{"title":"Coherent multiple scattering in small-angle scattering experiments: modeling approximations based on the Born expansion.","authors":"Henrich Frielinghaus, Cedric J Gommes","doi":"10.1107/S1600576725006685","DOIUrl":"10.1107/S1600576725006685","url":null,"abstract":"<p><p>We start from an analytical formulation for the coherent multiple scattering treatment - similar to Mie scattering - for spherical particles. Then, we revisit the Born approximation with an approximation for all higher-order terms. Finally, we draw conclusions from those calculations and formulate an approximative model to describe ultra-small-angle neutron scattering and ultra-small-angle X-ray scattering data. In all calculations, we can specify the conditions for coherent multiple scattering. Several examples are provided to show the quality of the simple approximation in comparison with exact calculations and experiments.</p>","PeriodicalId":14950,"journal":{"name":"Journal of Applied Crystallography","volume":"58 Pt 5","pages":"1553-1570"},"PeriodicalIF":2.8,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12502871/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145251076","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pablo J Bereciartua, Juan Rodríguez-Carvajal, Sonia Francoual
{"title":"<i>MagStREXS</i>, a crystallographic computer program to determine magnetic structures through resonant elastic X-ray scattering data. I. Fundamental equations.","authors":"Pablo J Bereciartua, Juan Rodríguez-Carvajal, Sonia Francoual","doi":"10.1107/S1600576725006727","DOIUrl":"10.1107/S1600576725006727","url":null,"abstract":"<p><p>Resonant elastic X-ray scattering (REXS) is an experimental technique that can be highly valuable for studying magnetic structures in certain scenarios. In this paper, we introduce <i>MagStREXS</i>, a crystallographic program designed to determine magnetic structures from REXS data. This software makes use of the key concepts and computational tools already established in the field of magnetic crystallography. Here, we present the fundamental equations implemented in <i>MagStREXS</i>, derived for the two methods used to describe magnetic models: the representation analysis and the symmetry-based approach. We illustrate the capabilities of <i>MagStREXS</i> with a case study. The software is under active development, with the aim of benefiting both specialists and non-specialists in the field.</p>","PeriodicalId":14950,"journal":{"name":"Journal of Applied Crystallography","volume":"58 Pt 5","pages":"1688-1699"},"PeriodicalIF":2.8,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12502880/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145251247","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Philip N H Nakashima, Tianyu Liu, Andrew E Smith, Laure Bourgeois
{"title":"A refinable three-parameter equation for phenomenological absorption in quantitative electron microscopy - determining the equation.","authors":"Philip N H Nakashima, Tianyu Liu, Andrew E Smith, Laure Bourgeois","doi":"10.1107/S160057672500545X","DOIUrl":"10.1107/S160057672500545X","url":null,"abstract":"<p><p>A three-term equation for phenomenological absorption of electron beams in materials is derived for use in quantitative transmission electron microscopy simulations. This is motivated by differential quantitative convergent-beam electron diffraction (QCBED) using CBED patterns that have not been electron-optically energy filtered. As a starting point, this three-parameter function reproduces inelastic scattering factors generated by the ubiquitous <i>ATOM</i> subroutine of Bird & King [<i>Acta Cryst.</i> (1990), A<b>46</b>, 202-208] to within a few per cent, spanning elements <i>Z</i> = 1 to 98, Debye-Waller parameters from <i>B</i> = 0.05 Å<sup>2</sup> to <i>B</i> = 2.0 Å<sup>2</sup>, scattering angles from <i>s</i> = 0 Å<sup>-1</sup> to <i>s</i> = 6.0 Å<sup>-1</sup> and electron energies from <i>E</i> <sub>0</sub> = 1 keV to <i>E</i> <sub>0</sub> = 1 MeV. As such, it is applicable to zero-energy-loss electron-optically filtered pattern matching for which the Bird and King <i>ATOM</i> subroutine was designed. Crucially, the coefficients of the three terms in the present equation can be refined to produce inelastic scattering factors with differing local and non-local contributions, which are better suited to unfiltered differential QCBED pattern matching.</p>","PeriodicalId":14950,"journal":{"name":"Journal of Applied Crystallography","volume":"58 Pt 5","pages":"1665-1676"},"PeriodicalIF":2.8,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12502868/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145251030","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"<i>LibraEDT</i>: a software solution for automated 3D-ED data acquisition.","authors":"Moussa D Faye Diouf, Mauro Gemmi","doi":"10.1107/S1600576725006892","DOIUrl":"10.1107/S1600576725006892","url":null,"abstract":"<p><p>The <i>LibraEDT</i> software has been developed to enhance and automate 3D electron diffraction (3D-ED) experiments by addressing key challenges such as crystal tracking, low-fluence data acquisition and better data management. This tool significantly improves both the accuracy and efficiency of ED workflows, particularly when applied to beam-sensitive materials. The utility of this approach is demonstrated through the structural analysis of a known beam-sensitive organic crystal, as well as a novel and previously unreported zinc-based metal-organic framework incorporating protocatechuic acid.</p>","PeriodicalId":14950,"journal":{"name":"Journal of Applied Crystallography","volume":"58 Pt 5","pages":"1677-1687"},"PeriodicalIF":2.8,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12502859/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145251252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Laura Macchietti, Nicholas Kassouf, Giovanni Valenti, Dora Melucci, Fabrizia Grepioni
{"title":"Solid solution quantification from full powder X-ray diffraction profile: novel application of multivariate calibration.","authors":"Laura Macchietti, Nicholas Kassouf, Giovanni Valenti, Dora Melucci, Fabrizia Grepioni","doi":"10.1107/S1600576725006910","DOIUrl":"10.1107/S1600576725006910","url":null,"abstract":"<p><p>Non-stochiometric crystals, such as solid solutions, represent a valid strategy for fine-tuning the properties of materials from inorganic pigments to active pharma-ceutical ingredients. The change is achieved by substitution of structurally similar compounds within the crystal structure, resulting in a minor variation of cell parameters, and it can be experimentally observed as a shift of the X-ray diffraction profile, with the shift depending on the substitutional amount. After proper alignment of the diffraction data, chemometric methods can detect the evolution of the solid solution profile and correlate it to the molar composition, creating rapid quantitative models. The solid solutions chosen for this work are NA<sub>2</sub>·FA <sub><i>x</i></sub> SA<sub>1-<i>x</i></sub> and IN<sub>2</sub>·FA <sub><i>x</i></sub> SA<sub>1-<i>x</i></sub> , <i>i.e.</i> co-crystals of nicotin-amide (NA) and isonicotinamide (IN) with fumaric acid (FA) and succinic acid (SA) in different proportions; they are used as model systems for the development of principal component regression and partial least-squares models for the quantification of solid solution composition. Different alignment strategies are presented, and the results obtained from test samples show the prediction efficacy of the proposed approach.</p>","PeriodicalId":14950,"journal":{"name":"Journal of Applied Crystallography","volume":"58 Pt 5","pages":"1700-1711"},"PeriodicalIF":2.8,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12502876/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145251185","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Robert W Corkery, Christopher J Garvey, Judith E Houston
{"title":"<i>In hospite</i> and <i>ex hospite</i> architecture of photosynthetic thylakoid membranes in <i>Symbiodinium spp.</i> using small-angle neutron scattering.","authors":"Robert W Corkery, Christopher J Garvey, Judith E Houston","doi":"10.1107/S1600576725007332","DOIUrl":"10.1107/S1600576725007332","url":null,"abstract":"<p><p>We demonstrate that small-angle neutron scattering (SANS) can resolve the architecture of photosynthetic thylakoid membranes in live symbiotic algal cells, both extracted from and living inside their respective hosts (<i>ex hospite</i> and <i>in hospite</i>, respectively). This enables a new non-destructive approach to probing thylakoid organization in coral symbioses, relevant to understanding the mechanisms of coral bleaching. A biologically realistic triple-vesicle model, guided by electron microscopy and established biochemical constraints, was fitted to SANS data from live <i>Symbiodinium</i> associated with both the coral analogue <i>Aiptasia</i> and the reef-building coral <i>Acropora</i>. The resulting compartment scattering length densities, together with established biochemical constraints, define a limited compositional range that supports the plausibility of the structural solution. These fits capture key scattering features and yield dimensional parameters, including inter-thylakoid (IT) gap widths, with uncertainties small enough to test models of stress-related membrane rearrangement. A focused covariance analysis shows that this SANS framework can resolve an IT-gap expansion of ∼2.4 nm with >7σ sensitivity, sufficient to distinguish structural changes proposed in thylakoid stress-response models. This provides a robust baseline for future live-cell studies.</p>","PeriodicalId":14950,"journal":{"name":"Journal of Applied Crystallography","volume":"58 Pt 5","pages":"1516-1525"},"PeriodicalIF":2.8,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12502874/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145251228","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
U-Ser Jeng, Jan Ilavsky, Elliot Paul Gilbert, Wei-Tsung Chuang, Orion Shih
{"title":"Introduction to the special issue related to the 19th International Small Angle Scattering Conference (SAS2024).","authors":"U-Ser Jeng, Jan Ilavsky, Elliot Paul Gilbert, Wei-Tsung Chuang, Orion Shih","doi":"10.1107/S160057672500682X","DOIUrl":"10.1107/S160057672500682X","url":null,"abstract":"<p><p>The virtual special issue related to the 19th International Small Angle Scattering Conference (SAS2024, Taipei, Taiwan) is introduced. The articles included here were originally published in recent regular issues of <i>Journal of Applied Crystallography</i> and <i>Journal of Synchrotron Radiation</i>. The SAS2024 special issue is available at https://journals.iucr.org/special_issues/2025/sas2024/.</p>","PeriodicalId":14950,"journal":{"name":"Journal of Applied Crystallography","volume":"58 Pt 5","pages":"1513-1515"},"PeriodicalIF":2.8,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12502860/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145251098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Lijie Ding, Chi-Huan Tung, Bobby G Sumpter, Wei-Ren Chen, Changwoo Do
{"title":"Machine learning inversion from scattering for mechanically driven polymers.","authors":"Lijie Ding, Chi-Huan Tung, Bobby G Sumpter, Wei-Ren Chen, Changwoo Do","doi":"10.1107/S160057672500634X","DOIUrl":"10.1107/S160057672500634X","url":null,"abstract":"<p><p>A machine learning inversion method is developed for analyzing scattering functions of mechanically driven polymers and extracting the corresponding feature parameters, which include energy parameters and conformation variables. The polymer is modeled as a chain of fixed-length bonds constrained by bending energy, and it is subject to external forces such as stretching and shear. We generate a data set consisting of random combinations of energy parameters, including bending modulus, stretching and shear force, along with Monte Carlo-calculated scattering functions and conformation variables such as end-to-end distance, radius of gyration and off-diagonal component of the gyration tensor. The effects of the energy parameters on the polymer are captured by the scattering function, and principal component analysis ensures the feasibility of the machine learning inversion. Finally, we train a Gaussian process regressor using part of the data set as a training set and validate the trained regressor for inversion using the rest of the data. The regressor successfully extracts the feature parameters.</p>","PeriodicalId":14950,"journal":{"name":"Journal of Applied Crystallography","volume":"58 Pt 5","pages":"1526-1532"},"PeriodicalIF":2.8,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12502862/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145251187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"<i>CrimsonCalc</i>: a software tool for pressure determination based on ruby fluorescence spectra.","authors":"Miha Virant, Matic Lozinšek","doi":"10.1107/S1600576725007216","DOIUrl":"10.1107/S1600576725007216","url":null,"abstract":"<p><p><i>CrimsonCalc</i> is open-source software for processing ruby fluorescence spectra and calculating pressure from the shift of the <i>R</i> <sub>1</sub> peak. It supports processing and plotting of an individual spectrum as well as batch processing of spectra from data in text or Bruker <i>OPUS</i> binary format. Core features include baseline correction, pseudo-Voigt peak fitting, automated detection of detector saturation, and pressure calculation using user-defined or automatically detected reference spectra. The software provides batch output in both human-readable and machine-readable formats. With an intuitive graphical user interface, <i>CrimsonCalc</i> is designed as a high-pressure research aid and includes additional tools such as a diamond Raman edge pressure calculator, an interferometry-based gasket thickness calculator and an estimator for the upper pressure limit based on diamond anvil culet diameter. The program can be easily adopted in high-pressure research laboratories to facilitate pressure readings directly from simple text data, and to generate the images and result files that enable straightforward report preparation.</p>","PeriodicalId":14950,"journal":{"name":"Journal of Applied Crystallography","volume":"58 Pt 5","pages":"1827-1833"},"PeriodicalIF":2.8,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12502879/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145251107","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Peter Modregger, Felix Wittwer, Ahmar Khaliq, Niklas Pyrlik, James A D Ball, Jan Garrevoet, Gerald Falkenberg, Alexander Liehr, Michael Stuckelberger
{"title":"Ultimate sensitivity in X-ray diffraction: angular moments versus shot noise.","authors":"Peter Modregger, Felix Wittwer, Ahmar Khaliq, Niklas Pyrlik, James A D Ball, Jan Garrevoet, Gerald Falkenberg, Alexander Liehr, Michael Stuckelberger","doi":"10.1107/S1600576725006715","DOIUrl":"10.1107/S1600576725006715","url":null,"abstract":"<p><p>The sensitivity towards Bragg peak parameters constitutes a crucial performance attribute of X-ray diffraction experiments. Diffraction peaks are frequently characterized by model-free angular moment analysis, which offers greater versatility compared with traditional model-based peak fitting. Here, we have theoretically determined the ultimate limit of the sensitivities of angular moments imposed by photon shot noise. These predictions have been validated by experimental data provided by three different setups. We have observed experimentally achieved sensitivities of the first moment below 1/1000th of a detector pixel and below 1 µrad. The formulae provided for the uncertainties of angular moments can now be used to rapidly determine experimentally achieved sensitivities from a single diffraction frame. Corresponding limitations (<i>i.e.</i> ultra-low photon counts and exceedingly high photon count rates) are identified and discussed.</p>","PeriodicalId":14950,"journal":{"name":"Journal of Applied Crystallography","volume":"58 Pt 5","pages":"1653-1658"},"PeriodicalIF":2.8,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12502864/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145251150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}