Elastic scattering of γ-rays and X-rays by atoms

Kane, P.P.; Kissel, Lynn; Pratt, R.H.; Roy, S.C.

doi:10.1016/0370-1573(86)90018-9

Cited by 266 publications

(143 citation statements)

References 277 publications

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“…Multipole expansion of the form factor of spherically symmetric charge distributions For spherically symmetric charge distributions, the FF is given by [26] …”

Section: Atomic Form Factormentioning

confidence: 99%

“…During the last decades, calculations of Rayleigh scattering amplitudes have been widely performed, both within relativistic and nonrelativistic frameworks [26,[38][39][40][41][42][43]. Up to now, there have been two main methods to perform such calculations, namely relativistic second-order S-matrix (SM) and FF approaches [26].…”

Section: Application To Rayleigh Scatteringmentioning

confidence: 99%

“…Up to now, there have been two main methods to perform such calculations, namely relativistic second-order S-matrix (SM) and FF approaches [26]. SM approach is more accurate than FF, and can provide Rayleigh amplitudes as accurate as 1%, for a wide range of photons energies (approximately from 50 keV to 1.4 MeV [44]).…”

Section: Application To Rayleigh Scatteringmentioning

confidence: 99%

“…[40,44]). We briefly mention that, although both SM and FF [26], NNFF calculations [12] and measurements. If not differently specified, the measurements of Mandal et al [46] are shown for photon energy Eγ = 22.1 keV, while the measurements of Kumar et al [47] are shown for Eγ = 59.54 keV.…”

Section: Application To Rayleigh Scatteringmentioning

confidence: 99%

“…More specifically, FF approach can be used provided that the photon energy be much larger than the atomic binding energies but much smaller than the electron rest-mass energy [26]. More accurate Rayleigh amplitudes for a wider photon energy range can be achieved within the FF approach by considering a modified form factor (MFF) and by considering the anomalous scattering factors usually denoted by f ′ and f ′′ [5,45].…”

Section: Application To Rayleigh Scatteringmentioning

confidence: 99%

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Analytical evaluation of atomic form factors: Application to Rayleigh scattering

Safari

Santos

Amaro

et al. 2015

Journal of Mathematical Physics

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Atomic form factors are widely used for the characterization of targets and specimens, from crystallography to biology. By using recent mathematical results, here we derive an analytical expression for the atomic form factor within the independent particle model constructed from nonrelativistic screened hydrogenic wavefunctions. The range of validity of this analytical expression is checked by comparing the analytically obtained form factors with the ones obtained within the Hartee-Fock method. As an example, we apply our analytical expression for the atomic form factor to evaluate the differential cross section for Rayleigh scattering off neutral atoms.

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“…Multipole expansion of the form factor of spherically symmetric charge distributions For spherically symmetric charge distributions, the FF is given by [26] …”

Section: Atomic Form Factormentioning

confidence: 99%

Section: Application To Rayleigh Scatteringmentioning

confidence: 99%

Section: Application To Rayleigh Scatteringmentioning

confidence: 99%

Section: Application To Rayleigh Scatteringmentioning

confidence: 99%

Section: Application To Rayleigh Scatteringmentioning

confidence: 99%

See 3 more Smart Citations

Analytical evaluation of atomic form factors: Application to Rayleigh scattering

Safari

Santos

Amaro

et al. 2015

Journal of Mathematical Physics

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Compilation of photon cross-sections: some historical remarks and current status

Hubbell¹

1999

X-Ray Spectrom.

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In x‐ray diffraction spectrometry as well as in the many other scientific, engineering and medical disciplines involving photon radiation, x‐ray attenuation coefficients are required as input data. Within a very few years after the discovery of x‐rays by Röntgen in 1895, the transmission of a narrow (parallel) beam of x‐rays through layers of different materials was measured and quantified with respect to photon (x‐ray) energy and atomic number of the material by Barkla and Sadler in 1907. This quantification is in terms of the mass attenuation (or absorption) coefficient µ/ρ (cm2 g−1) which for monoenergetic photons can be defined as or in which x is the mass thickness of the layer in units of g cm−2, I0 is the intensity (e.g. photons cm−2 s−1) of the incident beam, I is the intensity of the transmitted beam (measured with the layer interposed), ρ is the density of the layer in g cm−3 and µ is the linear attenuation (or absorption, µ*) coefficient in cm−1. Current compilations of µ/ρ are derived from theoretical or semi‐empirical values of the most‐probable individual processes according to in which σpe is the atomic photoeffect cross‐section, σincoh> and σcoh are the incoherent (Compton) and coherent (Rayleigh) scattering cross‐sections, respectively, σpair and σtrip are the cross‐sections for electron–positron pair production (creation) in the field of the nucleus and in the field of the atomic electrons (‘triplet’ production), respectively, and the factor 1/uA, where u is the atomic mass unit and A is the relative atomic mass of the target element, converts the σi units from cm2 per atom to cm2 g−1. Since σpair and σtrip have thresholds above 1 MeV, these do not affect the XRS photon energy region, nor does the photonuclear cross‐section σph.n. which has threshold of 5 MeV or higher and is not included in current µ/ρ compilations. In this brief and arbitrarily selective review, a historical account is given of the evolving compilations of µ/ρ from Barkla and Sadler’s work at the beginning of this century, up to the NIST and Livermore compilations as this century comes to its close. For the latter compilations of µ/ρ, some rough estimates of the ‘envelope of uncertainty’ in different ranges of photon energy are given. Copyright © 1999 John Wiley & Sons, Ltd.

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Elastic photon scattering and normalization ofIn Vivo XRF Analyses of Lead in Bone

1999

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Elastic scattering of γ-rays and X-rays by atoms

Cited by 266 publications

References 277 publications

Analytical evaluation of atomic form factors: Application to Rayleigh scattering

Analytical evaluation of atomic form factors: Application to Rayleigh scattering

Compilation of photon cross-sections: some historical remarks and current status

Elastic photon scattering and normalization ofIn Vivo XRF Analyses of Lead in Bone

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