Huat Thart Chiang, Zhiyin Zhang, Kiran Vaddi, F. Akif Tezcan, Lilo D. Pozzo
{"title":"Efficient analysis of small-angle scattering curves for large biomolecular assemblies using Monte Carlo methods","authors":"Huat Thart Chiang, Zhiyin Zhang, Kiran Vaddi, F. Akif Tezcan, Lilo D. Pozzo","doi":"10.1107/S1600576725003267","DOIUrl":"https://doi.org/10.1107/S1600576725003267","url":null,"abstract":"<p>Structure elucidation from small-angle scattering curves of large biomolecular assemblies is notoriously challenging. This is because the simulation of high-resolution features in the structure of large macromolecular assemblies, such as <i>de novo</i> protein assemblies, is computationally demanding when it needs to cover a broad range of length scales. Conventional methods, such as the numerical approximation to the Debye equation or the use of spherical harmonics, do not scale well as the size of the assembly increases, which limits their application to small structures (<i>e.g.</i> individual proteins). This work explores the effectiveness of a Monte Carlo method to simulate and fit scattering curves for large biomolecular assemblies spanning over ranges covering atomic and molecular detail (<i>e.g.</i> spacing and orientation of proteins in an assembly) as well as large-scale (hundreds of nanometres) features. Owing to its speed and scalability, it can be combined with a fitting algorithm to extract structural features from experimental small-angle scattering curves in biomolecular assemblies that are otherwise intractable for interpretation. This work first demonstrates the effectiveness of the tool using experimental small-angle X-ray scattering (SAXS) data from tile-like proteins that assemble into 1D tube-like macromolecular structures. The diameter distribution of tubes is extracted from SAXS fits, and this is quantitatively compared with distributions from electron microscopy. SAXS data are also obtained from 2D sheet-like protein assemblies, and the proposed method is used to quantify structural features such as the separation distance between protein building blocks and the flexing of the sheet. An open-source implementation of the methodology is provided for use in a broad range of biological systems involving multi-scale scattering analysis.</p>","PeriodicalId":48737,"journal":{"name":"Journal of Applied Crystallography","volume":"58 3","pages":"963-975"},"PeriodicalIF":5.2,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144206541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Guan-Rong Huang, Lionel Porcar, Ryan P. Murphy, Yuya Shinohara, Yangyang Wang, Jan-Michael Carrillo, Bobby G. Sumpter, Chi-Huan Tung, Lijie Ding, Changwoo Do, Wei-Ren Chen
{"title":"Elongated particles in flow: commentary on small-angle scattering investigations","authors":"Guan-Rong Huang, Lionel Porcar, Ryan P. Murphy, Yuya Shinohara, Yangyang Wang, Jan-Michael Carrillo, Bobby G. Sumpter, Chi-Huan Tung, Lijie Ding, Changwoo Do, Wei-Ren Chen","doi":"10.1107/S1600576725002900","DOIUrl":"https://doi.org/10.1107/S1600576725002900","url":null,"abstract":"<p>This work thoroughly examines several analytical tools, each possessing a different level of mathematical intricacy, for the purpose of characterizing the orientation distribution function of elongated objects under flow. Our investigation places an emphasis on connecting the orientation distribution to the small-angle scattering spectra measured experimentally. The diverse range of mathematical approaches investigated herein provide insights into the flow behavior of elongated particles from different perspectives and serve as powerful tools for elucidating the complex interplay between flow dynamics and the orientation distribution function.</p>","PeriodicalId":48737,"journal":{"name":"Journal of Applied Crystallography","volume":"58 3","pages":"637-658"},"PeriodicalIF":5.2,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144206540","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
João L. Biondo Neto, Junior Cintra Mauricio, Cristiane B. Rodella
{"title":"IGUAPE, a graphical user interface for in situ/operando X-ray diffraction experiments at the PAINEIRA beamline: development and application","authors":"João L. Biondo Neto, Junior Cintra Mauricio, Cristiane B. Rodella","doi":"10.1107/S1600576725003309","DOIUrl":"https://doi.org/10.1107/S1600576725003309","url":null,"abstract":"<p>Synchrotron radiation X-ray diffraction facilities equipped with fast area detectors can generate X-ray diffraction (XRD) patterns in seconds. This capability is fundamental to revealing transient crystalline phases and the structural evolution of samples and devices for technology applications. However, it generates XRD patterns usually faster than the user can process during the experiment. Thus, an open-source and user-friendly software package named <i>IGUAPE</i> was developed for the PAINEIRA beamline (Sirius, Brazil). It allows visualization of the X-ray diffractograms as soon as the azimuthal integration of the Debye rings is processed and the XRD pattern is created. The software can also perform a single-peak qualitative analysis of the diffraction data. Upon selecting a diffraction peak in the XRD pattern, the peak position, integrated area and full width at half-maximum variation during the <i>in situ</i> or <i>operando</i> experiment are given.</p>","PeriodicalId":48737,"journal":{"name":"Journal of Applied Crystallography","volume":"58 3","pages":"1061-1067"},"PeriodicalIF":5.2,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144206539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xiangyang Li, Jianjun Ding, Lin Chen, Xingyou Tian
{"title":"Modeling small-angle X-ray scattering in quiescently crystallized polymers in the absence of long-period dispersity","authors":"Xiangyang Li, Jianjun Ding, Lin Chen, Xingyou Tian","doi":"10.1107/S1600576725002705","DOIUrl":"https://doi.org/10.1107/S1600576725002705","url":null,"abstract":"<p>To explain the single and wide first-order long-period peak observed in semicrystalline polymers, classical small-angle X-ray scattering (SAXS) theory regards the dispersity in lamellar thickness/long period as the key structural feature of semicrystalline polymers. Other factors affecting the SAXS pattern such as the lateral size of a lamellar stack, the number of lamellar crystals in a stack and linear crystallinity have been overlooked as secondary factors, preventing structure extraction from SAXS. In this study, we attempted to establish a scattering equation for semicrystalline polymers formed during quiescent crystallization without considering dispersity in the long period/lamellar thickness. The results indicate that the lateral size is the key factor leading to the unique SAXS pattern in semicrystalline polymers and the absence of the linear region in the correlation function. SAXS in semicrystalline polymers results from minor lamellar stacks with small intersection angles with the incident X-rays. On the basis of the results, we suggest employing a revised interface distribution function to obtain structural information after recovering higher-order weak long-period peaks by a difference method. Half of the <i>q</i><sup>4</sup> correction is to eliminate the influence of the form factor, while the other half is to remove the factor of 1/<i>q</i><sup>2</sup> in the structure factor. This study helps to further our understanding of SAXS in semicrystalline polymers.</p>","PeriodicalId":48737,"journal":{"name":"Journal of Applied Crystallography","volume":"58 3","pages":"948-962"},"PeriodicalIF":5.2,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144206708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}