- By:
- Huang, Guan-Rong; Tung, Chi-Huan ; Chen, Pengwen; Rother, Gernot ; Shang, Yingrui ; Gao, Yang ; Everett, Susan M; Berry, Kevin D; Mellard, Steven C; Wang, Yangyang ; Shinohara, Yuya ; Do, Changwoo ; Chen, Wei-Ren
- Journal Name:
- Journal of Applied Crystallography
- Page Number:
- 1083-1093
- Volume:
- 59
- Issue Number:
- 4
- Publication Date:
- August 18, 2026
- View DOI Listing:
- https://doi.org/10.1107/S1600576726004693
Abstract
A non-iterative analytical framework based on the truncated Abel inversion is developed for desmearing Bonse–Hart ultra-small-angle neutron scattering (USANS) data. The method directly inverts the slit-averaged intensity without empirical extrapolation or iterative regularization, establishing a closed-form relationship between the measured and intrinsic scattering profiles. Numerical benchmarks on representative models, including a rigid-line form factor, a Lorentzian function and a fractal structural model, demonstrate quantitative recovery of the ground-truth intensity across the full Q range. Application to a deuterated polystyrene/poly(2-vinylpyridine) blend further confirms that the approach yields smooth continuous profiles consistent with companion small-angle neutron scattering data. The truncated Abel inversion thus provides a stable, model-independent and physically transparent route for accurate desmearing of Bonse–Hart USANS measurements.
