Practical Electron Microscopy and Database

An Online Book, Second Edition by Dr. Yougui Liao (2006)

Practical Electron Microscopy and Database - An Online Book

Chapter/Index: Introduction | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | Appendix

Angular Dependence of Inelastic Scattering of Electrons

In general, the higher the effective atomic number, the higher is the inelastic differential cross-section. However, the ratio of the inelastic to the elastic scattering cross-section is inversely proportional to the effective atomic number, [1]
         ratio of the inelastic to the elastic scattering cross-section ------------------------ [947]
where,          
         σi -- the inelastic scattering cross-section,
         σe -- the elastic scattering cross-section,
         Zeff -- the effective atomic number,
         C -- a coefficient,
         ratio of the inelastic to the elastic scattering cross-section -- the characteristic angle corresponding to the mean energy loss.

Figure 4755b shows the angle at which inelastic and elastic differential cross-sections are equal, as a function of the atomic number Z at the energy loss of 10 eV.

Plot of the scattering angle at which elastic and inelastic differential cross-sections are equal, as a function of the atomic number at an energy loss of 10 eV.

Figure 4755b. Plot of the scattering angle at which elastic and inelastic differential cross-sections are equal, as a function of the atomic number at an energy loss of 10 eV. [2]

 

 

 

 

 

 

 

 

 

 

 

[1] A.V. Crewe, J.P. Langmore, M.S. Isaacson, Physical aspects of electron microscopy and microbeam analysis, in: B.M. Siegel, D.R. Beaman (Eds.), Wiley, New York, 1975, p. 47.
[2] Lin Gu, Wilfried Sigle, Christoph T. Koch, Jaysen Nelayah, Vesna Srot, Peter A. van Aken, Mapping of valence energy losses via energy-filtered annular dark-field scanning transmission electron microscopy, Ultramicroscopy 109 (2009) 1164–1170.