Cross Section of Plasmon Scattering
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The cross-section of bulk plasmon generation induced by energetic incident electrons can be given by [1, 2],

Cross sections for the various elastic and inelastic scattering processes in Al as a function of the incident electron energy -[4616]
where,
         E -- The energy loss.
         Ω -- The solid angle.
         n -- The atomic density of specimen.
         a0 -- The Bohr radius.
         E0 -- The energy of incident electrons.
         θ -- The scattering angle.
         θE -- The characteristic angle with relativistic correction.
         EP,0 -- The plasmon energy at q = 0 (q is the wave-vector of an electron).
         γ -- A coefficient.
         ΔEP -- The damping coefficient.         

Figure 4616 shows the cross section of plasmon scattering process in Al as a function of the incident electron energy at the scattering angles of ~ 0°. For comparison, the figure also shows cross sections for the elastic and other inelastic scattering processes.

Cross sections for the various elastic and inelastic scattering processes in Al as a function of the incident electron energy

Figure 4616. Cross sections for the elastic and various inelastic scattering processes in Al as a function of
the incident electron energy at scattering angles of ~ 0°.

In contrast to core electrons, valence electrons have a very large scattering cross section providing higher spatial resolution because smaller spot sizes can be used and induces less sample damage because smaller exposure times can be applied.

 

 

[1] H. Raether, in: G. Ho¨ hler (Ed.), Springer Tracts in Modern Physics, vol. 38, Springer, Berlin, 1965, p. 85.
[2] R.H. Ritchie, A. Howie, Philos. Mag. 36 (1977) 463.

 

 

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