statistical mechanics in the analysis of electrochemical systems. The methods, molecular dynamics and Monte Carlo simulations and quantum-mechanical density-functional theory, are illustrated with examples from simulations of lithium-battery charging and electrochemical adsorption of bromine on single-crystal silver electrodes.

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References

  1. D. M. Kolb, Surf. Sci. 500, 722 (2002).

    Article  CAS  Google Scholar 

  2. T. Tansel and O. M. Magnussen, Phys. Rev. Lett. 96, 026101 (2006).

    Article  CAS  Google Scholar 

  3. P. Vashishta, R. K. Kalia, and A. Nakano, J. Phys. Chem. B 110, 3727 (2006).

    Article  CAS  Google Scholar 

  4. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon Press, Oxford, 1992).

    Google Scholar 

  5. J. M. Haile, Molecular Dynamics Simulation, Elementary Methods (Wiley, New York, 1992).

    Google Scholar 

  6. D. C. Rapaport, The Art of Molecular Dynamics Simulation, 2nd ed. (Cambridge University Press, Cambridge, 2004).

    Google Scholar 

  7. A. F. Voter, Phys. Rev. Lett. 78, 3908 (1997).

    Article  CAS  Google Scholar 

  8. A. F. Voter, J. Chem. Phys. 106, 4665 (1997).

    Article  CAS  Google Scholar 

  9. J. Wang, R. Wolf, J. Caldwell, P. Kollman, and D. Case, J. Comp. Chem. 25, 1157 (2004).

    Article  CAS  Google Scholar 

  10. J. C. Phillips, R. Braun, W. Wang, J. Gumbart, E. Tajkhorshid, E. Villa, C. Chipot, R. D. Skeel, L. Kalé, and K. Schulten, J. Comp. Chem. 26, 1781 (2005).

    Article  CAS  Google Scholar 

  11. A. D. W. Humphrey and K. Schulten, J. Mol. Graphics 14, 33 (1996).

    Article  CAS  Google Scholar 

  12. G. J. Martyna, D. J. Tobias, and M. L. Klein, J. Chem. Phys. 101, 4177 (1994).

    Article  CAS  Google Scholar 

  13. S. E. Feller, Y. Zhang, R. W. Pastor, and B. R. Brooks, J. Chem. Phys. 103, 4613 (1995).

    Article  CAS  Google Scholar 

  14. S. J. Mitchell, S. Wang, and P. A. Rikvold, Faraday Discuss. 121, 53 (2002).

    Article  CAS  Google Scholar 

  15. D. Huckaby and L. Blum, J. Chem. Phys. 92, 2646 (1990).

    Article  CAS  Google Scholar 

  16. L. Blum and D. A. Huckaby, J. Electroanal. Chem. 375, 69 (1994).

    Article  CAS  Google Scholar 

  17. L. Blum, D. A. Huckaby, and M. Legault, Electrochim. Acta 41, 2207 (1996).

    Article  CAS  Google Scholar 

  18. M. Gamboa-Aldeco, P. Mrozek, C. K. Rhee, A. Wieckowski, P. A. Rikvold, and Q. Wang, Surf. Sci. Lett. 297, L135 (1993).

    Article  CAS  Google Scholar 

  19. P. A. Rikvold, M. Gamboa-Aldeco, J. Zhang, M. Han, Q. Wang, H. L. Richards, and A. Wieckowski, Surf. Sci. 335, 389 (1995).

    Article  CAS  Google Scholar 

  20. J. Zhang, Y.-S. Sung, P. A. Rikvold, and A. Wieckowski, J. Chem. Phys. 104, 5699 (1996).

    Article  CAS  Google Scholar 

  21. T. L. Einstein, Langmuir 7, 2520 (1991).

    Article  CAS  Google Scholar 

  22. P. Hyldgaard and T. L. Einstein, J. Cryst. Growth 275, e1637 (2005).

    Article  CAS  Google Scholar 

  23. T. J. Stasevich, T. L. Einstein, and S. Stolbov, Phys. Rev. B 73, 115426 (2006).

    Article  Google Scholar 

  24. P. A. Rikvold, J. B. Collins, G. D. Hansen, and J. D. Gunton, Surf. Sci. 203, 500 (1988).

    Article  CAS  Google Scholar 

  25. J. B. Collins, P. Sacramento, P. A. Rikvold, and J. D. Gunton, Surf. Sci. 221, 277 (1989).

    Article  CAS  Google Scholar 

  26. W. Schmickler, Interfacial Electrochemistry (Oxford University Press, New York, 1996).

    Google Scholar 

  27. K. J. Vetter and J. W. Schultze, Ber. Bunsenges. Phys. Chem. 76, 920 (1972).

    CAS  Google Scholar 

  28. K. J. Vetter and J. W. Schultze, Ber. Bunsenges. Phys. Chem. 76, 927 (1972).

    CAS  Google Scholar 

  29. P. A. Rikvold, Th. Wandlowski, I. Abou Hamad, S. J. Mitchell, and G. Brown, Electrochim. Acta 52, 1932 (2007).

    Article  CAS  Google Scholar 

  30. I. Abou Hamad, S. J. Mitchell, Th. Wandlowski, P. A. Rikvold, and G. Brown, Electrochim. Acta 50, 5518 (2005).

    Article  CAS  Google Scholar 

  31. M. T. M. Koper, J. Electroanal. Chem. 450, 189 (1998).

    Article  CAS  Google Scholar 

  32. J. N. Glosli and M. R. Philpott, in Microscopic Models of Electrode-Electrolyte Interfaces; Electrochem. Soc. Conf. Proc. Ser. 93-5, edited by J. W. Halley and L. Blum (The Electrochemical Society, Pennington, 1993), pp. 80–89.

    Google Scholar 

  33. J. N. Glosli and M. R. Philpott, in Microscopic Models of Electrode-Electrolyte Interfaces; Electrochem. Soc. Conf. Proc. Ser. 93-5, edited by J. W. Halley and L. Blum (The Electrochemical Society, Pennington, 1993), pp. 90–105.

    Google Scholar 

  34. L. Blum, Adv. Chem. Phys. 78, 171 (1990).

    Article  CAS  Google Scholar 

  35. A. Ignaczak, J. A. N. F. Gomes, and S. Romanowski, J. Electroanal. Chem. 450, 175 (1998).

    Article  CAS  Google Scholar 

  36. G. Brown, P. A. Rikvold, S. J. Mitchell, and M. A. Novotny, in Interfacial Electrochemistry: Theory, Experiment, and Application, edited by A. Wieckowski (Marcel Dekker, New York, 1999), pp. 47–61.

    Google Scholar 

  37. S. J. Mitchell, G. Brown, and P. A. Rikvold, J. Electroanal. Chem. 493, 68 (2000).

    Article  CAS  Google Scholar 

  38. S. J. Mitchell, G. Brown, and P. A. Rikvold, Surf. Sci. 471, 125 (2001).

    Article  CAS  Google Scholar 

  39. I. Abou Hamad, Th. Wandlowski, G. Brown, and P. A. Rikvold, J. Electroanal. Chem. 554–555, 211 (2003).

    Article  Google Scholar 

  40. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).

    Article  Google Scholar 

  41. W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965).

    Article  Google Scholar 

  42. I. Abou Hamad, P. A. Rikvold, and G. Brown, Surf. Sci. 572, L355 (2004).

    Article  CAS  Google Scholar 

  43. G. Kresse and J. Hafner, Phys. Rev. B 47, 558 (1993).

    Article  CAS  Google Scholar 

  44. G. Kresse and J. Furthmüller, Phys. Rev. B 54, 11169 (1996).

    Article  CAS  Google Scholar 

  45. G. Kresse and J. Furthmüller, Comput. Mater. Sci. 6, 15 (1996).

    Article  CAS  Google Scholar 

  46. J. P. Perdew and Y. Wang, Phys. Rev. B 45, 13244 (1992).

    Article  Google Scholar 

  47. J. P. Perdew, J. A. Chevary, S. A. Vosko, K. A. Jackson, M. R. Pederson, D. J. Singh, and C. Fiolhais, Phys. Rev. B 46, 6671 (1992).

    Article  CAS  Google Scholar 

  48. D. Vanderbilt, Phys. Rev. B 41, 7892 (1990).

    Article  Google Scholar 

  49. H. J. Monkhorst and J. D. Pack, Phys. Rev. B 13, 5188 (1976).

    Article  Google Scholar 

  50. S. J. Mitchell and M. T. M. Koper, Surf. Sci. 563, 169 (2004).

    Article  CAS  Google Scholar 

  51. W. Kohn and K.-H. Lau, Solid State Commun. 18, 553 (1976).

    Article  CAS  Google Scholar 

  52. T. Juwono and P. A. Rikvold, unpublished.

    Google Scholar 

  53. D. P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics, 2nd Ed. (Cambridge University Press, Cambridge, 2005).

    Google Scholar 

  54. S. Wang, S. J. Mitchell, and P. A. Rikvold, Comp. Mater. Sci. 29, 145 (2004).

    Article  CAS  Google Scholar 

  55. P. A. Rikvold and M. Kolesik, J. Phys. A 35, L117 (2002).

    Article  Google Scholar 

  56. P. A. Rikvold and M. Kolesik, Phys. Rev. E 66, 066116 (2002).

    Article  Google Scholar 

  57. P. A. Rikvold and M. Kolesik, Phys. Rev. E 67, 066113 (2003).

    Article  Google Scholar 

  58. K. Park, P. A. Rikvold, G. M. Buendía, and M. A. Novotny, Phys. Rev. Lett. 92, 015701 (2004).

    Article  Google Scholar 

  59. G. M. Buendía, P. A. Rikvold, K. Park, and M. A. Novotny, J. Chem. Phys. 121, 4193 (2004).

    Article  Google Scholar 

  60. G. M. Buendía, P. A. Rikvold, and M. Kolesik, Phys. Rev. B 73, 045437 (2006).

    Article  Google Scholar 

  61. G. M. Buendía, P. A. Rikvold, and M. Kolesik, J. Mol. Struct.: THEOCHEM 769, 207 (2006).

    Google Scholar 

  62. G. M. Buendía, P. A. Rikvold, M. Kolesik, K. Park, and M. A. Novotny, Phys. Rev. B 76, 045422 (2007).

    Article  Google Scholar 

  63. S. Wang, Y. Cao, and P. A. Rikvold, Phys. Rev. B 70, 205410 (2004).

    Article  Google Scholar 

  64. A. Ignaczak and J. A. N. F. Gomes, J. Electroanal. Chem. 420, 71 (1997).

    Article  CAS  Google Scholar 

  65. S. Wang and P. A. Rikvold, Phys. Rev. B 65, 155406 (2002).

    Article  Google Scholar 

  66. A. Bogicevic, S. Ovesson, P. Hyldgaard, B. I. Lundquist, H. Brune, and D. R. Jennison, Phys. Rev. Lett. 85, 1910 (2000).

    Article  CAS  Google Scholar 

  67. H. C. Kang and W. H. Weinberg, J. Chem. Phys. 90, 2824 (1989).

    Article  CAS  Google Scholar 

  68. K. A. Fichthorn and W. H. Weinberg, J. Chem. Phys. 95, 1090 (1991).

    Article  CAS  Google Scholar 

  69. A. B. Bortz, M. H. Kalos, and J. L. Lebowitz, J. Comput. Phys. 17, 10 (1975).

    Article  Google Scholar 

  70. G. H. Gilmer, J. Cryst. Growth 35, 15 (1976).

    Article  Google Scholar 

  71. S. Frank and P. A. Rikvold, Surf. Sci. 600, 2470 (2006).

    Article  CAS  Google Scholar 

  72. R. J. Gelten, A. P. J. Jansen, R. A. van Santen, J. J. Lukkien, J. P. L. Segers, and P. A. J. Hilbers, J. Chem. Phys. 108, 5921 (1998).

    Article  CAS  Google Scholar 

  73. J. J. Lukkien, J. P. L. Segers, P. A. J. Hilbers, R. J. Gelten, and A. P. J. Jansen, Phys. Rev. E 58, 2598 (1998).

    Article  CAS  Google Scholar 

  74. M. T. M. Koper, A. P. J. Jansen, R. A. van Santen, J. J. Lukkien, and P. A. J. Hilbers, J. Chem. Phys. 109, 6051 (1998).

    Article  CAS  Google Scholar 

  75. F. Nieto, C. Uebing, V. Pereyra, and R. J. Faccio, Vacuum 54, 119 (1999).

    Article  CAS  Google Scholar 

  76. M. A. Novotny, in Annual Reviews of Computational Physics IX, edited by D. Stauffer (World Scientific, Singapore, 2001), pp. 153–210.

    Google Scholar 

  77. T. Ala-Nissila, R. Ferrando, and S. C. Ying, Adv. Phys. 51, 949 (2002).

    Article  CAS  Google Scholar 

  78. I. D. Mayergoyz, IEEE Trans. Magn. 22, 603 (1986).

    Article  Google Scholar 

  79. C. R. Pike, A. P. Roberts, and K. L. Verosub, J. Appl. Phys. 85, 6660 (1999).

    Article  CAS  Google Scholar 

  80. C. R. Pike, Phys. Rev. B 68, 104424 (2003).

    Article  Google Scholar 

  81. D. T. Robb, M. A. Novotny, and P. A. Rikvold, J. Appl. Phys. 97, 10E510 (2005).

    Article  Google Scholar 

  82. I. Abou Hamad, D. T. Robb, and P. A. Rikvold, J. Electroanal. Chem. 607, 61 (2007).

    Article  CAS  Google Scholar 

  83. I. Abou Hamad, D. T. Robb, M. A. Novotny, and P. A. Rikvold, ECS Trans. 6 (19), 53 (2008).

    Article  CAS  Google Scholar 

  84. S. Fletcher, C. S. Halliday, D. Gates, M. Westcott, T. Lwin, and G. Nelson, J. Electroanal. Chem. 159, 267 (1983).

    Article  CAS  Google Scholar 

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Acknowledgements

This work was supported by US National Science Foundation grants no. DMR-0240078 and DMR-0802288 (Florida State University) and DMR-0509104 (Clarkson University) and by ABSL Power Solutions, award no. W15P7T06CP408.

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Rikvold, P.A., Hamad, I.A., Juwono, T., Robb, D.T., Novotny, M.A. (2009). Applications of Computer Simulations and Statistical Mechanics in Surface Electrochemistry. In: Schlesinger, M. (eds) Modern Aspects of Electrochemistry No. 44. Modern Aspects of Electrochemistry, vol 44. Springer, New York, NY. https://doi.org/10.1007/978-0-387-49586-6_4

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