Analytical evaluation of atomic form factors

• Verfasst von: Safari, Laleh [VerfasserIn]
• Verfasst von: Santos, J. P. [VerfasserIn]
• Verfasst von: Amaro, Pedro [VerfasserIn]
• Verfasst von: Jänkälä, K. [VerfasserIn]
• Verfasst von: Fratini, F. [VerfasserIn]
• Titel: Analytical evaluation of atomic form factors
• Titelzusatz: Application to Rayleigh scattering
• Verf.angabe: L. Safari, J.P. Santos, P. Amaro, K. Jänkälä, F. Fratini
• E-Jahr: 2015
• Jahr: 20 May 2015
• Umfang: 8 S.
• Illustrationen: Diagramme
• Fussnoten: Gesehen am 09.07.2020
• Titel Quelle: Enthalten in: Journal of mathematical physics
• Ort Quelle: College Park, Md. : American Inst. of Physics, 1960
• Jahr Quelle: 2015
• Band/Heft Quelle: 56(2015,5) Artikel-Nummer 052105, 8 Seiten
• ISSN Quelle: 1089-7658
• DOI: doi:10.1063/1.4921227
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1724095927

Abstract

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 wave functions. 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.