Analytical Approximations for X-Ray Cross Sections. [Part] Ii.

Biggs, F.; Lighthill, R.

doi:10.2172/4704730

Cited by 46 publications

(9 citation statements)

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“…More extensive 6ts of this type are given by Higgs and Lighthill (1971). McMaster, Del Grande, Mallett, and Hubbell (1970) performed least-squares 6tting to an extensive documented combination of theoretical values and experimental data in the energy range of 1 -1000 keV.…”

Section: Validity Of Previous and Present Tabulationsmentioning

confidence: 99%

Atomic Photoelectric Effect Above 10 keV

1973

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The current understanding of the theory of the atomic photoelectric eGect is reviewed for incident photon energies above 10 keV, complementing the earlier review of Fano and Cooper (1968) at lower energies. The theoretical developments of the last two decades are of two types: (1) analytic results giving insight into many aspects of the photoelectric process and (2) exact numerical cross sections calculated with high speed electronic computers. The basic assumptions . underlying the photoe6ect calculations are described, and pertinent atomic models are discussed. In the energy range considered, satisfactory results are obtained with the process described as the ejection of an electron mdving in a relativistic Hartree -Pock -Slater potential. Exchange, correlation, and other effects are discussed. Many features of the process can be understood with the realization that the important regions in configuration space in the photoefl'ect matrix element are of the order of an electron Compton wave length. This leads to the predictions that the photoeffect cross section in a-sere|:ned potential can be obtained from a point-Coulomb result by a simple normalization, that angular distribution shapes and polarization correlations are the same in the two cases, and that results for photoeffect from different subshells of the same angular momentum are similarly related. The numerical methods, achieving total cross sections accurate to 1%, are described and compared with experiment. Different self-consistent atomic models yield cross sections which ditfer by 3% -8%; these agree with experiments of similar accuracy. New and more accurate cross section tabulations that have recently become available are discussed and recommendations are made concerning their use.

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Section: Validity Of Previous and Present Tabulationsmentioning

confidence: 99%

Atomic Photoelectric Effect Above 10 keV

1973

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“…An earlier compilation by Henke [51], concerning a narrower energy range (from 30 eV to 10 keV), is based on similar criteria; cross sections from 1.5 to 10 keV are taken from [49].…”

Section: F Henke's Compilationmentioning

confidence: 99%

Validation of Cross Sections for Monte Carlo Simulation of the Photoelectric Effect

Han

Kim

Pia

et al. 2016

IEEE Trans. Nucl. Sci.

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Several total and partial photoionization cross section calculations, based on both theoretical and empirical approaches, are quantitatively evaluated with statistical analyses using a large collection of experimental data retrieved from the literature to identify the state of the art for modeling the photoelectric effect in Monte Carlo particle transport. Some of the examined cross section models are available in general purpose Monte Carlo systems, while others have been implemented and subjected to validation tests for the first time to estimate whether they could improve the accuracy of particle transport codes. The validation process identifies Scofield's 1973 non-relativistic calculations, tabulated in the Evaluated Photon Data Library (EPDL), as the one best reproducing experimental measurements of total cross sections. Specialized total cross section models, some of which derive from more recent calculations, do not provide significant improvements. Scofield's non-relativistic calculations are not surpassed regarding the compatibility with experiment of K and L shell photoionization cross sections either, although in a few test cases Ebel's parameterization produces more accurate results close to absorption edges. Modifications to Biggs and Lighthill's parameterization implemented in Geant4 significantly reduce the accuracy of total cross sections at low energies with respect to its original formulation. The scarcity of suitable experimental data hinders a similar extensive analysis for the simulation of the photoelectron angular distribution, which is limited to a qualitative appraisal.

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“…The cross section for this interaction shows a very strong material and spectrum dependence. A simple and convenient equation for the photoelectric effect has been proposed by Biggs and Lighthill [21]:…”

Section: Photon Interactionmentioning

confidence: 99%

Development of comprehensive and integrated models for inertial fusion cavity dynamics.

Hassanein

Morozov

2002

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Analytical Approximations for X-Ray Cross Sections. [Part] Ii.

Cited by 46 publications

References 0 publications

Atomic Photoelectric Effect Above 10 keV

Atomic Photoelectric Effect Above 10 keV

Validation of Cross Sections for Monte Carlo Simulation of the Photoelectric Effect

Development of comprehensive and integrated models for inertial fusion cavity dynamics.

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