paper

Neutron absorption correction and mean path length calculations for multiple samples with arbitrary shapes -- applications to highly absorbing samples on the Multi-Axis Crystal Spectrometer at NIST

arXiv:2410.08313

Abstract

The finite volume algorithm for absorption correction developed by Wunch and Prewitt is examined. This algorithm is based on the numerical integration of the transmission function where three-dimensional quadratic surfaces define the sample boundaries. The algorithm can also calculate the mean path length required for second-extinction calculations. We apply this method to the neutron inelastic scattering measurements of CeRhIn using the Multi-Axis Crystal Spectrometer (MACS) at NIST. The algorithm has been expanded to correct the absorption of multiple coaligned samples. We show that this procedure can account for the angular-dependent absorption, and the technique can be used to correct data and plan experiments.

17 pages, 8 figures

Neutron absorption correction and mean path length calculations for multiple samples with arbitrary shapes -- applications to highly absorbing samples on the Multi-Axis Crystal Spectrometer at NIST · wovepaper