Skip to main content

Cluster Calculations for Diffusion on and in Transition Metals

  • Chapter
Physics and Chemistry of Small Clusters

Abstract

Local Density calculations have been performed, using a Gaussian representation of the wave function and a model potential for the core electrons, for clusters representing a hydrogen atom diffusing through palladium and rhodium and for a CO molecule diffusing over Pd(100).

For the Pd(111) + H system, represented by a ten-atom cluster, the relative energies of the various H-atom sites are correctly given and the calculated diffusion barier (0.32eV) is in encouraging agreement with its experimental counterpart (0.23eV). For rhodium the calculated barrier is much greater (0.91eV). Calculations for rhodium at the palladium lattice spacing (about 2% greater) yield 0.71eV so that the increase relative to palladium is roughly one-third structural and two-thirds electronic.

Several cluster models, containing up to 17 atoms, have been chosen to model the atop (A), bridge (B) and 4-fold centered (C) sites for CO adsorption on Pd(100). The B site is correctly found to be the most stable, followed closely (within — 0.15eV) by C, A being significantly higher (~1.0eV). The molecule stands perpendicular to the surface at all three sites; however, along a diffusion path between B and C it tilts by as much as ~ 20°, showing a tendency for the carbon to point back towards the bridge site. The barrier for diffusion is calculated to be about 0.35eV, a reasonable value.

These “dynamic” results complement previous results on the equilibrium properties (geometries, ionization potentials, vibrational frequencies, nature of the bonding) and further help to delimit the domain of the method.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.C. Tully, Ann. Rev. Phys. Chenu, 31, 319 (1980);

    Article  ADS  Google Scholar 

  2. D.C. Clary and A.E. DePristo, J. Chem. Phys., 81, 5164 (1984).

    ADS  Google Scholar 

  3. J.-H. Lim and B.J. Garrison, J. Chem. Phys., 80, 2904 (1984);

    Article  ADS  Google Scholar 

  4. C.-Y. Lee and A.E. DePristo; J. Chem. Phys., 84, 485 (1986);

    Article  ADS  Google Scholar 

  5. J.G. Lauderdale and D.G. Truhlar, J. Chem. Phys., 84, 1843 (1986).

    Article  ADS  Google Scholar 

  6. D.R. Salahub “Applied Quantum Chemistry” V.H. Smith, K. Morokuma and H.F. Schaefer III eds., Reidel, Dordrecht (1986) p.185 and references therein.

    Google Scholar 

  7. J. Andzelm and D.R. Salahub, Intern. J. Quantum Chem., 29, 1091 (1986).

    Article  Google Scholar 

  8. N.A. Baykara, J. Andzelm, D.R. Salahub and S.Z. Baykara, Intern. J. Quantum Chem., 29, 1025 (1986).

    Article  Google Scholar 

  9. A.D. Becke, J. Chem. Phys., 84, 4524 (1986).

    Article  ADS  Google Scholar 

  10. D. R. Salahub, Adv. Chem. Phys., 69, (1987), in press, and references therein.

    Google Scholar 

  11. D. C. Langreth and M.J. Mehl, Phys. Rev., B28, 1809 (1983).

    ADS  Google Scholar 

  12. A. G. Noumouets and Y.S. Vedula, Surface Sci. Rept. 4, 365 (1985).

    Article  ADS  Google Scholar 

  13. R. Lewis and R. Gomer, Surface Sci. 17, 333 (1969).

    Article  ADS  Google Scholar 

  14. M. Tringides and R. Gomer, Surface Sci. 155, 254 (1985).

    Article  ADS  Google Scholar 

  15. J.R. Chen and R. Gomer, Surface Sci. 81, 589 (1979).

    Article  ADS  Google Scholar 

  16. R. Viswanathan, D.R. Burgess Jr., P.C. Stair and E. Weitz, J. Vac. Sci. Technol 20, 605 (1982).

    Article  ADS  Google Scholar 

  17. S.M. George, A.M. DeSantolo and R.’B. Hall, Surface Sci. 159, L425 (1985).

    Article  Google Scholar 

  18. C.H. Mak, J.L. Brand, A.A. Deckert and S.M. George, J. Chem. Phys. 85, 1676 (1986).

    Article  ADS  Google Scholar 

  19. T.E. Madey, J. Vac. Sci. Technol. A4, 257 (1986).

    ADS  Google Scholar 

  20. S.L. Tang, M.B. Lee, Q. Y. Yang, J.D. Beckerle and S.T. Ceyer, J. Chem. Phys. 84, 1876 (1986).

    Article  ADS  Google Scholar 

  21. T.H. Upton and W.A. Goddard III, Phys. Rev. Lett., 42, 472 (1979); and

    Article  ADS  Google Scholar 

  22. T.H. Upton and W.A. Goddard III Phys. Rev. Lett. in “Chemistry and Physics of Solid Surfaces”, Vol III, R. Vanselow and W. England, eds. (CRC Press, Boca Raton, 1982).

    Google Scholar 

  23. D. Post and E.J. Baerends, J. Chem. Phys., 78, 5663 (1983).

    Article  ADS  Google Scholar 

  24. P.-L. Cao, D.E. Ellis, A.J. Freeman, Q.-Q. Zheng and S.D. Bader, Phys. Rev., B30, 4146 (1984).

    ADS  Google Scholar 

  25. B.N.J. Persson and J. E. Müller, Surface Sci., 171, 219 (1986).

    Article  ADS  Google Scholar 

  26. J.P. Dahl and J. Avery, eds, “Local Approximations in Quantum Chemistry and Solid State Physics”, Plenum, New York, 1984.

    Google Scholar 

  27. J. Andzelm, E. Radzio and D.R. Salahub, J. Chem. Phys., 83, 4573 (1985).

    Article  ADS  Google Scholar 

  28. C.W. Bauschlicher Jr., J. Chem. Phys., 84, 250 (1986);

    Article  ADS  Google Scholar 

  29. C.W. Bauschlicher Jr. J. Chem. Phys. Lett., 129, 586 (1986).

    Article  ADS  Google Scholar 

  30. W. Ravenek and F.M.M. Geurts, J.Chem. Phys., 84, 1613 (1986).

    Article  ADS  Google Scholar 

  31. J. Andzelm and D.R. Salahub to be published.

    Google Scholar 

  32. G.D. Kubiak and R.H. Stulen, J. Vac. Sci Technol. A4, 1427 (1986).

    ADS  Google Scholar 

  33. S.M. Foiles and M.S. Daw, J. Vac. Sci. Technol. A3, 1565 (1985).

    ADS  Google Scholar 

  34. J. Andzelm, N.A. Baykara, S.Z. Baykara and D.R. Salahub, unpublished

    Google Scholar 

  35. S. Ishi, Y. Ohno and B. Viswanathan, Surface Sci. 161, 349 (1985).

    Article  ADS  Google Scholar 

  36. E. Shustorovich, Surface Sci. Rept. 6, 1 (1986).

    Article  ADS  Google Scholar 

  37. D.A. Mullins, B.Roop and J.M. White, Chem. Phys. Lett., 129, 511 (1986).

    Article  ADS  Google Scholar 

  38. G. Doyen and G. Ertl, Surface Sci. 69, 157 (1977).

    Article  ADS  Google Scholar 

  39. A. Gavezzotti, G.F. Tantardini and M. Simonetta, Chem. Phys. 105, 333 (1980).

    Article  Google Scholar 

  40. R.J. Behm, K. Christmann, G. Ertl and M.A. VanHove, J. Chem. Phys., 72, 2989 (1986).

    Google Scholar 

  41. A. Ortega, F.M. Hoffmann, A.M. Bradshaw, Surface Sci., 119, 79 (1982).

    Article  ADS  Google Scholar 

  42. A. Brown, J.C. Vickerman, Surface Sci., 151, 319 (1985).

    Article  ADS  Google Scholar 

  43. P. Gelin, J.T. Yates Jr., Surface Sci., 136, L1 (1984).

    Article  ADS  Google Scholar 

  44. R. Car and M. Parrinello, Phys. Rev. Lett., 55, 2471 (1985).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Plenum Press, New York

About this chapter

Cite this chapter

Andzelm, J., Salahub, D. (1987). Cluster Calculations for Diffusion on and in Transition Metals. In: Jena, P., Rao, B.K., Khanna, S.N. (eds) Physics and Chemistry of Small Clusters. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0357-3_116

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-0357-3_116

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-0359-7

  • Online ISBN: 978-1-4757-0357-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics