An empirical expression for K-shell ionization cross section by electron impact

Hombourger, Chrystel

doi:10.1088/0953-4075/31/16/020

Cited by 120 publications

(115 citation statements)

References 41 publications

(68 reference statements)

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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: 82%

“…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: 61%

“…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: 82%

Section: Calculationsmentioning

confidence: 61%

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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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“…Note that the low-energy part of fðEÞ corresponds to a power-law function with a decreasing trend given by the parameter . This provides a better fit to the distribution than the commonly used Maxwellian functions (red dashed lines), especially in the energy range 30 keV-5 MeV, where the Ag and Sn K-shell cross sections [31] (blue solid line with squares) are higher. The power law distribution function results in a good reproduction of the absolute K yields obtained experimentally, as described below.…”

mentioning

confidence: 99%

“…A K emission module, based on the model of Ref. [31], is used to calculate the K signal yields and size for comparison with experiment.…”

mentioning

confidence: 99%

Relativistic High-Current Electron-Beam Stopping-Power Characterization in Solids and Plasmas: Collisional Versus Resistive Effects

et al. 2012

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We present experimental and numerical results on intense-laser-pulse-produced fast electron beams transport through aluminum samples, either solid or compressed and heated by laser-induced planar shock propagation. Thanks to absolute K yield measurements and its very good agreement with results from numerical simulations, we quantify the collisional and resistive fast electron stopping powers: for electron current densities of % 8 Â 10 10 A=cm 2 they reach 1:5 keV= m and 0:8 keV= m, respectively. For higher current densities up to 10 12 A=cm 2 , numerical simulations show resistive and collisional energy losses at comparable levels. Analytical estimations predict the resistive stopping power will be kept on the level of 1 keV= m for electron current densities of 10 14 A=cm 2 , representative of the full-scale conditions in the fast ignition of inertially confined fusion targets. In the fast ignition (FI) scheme of inertial confinement fusion, a relativistic electron beam (REB) heats the compressed core and ignites the fusion reactions in a capsule of deuterium and tritium [1]. This REB is generated at the critical density surface, or at the cone tip of a cone-embedded imploded capsule [2] by a high-intensity (% 10 20 W=cm 2 ) and high-energy ($100 kJ) laser. The REB source has a total kinetic energy & 40% of the laser energy [3][4][5] and a mean kinetic energy of 1-2 MeV (to provide an efficient coupling to the dense core). The REB transports energy from the generation region (with density and temperature in the level of a few g=cm 3 and a few eV, respectively) to the high-density ($ 400 g=cm 3 ) and hightemperature ($ 300 eV) core, where it must deliver a minimum of 20 kJ to heat the fuel to thermonuclear temperatures ($ 5-10 keV) [6]. The energy transport efficiency can be limited by such physical processes as collisional or collective energy loss [7], divergence [8,9], filamentation [10][11][12], etc. The energy losses over the highly inhomogeneous electron transport zone should be accurately predicted for a successful full-scale FI design. In particular, the REB stopping power should be limited to a few keV= m over the $100 m standing-off distance between the REB source and the imploded core.The work presented here aims at characterizing the REB stopping power in dense media in underscaled experimental conditions. The measurements are used to benchmark a REB transport code. The tested transport media, ranging from solid to warm dense matter, are much denser than the injected REB, being reasonable to assume an efficient neutralization of the injected current (j h ) by a counterstreaming current (j e ) of background thermal electrons (j h % Àj e ). Under these conditions, the numerical description of the REB transport often uses the so-called hybrid approach, where the incident and weakly collisional electrons are modeled kinetically and the highly collisional return current is described as an inertialess fluid [10,13,14].Most of the REB transport experiments carried out up to now have used solid targets [8,15...

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Use of layered synthetic microstructures for the quantitative x-ray analysis of light elements

et al. 1999

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An empirical expression for K-shell ionization cross section by electron impact

Cited by 120 publications

References 41 publications

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

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

Relativistic High-Current Electron-Beam Stopping-Power Characterization in Solids and Plasmas: Collisional Versus Resistive Effects

Use of layered synthetic microstructures for the quantitative x-ray analysis of light elements

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