Schematic view of the modeling of coherent diffraction of a beam of hydrogen atoms through a sheet of graphene.
Schematic view of the modeling of coherent diffraction of a beam of hydrogen atoms through a sheet of graphene. © Pierre Guichard et al., 2025 American Physical Society

Hydrogen atoms reveal interactions at the atomic scale in graphene

Scientific news

Physicists have succeeded in observing diffraction patterns of unprecedented quality by passing fast hydrogen atoms through a sheet of graphene just one atom thick, an experimental and theoretical breakthrough that opens up new perspectives for the study of two-dimensional materials and surface spectroscopy.

References :

Fast Hydrogen Atom Diffraction through Monocrystalline Graphene, Pierre Guichard, Arnaud Dochain, Raphaël Marion, Pauline de Crombrugghe de Picquendaele, Nicolas Lejeune, Benoît Hackens, Paul-Antoine Hervieux, Xavier Urbain, Physical Review Letters 135, 263403 – Published 23 December, 2025.
DOI: 10.1103/wdx6-mrvm
Open access: arXiv

Diffraction, the general tendency of waves to spread out in different directions when passing through an aperture or obstacle, is a well-known phenomenon that affects electromagnetic waves such as visible light and X-rays, among others. Due to their wave nature (predicted by Louis de Broglie in 1923), particles with mass are also susceptible to diffraction, and the first observation of such a phenomenon dates back to 1927 with the diffraction of electrons by metal foils (Thomson and Davisson experiments). In principle, this quantum diffraction also occurs for composite particles (such as the hydrogen atom, composed of a proton and an electron) passing through a material, but observing it represents a significant experimental challenge. When passing through a surface, atoms tend to lose their wave coherence, which erases the diffraction patterns.

The present study was carried out in the following CNRS laboratory:

  • Institut de physique et chimie des matériaux de Strasbourg (IPCMS, CNRS/Université de Strasbourg)

In a recent study, French and Belgian researchers overcame this difficulty by using very fast hydrogen atoms to probe a suspended graphene monolayer, which had previously been heat-treated to remove impurities and defects, thus preserving the coherence of the atomic beam and the resulting diffraction pattern (see figure below).

Vue schématique de la diffraction cohérente d'un faisceau d'atomes d'hydrogène (H⁰) à travers une feuille de graphène.
Figure : Schematic view of the coherent diffraction of a beam of hydrogen atoms (H⁰) through a sheet of graphene. The H⁰ atoms all move in the same direction and pass through a monolayer of graphene, a material formed of carbon atoms arranged in hexagonal patterns. At the top right, we see the pattern obtained on a screen when the beam is diffracted by the periodic structure of graphene. At the top left, the diagram shows the intensity of the interaction between a hydrogen atom and a portion of the integrated surface along the z-direction. At the bottom right, the electron clouds of an incident H⁰ and a portion of the graphene surface are shown: they deform as they approach each other due to their mutual interaction. © Pierre Guichard et al., 2025 American Physical Society

The experiments yielded particularly sharp hexagonal diffraction patterns, direct signatures of the crystalline structure of graphene, and well-defined single-crystal domains. Time-of-flight analysis also made it possible to clearly distinguish elastic scattering events from inelastic processes, further improving the quality of the diffraction images. Comparison between the experimental data and various theoretical models shows that only advanced ab initio calculations based on density functional theory are able to accurately reproduce the observed intensities. The fact that simpler models fail to correctly describe the interaction between the hydrogen atom and the carbon lattice is in itself a major result: it demonstrates that the diffraction of neutral atoms through graphene is an exceptionally sensitive probe of the fine details of interactions at the atomic scale.

Ultimately, this approach could be used to study the effect of defects, mechanical stresses or chemical modifications in two-dimensional materials. It also paves the way for a new form of surface spectroscopy based on the use of neutral atoms, as well as applications in matter interferometry and fundamental physics. These results are published in the Physical Review Letters.

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Paul-Antoine Hervieux
Enseignant-chercheur de l'Université de Strasbourg à l'Institut de physique et chimie des matériaux de Strasbourg (IPCMS)
Communication CNRS Physique