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
Materials Science
2024-10-14 v1
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.
Keywords
Cite
@article{arxiv.2410.08313,
title = {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},
author = {Jose A. Rodriguez-Rivera and Chris Stock},
journal= {arXiv preprint arXiv:2410.08313},
year = {2024}
}
Comments
17 pages, 8 figures