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Scattering intensity limit value at very small angles
Author(s) -
Ciccariello Salvino
Publication year - 2017
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s1600576717002576
Subject(s) - scattering , intensity (physics) , limit (mathematics) , physics , constant (computer programming) , homogeneous , scattering length , computational physics , optics , condensed matter physics , mathematics , mathematical analysis , statistical physics , computer science , programming language
The existence of a limit of the sample scattering intensity, as the scattering vector approaches zero, requires and is ensured by the property that the mean value of the scattering density fluctuation over a volume V behaves asymptotically, at large V , as ν V −1/2 , ν being an appropriate constant. The limit of the normalized scattering intensity is then equal to ν 2 . The implications of this result are also analysed in the case of samples made up of two homogeneous phases.