Analytical evaluation of atomic form factors: Application to Rayleigh scattering

Journal Article · Fri May 15 00:00:00 EDT 2015 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4921227· OSTI ID:22403141

Santos, J. P. ^[1]; Amaro, P. ^[1]; Jänkälä, K. ^[2]; Fratini, F. ^[2]

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1. Laboratório de Instrumentação, Engenharia Biomédica e Física da Radiação (LIBPhys-UNL), Departamento de Física, Faculdade de Ciências e Tecnologia, FCT, Universidade Nova de Lisboa, 2829-516 Caparica (Portugal)
2. Department of Physics, University of Oulu, Box 3000, FI-90014 Oulu (Finland)

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.

• OSTI ID: 22403141
• Journal Information: Journal of Mathematical Physics, Vol. 56, Issue 5; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL CROSS SECTIONS
FORM FACTORS
HARTREE-FOCK METHOD
RAYLEIGH SCATTERING
SINGLE-PARTICLE MODEL
WAVE FUNCTIONS