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Interfacial Electron Tunneling

  • John O’M. Bockris
  • Shahed U. M. Khan

Abstract

A complete structure of quantum mechanics materialized in the brief period between 1925 and 1928 with the development of matrix mechanics by Heisenberg in 1925 and wave mechanics by Schrödinger in 1926.1,2 Gamow1–3 in 1928 first put forward the theory of radioactive α particle decay on the basis of quantum mechanics. It was made independently by Ronald Gurney and Condon4 in 1929. The theory of radioactive decay provides one of the more important examples of the application of the idea of tunneling; i. e., it concerns the escape of α particles from a nucleus when the total energy of the particle is less than its potential energy of binding to the nucleus.

Keywords

Fermi Level Work Function Metal Electrode Schrodinger Equation Tunneling Probability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    A. Beiser (ed.), The World of Physics, McGraw-Hill, New York (1960).Google Scholar
  2. 2.
    W. H. Cropper, The Quantum Physicists, and an Introduction to Their Physics, Oxford University Press, London (1970).Google Scholar
  3. 3.
    G. Gamow, Z. Phys. 51, 204 (1928).CrossRefGoogle Scholar
  4. 4.
    R. W. Gurney and E. U. Condon, Phys. Rev. 33, 127 (1929).CrossRefGoogle Scholar
  5. 5.
    R. W. Gurney, Proc. Roy. Soc. A134, 137 (1931).Google Scholar
  6. 6.
    J. A. V. Butler, Proc. Roy. Soc. A125, 423 (1936).Google Scholar
  7. 7.
    R. A. Marcus, J. Chem. Phys. 24, 966 (1956).CrossRefGoogle Scholar
  8. 8.
    R. A. Marcus, J. Chem. Phys. 43, 679 (1965).CrossRefGoogle Scholar
  9. 9.
    S. Gasiorowicz, Quantum Physics, John Wiley and Sons, New York (1974).Google Scholar
  10. 10.
    R. M. Eisberg, Fundamentals of Modern Physics, John Wiley and Sons, New York (1967).Google Scholar
  11. 11.
    D. Park, Introduction to Quantum Theory, McGraw-Hill, New York (1974).Google Scholar
  12. 12.
    E. Merzbacher, Quantum Mechanics, John Wiley and Sons, New York (1970).Google Scholar
  13. 13.
    M. Abramowitz and I. A. Stegun (eds.), Handbook of Mathematical Functions, Dover Publications, New York (1964).Google Scholar
  14. 14.
    C. Eckart, Phys. Rev. 35, 1303 (1930).CrossRefGoogle Scholar
  15. 15.
    B. E. Conway, Can. J. Chem. 37, 178 (1959).CrossRefGoogle Scholar
  16. 16.
    J. O’M. Bockris and D. B. Matthews, J. Chem. Phys. 44, 298 (1966); Proc. Roy. Soc. (London) A297, 479 (1966).CrossRefGoogle Scholar
  17. 17.
    St. G. Christov, Ann. Phys. 15, 87 (1965).CrossRefGoogle Scholar
  18. 18.
    St. G. Christov, J. Res. Inst. Catal. Hokkaido Univ. 16, 169 (1968).Google Scholar
  19. 19.
    St. G. Christov, J. Res. Inst. Catal. Hokkaido Univ. 24, 27 (1976).Google Scholar
  20. 20.
    D. B. Matthews and J. O’M. Bockris, Modern Aspects of Electrochemistry (B. E. Conway and J. O’M. Bockris, eds.), Volume 6, Plenum Press, New York (1971).Google Scholar
  21. 21.
    J. O’M. Bockris and S. Srinivasan, J. Electrochem. Soc. 111, 844, 853, 858 (1964).CrossRefGoogle Scholar
  22. 22.
    P. M. Bowden and E. K. Rideal, Proc. Roy. Soc. (London) A120, 59 (1928).Google Scholar
  23. 23.
    M. Oliphant and P. B. Moon, Proc. Roy. Soc. (London) A127, 388 (1930).Google Scholar
  24. 24.
    D. B. Matthews and S. U. M. Khan, Aust. J. Chem. 28, 253 (1975).CrossRefGoogle Scholar
  25. 25.
    J. O’M. Bockris and M. A. Habib, J. Electroanal. Chem. 68, 367 (1976).CrossRefGoogle Scholar
  26. 26.
    T. E. Stern, B. S. Gossling, and R. H. Fowler, Proc. Roy. Soc. (London) A124, 699 (1929)Google Scholar
  27. R. H. Fowler, Proc. Roy. Soc. (London) A122, 36 (1929).Google Scholar
  28. 27.
    R. H. Fowler and L. Nordheim, Proc. Roy. Soc. (London) A119, 173 (1928)Google Scholar
  29. L. Nordheim, Proc. Roy. Soc. (London) A121, 626 (1928).Google Scholar
  30. 28.
    C. B. Duke and M. E. Alferieff, J. Chem. Phys. 46, 923 (1967).CrossRefGoogle Scholar
  31. 29.
    E. Gileadi, G. Stoner, and J. O’M. Bockris, J. Electrochem. Soc. 113, 585 (1965).CrossRefGoogle Scholar
  32. 30.
    J. O’M. Bockris, B. D. Cahan, and G. Stoner, Chemical Inst. 1, 273 (1969).CrossRefGoogle Scholar
  33. 31.
    J. O’M. Bockris and B. E. Conway, Trans. Faraday Soc. 45, 989 (1949).CrossRefGoogle Scholar
  34. 32.
    J. O’M. Bockris, J. McBreen, and L. Nanis, J. Electrochem. Soc. 113, 637 (1966).CrossRefGoogle Scholar
  35. 33.
    J. W. Gadzuk, Phys. Rev. B (Solid State) 1, 2110 (1970).CrossRefGoogle Scholar
  36. 34.
    J. W. Gadzuk and E. W. Plummer, Revs. Mod. Phys. 45, 487 (1973).CrossRefGoogle Scholar
  37. 35.
    J. W. Schultze and V. K. J. Vetter, Electrochem. Acta 18, 889 (1973).CrossRefGoogle Scholar
  38. 36.
    V. K. J. Vetter and J. W. Schultze, Ber. Bunsenges Phys. Chem. 77, 945 (1973).Google Scholar
  39. 37.
    V. K. J. Vetter and J. W. Schultze, Ber. Bunsenges Phys. Chem. 77, 945 (1973).Google Scholar
  40. 38.
    P. Kohl and J. W. Schultze, Ber. Bunsenges Phys. Chem. 77, 953 (1973).Google Scholar
  41. 39.
    J. W. Schultze and U. Stimming, Z. Phys. Chem. N.F. 98, 285 (1975).CrossRefGoogle Scholar
  42. 40a.
    W. Schmickler and J. Ulstrup, Chem. Phys. 19, 217 (1977).CrossRefGoogle Scholar
  43. 40b.
    W. Memming and H. Möllers, Ber. Bunsen-gesell. 76, 475 (1972).Google Scholar
  44. 41.
    K. Nakamato, Infrared Spectra of Inorganic Coordination Compounds, Wiley (Interscience), New York (1963).Google Scholar
  45. 42.
    J. Nakaguwa and T. Shimanonchi, Spectrochim. Acta 20, 429 (1969).CrossRefGoogle Scholar
  46. 43.
    W. Schmickler, J. Electroanal. Chem. 82, 65 (1977).CrossRefGoogle Scholar
  47. 44.
    W. Schmickler, J. Electroanal. Chem. 83, 387 (1977).CrossRefGoogle Scholar
  48. 45.
    L. D. Landau and E. M. Lifshitz, Quantum Mechanics, p. 24, Pergamon Press, Oxford (1965).Google Scholar
  49. 46.
    T. M. Anderson, Mathematics for Quantum Chemistry, p. 9, W. A. Benjamin, New York (1966).Google Scholar
  50. 47.
    J. O’M. Bockris and A. K. Reddy, Modem Aspects of Electrochemistry, Volume 2, pp. 961–972, Plenum Press, New York (1973).Google Scholar
  51. 48.
    F. Constantinescu and P. Magyari, Problems in Quantum Mechanics, Chapter IV, Pergamon Press, Oxford (1971).Google Scholar
  52. 49.
    D. Rapp, Quantum Mechanics, Holt, Rinehart and Winston, New York (1971).Google Scholar
  53. 50.
    N. Neilson, Handbuch der Theorie der Gammafunction, Teubner, Leipzig (1906).Google Scholar

Copyright information

© Plenum Press, New York 1979

Authors and Affiliations

  • John O’M. Bockris
    • 1
  • Shahed U. M. Khan
    • 2
  1. 1.Texas A & M UniversityCollege StationUSA
  2. 2.University of BonnBonnWest Germany

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