Peering into the Hidden Defects of Crystals in 3D

The performance of functional materials is intimately linked to their internal structure — the size and shape of grains, the arrangement of grain boundaries, and the presence of defects. Yet, until now, fully resolving these features in three dimensions without destroying the sample has been a significant challenge. 

With X-ray linear dichroic orientation tomography (XL-DOT), we introduce a non-invasive method for mapping both the composition and orientation of crystals at the nanoscale using synchrotron X-rays. By exploiting the sensitivity of X-ray linear dichroism [1] to local bond orientation, our approach delivers quantitative 3D reconstructions of polycrystalline and non-crystalline materials [1,2], shown schematically in Figure 1.

Fig 1. XL-DOT schematic
Fig 1. a, Schematic of the XL-DOT setup showing tomographic data collection using synchrotron X-ray ptychography with linearly horizontal (↔) and vertical (↕) polarized illumination. The polycrystalline V₂O₅ sample was scanned in the x–y plane under overlapping focused X-rays shaped by a Fresnel zone plate with aberrations, and phase and amplitude projections were reconstructed from diffraction patterns. A diamond phase plate controlled polarization, and with four tilt angles it was possible to resolve the crystallographic c-axis components. The inset shows an SEM image of the sample. b, Example of X-ray linear dichroism from two V₂O₅ grains (green and blue), where transmission depends on the orientation between the Vanadyl bond and the polarization vector. c, Phase-contrast projection acquired with LH polarization. d, Dichroic difference image between LHand LV projections, revealing electronic and phase-contrast variations. Scale bars, 4 μm.

Mapping V2Ocatalyst in 3D

We demonstrated XL-DOT on nanoporous vanadium pentoxide (V₂O₅), a material of high industrial importance as a catalyst. With a spatial resolution in 3D of just 73 nanometres, we were able to differentiate individual grains, determine their crystallographic orientation, and distinguish between single-crystalline and polycrystalline regions that appear identical in conventional tomography.

The reconstructions revealed a rich assortment of grain shapes, with elongated single crystals spanning micrometres and smaller nearly spherical grains clustered in dense regions, and clear correlations between size and morphology. Importantly, XL-DOT allows us to identify grain boundaries with misorientation angles down to approximately 10°C, providing detailed insights into the microstructural fabric of the material.

Visualizing crystallographic and topological defects

Beyond grains and boundaries, our method reveals intricate defect structures within the crystal lattice. We resolved twist, tilt, and twin boundaries as well as more exotic topological defects, including comet and trefoil configurations. We could track their creation, motion, and annihilation through the sample in the presence of structural voids, obtaining important insights into how defects evolve during material processing. 

Importantly, XL-DOT is not limited to vanadium oxides — it can also be applied to a broad class of materials that exhibit linear dichroism, including antiferromagnets and ferroelectrics. These materials are of particular interest for low-power-consumption, next-generation electronic devices, where controlling magnetic and electric order at the nanoscale is key.

Towards operando 3D imaging

Bridging the gap between high-resolution electron microscopy and lower-resolution X-ray techniques, XL-DOT enables the non-destructive nanoscale 3D characterisation of sample volumes that are large enough to be representative of the material under investigation. The spectroscopic nature of XL-DOT opens exciting opportunities for operando experiments, where both composition and microstructure can be tracked under changing temperature or chemical conditions.

With the next generation of synchrotron sources, even higher spatial resolutions and faster acquisition times are expected to be achieved. This will extend XL-DOT to a wide range of crystalline, magnetoelectronic, and soft materials, advancing our ability to link nanoscale structure to macroscopic function.

References

  1. X-ray linear dichroic tomography of crystallographic and topological defects
    A. Apseros, V. Scagnoli, M. Holler, M. , Guizar-Sicairos, Z. Gao, C. Appel, L.J. Heyderman, C. Donnelly, J. Ihli, external page Nature 636.8042 (2024).
  2. X-ray linear dichroic orientation tomography: reconstruction of nanoscale three-dimensional orientation fields
    A.Apseros, V. Scagnoli, M. Guizar-Sicairos, L.J. Heyderman, J. Ihli, C. Donnelly, external page New Journal of Physics 27,103902 (2025).
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