Analytical evaluation of atomic form factors: Application to Rayleigh scattering Journal Article


Author(s): Safari, Laleh; Santos, José P; Amaro, Pedro; Jänkälä, Kari; Fratini, Filippo
Article Title: Analytical evaluation of atomic form factors: Application to Rayleigh scattering
Affiliation IST Austria
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.
Journal Title: Journal of Mathematical Physics
Volume: 56
Issue 5
ISSN: 1089-7658
Publisher: American Institute of Physics  
Date Published: 2015-05-01
Start Page: Article number: 052105
URL:
DOI: 10.1063/1.4921227
Notes: 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.
Open access: yes (repository)
IST Austria Authors
  1. Laleh Safari
    7 Safari