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The Fluctuation Method. Past, Present, and Future

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Surface Diffusion

Part of the book series: NATO ASI Series ((NSSB,volume 360))

Abstract

Density fluctuation autocorrelation function methods for determining the chemical diffusion coefficients of adsorbates on surfaces are described and discussed, with emphasis on the field emission method. Advantages and disadvantages are pointed out, and literature references to systems studied by fluctuation methods are provided.

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References

  1. R. Gomer, Diffusion of adsorbates on metal surfaces, Reports on Progress in Physics 53, 917 (1990).

    Article  ADS  Google Scholar 

  2. M. Tringides and R. Gomer, Adsorbate-adsorbate interaction effects in surface diffusion, Surf. Sci. 265, 283 (1992).

    Article  ADS  Google Scholar 

  3. R. Gomer, Field emission, field ionization and field desorption, Surf. Sci. 299/300, 129 (1994).

    Article  ADS  Google Scholar 

  4. R. Gomer, Current fluctuations from small regions of adsorbate covered field emitters, Surf. Sci. 38, 373 (1973).

    Article  ADS  Google Scholar 

  5. G. Mazenko, J.R. Banavar and R. Gomer, Diffusion coefficients and the time autocorrelation function of density fluctuations, Surf. Sci. 107, 459 (1981).

    Article  ADS  Google Scholar 

  6. C. Uebing and R. Gomer, Determination of surface diffusion coefficients by Monte Carlo methods: Comparison of fluctuation and Kubo-Green methods, J. Chem.Phys. 100, 7759 (1994).

    Article  ADS  Google Scholar 

  7. D.R. Bowman, R. Gomer, K. Muttalib and M. Tringides, The determination of diffusion tensors in surface diffusion by the fluctuation method (theory), Surf. Sci. 138, 581 (1984).

    Article  ADS  Google Scholar 

  8. R. Gomer, Field Emission and Field Ionization, Harvard University Press, Cambridge (1961).

    Google Scholar 

  9. R. Gomer and A. Auerbach, The effect of finite resolution on the determination of diffusion coefficients by the field emission fluctuation method, Surf. Sci. 167, 493 (1986).

    Article  ADS  Google Scholar 

  10. J.R. Banavar and R. Gomer, Density fluctuation autocorrelation functions for surface diffusion with various boundary conditions, Surf. Sci. 97, L345 (1980).

    Article  ADS  Google Scholar 

  11. Y. Song and R. Gomer, Diffusion of oxygen on the Mo(110) Plane, Surf. Sci. 290, 1 (1993).

    Article  ADS  Google Scholar 

  12. T. Okano, T. Honda, and Y. Tuzi, Measurement of field emission current fluctuations by digitial autocorrelation of electron counting, Jap. J. Appl Phys. 24, L764 (1985).

    Article  ADS  Google Scholar 

  13. J.E. Whitten and R. Gomer, Surface diffusion measurements by digitized autocorrelation of field emission current fluctuations, Rev. Sci. Instrum. 65, 3707 (1994).

    Article  ADS  Google Scholar 

  14. C. Uebing and R. Gomer, Effect of signal discreteness on correlation functions, J. Appl. Phys. 69, 8 (1990).

    Article  ADS  Google Scholar 

  15. J.-R. Chen and R. Gomer, Mobility of CO on the (110) plane of tungsten, Surf. Sci. 81, 589 (1979).

    Article  ADS  Google Scholar 

  16. R. Gomer, Extensions of the field-emission fluctuation method for the determination of surface diffusion coefficients, Appl. Phys. A39, 1 (1986).

    ADS  Google Scholar 

  17. M. Sumetskii and A.A. Kornyshev, Noise in STM due to atoms moving in the tunneling space, Phys. Rev. B48: 17493 (1993).

    ADS  Google Scholar 

  18. M. Lozano and M. Tringides, Surface diffusion measurements from STM tunneling current fluctuations, Europhys. Lett. 30, 537 (1995).

    Article  ADS  Google Scholar 

  19. C. Uebing and R. Gomer, A Monte Carlo study of surface diffusion coefficients in the presence of adsorbate-adsorbate interactions. I. Repulsive interactions, J. Chem. Phys. 95, 7626 (1991).

    Article  ADS  Google Scholar 

  20. C. Uebing and R. Gomer, Surface diffusion in the presence of phase transitions Monte Carlo studies of a simple lattice gas model, Surf. Sci. 331, 930 (1995).

    Article  ADS  Google Scholar 

  21. J.-R. Chen and R. Gomer, Mobility of oxygen on the (110) plane of tungsten, Surf. Sci. 79, 413 (1979).

    Article  ADS  Google Scholar 

  22. J.-R. Chen and R. Gomer, Mobility and two-dimensional compressibility of Xe on the (110) plane of tungsten, Surf. Sci. 94, 456 (1980).

    Article  ADS  Google Scholar 

  23. R. DiFoggio and R. Gomer, Diffusion of hydrogen and deuterium on the (110) plane of tungsten, Phys. Rev. B25, 3490 (1982).

    ADS  Google Scholar 

  24. T. Okano, Field emission current fluctuations from a (100) vicinal plane of tungsten with adsorbed Xe molecules, Jap. J. App. Phys. 22, 1496 (1983).

    Article  ADS  Google Scholar 

  25. C. Dharmadhikari and R. Gomer, Diffusion of hydrogen and deuterium on the (111) plane of tungsten, Surf. Sci. 143, 223 (1984).

    Article  ADS  Google Scholar 

  26. M. Tringides and R. Gomer, Anisotropy in surface diffusion: Oxygen, hydrogen, and deuterium on the (110) plane of tungsten, Surf. Sci. 155, 254 (1985).

    Article  ADS  Google Scholar 

  27. R. Morin. Diffusion and compressibility of sodium on the (110) plane of tungsten, Surf. Sci. 155, 187 (1985).

    Article  ADS  Google Scholar 

  28. R. Morin. Compared mobilities of Cs and Na on W(110) at low coverage, Surf. Sci. 162, 109 (1985).

    Article  ADS  Google Scholar 

  29. S.C. Wang and R. Gomer, Diffusion of hydrogen, deuterium, and tritium on the (110) plane of tungsten, Surf. Sci. 83, 4193 (1985).

    Google Scholar 

  30. M. Tringides and R. Gomer, Diffusion anisotropy of oxygen and of tungsten on the tungsten (211) plane, J. Chem. Phys. 84, 4049 (1986).

    Article  ADS  Google Scholar 

  31. Y.M. Gong and R. Gomer, Thermal roughening on stepped tungsten surfaces. II. The zone (011)-(001), J. Chem. Phys. 88, 1370 (1988).

    Article  ADS  Google Scholar 

  32. E.A. Daniels, J.C. Lin, and R. Gomer, Diffusion anisotropy of hydrogen and deuterium on the tungsten (211) plane, Surf. Sci. 204, 129 (1988).

    Article  ADS  Google Scholar 

  33. D.-S. Choi and R. Gomer, Diffusion of W on a W(211) plane, Surf. Sci. 230, 277 (1990).

    Article  ADS  Google Scholar 

  34. T.S. Lin, H.-J. Lu, and R. Gomer, Diffusion of CO on Ni(111) and Ni(115), Surf. Sci. 234, 251 (1990).

    Article  ADS  Google Scholar 

  35. D.-S. Choi, S.K. Kim, and R. Gomer, Diffusion of tungsten on stepped tungsten surfaces, Surf. Sci. 234, 262 (1990).

    Article  ADS  Google Scholar 

  36. T.-S. Lin and R. Gomer, Diffusion of 1H and 2H on the Ni(111) and (100) Planes, Surf. Sci. 255, 41 (1991).

    Article  ADS  Google Scholar 

  37. D.-S. Choi, C. Uebing and R. Gomer, Diffusion of hydrogen and deuterium on stepped tungsten surfaces. I. W(123), Surf. Sci. 259, 139 (1991).

    Article  ADS  Google Scholar 

  38. C. Uebing and R. Gomer, Diffusion of hydrogen and deuterium on stepped tungsten surfaces. II. W(023), Surf. Sci. 259, 151 (1991).

    Article  ADS  Google Scholar 

  39. T. Honda and T. Okano, Anisotropy in surface diffusion of Ga atoms on a Ge(001) plane at the apex of a field emission tip, App. Surf. Sci. 60/61, 260 (1992).

    Article  ADS  Google Scholar 

  40. Y. Song and R. Gomer, Diffusion of CO on the Mo(110) plane, Surf. Sci. 295, 174 (1993).

    Article  ADS  Google Scholar 

  41. E.A. Daniels and R. Gomer, Diffusion of 1H and 2H on W(001), Surf. Sci. 336, 245 (1995).

    Article  ADS  Google Scholar 

  42. Y. Song and R. Gomer, Diffusion of Oxygen on the Re(2021) Plane, Surf Sci. 346, 243 (1996).

    Article  ADS  Google Scholar 

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Gomer, R. (1997). The Fluctuation Method. Past, Present, and Future. In: Tringides, M.C. (eds) Surface Diffusion. NATO ASI Series, vol 360. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0262-7_38

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  • DOI: https://doi.org/10.1007/978-1-4899-0262-7_38

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-0264-1

  • Online ISBN: 978-1-4899-0262-7

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