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Liehr A, Dingel K, Kottke D, Degener S, Meier D, Sick B, Niendorf T. Data selection strategies for minimizing measurement time in materials characterization. Sci Rep 2025; 15:15182. [PMID: 40307271 DOI: 10.1038/s41598-025-96221-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/26/2024] [Accepted: 03/24/2025] [Indexed: 05/02/2025] Open
Abstract
Every new material needs to be assessed and qualified for an envisaged application. A steadily increasing number of new alloys, designed to address challenges in terms of reliability and sustainability, poses significant demands on well-known analysis methods in terms of their efficiency, e.g., in X-ray diffraction analysis. Particularly in laboratory measurements, where the intensities in diffraction experiments tend to be low, a possibility to adapt the exposure time to the prevailing boundary conditions, i.e., the investigated microstructure, is seen to be a very effective approach. The counting time is decisive for, e.g., complex texture, phase, and residual stress measurements. Traditionally, more measurement points and, thus, longer data collection times lead to more accurate information. Here, too short counting times result in poor signal-to-background ratios and dominant signal noise, respectively, rendering subsequent evaluation more difficult or even impossible. Then, it is necessary to repeat experiments with adjusted, usually significantly longer counting time. To prevent redundant measurements, it is state-of-the-art to always consider the entire measurement range, regardless of whether the investigated points are relevant and contribute to the subsequent materials characterization, respectively. Obviously, this kind of approach is extremely time-consuming and, eventually, not efficient. The present study highlights that specific selection strategies, taking into account the prevailing microstructure of the alloy in focus, can decrease counting times in X-ray energy dispersive diffraction experiments without any detrimental effect on data quality for the subsequent analysis. All relevant data, including the code, are carefully assessed and will be the basis for a widely adapted strategy enabling efficient measurements not only in lab environments but also in large-scale facilities.
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Affiliation(s)
- Alexander Liehr
- Institute of Materials Engineering, University of Kassel, Moenchebergstr. 3, 34125, Kassel, Germany.
| | - Kristina Dingel
- Intelligent Embedded Systems, University of Kassel, Wilhelmshöher Allee 71-73, 34121, Kassel, Germany
| | - Daniel Kottke
- Intelligent Embedded Systems, University of Kassel, Wilhelmshöher Allee 71-73, 34121, Kassel, Germany
| | - Sebastian Degener
- Bundesanstalt für Materialforschung und -prüfung, Unter den Eichen 87, 12205, Berlin, Germany
| | - David Meier
- Intelligent Embedded Systems, University of Kassel, Wilhelmshöher Allee 71-73, 34121, Kassel, Germany
- Helmholtz-Zentrum für Materialien und Energie, Hahn-Meitner-Platz 1, 14109, Berlin, Germany
| | - Bernhard Sick
- Intelligent Embedded Systems, University of Kassel, Wilhelmshöher Allee 71-73, 34121, Kassel, Germany
| | - Thomas Niendorf
- Institute of Materials Engineering, University of Kassel, Moenchebergstr. 3, 34125, Kassel, Germany
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Völter C, Starostin V, Lapkin D, Munteanu V, Romodin M, Hylinski M, Gerlach A, Hinderhofer A, Schreiber F. Benchmarking deep learning for automated peak detection on GIWAXS data. J Appl Crystallogr 2025; 58:513-522. [PMID: 40170972 PMCID: PMC11957406 DOI: 10.1107/s1600576725000974] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/02/2024] [Accepted: 02/03/2025] [Indexed: 04/03/2025] Open
Abstract
Recent advancements in X-ray sources and detectors have dramatically increased data generation, leading to a greater demand for automated data processing. This is particularly relevant for real-time grazing-incidence wide-angle X-ray scattering (GIWAXS) experiments which can produce hundreds of thousands of diffraction images in a single day at a synchrotron beamline. Deep learning (DL)-based peak-detection techniques are becoming prominent in this field, but rigorous benchmarking is essential to evaluate their reliability, identify potential problems, explore avenues for improvement and build confidence among researchers for seamless integration into their workflows. However, the systematic evaluation of these techniques has been hampered by the lack of annotated GIWAXS datasets, standardized metrics and baseline models. To address these challenges, we introduce a comprehensive framework comprising an annotated experimental dataset, physics-informed metrics adapted to the GIWAXS geometry and a competitive baseline - a classical, non-DL peak-detection algorithm optimized on our dataset. Furthermore, we apply our framework to benchmark a recent DL solution trained on simulated data and discover its superior performance compared with our baseline. This analysis not only highlights the effectiveness of DL methods for identifying diffraction peaks but also provides insights for further development of these solutions.
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Affiliation(s)
- Constantin Völter
- Institute of Applied Physics – University of TübingenAuf der Morgenstelle 1072076TübingenGermany
| | - Vladimir Starostin
- Cluster of Excellence ‘Machine learning – new perspectives for science’University of TübingenMaria-von-Linden-Straße 672076TübingenGermany
| | - Dmitry Lapkin
- Institute of Applied Physics – University of TübingenAuf der Morgenstelle 1072076TübingenGermany
| | - Valentin Munteanu
- Institute of Applied Physics – University of TübingenAuf der Morgenstelle 1072076TübingenGermany
| | - Mikhail Romodin
- Institute of Applied Physics – University of TübingenAuf der Morgenstelle 1072076TübingenGermany
| | - Maik Hylinski
- Institute of Applied Physics – University of TübingenAuf der Morgenstelle 1072076TübingenGermany
| | - Alexander Gerlach
- Institute of Applied Physics – University of TübingenAuf der Morgenstelle 1072076TübingenGermany
| | - Alexander Hinderhofer
- Institute of Applied Physics – University of TübingenAuf der Morgenstelle 1072076TübingenGermany
| | - Frank Schreiber
- Institute of Applied Physics – University of TübingenAuf der Morgenstelle 1072076TübingenGermany
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Starostin V, Dax M, Gerlach A, Hinderhofer A, Tejero-Cantero Á, Schreiber F. Fast and reliable probabilistic reflectometry inversion with prior-amortized neural posterior estimation. SCIENCE ADVANCES 2025; 11:eadr9668. [PMID: 40085716 DOI: 10.1126/sciadv.adr9668] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/26/2024] [Accepted: 02/06/2025] [Indexed: 03/16/2025]
Abstract
Reconstructing the structure of thin films and multilayers from measurements of scattered x-rays or neutrons is key to progress in physics, chemistry, and biology. However, finding all structures compatible with reflectometry data is computationally prohibitive for standard algorithms, which typically results in unreliable analysis with only a single potential solution identified. We address this lack of reliability with a probabilistic deep learning method that identifies all realistic structures in seconds, redefining standards in reflectometry. Our method, prior-amortized neural posterior estimation (PANPE), combines simulation-based inference with adaptive priors that inform the inference network about known structural properties and controllable experimental conditions. PANPE networks support key scenarios such as high-throughput sample characterization, real-time monitoring of evolving structures, or the corefinement of several experimental datasets and can be adapted to provide fast, reliable, and flexible inference across many other inverse problems.
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Affiliation(s)
- Vladimir Starostin
- Cluster of Excellence Machine Learning for Science, University of Tübingen, Tübingen, Germany
| | - Maximilian Dax
- Max Planck Institute for Intelligent Systems, Tübingen, Germany
| | - Alexander Gerlach
- Institute of Applied Physics, University of Tübingen, Tübingen, Germany
| | | | - Álvaro Tejero-Cantero
- Cluster of Excellence Machine Learning for Science, University of Tübingen, Tübingen, Germany
| | - Frank Schreiber
- Institute of Applied Physics, University of Tübingen, Tübingen, Germany
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Schumi-Mareček D, Bertram F, Mikulík P, Varshney D, Novák J, Kowarik S. Millisecond X-ray reflectometry and neural network analysis: unveiling fast processes in spin coating. J Appl Crystallogr 2024; 57:314-323. [PMID: 38596729 PMCID: PMC11001405 DOI: 10.1107/s1600576724001171] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/21/2023] [Accepted: 02/03/2024] [Indexed: 04/11/2024] Open
Abstract
X-ray reflectometry (XRR) is a powerful tool for probing the structural characteristics of nanoscale films and layered structures, which is an important field of nanotechnology and is often used in semiconductor and optics manufacturing. This study introduces a novel approach for conducting quantitative high-resolution millisecond monochromatic XRR measurements. This is an order of magnitude faster than in previously published work. Quick XRR (qXRR) enables real time and in situ monitoring of nanoscale processes such as thin film formation during spin coating. A record qXRR acquisition time of 1.4 ms is demonstrated for a static gold thin film on a silicon sample. As a second example of this novel approach, dynamic in situ measurements are performed during PMMA spin coating onto silicon wafers and fast fitting of XRR curves using machine learning is demonstrated. This investigation primarily focuses on the evolution of film structure and surface morphology, resolving for the first time with qXRR the initial film thinning via mass transport and also shedding light on later thinning via solvent evaporation. This innovative millisecond qXRR technique is of significance for in situ studies of thin film deposition. It addresses the challenge of following intrinsically fast processes, such as thin film growth of high deposition rate or spin coating. Beyond thin film growth processes, millisecond XRR has implications for resolving fast structural changes such as photostriction or diffusion processes.
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Affiliation(s)
- David Schumi-Mareček
- Physikalische Chemie, Graz University, Heinrichstraße 28, Graz, Steiermark 8010, Austria
| | - Florian Bertram
- Deutsche Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
| | - Petr Mikulík
- Department of Condensed Matter Physics, Faculty of Science, Masaryk University, Kotlářská 2, Brno 61137, Czechia
| | - Devanshu Varshney
- Department of Condensed Matter Physics, Faculty of Science, Masaryk University, Kotlářská 2, Brno 61137, Czechia
| | - Jiří Novák
- Department of Condensed Matter Physics, Faculty of Science, Masaryk University, Kotlářská 2, Brno 61137, Czechia
- Central European Institute of Technology, Purkyňova 123, Brno 621 00, Czechia
| | - Stefan Kowarik
- Physikalische Chemie, Graz University, Heinrichstraße 28, Graz, Steiermark 8010, Austria
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