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REVIEW 3 major objections 4 minor 54 references

Bridging Grain Mapping and Dark Field X-ray Microscopy for Multiscale Diffraction Imaging

T0 review · 3 major / 4 minor · reviewed 2026-08-15 · deepseek-v4-flash

Pith's one-line read A transferable workflow turns grain maps from 3DXRD/DCT/LabDCT into goniometer settings for DFXM, imaging an iron polycrystal from millimetre aggregate to dislocations at 36 nm pixel size.

desk verdict A practical workflow paper whose core claim—reliable grain-map-to-DFXM coordinate targeting—cannot be checked from the abstract; it deserves peer review, pending a clear registration validation. read the letter →

arxiv 2508.17897 v1 pith:G3GSIR2F submitted 2025-08-25 physics.app-ph cond-mat.mtrl-sci

classification physics.app-phcond-mat.mtrl-sci
keywords darkfieldX-raymicroscopythree-dimensionaldiffractioncontrasttomographygrainmappinggoniometercalibrationmultiscaleimagingpolycrystallinematerialslatticedefects
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

The paper claims that the two main non-destructive X-ray approaches to polycrystalline materials—mesoscale grain mapping and nanoscale dark-field microscopy—can be joined into one workflow by computing the microscope's motor positions directly from the grain map's orientation and position data. The authors demonstrate this on an iron polycrystal with 1,100 grains, calculating DFXM goniometer settings for every grain in seconds and imaging selected grains from the millimetre scale down to individual lattice defects at 36 nm pixel size. The method is open-source and transferable across grain-mapping and DFXM platforms, so a grain indexed at low resolution can be re-imaged at high resolution without dismounting or reorienting the sample. A sympathetic reader would care because defect behaviour is usually studied either with grain context or with lattice resolution, not both on the same grain in one non-destructive pass.

What carries the argument

The load-bearing element is the rigid-body coordinate transformation between the grain-map frame and the DFXM goniometer frame: grain orientation is mapped to the diffraction condition while grain position is mapped to the translation and rotation stages, so every indexed grain yields a full motor prescription without a separate search or sample realignment. The open-source implementation is what makes the transformation transferable: the same code takes grain catalogues from different mapping methods and emits goniometer settings for different DFXM instruments, which is why the demonstration can move from LabDCT data to synchrotron and XFEL platforms.

What would settle it

Prepare a polycrystal with a known grain map and visible fiducial markers; compute DFXM settings, image a target grain, then remount the sample with a known rotation and repeat. If the target grain is missing or offset by more than the field of view, the rigid coordinate-link assumption fails. Alternatively, compare the measured centre of the imaged grain to the grain-map centroid across many grains; a systematic drift larger than the field of view would falsify the transferability claim.

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Extended reading notes

Core claim

The central claim is that grain maps and dark-field X-ray microscopy are complementary views of the same sample, and the missing link between them is a coordinate transformation small enough to compute in software. Given a set of grains with their orientations and centroids from 3DXRD, DCT, or LabDCT, the framework converts the grain data into goniometer angles and translations for DFXM, so the high-resolution beam can be aimed at any indexed grain on the fly. On an iron polycrystal containing 1,100 grains, motor positions for all grains were computed within seconds, and the workflow produced reproducible zoomed images from the aggregate down to dislocations, resolving three-dimensional misorientation fields across grain boundaries with 36 nm pixels. The same recipe is demonstrated for data transferred from LabDCT to synchrotron and XFEL instruments, making the workflow a general bridge rather than a single beamline calibration.

Load-bearing premise

The low-resolution grain map and the high-resolution microscope share a fixed, known coordinate system until the sample is remounted, so the computed motor settings place the intended grain inside the field of view.

Editorial extensions

If this is right

  • DFXM motor positions for all 1,100 grains were computed in seconds, allowing on-the-fly targeting of any grain rather than manual alignment.
  • The same sample can be imaged from millimetre-scale aggregate to individual dislocations without dismounting or reorienting, preserving the microstructural context.
  • Three-dimensional misorientation fields across grain boundaries were resolved at 36 nm pixel size, capturing grain-grain interactions directly in their surrounding microstructure.
  • The framework works with LabDCT data and is shown transferable to synchrotron and XFEL platforms, so the bridging step does not need to be reinvented per instrument.
  • Because the workflow is non-destructive and open-source, grain-targeted high-resolution follow-ups can be scheduled after a grain map instead of being coupled to one experiment.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The same coordinate recipe should work in reverse: high-resolution DFXM distortion fields could be used to correct or refine the low-resolution grain map, closing the loop between the two scales.
  • If the transform remains stable under sample rotation, the method opens a route to following one grain through in-situ deformation or heating, watching defects interact in the same place over time.
  • A practical benchmark for adoption would be a polycrystalline standard with etched fiducial markers; a user could measure the hit rate of computed motor positions against the marker positions on a variety of instruments.
  • The 36 nm pixel size makes dislocation-level features visible, so the framework could connect dislocation content to parent grain orientation and boundary character, a correlation mesoscale maps cannot provide on their own.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 4 minor

Summary. The paper presents an open-source software framework that converts grain orientation and position data from 3DXRD/DCT/LabDCT grain mapping into goniometer settings for dark-field X-ray microscopy (DFXM), enabling non-destructive zooming from the millimeter-scale aggregate to individual dislocations. The method is demonstrated on an iron polycrystal with 1100 grains, with DFXM images reported at 36 nm pixel size and motor positions calculated within seconds. The authors also claim transferability to synchrotron and XFEL platforms.

Significance. If the coordinate link between the grain map and the DFXM goniometer is shown to be reliable, this framework would be a genuinely useful contribution: it directly addresses the longstanding gap between mesoscale grain mapping and nanoscale lattice-defect imaging, and the open-source implementation is a strength. The concrete demonstration on a 1100-grain iron sample and the reported 36 nm pixel size are encouraging. However, the central claim hinges on a calibrated, rigid transformation that is not evidenced in the readable portions of the manuscript, so the significance cannot yet be fully assessed.

major comments (3)
  1. [Abstract and coordinate-transformation section] The abstract's claim that motor positions are computed 'without dismounting or reorienting the sample' requires a calibrated Euclidean transformation between the grain-map coordinate frame and the DFXM goniometer, with accuracy well below the high-magnification field of view and within the Bragg rocking-curve acceptance. Neither the abstract nor the readable fragments of the full text report how this transformation is established, what its uncertainty is, or whether per-grain confirmation was obtained that the computed motor positions actually produced diffraction from the intended grain. Please add a registration validation, for example using fiducial markers or by comparing the DFXM-derived grain orientation and location with the grain-map values for multiple grains, and quantify the success rate across the 1100 grains.
  2. [Abstract (resolution claim)] The statement '36 nm pixel size' is a sampling statement, not a resolution statement. The claim that misorientation fields are resolved across grain boundaries needs a resolution characterization (e.g., a sharp-edge or strain standard) and an uncertainty estimate for the misorientation values. Without this, the reader cannot judge whether the observed spatial gradients are actual features or artifacts of the imaging or registration process.
  3. [Abstract (validation and uncertainties)] The quantitative claims (1100 grains, seconds per calculation, 36 nm pixel size) appear without uncertainty estimates or comparisons to independent measurements. Please report the grain map's angular and positional uncertainties, propagate them through the goniometer-setting calculation, and provide an external validation of the final grain orientations against an independent technique or a known reference structure. This is load-bearing because a systematic Euler-angle or handedness error would not merely shift the image but would miss the Bragg condition entirely.
minor comments (4)
  1. [Full text] The supplied full text is severely OCR-corrupted and largely unreadable; please provide a clean, machine-readable version so that the equations, section numbers, and figure captions can be properly reviewed.
  2. [Equations and conventions] The visible equations are garbled; in the revised version, please explicitly define the coordinate systems, rotation conventions, and any Euler-angle parameterization used, so that the transformation is reproducible.
  3. [Transferability claims] The abstract states transferability to synchrotron and XFEL platforms, but the readable text does not describe what was actually tested at each platform. Please specify which steps were demonstrated at each facility and what differences in calibration were required.
  4. [Software and data availability] Please add a clear statement of the open-source license, repository location, and availability of the test datasets and calibration scripts, since the paper emphasizes an open-source framework.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: the grain-map-to-DFXM motor-position conversion is an open-loop coordinate transformation, not a fitted prediction.

full rationale

The paper's central workflow is a forward calculation: grain orientations and positions from 3DXRD/DCT/LabDCT are converted into DFXM goniometer settings using the known diffraction geometry and the Bragg condition. This is a coordinate transformation, not a statistical fit. No parameter is fitted to a subset of DFXM data and then used to 'predict' a closely related DFXM quantity; the grain-map inputs and the resulting motor positions are linked by construction, but the scientific claims—namely, that 1100 grains could be targeted and that 36 nm-pixel DFXM images resolve misorientation fields—are not derived from those same inputs. A targeting error would produce a failed or absent diffraction signal rather than a forced agreement, so the validation is not circular. No load-bearing step reduces by the paper's own equations to its inputs, and no self-citation chain is exhibited as the basis for the core claim. Concerns about coordinate-system calibration and sample drift are empirical correctness risks, not circularity under the stated review rules. Therefore the appropriate finding is no significant circularity, score 0.

Assumptions & free parameters 0 free parameters · 3 assumptions · 0 invented entities

No free parameters are disclosed in the abstract. A full review would need to inspect the alignment and calibration constants in the software, which are not visible. No new physical entities are introduced; the framework is a software and coordinate-transfer method.

assumptions (3)
  • domain assumption The sample stays mechanically fixed between the grain-mapping scan and the DFXM scan, preserving a rigid coordinate transformation.
    The claimed 'without dismounting or reorienting the sample' workflow depends on this rigidity. Stage drift, thermal expansion, or sample creep during the transfer would misassign high-resolution images to the wrong grain.
  • domain assumption The grain orientation and position data from 3DXRD/DCT/LabDCT are accurate enough to put each grain inside the DFXM field of view.
    These data are the sole input for the computed goniometer settings; indexing errors would direct the microscope to the wrong location. The abstract reports no error budget for this transfer.
  • domain assumption A 36 nm pixel-size DFXM image of a grain boundary represents the true lattice distortion field of that boundary, not an imaging artifact.
    The central demonstration of three-dimensional misorientation fields relies on interpreting DFXM contrast as lattice distortion. The abstract does not show comparisons with electron microscopy or other independent dislocation-imaging methods.

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Cite this review

Pith. "Pith review of Bridging Grain Mapping and Dark Field X-ray Microscopy for Multiscale Diffraction Imaging." pith.science (2026). https://pith.science/paper/G3GSIR2F

@misc{pith2026250817897,
  author       = {Pith},
  title        = {Pith review of: Bridging Grain Mapping and Dark Field X-ray Microscopy for Multiscale Diffraction Imaging},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/G3GSIR2F}},
  note         = {Machine review of arXiv:2508.17897}
}
read the original abstract

Resolving how defects emerge and interact within the hierarchical structure of polycrystalline materials remains a core challenge in materials science. Grain-mapping methods such as three-dimensional X-ray diffraction (3DXRD) and diffraction contrast tomography (DCT) provide essential mesoscale context but lack the resolution to image lattice defects. Conversely, high-resolution methods like Dark Field X-ray Microscopy (DFXM) capture lattice distortions but not the surrounding microstructure. Here, we introduce a transferable framework that unifies these complementary approaches into a single, non-destructive workflow. Enabled by open-source software, the method translates grain orientation and position data into precise goniometer settings for DFXM imaging without dismounting or reorienting the sample. Applied to an iron polycrystal containing 1100 grains, DFXM motor positions were calculated for all grains within seconds, enabling on-the-fly targeting of specific grains. This allows reproducible zooming from the millimetre-scale aggregate to individual dislocations. We resolve three-dimensional misorientation fields across grain boundaries with 36 nm pixel size, directly capturing grain-grain interactions within their microstructural context. Finally, we show transferability from LabDCT to synchrotron and XFEL platforms, enabling new ways of studying defect interactions across scales.

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Works this paper leans on

54 extracted references · 42 canonical work pages

  1. [1]

    author Poulsen, H. F. title Three-dimensional X-ray diffraction microscopy: mapping polycrystals and their dynamics , vol. volume 205 ( publisher Springer Science & Business Media , year 2004 )

  2. [2]

    author Schmidt, S. et al. journal title Watching the growth of bulk grains during recrystallization of deformed metals . Science volume 305 , pages 229--32 , 10.1126/science.1098627 ( year 2004 )

  3. [3]

    author Hefferan, C. M. e. a. journal title Observation of recovery and recrystallization in high-purity aluminum measured with forward modeling analysis of high-energy diffraction microscopy . Acta Mater. volume 60 , pages 4311--18 ( year 2012 )

  4. [4]

    , author Johnson, G

    author King, A. , author Johnson, G. , author Engelberg, D. , author Ludwig, W. & author Marrow, J. journal title Observations of intergranular stress corrosion cracking in a grain-mapped polycrystal . Science volume 321 , pages 382--385 ( year 2008 )

  5. [5]

    , author Yu, T

    author Sun, J. , author Yu, T. , author Xu, C. , author Ludwig, W. & author Zhang, Y. journal title 3d characterization of partially recrystallized al using high resolution diffraction contrast tomography . Scr. Mater. volume 157 , pages 72--75 ( year 2018 )

  6. [6]

    author Larson, B. C. , author Yang, W. , author Ice, G. E. , author Budai, J. D. & author Tischler, J. Z. journal title Three-dimensional X -ray structural microscopy with submicrometre resolution . Nature volume 415 , pages 887--890 , 10.1038/415887a ( year 2002 ). note Publisher: Nature Publishing Group

  7. [7]

    journal author Xu, C. et al. Sci. Rep. volume 7 , pages 1--7 ( year 2017 )

  8. [8]

    author Knipschildt-Okkels, E. et al. journal title Multimodal 3d quantification of particle stimulated nucleation in industrially manufactured aluminium aa5182 sheet . Acta Materialia volume 282 , pages 120446 ( year 2025 )

Show all 54 references
  1. [9]

    author Henningsson, A. et al. journal title Microstructure and stress mapping in 3d at industrially relevant degrees of plastic deformation . Scientific Reports volume 14 , pages 20213 ( year 2024 )

  2. [10]

    author Shukla, A. et al. journal title Grain boundary strain localization in a cdte solar cell revealed by scanning 3d x-ray diffraction microscopy . Journal of Materials Chemistry A volume 12 , pages 16793--16802 ( year 2024 )

  3. [11]

    , author Hirose, Y

    author Hayashi, Y. , author Hirose, Y. & author Seno, Y. journal title Polycrystal orientation mapping using scanning three-dimensional X-ray diffraction microscopy . Journal of Applied Crystallography volume 48 , pages 1094--1101 ( year 2015 )

  4. [12]

    author Henningsson, N. A. , author Hall, S. A. , author Wright, J. P. & author Hektor, J. journal title Reconstructing intragranular strain fields in polycrystalline materials from scanning 3DXRD data . Journal of Applied Crystallography volume 53 , pages 314--325 , 10.1107/S1...

  5. [13]

    & author Hendriks, J

    author Henningsson, A. & author Hendriks, J. journal title Intragranular strain estimation in far-field scanning X-ray diffraction using a Gaussian process . Journal of Applied Crystallography volume 54 , pages 1057--1070 , 10.1107/S1600576721005112 ( year 2021 )

  6. [14]

    author Frewein, M. et al. journal title Texture tomography, a versatile framework to study crystalline texture in 3d . arXiv preprint arXiv:2404.11195 ( year 2024 )

  7. [15]

    author Carlsen, M. et al. journal title X-ray tensor tomography for small-grained polycrystals with strong texture . Applied Crystallography volume 57 ( year 2024 )

  8. [16]

    author Hruszkewycz, S. O. et al. journal title High-resolution three-dimensional structural microscopy by single-angle bragg ptychography . Nature materials volume 16 , pages 244--251 ( year 2017 )

  9. [17]

    author Richard, M.-I. et al. journal title Bragg coherent diffraction imaging of single 20 nm pt particles at the id01-ebs beamline of esrf . Applied Crystallography volume 55 , pages 621--625 ( year 2022 )

  10. [18]

    author Simons, H. et al. journal title Dark field x-ray microscopy for multiscale structural characterization . Nat. Commun. volume 6 , pages 6098 , 10.1038/ncomms7098 ( year 2015 )

  11. [19]

    , author Cook, P

    author Yildirim, C. , author Cook, P. , author Detlefs, C. , author Simons, H. & author Poulsen, H. F. journal title Probing nanoscale structure and strain by dark-field x-ray microscopy . MRS Bulletin volume 45 , pages 277--282 ( year 2020 )

  12. [20]

    author Poulsen, H. F. et al. journal title X-ray diffraction microscopy based on refractive optics . J. Appl. Cryst. volume 50 , pages 1441 , 10.1107/S1600576717011037 ( year 2017 )

  13. [21]

    author Isern, H. et al. title The esrf dark-field x-ray microscope at id03 . In booktitle Journal of Physics: Conference Series , vol. volume 3010 , pages 012163 ( organization IOP Publishing , year 2025 )

  14. [22]

    author Zelenika, A. et al. journal title 3d microstructural and strain evolution during the early stages of tensile deformation . Acta Materialia volume 270 , pages 119838 ( year 2024 )

  15. [23]

    author Zelenika, A. et al. journal title Observing formation and evolution of dislocation cells during plastic deformation . Scientific Reports volume 15 , pages 8655 ( year 2025 )

  16. [24]

    author Yildirim, C. et al. journal title Extensive 3d mapping of dislocation structures in bulk aluminum . Scientific Reports volume 13 , pages 3834 ( year 2023 )

  17. [25]

    author Cretton, A. et al. journal title Observation of the formation and sharpening of geometrically necessary boundaries . Materials Research Letters 10.1080/21663831.2025.2511893 ( year 2025 ). note Publisher Copyright: 2025 The Author(s). Published by Informa UK Limited, tr...

  18. [26]

    author Dresselhaus-Marais, L. E. et al. journal title In situ visualization of long-range defect interactions at the edge of melting . Science Advances volume 7 , pages eabe8311 ( year 2021 )

  19. [27]

    author Ludwig, W. et al. journal title Three-dimensional imaging of crystal defects by `topo-tomography' . J. Appl. Crystallogr. volume 34 , pages 602--607 , 10.1107/S002188980101086X ( year 2001 )

  20. [28]

    author Yildirim, C. et al. journal title Pink-beam dark field x-ray microscopy: Expanding 3d/4d imaging for complex and deformed microstructures . arXiv preprint arXiv:2503.05921 ( year 2025 )

  21. [29]

    author Detlefs, C. et al. journal title Oblique diffraction geometry for the observation of several non-coplanar Bragg reflections under identical illumination . Journal of Applied Crystallography volume 58 , pages 1439--1446 , 10.1107/S1600576725005862 ( year 2025 )

  22. [30]

    , author Borgi, S

    author Henningsson, A. , author Borgi, S. , author Winther, G. , author El-Azab, A. & author Poulsen, H. F. journal title Towards interfacing dark-field x-ray microscopy to dislocation dynamics modeling . Journal of the Mechanics and Physics of Solids volume 204 , pages 106277...

  23. [31]

    author Gustafson, S. et al. journal title Quantifying microscale drivers for fatigue failure via coupled synchrotron x-ray characterization and simulations . Nature communications volume 11 , pages 3189 ( year 2020 )

  24. [32]

    author Gustafson, S. E. et al. journal title Revealing 3d intragranular micromechanical fields at triple junctions . Acta Materialia volume 260 , pages 119300 ( year 2023 )

  25. [33]

    author Ludwig, W. et al. journal title Three-dimensional grain mapping by x-ray diffraction contrast tomography and the use of friedel pairs in diffraction data analysis . Review of Scientific Instruments volume 80 , pages 033905 , 10.1063/1.3100200 ( year 2009 ). https://pubs...

  26. [34]

    author Oh, S. et al. journal title Taking three-dimensional x-ray diffraction (3dxrd) from the synchrotron to the laboratory scale . Nature Communications volume 16 , pages 3964 ( year 2025 )

  27. [35]

    author Dresselhaus-Marais, L. E. et al. journal title Simultaneous bright-and dark-field x-ray microscopy at x-ray free electron lasers . Scientific Reports volume 13 , pages 17573 ( year 2023 )

  28. [36]

    author Zhang, Y. et al. journal title Local residual stresses and microstructure within recrystallizing grains in iron . Materials Characterization volume 191 , pages 112113 ( year 2022 )

  29. [37]

    author Zhang, J. et al. journal title Grain boundary mobilities in polycrystals . Acta Materialia volume 191 , pages 211--220 ( year 2020 )

  30. [38]

    author Lee, S. et al. journal title Three-dimensional nucleation and growth of deformation twins in magnesium . Science volume 389 , pages 632--636 ( year 2025 )

  31. [39]

    author Ferrer, J. G. et al. journal title darfix: Data analysis for dark-field x-ray microscopy . arXiv:2205.05494 ( year 2022 )

  32. [40]

    author Ahl, S. R. et al. journal title Ultra-low-angle boundary networks within recrystallizing grains . Scripta Mater. volume 139 , pages 87--91 , 10.1016/j.scriptamat.2017.06.016 ( year 2017 )

  33. [41]

    , author Winther, G

    author Borgi, S. , author Winther, G. & author Poulsen, H. F. journal title Individual dislocation identification in dark-field X-ray microscopy . Journal of Applied Crystallography volume 58 , pages 813--821 , 10.1107/S1600576725002614 ( year 2025 )

  34. [42]

    author Després, A. et al. journal title Elastic strain mapping of plastically deformed materials by tem . Ultramicroscopy volume 265 , pages 114010 , ://doi.org/10.1016/j.ultramic.2024.114010 ( year 2024 )

  35. [43]

    , author Atkinson, M

    author Harte, A. , author Atkinson, M. , author Preuss, M. & author Quinta da Fonseca , J. journal title A statistical study of the relationship between plastic strain and lattice misorientation on the surface of a deformed ni-based superalloy . Acta Materialia volume 195 , pa...

  36. [44]

    author Ratanaphan, S. et al. journal title Grain boundary energies in body-centered cubic metals . Acta Materialia volume 88 , pages 346--354 , ://doi.org/10.1016/j.actamat.2015.01.069 ( year 2015 )

  37. [45]

    author Higgins, M. J. et al. journal title Anomalous strain-energy-driven macroscale translation of grains during nonisothermal annealing . Phys. Rev. Mater. volume 5 , pages L070401 , 10.1103/PhysRevMaterials.5.L070401 ( year 2021 )

  38. [46]

    author Zhang, Y. et al. journal title Laboratory three-dimensional x-ray micro-beam laue diffraction . arXiv preprint arXiv:2504.07452 ( year 2025 )

  39. [47]

    author Detlefs, C. et al. journal title Oblique diffraction geometry for the observation of several non-coplanar bragg reflections under identical illumination . arXiv preprint arXiv:2504.08566 ( year 2025 )

  40. [48]

    author Ball, J. A. D. et al. journal title Revealing per-grain and neighbourhood stress interactions of a deforming ferritic steel via three-dimensional X -ray diffraction . Communications Materials volume 5 , pages 27 , 10.1038/s43246-024-00466-8 ( year 2024 ). note Publisher...

  41. [49]

    author Ball, J. A. et al. journal title Grain-level effects on in-situ deformation-induced phase transformations in a complex-phase steel using 3dxrd and ebsd . Acta Materialia volume 265 , pages 119608 , ://doi.org/10.1016/j.actamat.2023.119608 ( year 2024 )

  42. [50]

    & author Ludwig, W

    author Fang, H. & author Ludwig, W. journal title Forward-model-based grain reconstruction to improve the tolerance of diffraction contrast tomography for increased sample deformation . Journal of Applied Crystallography volume 58 , pages 796--812 , 10.1107/S160057672500250X (...

  43. [51]

    , author Juul Jensen, D

    author Fang, H. , author Juul Jensen, D. & author Zhang, Y. journal title A flexible and standalone forward simulation model for laboratory X-ray diffraction contrast tomography . Acta Crystallographica Section A volume 76 , pages 652--663 , 10.1107/S2053273320010852 ( year 2020 )

  44. [52]

    , author Fang, H

    author Lindkvist, A. , author Fang, H. , author Juul Jensen, D. & author Zhang, Y. journal title Optimizing laboratory X-ray diffraction contrast tomography for grain structure characterization of pure iron . Journal of Applied Crystallography volume 54 , pages 99--110 , 10.11...

  45. [53]

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Reviewed August 15, 2026 · model on record in the stance chip above.