An extended empirical formula for inner-shell ionization of atoms

Haque, A. K. F.; Talukder, M. R.; Shahjahan, M.; Uddin, Md. Azhar; Basak, A. K.; Saha, Bidhan C.

doi:10.1088/0953-4075/43/11/115201

Cited by 18 publications

(36 citation statements)

References 53 publications

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“…A good agreement is also observed for the empirical models of Haque et al [21] and Hombourger [22]. Beyond the dip (ε > 10 MeV), the relativistic rise is steeper than in our model in both ab initio calculations (MRBEB and DWB/PWB) as well as in the fitted cross sections of Haque et al [21] and Hombourger [22]. Following the suggestion of Davies et al [1], the density-effect correction has been incorporated into the MRBEB model and the result is plotted in this figure.…”

Section: Calculationssupporting

confidence: 85%

“…the modified relativistic binary encounter Bethe (MRBEB) model of Guerra et al [11] and the combination of distorted-wave-Born and plane-wave-Born (DWB/PWB) models of Bote et al [20]. A good agreement is also observed for the empirical models of Haque et al [21] and Hombourger [22]. Beyond the dip (ε > 10 MeV), the relativistic rise is steeper than in our model in both ab initio calculations (MRBEB and DWB/PWB) as well as in the fitted cross sections of Haque et al [21] and Hombourger [22].…”

Section: Calculationsmentioning

confidence: 62%

“…The fitted cross sections of Davies et al [1] are systematically ∼10%-∼20% higher than our calculations. A comparison of our (summed) DW + extrapol cross section in Cu 0 with other models [1,11,[20][21][22] is given in Fig. 2.…”

Section: Calculationsmentioning

confidence: 99%

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Copper fine-structure K-shell electron impact ionization cross sections for fast-electron diagnostic in laser-solid experiments

Palmeri

Quinet

Batani

2015

Atomic Data and Nuclear Data Tables

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a b s t r a c tThe K-shell electron impact ionization (EII) cross section, along with the K-shell fluorescence yield, is one of the key atomic parameters for fast-electron diagnostic in laser-solid experiments through the K-shell emission cross section. In addition, copper is a material that has been often used in those experiments because it has a maximum total K-shell emission yield. Furthermore, in a campaign dedicated to the modeling of the K lines of astrophysical interest (Palmeri et al., 2012), the K-shell fluorescence yields for the K-vacancy fine-structure atomic levels of all the copper isonuclear ions have been calculated.In this study, the K-shell EII cross sections connecting the ground and the metastable levels of the parent copper ions to the daughter ions K-vacancy levels considered in Palmeri et al. (2012) have been determined. The relativistic distorted-wave (DW) approximation implemented in the FAC atomic code has been used for the incident electron kinetic energies up to 10 times the K-shell threshold energies. Moreover, the resulting DW cross sections have been extrapolated at higher energies using the asymptotic form proposed by Davies et al. (2013).

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Section: Calculationssupporting

confidence: 85%

Section: Calculationsmentioning

confidence: 62%

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Copper fine-structure K-shell electron impact ionization cross sections for fast-electron diagnostic in laser-solid experiments

Palmeri

Quinet

Batani

2015

Atomic Data and Nuclear Data Tables

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“…1, our calculated K-shell EII cross sections in V 0 are compared to the experimental data compiled by Liu et al [35], the measurements of An et al [36], the empirical XCVTS formula of Haque et al [34], the combination of distorted-wave-Born and plane-wave-Born approximations (DWBA + PWBA) of Bote et al [33], the MRBEB model of Guerra et al [30] and this latter model corrected for the density effect as suggested by Davies et al [1] (MRBEB + Density Effects). Our RDW + Extrapol.…”

Section: Calculationsmentioning

confidence: 94%

Vanadium fine-structure K-shell electron impact ionization cross sections for fast-electron diagnostic in laser–solid experiments

Palmeri

Quinet

Batani

2015

Atomic Data and Nuclear Data Tables

View full text Add to dashboard Cite

a b s t r a c tThe K-shell electron impact ionization (EII) cross section, along with the K-shell fluorescence yield, is one of the key atomic parameters for fast-electron diagnostic in laser-solid experiments through the K-shell emission cross section. In addition, in a campaign dedicated to the modeling of the K lines of astrophysical interest (Palmeri et al. (2012)), the K-shell fluorescence yields for the K-vacancy fine-structure atomic levels of all the vanadium isonuclear ions have been calculated.In this study, the K-shell EII cross sections connecting the ground and the metastable levels of the parent vanadium ions to the daughter ions K-vacancy levels considered in Palmeri et al. (2012) have been determined. The relativistic distorted-wave (DW) approximation implemented in the FAC atomic code has been used for the incident electron kinetic energies up to 20 times the K-shell threshold energies. Moreover, the resulting DW cross sections have been extrapolated at higher energies using the asymptotic behavior of the modified relativistic binary encounter Bethe model (MRBEB) of Guerra et al. (2012) with the density-effect correction proposed by Davies et al. (2013).

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“…The Vaisburd and Evdokimov [6], henceforth referred to as VE model, has the special feature in that it includes a special component describing the resonant ionization and joins elegantly with the Bethe formula valid at high-energy domain. The empirical formulae models proposed by Haque et al [7,8] provided successful description of cross-sections of electron impact inner-shell ionization of atoms for a wide range of atoms covering up to the energy of GeV order with inclusion of ionic and relativistic ingredients into the structures of the models .…”

Section: Introductionmentioning

confidence: 99%