TY - JOUR A1 - Groitl, Felix A1 - Keller, Thomas A1 - Habicht, Klaus T1 - Generalized resolution matrix for neutron spin-echo three-axis spectrometers JF - Journal of applied crystallography N2 - This article describes the energy resolution of spin-echo three-axis spectrometers (SE-TASs) by a compact matrix formalism. SE-TASs allow one to measure the line widths of elementary excitations in crystals, such as phonons and magnons, with an energy resolution in the mu eV range. The resolution matrices derived here generalize prior work: (i) the formalism works for all crystal structures; (ii) spectrometer detuning effects are included; these arise typically from inaccurate knowledge of the excitation energy and group velocity; (iii) components of the gradient vector of the dispersion surface d omega/dq perpendicular to the scattering plane are properly treated; (iv) the curvature of the dispersion surface is easily calculated in reciprocal units; (v) the formalism permits analysis of spin-echo signals resulting from multiple excitation modes within the three-axis spectrometer resolution ellipsoid. KW - neutron spin-echo KW - neutron resonance spin-echo spectroscopy KW - resolution matrix KW - triple-axis spectroscopy Y1 - 2018 U6 - https://doi.org/10.1107/S1600576718005307 SN - 1600-5767 VL - 51 SP - 818 EP - 830 PB - International Union of Crystallography CY - Chester ER -