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Resolution functions of time‐of‐flight small‐angle neutron scattering instruments with rectangular apertures
Author(s) -
Grabcev B.
Publication year - 2007
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/s0021889806047868
Subject(s) - optics , physics , scattering , computational physics , small angle scattering , reciprocal lattice , neutron , small angle neutron scattering , resolution (logic) , momentum transfer , neutron scattering , space (punctuation) , nuclear physics , computer science , artificial intelligence , diffraction , operating system
Analytic forms are found for resolution functions of small‐angle neutron scattering instruments. The expressions are developed as a function of momentum transfer ( Q ) rather than separately in terms of neutron wavelength (λ) and scattering angle (θ). Effects caused by the gravitational field as well as by quasi‐elastic scattering are included. Explicit analytic forms for the transmission functions are proposed for both the incident and scattered beams, enabling careful analysis of any problem regarding small‐angle scattering experiments. Due to the reciprocal mathematical relationship between λ, θ and Q , [λ, θ] space is employed to approach different aspects of the topic. Applications to time‐of‐flight instruments with rectangular apertures, including the choice of the most convenient instrumental parameters, the analysis of smearing effects and the data reduction to Q space, are presented.