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The resolution function in neutron spin‐echo spectroscopy with three‐axis spectrometers
Author(s) -
Habicht Klaus,
Keller Thomas,
Golub Robert
Publication year - 2003
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/s0021889803015681
Subject(s) - spectrometer , neutron spin echo , resolution (logic) , physics , neutron , mosaicity , optics , spectroscopy , neutron spectroscopy , inelastic neutron scattering , computational physics , nuclear magnetic resonance , neutron scattering , diffraction , nuclear physics , computer science , x ray crystallography , quantum mechanics , artificial intelligence
A resolution function for inelastic neutron spin‐echo spectroscopy on a three‐axis spectrometer is derived. Inelastic dispersive excitations where the tilted field technique applies are being considered. Using a Gaussian approximation of the transmission function of the three‐axis spectrometer and a second‐order expansion of the total Larmor phase, the instrumental resolution function of an idealized spin‐echo instrument is obtained. Furthermore, the resolution function is extended to include the effects of sample properties, such as mosaicity, spread in lattice spacings and the curvature of the four‐dimensional dispersion surface in a line‐width measurement.