The fractal behaviour of electron scattering in solids is studied with electron trajectories simulated by Monte Carlo simulations. More precisely, the Hausdorff-Besicovitch dimension is determined for several electrons trajectories simulated in solids of different compositions. Then, a simple model to compute the fractal dimension of electron trajectories in solids is presented, a model which raises a question concerning the maximum value of the backscattering coefficient. Results of Monte Carlo simulations of electron trajectories in several elements with total randomness for the polar and azimuthal angles of scattering are presented as a tentative answer to this question. Finally, the multi fractal behaviour of the energy distribution of backscattered electrons is presented.
Gauvin, Raynald and Drouin, Dominique
"Fractal Description of Electron Scattering in Solids: Several New Results and a Simple Modelization of the Fractal Dimension,"
Scanning Microscopy: Vol. 1993
, Article 1.
Available at: https://digitalcommons.usu.edu/microscopy/vol1993/iss7/1