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Evaluation of incoherent scattering intensity by transmission and sample thickness

2009/06/29 by Mitsuhiro Shibayama, Takuro Matsunaga, Michihiro Nagao · 1 citation
Materials Science · Physics and Astronomy · Chemistry · #X-ray Diffraction in Crystallography #Nuclear Physics and Applications #Advanced NMR Techniques and Applications

paper · doi:10.1107/s0021889809022456

Abstract

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.

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