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    One-dimensional neutron diffraction from layered graphite: Reciprocal space structure and grating behavior

    David Vaknin

    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 c axis but random in-plane rotations—creates planes of scattering intensity in reciprocal space at Qc=n(2π/d) where d=3.35Å 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 (n=1) and second-order (n=2) diffraction at conventional scattering angles (25∘–70∘), with peak positions that remain temperature-independent between 10 K and 294 K and follow quantitative agreement with momentum conservation Qc=k[sinψ−sinψf]=n(2π/d). X-ray diffraction under similar conditions shows no comparable behavior, confirming that sharp nuclear-vacuum contrast is essential. While diffraction intensities are weak (∼10−6 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.

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