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Effects of Orbital Overlap on Calculations of Charge Exchange in Atom-Surface Scattering

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Fundamental World of Quantum Chemistry

Abstract

Calculations of ionization (or neutralization) probabilities when an atom (or ion) is scattered off a solid surface usually neglect the nonorthogonality of the valence orbitals on the atom (or ion) and the atoms in the solid. In order to investigate the validity of this, the more complicated equations, which arise when orbital overlap is included, are derived. They are used to determine how far the probabilities change from their values when overlap is ignored. It is found that there can be a significant change which suggests that it is advisable, where possible, to take explicit account of the non-orthogonality in the calculation of ionization (or neutralization) probabilitiies.

Also an Adjunct Professor in the Applied Mathematics Department of the University of Waterloo.

Also with the Physics Department at the Guelph-Waterloo Institute of Physics at the University of Waterloo.

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References

  1. A. T. Amos, K. W. Sulston and S. G. Davison, Adv. Chem. Phys. 76, 335 (1989)

    Article  CAS  Google Scholar 

  2. R. Brako and D. M. Newns, Rep. Prog. Phys. 52, 655 (1989)

    Article  CAS  Google Scholar 

  3. A. Nourtier, in Electronic Processes at Solid Surfaces, ed. E. Ilisca and H. Makoshi, p 85 ( World Scientific, Singapore ), 1996.

    Chapter  Google Scholar 

  4. S. G. Davison, Z. L. Miskovic, A. T. Amos, B. L. Burrows, F. O. Goodman and K. W. Sulston, in Electronic Processes at Solid Surfaces, ed. E. Ilisca and H. Makoshi, p 107 ( World Scientific, Singapore ), 1996.

    Chapter  Google Scholar 

  5. J. J. C. Geerlings and J. Los, Phys. Letters A102, 204 (1984)

    Article  Google Scholar 

  6. E. G. Overbosch and J. Los, Surf. Sci. 108, 99, 117 (1981)

    Article  CAS  Google Scholar 

  7. D. M. Newns, K. Makoshi, R. Brako and J. N. M. van Wunnik, Physica Scripta, T6, 5 (1983)

    Article  Google Scholar 

  8. A. Yoshimori and K. Makoshi, Prog. Surf. Sci. 21, 251 (1986)

    Article  CAS  Google Scholar 

  9. A. Modinos, Prog. Surf. Sci. 26, 19 (1987)

    Article  CAS  Google Scholar 

  10. H. D. Hagstrum, Phys. Rev. 96, 325, 336 (1954); 122, 83 (1961)

    Article  CAS  Google Scholar 

  11. R. S. Mulliken, J. Chim. phys. 46, 497, 675 (1949)

    CAS  Google Scholar 

  12. M Wolfsberg and L. Helmholtz, J. Chem. Phys. 20, 837 (1952)

    Article  CAS  Google Scholar 

  13. K. W. Sulston and S. G. Davison, Phys. Rev, B 67, 195–326 (2003)

    Article  Google Scholar 

  14. P.-O. Löwdin, J. Chem. Phys. 18, 365 (1950)

    Article  Google Scholar 

  15. P.-O. Löwdin, J. Chem. Phys. 19, 1579 (1951)

    Article  Google Scholar 

  16. P.-O. Löwdin, Adv. Quant. Chem. 5, 185 (1970)

    Article  Google Scholar 

  17. P.-O. Löwdin, Int. J. Quant. Chem. 48, 225 (1993)

    Article  Google Scholar 

  18. P.-O. Löwdin, J. Chem. Phys. 19, 1396 (1951)

    Article  Google Scholar 

  19. P.-O. Löwdin, J. Math. Phys. 3, 969 (1962)

    Article  Google Scholar 

  20. P.-O. Löwdin, J. Molec. Spectros. 10, 12 (1963)

    Article  Google Scholar 

  21. P.-O. Löwdin, Phys. Rev. A139, 357 (1965)

    Article  Google Scholar 

  22. S.G. Davison, K. W. Sulston and A. T. Amos, J. Elecroanal. Chem. 204, 173 (1986)

    Article  CAS  Google Scholar 

  23. K. W. Sulston, A. T. Amos and S. G. Davison, Surf. Sci. 197, 555 (1988)

    Article  CAS  Google Scholar 

  24. N. Rosen and C. Zener, Phys. Rev. 40, 502 (1932)

    Article  CAS  Google Scholar 

  25. A. T. Amos, S. G. Davison and K. W. Sulston, Phys. Letters A118, 471 (1986)

    Article  Google Scholar 

  26. E. J. Robinson, J. Phys: Condens. Matter 5, 13 (1993)

    Article  Google Scholar 

  27. A. Blandin, A. Nourtier and D. W. Hone, J. de Phys. 37, 369 (1976)

    Article  Google Scholar 

  28. W. Bloss and D. Hone, Syrf. Sci. 72, 277 (1978)

    Article  CAS  Google Scholar 

  29. R. Brako and D. M. Newns, Surf. Sci. 108, 253 (1981)

    Article  CAS  Google Scholar 

  30. S. Tsuneyuki, N. Shima and M. Tsukada, Surf. Sci. 186, 26 (1987)

    Article  CAS  Google Scholar 

  31. B. L. Burrows and A. T. Amos, Phys. Rev. B 49, 5182 (1994)

    Article  CAS  Google Scholar 

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Amos, A.T., Burrows, B.L., Davison, S.G. (2004). Effects of Orbital Overlap on Calculations of Charge Exchange in Atom-Surface Scattering. In: Brändas, E.J., Kryachko, E.S. (eds) Fundamental World of Quantum Chemistry. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0448-9_15

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  • DOI: https://doi.org/10.1007/978-94-017-0448-9_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6687-9

  • Online ISBN: 978-94-017-0448-9

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