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Evaluation of incoherent scattering intensity by transmission and sample thickness
Author(s) -
Shibayama Mitsuhiro,
Matsunaga Takuro,
Nagao Michihiro
Publication year - 2009
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/s0021889809022456
Subject(s) - incoherent scatter , scattering , intensity (physics) , small angle neutron scattering , cross section (physics) , neutron scattering , optics , transmission (telecommunications) , hydrogen , chemistry , materials science , physics , molecular physics , quantum mechanics , electrical engineering , engineering
The H atom has a large incoherent scattering cross section and is a major source of incoherent scattering intensity, (dΣ/dΩ) inc , in small‐angle neutron scattering. By taking account of multiple scattering from H atoms, a useful method (the transmission method or T method) is proposed for the estimation of (dΣ/dΩ) inc for various types of hydrogen‐containing systems. The incoherent scattering intensity is calculated simply from the transmission, T , and the thickness of the sample, t , i.e. (dΣ/dΩ) inc ≅ [exp(Σ tot t ) − 1]/(4π t ) = (1 − T )/(4π t T ), where Σ tot ≡−(ln T )/ t is the macroscopic total cross section per unit volume. This method provides a reasonably accurate value of incoherent scattering intensity for various systems. The validity and the extent of applicability of the T method are examined for several samples, including light/heavy water mixtures, polymer gels and surfactant aqueous dispersions.