Abstract:Measurements of K-shell ionization cross sections of Fe and Mn targets by the impact of electrons of 6-25 keV energy have been carried out. In the experiments thin targets with thick aluminium foil substrates were used. The influence on the measurements of electrons reflected from the aluminium substrate has been evaluated and corrected by a detailed electron transport calculation. It is shown that the corrected K-shell ionization cross sections of Mn are in good agreement with existing experimental data. For … Show more
“…Figure 4 displays our experimental results, the analytical formula of Casnati et al (1982), and numerical calculations of Mayol and Salvat (1990), Hippler (1990) and Segui et al (2002), as well as experimental data from other authors. For Fe (figure 4(a)), our results are in relatively good agreement with those of Luo et al (1997); the results of He et al (1996) are about 30% larger. Here our data lie between the calculations of Segui et al (2002) and the Mayol-Salvat model, although a slightly better agreement is found with the former calculation.…”
Section: Resultssupporting
confidence: 89%
“…Here our data lie between the calculations of Segui et al (2002) and the Mayol-Salvat model, although a slightly better agreement is found with the former calculation. In the case of Mn (figure 4(b)), our results (solid circles) are in relatively good agreement with Hippler's theoretical model, while those of Shima (1980), Luo et al (1997) and Tang et al (1999) seem to agree more closely with the Mayol-Salvat model. Although somewhat obscured by the absolute uncertainties of our data, the agreement with the results from the DWBA calculations of Segui et al (2002) and Casnati et al (1982) is considered satisfactory.…”
K-shell ionization cross sections of iron and manganese have been measured for incident electrons with energies varying in the interval from 6.5 to 40 keV, in 1 keV steps. Cross sections were obtained by measuring characteristic x-rays emitted from thin films of the elements studied deposited on carbon self-supporting backing films. Relative cross sections were obtained with uncertainties ∼3%. Transformation to absolute units increases the uncertainties to about 11%. The results are compared with those from experiments done by other groups, from various calculations based on the first Born approximation (with corrections for exchange, Coulomb and relativistic effects) and from applying a widely used semi-empirical formula.
“…Figure 4 displays our experimental results, the analytical formula of Casnati et al (1982), and numerical calculations of Mayol and Salvat (1990), Hippler (1990) and Segui et al (2002), as well as experimental data from other authors. For Fe (figure 4(a)), our results are in relatively good agreement with those of Luo et al (1997); the results of He et al (1996) are about 30% larger. Here our data lie between the calculations of Segui et al (2002) and the Mayol-Salvat model, although a slightly better agreement is found with the former calculation.…”
Section: Resultssupporting
confidence: 89%
“…Here our data lie between the calculations of Segui et al (2002) and the Mayol-Salvat model, although a slightly better agreement is found with the former calculation. In the case of Mn (figure 4(b)), our results (solid circles) are in relatively good agreement with Hippler's theoretical model, while those of Shima (1980), Luo et al (1997) and Tang et al (1999) seem to agree more closely with the Mayol-Salvat model. Although somewhat obscured by the absolute uncertainties of our data, the agreement with the results from the DWBA calculations of Segui et al (2002) and Casnati et al (1982) is considered satisfactory.…”
K-shell ionization cross sections of iron and manganese have been measured for incident electrons with energies varying in the interval from 6.5 to 40 keV, in 1 keV steps. Cross sections were obtained by measuring characteristic x-rays emitted from thin films of the elements studied deposited on carbon self-supporting backing films. Relative cross sections were obtained with uncertainties ∼3%. Transformation to absolute units increases the uncertainties to about 11%. The results are compared with those from experiments done by other groups, from various calculations based on the first Born approximation (with corrections for exchange, Coulomb and relativistic effects) and from applying a widely used semi-empirical formula.
“…Values of the Handbook of Chemistry and Physics (Boca Raton, FL: Chemical Rubber Company) are used for Kshell ionization energies. Excellent agreement is obtained between values deduced from the expression proposed and cross sections measured precisely by Shima [30,31] and Luo et al [32][33][34][35][36] in the vinicity of the threshold. The accuracy is better than 10% in this range.…”
Section: Resultssupporting
confidence: 74%
“…U 4) [29]. Recent measurements of the K-shell ionization by electron impact near-threshold energy region have been performed [32][33][34][35][36]. These near threshold measured cross sections are in excellent agreement with the previous data which were precisely measured [30,31].…”
An empirical expression is proposed to describe the K-shell ionization cross sections by electron impact over a wide range of atomic numbers (i.e. 6 Z 79) and overvoltages U (i.e. 1 U 10 4 ) defined as being the ratio between the incident electron energy and the ionization energy of the electrons in the K shell. The study is based on the analysis of existing experimental databases for atoms. Agreement is obtained with an accuracy of 10% over the entire atomic number and overvoltage ranges including the near-threshold region. Results are compared with those obtained with other analytical expressions.
“…Figures 1(a)-(c) compare the present K-shell (1s 1/2 ) EII cross section of the C, Al, and Fe atoms, respectively, with existing measurements by Tavara et al [30], Hink and Ziegler [31], Limandri et al [32], Ishii et al [33], Hoffmann et al [34], Kamiya et al [35], McDonald and Spicer [36], Scholz et al [37], He et al [38], Luo et al [39] and Llovet et al [40]. We also compare the present results with other empirical models such as the RBEB by Kim et al [17], the MUIBED by Patoary et al [26], and the DWBA results by Bote et al [6].…”
Section: Electron Impact Inner-shell Ionization Of Atomssupporting
A generalized binary-encounter-Bethe (GBEB) model is proposed to calculate the partial ionization cross sections of all shells. The present model improves the original version of Kim \textit{et al.} [Phys. Rev. A \textbf{62}, 052710 (2000)] by incorporating a physically constructed effective charge felt by the ejected electron in the empirical factor, which prevents the selection of specific factors for different shells. A generalized relativistic BEB formula is also proposed and applied to different inner shells of C, Al, Fe, Ar, Ag, Xe, Sn, Pb, and Bi atoms for impact energies from the thresholds up to $10^{6}$ keV. The present model improves the partial ionization cross sections in the low-energy region compared to other relativistic BEB models. The GBEB partial and total ionization cross sections of the Xe atom are compared with the original BEB results. The present calculations, combined with the contribution from the direct multiple ionization, show good agreement with the experimental measurements in the intermediate- and high-energy ranges. We conclude that the present GBEB model, without any fitting parameters and \textit{ad hoc} corrections, improves the BEB prediction of partial and total ionization cross sections for a good variety of atomic targets.
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