Abstract
We present a detailed description of the spectral resolution of the TOSCA spectrometer at the ISIS Neutron and Muon Source. We compare an analytical model of the resolution, a numerical model based on ray-tracing simulations and experimental data derived from measurements of the 2,5-diiodothiophene standard. The analytical description is derived by error propagation on the energy transfer equation and accurately accounts for the dimensions of each of the component of the instrument and their neutron scattering or absorption depth-profiles. We obtain excellent agreement between the analytical and numerical descriptions for the ideal time-focusing geometry of TOSCA and also between the simulations of a more realistic model of the instrument and the experimental data. This study provides several insights into the critical contributions to the instrument performance that are directly useful for the proposed upgrade of TOSCA, but also relevant for other broad-band crystal-analyser spectrometers.
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