1962
DOI: 10.1063/1.1729034
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Numerical Evaluation of X-Ray Absorption Factors for Cylindrical Samples and Annular Sample Cells

Abstract: An analysis is presented for the absorption corrections necessary for the x-ray analysis of diffraction data from a liquid sample confined within a cylindrical sample cell. The evaluation of necessary absorption integrals has been formulated in a numerical calculus procedure appropriate for a digital computer. The procedure has been verified against previous graphical computations.

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Cited by 556 publications
(225 citation statements)
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“…To extract the structure factor, S(q), standard procedures were applied for the measured intensity, including corrections for the self-absorption [13], the multiple scattering [14], the inelasticity [15] and the incoherent scattering [16]. The normalization was completed by using the data of a vanadium rod measured in the similar manner as the sample.…”
Section: Methodsmentioning
confidence: 99%
“…To extract the structure factor, S(q), standard procedures were applied for the measured intensity, including corrections for the self-absorption [13], the multiple scattering [14], the inelasticity [15] and the incoherent scattering [16]. The normalization was completed by using the data of a vanadium rod measured in the similar manner as the sample.…”
Section: Methodsmentioning
confidence: 99%
“…Neutron real space data were processed by regrouping repeated scans of the D4c detectors over the available range of scattering angles in the reciprocal space. For each sample, empty container and sample environment contributions were subtracted from the raw data, taking into account absorption effects [28] as well as the incoherent-scattering contribution. A standard multiple-scattering [29] and Placzeck [30] corrections were applied.…”
Section: Real Space Analysismentioning
confidence: 99%
“…The scattered intensity was measured with the interval of 0.5 and 1 nm Ϫ1 , respectively for QϽ60 nm Ϫ1 and for Q Ͼ60 nm Ϫ1 . The counting time of scattered neutrons was typically 8 -12 h. Neutron scattering intensities were converted into the structure factor, S(Q), by using standard procedures, which includes subtraction of cell intensities, corrections for absorption, 44 multiple scattering effect, 45 and inelastic effect.…”
Section: Neutron Scattering Experimentsmentioning
confidence: 99%