1986
DOI: 10.1016/0039-6028(86)90210-4
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Matrix element and transition rate for Auger neutralization of low energy ions near metal surfaces

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Cited by 64 publications
(11 citation statements)
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“…Although the influence of the crystal structure on the ion fractions of slow ions scattered from metals have been known for a long time [129,130,131,132,133], rather simple and general models [76,77,134] cannot explain the details of the experimental results. Therefore, a more realistic description of the metal surface is needed to account for observed crystal effects in the Auger rate.…”
Section: Corrugated Surfacementioning
confidence: 75%
See 1 more Smart Citation
“…Although the influence of the crystal structure on the ion fractions of slow ions scattered from metals have been known for a long time [129,130,131,132,133], rather simple and general models [76,77,134] cannot explain the details of the experimental results. Therefore, a more realistic description of the metal surface is needed to account for observed crystal effects in the Auger rate.…”
Section: Corrugated Surfacementioning
confidence: 75%
“…Snowdon et al [76,77] performed one of the first "modern" calculations of the Auger neutralization rate. They used a free-electron model for the metal in which the electron wave functions were that of a simple step-potential surface.…”
Section: Theoretical Modelsmentioning
confidence: 99%
“…These are complex quantum-mechanical scattering calculations, where many approximations are required. Horiguchi et al 27 and Hentschke et al 28 computed Auger rates for a proton-metal system using analytical wave functions for the metal electrons ͑those of a step potential͒. They simplified the eight dimensional k-space integration by taking the contribution of electrons at the Fermi level normal to the surface.…”
Section: Overviewmentioning
confidence: 99%
“…5 In an analogous way, the theoretical work can also be divided into calculations concerning electron emission, [21][22][23][24][25][26] or neutralization rates. [27][28][29][30][31][32][33][34][35] Propst 21 calculated the Auger matrix elements using a WKB approach for the wave function of the captured electron tunneling through the ionsurface barrier. His work qualitatively reproduces the experimental spectra by Hagstrum.…”
Section: Overviewmentioning
confidence: 99%
“…(5) and interchanging the order of the integrations over r and q, we can integrate out the plane-wave factors in the coordinates x and y and use the resulting Dirac 5 functions 5(q"-k"+v") and 5(q -k~+ v ) to perform the q"and q" integrations. As an intermediate step in the evaluation of the matrix element (5), we then obtaiñ J(k;u, i,~;v, D)=(2m')' f dq, FJ(q, )exp( iDq, ) fdz[g"'(z)]'exp[i(q, +u, )z], (25) where the function F (q, ) is defined by FJ(q, } = f (k"', ky', q, }, and (26) k"' = k"u", k ' = k"v (27) and 0 I -(q, )= f dz exp[i(q, -p+ -)z] (28) are the x and y components, respectively, of the momentum of the metal electron relative to the moving ion. exp(ik, z ) in gk ' (z) and from the refiected wave 2 exp(ik, z ), respectively.…”
Section: B Jellium Wave Functionsmentioning
confidence: 99%