Analytical evaluation of atomic form factors: Application to Rayleigh scattering

L. Safari, J. P. Santos, P. Amaro, K. Jankala, F. Fratini

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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. (C) 2015 AIP Publishing LLC.

Original languageEnglish
Article number052105
JournalJournal Of Mathematical Physics
Volume56
Issue number5
DOIs
Publication statusPublished - May 2015

Keywords

  • SLATER-TYPE ORBITALS
  • X-RAY-SCATTERING
  • ELASTIC-SCATTERING
  • GAMMA-RAYS
  • LAGUERRE-POLYNOMIALS
  • SCREENING CONSTANTS
  • COHERENT SCATTERING
  • MOMENTUM-TRANSFER
  • CROSS-SECTIONS
  • SCF FUNCTIONS

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