---
_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'
...