Length of Free Path of Slow Electrons in a Solid Depending on Their Energy
V. O. Tin’kov
G.V. Kurdyumov Institute for Metal Physics, NAS of Ukraine, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine
Received: 05.01.2006. Download: PDF
The main methods of calculation of the inelastic mean free path (IMFP), $\lambda$, of inelastically-scattered electrons versus their energy $E_{0}$ are reviewed. Mechanisms, which influence on the character of $\lambda($E_{0}$)$-dependence of IMFP, are considered for electron—electron scattering within the framework of the free electron-gas model approximation. Within the framework of the examined model, the IMFPs, $\lambda$, is calculated for pure Pt, Co and a Pt$_{80}$Co$_{20}$ alloy in a wide range of energies – $Е_0 = 10 − 1600$ eV. The obtained results are compared with experimental data on IMFPs, $\lambda$, for $3d$-metals (Fe $\rightarrow$ Cu) and $5d$-metals (Pt, Au). As revealed, the high divergence of experimental dependence and semi-empirical calculations for IMFP, $\lambda_{exp}$, is in the low-energy range of $Е_0$. As shown, a most correct definition of IMFP, $\lambda(Е_0)$, may be obtained by approximation of experimental data, if any, by $\lambda = A / E_{0}^{2} + BE_{0}^{1/2}$ relation (where $A$, $B$ are fitting parameters).
Keywords: electron free length path, damping length, electron—electron scattering, free electron-gas model, interzone transitions, plasmons, dielectric response function.
PACS: 72.15.Lh, 73.20.Mf, 73.50.Mx, 73.50.Gr, 79.20.Hx, 79.20.Uv, 82.80.Pv
DOI: https://doi.org/10.15407/ufm.07.02.117
Citation: V. O. Tin’kov, Length of Free Path of Slow Electrons in a Solid Depending on Their Energy, Usp. Fiz. Met., 7, No. 2: 117—134 (2006) (in Russian), doi: 10.15407/ufm.07.02.117