--- _id: '1811' abstract: - lang: eng text: 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. acknowledgement: The research leading to these results has received funding from the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA grant agreement n◦ [291734]. F.F. acknowledges support by Fundação de Amparo à Pesquisa do estado de Minas Gerais (FAPEMIG), by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), and by the Austrian Science Fund (FWF) through the START Grant No. Y 591-N16. article_number: '052105' author: - first_name: Laleh full_name: Safari, Laleh id: 3C325E5E-F248-11E8-B48F-1D18A9856A87 last_name: Safari - first_name: José full_name: Santos, José last_name: Santos - first_name: Pedro full_name: Amaro, Pedro last_name: Amaro - first_name: Kari full_name: Jänkälä, Kari last_name: Jänkälä - first_name: Filippo full_name: Fratini, Filippo last_name: Fratini citation: ama: 'Safari L, Santos J, Amaro P, Jänkälä K, Fratini F. Analytical evaluation of atomic form factors: Application to Rayleigh scattering. Journal of Mathematical Physics. 2015;56(5). doi:10.1063/1.4921227' apa: 'Safari, L., Santos, J., Amaro, P., Jänkälä, K., & Fratini, F. (2015). Analytical evaluation of atomic form factors: Application to Rayleigh scattering. Journal of Mathematical Physics. American Institute of Physics. https://doi.org/10.1063/1.4921227' chicago: 'Safari, Laleh, José Santos, Pedro Amaro, Kari Jänkälä, and Filippo Fratini. “Analytical Evaluation of Atomic Form Factors: Application to Rayleigh Scattering.” Journal of Mathematical Physics. American Institute of Physics, 2015. https://doi.org/10.1063/1.4921227.' ieee: 'L. Safari, J. Santos, P. Amaro, K. Jänkälä, and F. Fratini, “Analytical evaluation of atomic form factors: Application to Rayleigh scattering,” Journal of Mathematical Physics, vol. 56, no. 5. American Institute of Physics, 2015.' ista: 'Safari L, Santos J, Amaro P, Jänkälä K, Fratini F. 2015. Analytical evaluation of atomic form factors: Application to Rayleigh scattering. Journal of Mathematical Physics. 56(5), 052105.' mla: 'Safari, Laleh, et al. “Analytical Evaluation of Atomic Form Factors: Application to Rayleigh Scattering.” Journal of Mathematical Physics, vol. 56, no. 5, 052105, American Institute of Physics, 2015, doi:10.1063/1.4921227.' short: L. Safari, J. Santos, P. Amaro, K. Jänkälä, F. Fratini, Journal of Mathematical Physics 56 (2015). date_created: 2018-12-11T11:54:08Z date_published: 2015-05-20T00:00:00Z date_updated: 2021-01-12T06:53:21Z day: '20' department: - _id: MiLe doi: 10.1063/1.4921227 ec_funded: 1 intvolume: ' 56' issue: '5' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1409.0110 month: '05' oa: 1 oa_version: Preprint project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme publication: Journal of Mathematical Physics publication_status: published publisher: American Institute of Physics publist_id: '5295' scopus_import: 1 status: public title: 'Analytical evaluation of atomic form factors: Application to Rayleigh scattering' type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 56 year: '2015' ...