Shape functions for atomic-field bremsstrahlung from electrons of kinetic energy 1–500 keV on selected neutral atoms 1 ≤ Z ≤ 92

Kissel, Lynn; Quarles, C.A.; Pratt, R. H.

doi:10.1016/0092-640x(83)90001-3

Cited by 218 publications

(142 citation statements)

References 5 publications

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“…This detector was calibrated for efficiency by comparing atomic-field bremsstrahlung spectra from 66.5-keV electron bombardment of thin foils of aluminum, silver, and gold with the theoretical bremsstrahlung spectral distributions [23,24]. A colliinated electron beam from a 300-kV Cockcroft-Walton accelerator was used to produce bremsstrahlung in targets mounted at a 45' angle to the incident beam direction.…”

Section: Introductionmentioning

confidence: 99%

K-shell x-ray-production cross sections inC6,O
Yu
¹
,
McNeir
²
,
Weathers
³

et al. 1991
Phys. Rev. A
11
1
3
0
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K-shell x-ray-production cross sections are reported for elements with K-shell x-ray energies between 277 eV (C) and 1487 eV (Al). The x-ray measurements were made with a windowless Si(Li) detector that was calibrated for eKciency by comparing bremsstrahlung spectra from electron bombardment of thin foils of aluminum, silver, and gold with theoretically determined bremsstrahlung spectral distributions.The x-ray-production cross-section measurements are compared to first-order Born and perturbedstationary-state with energy-loss, Coulomb deflection, and relativistic corrections (ECPSSR) ionization theories using single-hole Auorescence yields. The ECPSSR and first-order Born theoretical predictions are, in general, in close agreement with each other and both generally fit the data quite well.

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Section: Introductionmentioning

confidence: 99%

K-shell x-ray-production cross sections inC6,O
Yu
¹
,
McNeir
²
,
Weathers
³

et al. 1991
Phys. Rev. A
11
1
3
0
View full text Add to dashboard Cite

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“…We found that the benchmark partial-wave shape functions of Kissel et al (1983) can be closely approximated by the analytical form (3.159) if one considers A and β as adjustable parameters. Explicitly, we write…”

Section: Angular Distribution Of Emitted Photonsmentioning

confidence: 92%

“…Numerical values of the "shape function" p br (Z, E, κ; cos θ), calculated by partialwave methods, have been published by Kissel et al (1983) for the following benchmark cases: Z = 2, 8, 13, 47, 79, 92; E = 1, 5, 10, 50, 100, 500 keV and κ = 0, 0.6, 0.8, 0.95. These authors also gave a parameterisation of the shape function in terms of Legendre polynomials.…”

Section: Angular Distribution Of Emitted Photonsmentioning

confidence: 99%

“…The shape function obtained from the Kirkpatrick-Wiedmann-Statham fit reads 156) where the quantities σ x and σ y are independent of θ. Although this simple formula predicts the global trends of the partial-wave shape functions of Kissel et al (1983) in certain energy and atomic number ranges, its accuracy is not sufficient for generalpurpose simulations. In a preliminary analysis, we tried to improve this formula and determined the parameters σ x and σ y by direct fitting to the numerical partial-wave shape functions, but the improvement was not substantial.…”

Section: Angular Distribution Of Emitted Photonsmentioning

confidence: 99%

“…The parameters A and B have been determined, by least squares fitting, for the 144 combinations of atomic number, electron energy and reduced photon energy corresponding to the benchmark shape functions tabulated by Kissel et al (1983).…”

Section: Angular Distribution Of Emitted Photonsmentioning

confidence: 99%

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Radial Secondary Electron Dose Profiles and Biological Effects in Light-Ion Beams Based on Analytical and Monte Carlo Calculations using Distorted Wave Cross Sections

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A model for the energy and angular distribution of x rays emitted from an x‐ray tube. Part I. Bremsstrahlung production

2020

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Purpose: To develop an analytical model for bremsstrahlung production in a thick x-ray target (i.e., the x-ray tube anode) that takes into account the intrinsic bremsstrahlung angular distribution. Methods: X-ray spectrum models developed from theoretical principles have traditionally treated the angular distribution of the bremsstrahlung production as spherically uniform. This assumption stems from the rationale that electrons promptly attain a diffuse directional distribution in an x-ray target due to multiple scattering, thereby effectively masking the intrinsic bremsstrahlung angular distribution. In this work, a model that explicitly accounts for the angular distribution of the bremsstrahlung production is presented. The model combines Monte Carlo-calculated depth, energy, and angular distributions of electrons penetrating the x-ray target, and incorporates theoretical results for the differential bremsstrahlung cross section. The effects of using different simplified model assumptions for the electron penetration and the intrinsic bremsstrahlung angular distribution are analyzed for tungsten and molybdenum targets in the energy range 20-300 keV. Results: Typical assumptions of previous models are shown to introduce errors in calculated spectra. Particularly, it is shown that predictions of fluence and air kerma free-in-air can be overestimated by 15-30% (2-3% in aluminum half-value layer thickness) for clinically relevant beam qualities. The present model is able to reproduce comprehensive Monte Carlo calculations of the bremsstrahlung production generally to within 1%. Conclusions: The bremsstrahlung model developed in this work is an improvement over previous models in that the main features of the electron penetration and the resulting bremsstrahlung are considered in detail. The model can be used for more accurate predictions of the energy and angular distribution of x rays emitted from an x-ray tube.

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Shape functions for atomic-field bremsstrahlung from electrons of kinetic energy 1–500 keV on selected neutral atoms 1 ≤ Z ≤ 92

Cited by 218 publications

References 5 publications

K-shell x-ray-production cross sections inC6,O
Yu
¹
,
McNeir
²
,
Weathers
³

et al. 1991
Phys. Rev. A
11
1
3
0
View full text Add to dashboard Cite

K-shell x-ray-production cross sections inC6,O
Yu
¹
,
McNeir
²
,
Weathers
³

et al. 1991
Phys. Rev. A
11
1
3
0
View full text Add to dashboard Cite

Radial Secondary Electron Dose Profiles and Biological Effects in Light-Ion Beams Based on Analytical and Monte Carlo Calculations using Distorted Wave Cross Sections

A model for the energy and angular distribution of x rays emitted from an x‐ray tube. Part I. Bremsstrahlung production

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Shape functions for atomic-field bremsstrahlung from electrons of kinetic energy 1–500 keV on selected neutral atoms 1 ≤ Z ≤ 92

Cited by 218 publications

References 5 publications

K-shell x-ray-production cross sections inC6,OYu1, McNeir2, Weathers3 et al. 1991Phys. Rev. A11130View full textAdd to dashboardCite

K-shell x-ray-production cross sections inC6,OYu1, McNeir2, Weathers3 et al. 1991Phys. Rev. A11130View full textAdd to dashboardCite

Radial Secondary Electron Dose Profiles and Biological Effects in Light-Ion Beams Based on Analytical and Monte Carlo Calculations using Distorted Wave Cross Sections

A model for the energy and angular distribution of x rays emitted from an x‐ray tube. Part I. Bremsstrahlung production

Contact Info

Product

Resources

About

K-shell x-ray-production cross sections inC6,O
Yu
¹
,
McNeir
²
,
Weathers
³

et al. 1991
Phys. Rev. A
11
1
3
0
View full text Add to dashboard Cite

K-shell x-ray-production cross sections inC6,O
Yu
¹
,
McNeir
²
,
Weathers
³

et al. 1991
Phys. Rev. A
11
1
3
0
View full text Add to dashboard Cite