Microscopic Calculation of Retunneling Rates of Hydrogen on Transition Metals

  • W. Hübner
  • W. Brenig
  • H. Kasai
Part of the Springer Series in Surface Sciences book series (SSSUR, volume 4)

Abstract

The motion of desorbing ions can be described by a Schrödinger equation [1]
$$\{ {{p}^{2}}/2m + {{V}_{i}}(x) + iW(x)\} \psi (x,t) = i\dot{\psi }(x,t)$$
(1)
where x is the distance from the surface, Vi(x) the ionic potential and W(x) the retunneling rate. For a given initial condition
$$\psi (x,0) = const \exp {{( - {{x}^{2}}/2\Delta x)}^{2}})$$
this equation determines the energy distribution of desorbing particles containing essentially three parameters,
  1. 1)

    an average energy \(< E > \cong {{V}_{i}}(0)\)

     
  2. 2)

    a width \(\Delta E \cong {{(\partial {{V}_{i}}/\partial x)}_{{x = {{0}^{{\Delta x}}}}}}\)

     
  3. 3)

    a reduction factor \({{P}_{\infty }} \cong \exp ( - 2\smallint < W{{ > }_{t}}dt)\)

     

Keywords

Auger Nite Chemisorption Stim Univer 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • W. Hübner
    • 1
  • W. Brenig
    • 1
  • H. Kasai
    • 1
  1. 1.Physik DepartmentTU MünchenGarching-MünchenFed. Rep. of Germany

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