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Empirical equations for atomic form factor and incoherent scattering functions
Author(s) -
Szalóki Imre
Publication year - 1996
Publication title -
x‐ray spectrometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 45
eISSN - 1097-4539
pISSN - 0049-8246
DOI - 10.1002/(sici)1097-4539(199601)25:1<21::aid-xrs132>3.0.co;2-s
Subject(s) - form factor (electronics) , range (aeronautics) , incoherent scatter , scattering , exponential function , momentum transfer , structure factor , mathematics , physics , function (biology) , computational physics , statistical physics , statistics , mathematical analysis , optics , quantum mechanics , materials science , condensed matter physics , evolutionary biology , composite material , biology
An accurate fitting of linear combinations of exponential functions was carried out to Hubbell's tabulated data of atomic form factor and incoherent scattering functions of all ( Z = 1−100) elements. The validity range of momentum transfer for form factor is varied from q 1 = 0 Å −1 to q 2 = 15 Å −1 and no limitation for the incoherent scattering function is required. The number of applied parameters is seven except for elements Z = 1 − 7 for the form factor. In order to achieve low deviations between Hubbell's data and fitted values, the range of q was divided into two and three parts. The average deviations are within 1 − 2%.