One-dimensional neutron diffraction from layered graphite: Reciprocal space structure and grating behavior
Phys. Rev. B 113, 184102 – Published 4 May, 2026
DOI: https://doi.org/10.1103/lkpv-2x71
Abstract
We report observations of one-dimensional neutron diffraction from highly oriented pyrolytic graphite (HOPG), where the scattering angle varies continuously with incident angle following classical grating-like behavior. The 2D polycrystalline structure of HOPG—with highly aligned layers along the axis but random in-plane rotations—creates planes of scattering intensity in reciprocal space at where is the interlayer spacing. As the Ewald sphere sweeps through reciprocal space during sample rotation, it continuously intersects these planes, producing the observed angular dispersion. We observe both first-order () and second-order () diffraction at conventional scattering angles (), with peak positions that remain temperature-independent between 10 K and 294 K and follow quantitative agreement with momentum conservation . X-ray diffraction under similar conditions shows no comparable behavior, confirming that sharp nuclear-vacuum contrast is essential. While diffraction intensities are weak ( of Bragg peaks), the observations demonstrate how the interplay of atomic-scale periodicity, nuclear contrast, and structural disorder enables observation of continuous diffraction curves at thermal neutron wavelengths, illustrating how HOPG's unique microstructure determines its scattering properties beyond conventional Bragg diffraction.