Theory Concerning the Interaction of an Alkali Atom and a Metallic Surface

Remy, M.

doi:10.1063/1.1674351

Cited by 94 publications

(13 citation statements)

References 11 publications

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“…(A2) we ob- (22) x fi(q) . (24) This shows that the relative phase between the value of (v, ) the function gk ' (z) at any point in the range z &0 and 2 its value at any point in the range z )0 can acquire only the values 0 or +m. .…”

Section: B Jellium Wave Functionsmentioning

confidence: 90%

One-electron matrix elements in the theory of ion–metal-surface scattering

Wille

1992

Phys. Rev. A

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A systematic evaluation of one-electron matrix elements appearing in the theory of charge-exchange processes in ionmetal-surface scattering is presented. The conduction-band electrons are described by jellium-type wave functions, while hydrogenic wave functions are employed for the electronic states of the ion. By applying Fourier-transform methods and complex integration techniques, exact closed-form expressions for overlap and Coulomb matrix elements are derived for arbitrary hydrogenic quantum numbers, momenta of the conduction-band electrons, and distances of the ion from the surface. The general case of arbitrary energy difference between initial and final state {including the strictly resonant case) is treated. For the near-resonant case, an expansion of the matrix elements about the resonant limit is derived. The effect of the motion of the ion is taken into account by including electronic translational factors. The actual computation of the matrix elements involves multiple summations, which can be accurately performed even for high-lying ionic Rydberg states. Structural properties of the matrix elements are revealed by studying, for typical cases, their dependence on the various parameters. Possible applications of our method are indicated.PACS number(s): 79.20. Rf, 79.80.+w

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Section: B Jellium Wave Functionsmentioning

confidence: 90%

One-electron matrix elements in the theory of ion–metal-surface scattering

Wille

1992

Phys. Rev. A

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“…Furthermore, the exponentially decaying W(Z) provides a reliable description only for the long-range behavior. A more rigorous calculation of W(Z) ͑for atom-metal systems͒ [41][42][43] resulted in a nonexponential dependence on distance. Near the surface (ZХ1 -3 Å)W(Z) behaved clearly nonexponentially, and was found to have a maximum value of ϳ10 16 sec Ϫ1 ͑the same as obtained here͒, but for longer distances (Zу3 -4 Å) the rate could be presented as A exp(Ϫ2␥Z) with an effective ͑although physically nonreal-istic͒ pre-exponential value AХ(3 -4)ϫ10 18 sec Ϫ1 .…”

Section: Fig 3 Energy Distributions (E S ) Of Scattered C 60 0 ͑Fulmentioning

confidence: 99%

“…Near the surface (ZХ1 -3 Å)W(Z) behaved clearly nonexponentially, and was found to have a maximum value of ϳ10 16 sec Ϫ1 ͑the same as obtained here͒, but for longer distances (Zу3 -4 Å) the rate could be presented as A exp(Ϫ2␥Z) with an effective ͑although physically nonreal-istic͒ pre-exponential value AХ(3 -4)ϫ10 18 sec Ϫ1 . [41][42][43] Therefore we choose to use A value in this range. In the Appendix we present an approximate calculation of W(Z) including image charge potential ͑using the WKB method͒.…”

Section: Fig 3 Energy Distributions (E S ) Of Scattered C 60 0 ͑Fulmentioning

confidence: 99%

Relative yield ofC60−in hyperthermal surface scattering of neutralC
Bekkerman
¹
,
Tsipinyuk
²
,
Kolodney
³

2000
Phys. Rev. B
21
0
2
0
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The yield of C 60Ϫ negative ions following scattering of neutral C 60 molecules from a graphitized ͑monolayer-covered͒ nickel surface was measured under near-normal-incidence conditions as a function of the hyperthermal impact energy. An increase of two orders of magnitude was observed for the impact energy range of 4-42 eV. Energy and angle distributions of both scattered ions C 60 Ϫ and neutrals C 60 0 were also measured and compared for this impact energy range. We show that the C 60 Ϫ yield obeys an exponential dependence on the inverse of the outgoing normal velocity component similar to that observed before for charge exchange in atom-surface collisions. This dependence is demonstrated here for the very low normal velocity range of (0.33-1.25)ϫ10 5 cm sec Ϫ1 . We have analyzed the experimental results using simple models for the negative ion formation probability and the resonance tunneling rate of the active electron between C 60 and the surface, and obtained a critical ''ion formation'' distance Z C ϭ11-12 Å. This value is in reasonable agreement with the value Z C ϭ13Ϯ1 Å extracted before from independent measurements of image charge effects on energy and angular distributions of the negative ion C 60 Ϫ as compared with the neutral C 60 0 under near-grazing-incidence conditions. The picture emerging from the experimental observations is consistent with a complete memory loss of the initial charge state along the incoming trajectory of the hyperthermal particle. The C 60 -surface system is shown to behave adiabatically up to a remarkably large distance from the surface.

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“…(D) to be the same for the film and for the semi-infinite metal. This approximation should hold in first order perturbation theory [22,23,27,28] for a response of the film to an external change close to that of a metal.…”

Section: Appendixmentioning

confidence: 99%

Neutralization of Na+-ions in grazing scattering from the surface of thin Al-films

Borisov

Winter

1996

Z Phys D - Atoms, Molecules and Clusters

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A theoretical study on the formation of the Na I 3s-term in grazing scattering of Na>-ions from the (1 1 1)-surface of an aluminum crystal and a thin film is performed. For the crystal-surface we find quantitative agreement between experimental and theoretical results. For a thin film the quantization of the electronic states in the direction normal to the surface strongly influences the charge-exchange process. The dependence of the neutral fractions in the scattered beam on the projectile velocity is predicted to be clearly different for electron capture from the film and the semi-infinite crystal.

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Theory Concerning the Interaction of an Alkali Atom and a Metallic Surface

Cited by 94 publications

References 11 publications

One-electron matrix elements in the theory of ion–metal-surface scattering

One-electron matrix elements in the theory of ion–metal-surface scattering

Relative yield ofC60−in hyperthermal surface scattering of neutralC
Bekkerman
¹
,
Tsipinyuk
²
,
Kolodney
³

2000
Phys. Rev. B
21
0
2
0
View full text Add to dashboard Cite

Neutralization of Na+-ions in grazing scattering from the surface of thin Al-films

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Theory Concerning the Interaction of an Alkali Atom and a Metallic Surface

Cited by 94 publications

References 11 publications

One-electron matrix elements in the theory of ion–metal-surface scattering

One-electron matrix elements in the theory of ion–metal-surface scattering

Relative yield ofC60−in hyperthermal surface scattering of neutralCBekkerman1, Tsipinyuk2, Kolodney3 2000Phys. Rev. B21020View full textAdd to dashboardCite

Neutralization of Na+-ions in grazing scattering from the surface of thin Al-films

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Product

Resources

About

Relative yield ofC60−in hyperthermal surface scattering of neutralC
Bekkerman
¹
,
Tsipinyuk
²
,
Kolodney
³

2000
Phys. Rev. B
21
0
2
0
View full text Add to dashboard Cite