Inelastic Scattering

Part of the Springer Tracts in Modern Physics book series (STMP, volume 186)


Assume that a free electron is at rest. At a distance r from it, another electron is travelling along the z direction. If θ represents the angle between r and z, v represents the velocity of the incident electron and the instant of impact is t = 0, − vt = r cosθ. (4.1) Defining the impact parameter b by b = r sinθ, (4.2) it is possible to see that b is the distance from the trajectory of the incident electron to the target: b 2 + v 2 t 2 = r 2 . (4.3) F indicates the force of repulsion between the two electrons, where F z = e 2 cosθ/r 2 (4.4) and F x = e 2 sinθ/r 2 , (4.5) and p z and p x are the components of the momentum transferred to the target electron. As cotθ = −vt/b, (4.6) differentiating with respect to θ, we can obtain dt/=b/vsin 2 θ. (4.7) Therefore, 1/r 2 dt/=1/bv. (4.8)


Free Path Impact Parameter Dielectric Function Inelastic Scattering Optical Data 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    H.A. Bethe, in Handbuch der Physik (Springer, Berlin, 1933), 24, 519Google Scholar
  2. 2.
    J.C. Ashley, J. Electron Spectrosc. Relat. Phenom. 46, 199 (1988)CrossRefGoogle Scholar
  3. 3.
    J.C. Ashley, J. Electron Spectrosc. Relat. Phenom. 50, 323 (1990)CrossRefGoogle Scholar
  4. 4.
    C.J. Powell, J. Vac. Sci. Technol. 13, 219 (1976)CrossRefGoogle Scholar
  5. 5.
    J. Quinn, Phys. Rev. 126, 1453 (1962)Google Scholar
  6. 6.
    B.L. Henke, P. Lee, T.J. Tanaka, R.L. Shimabukuro, B.K. Fujikawa, At. Data Nucl. Data Tables 27, 1 (1982)CrossRefGoogle Scholar
  7. 7.
    M. Dapor, A. Miotello, Eur. Phys. J.: Appl. Phys. 5, 143 (1999)CrossRefGoogle Scholar
  8. 8.
    R. Flitsch, S.I. Raider, J. Vac. Sci. Technol. 12, 305 (1975)CrossRefGoogle Scholar
  9. 9.
    F.L. Battye, J.K. Jenkin, J. Liesegang, R.C.G. Leckey, Phys. Rev. B 9, 2887 (1974)CrossRefGoogle Scholar
  10. 10.
    A. Akkerman, T. Boutboul, A. Breskin, R. Chechik, A. Gibrekhterman, Y. Lifshitz, Phys. Status Solidi B 198, 769 (1996)CrossRefGoogle Scholar
  11. 11.
    D.C. Joy, Scanning 17, 270 (1995)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Personalised recommendations