Calculations of mean free paths and stopping powers of low energy electrons (⩽ 10 keV) in solids using a statistical model

New developments in theory of fast electron scattering in solids: Applications to microbeam analysis

“…In Table 2 the values of the parameter a calculated for A1, Cu, Ag and Au are presented in a broad energy range. For energies less than 10 keV the linear range Ro was calculated by numerical integration of the inverse stopping power found in [23]. For higher energies we used the Ro values from [22].…”

“…The energy dependence of the parameter a = Ro/2tr. The values of the linear range R o and the transport mean free path 2tr (10 -6 cm) are based on the results of [22,23] and [25] In the region of high reduced energies >> 1 the quantity a increases almost linearly with the atomic number Z. At small energies E << 1 the parameter a diminishes proportionally ~ Z-1/a.…”

“…Moreover direct comparison of analytical results with independent Monte Carlo calculations shows that the accuracy of the transport approximation is within a few percent [20,21] and this usually satisfies modern requirements. Due to intensive studies by different authors [22][23][24] our knowledge about electron stopping power and inelastic mean free path (IMFP) has become much sounder. In addition reliable quasiclassical expressions for the momentum-transfer cross section of medium energy electrons are now available [25].…”

Quantum Zeno Effect, Nuclear Conversion and Photoionization in Solids

“…Kinetic energy of the main part of conversion electrons created in the process of decay of isomer lays in the interval 45 60 eV, which corresponds to the length of the de'Brogl wave in interval 2 1.5 A 1 respectively. In metals (but not in isolators) the mean free path of such electrons up to inelastic scattering is very short and lays in interval 3 5 A 1 (theoretical estimates based on the statistical model of electron gas and random phase approximation [47]) or even less, down to t1 A 1 (experiment [48,49]). Thus the wave length of the conversion electrons turns out to be of the order of length of its inelastic mean free path.…”

Quantitative Estimation Methods for Concentrations and Layer Thicknesses of Elements Using Edge-jump Ratios of X-ray absorption spectra

“…α -1 = 5 Å and ε = 8 eV, which are empirically determined, are adopted here according to Erbil et al 4 The Auger electron effective ranges are calculated from the stopping powers calculated by a statistical model. 6 The numbers of secondary electrons generated by the KLL and LMM Auger processes are calculated using Auger and fluorescence yields and experimental K and L X-ray emission rates. 7,8 Since the edge-jump ratio of Fe K-edge varies in the wide range of 0 to 7.67, estimating the composition of the alloy system is relatively easy.…”