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Shielded magnetic small-angle neutron scattering for characterization of radioactive samples. 用于放射性样品表征的屏蔽磁小角中子散射。
IF 6.1 3区 材料科学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2025-05-31 eCollection Date: 2025-06-01 DOI: 10.1107/S1600576725003176
Kevin G Field, Caleb P Massey, Kurt R Smith, Samuel A Briggs, Dalong Zhang, Kenneth C Littrell

The development of a Pb-shielded fixture for the execution of a small-angle neutron scattering (SANS)-based workflow for interrogation of highly irradiated nuclear materials has been explored. The Pb shielding was specially designed to reduce the detected radioactivity from the specimen during SANS experiments, and the overall configuration is termed shielded magnetic SANS (SM-SANS). Two FeCrAl-based alloys, C35M and 125YF, were examined with the SM-SANS technique using a free-form size distribution locally monodisperse model in both the as-received and irradiated states. Quantitative values derived from the free-form size distribution were compared with atom probe tomography experiments. Microstructural and compositional parameters determined using the two characterization techniques were complements of each other. The results demonstrate that the SM-SANS technique is an effective means of characterizing nanoscale clustering in irradiated material systems and provides new avenues for investigating radioactive material microstructures.

开发了一种用于执行小角中子散射(SANS)工作流程的铅屏蔽夹具,用于高辐照核材料的讯问。铅屏蔽是专门设计用于减少SANS实验中从样品中检测到的放射性,总体结构称为屏蔽磁性SANS (SM-SANS)。采用SM-SANS技术对C35M和125YF两种feral基合金在接收和辐照状态下的自由形状尺寸分布局部单分散模型进行了检测。由自由形状尺寸分布得到的定量值与原子探针层析实验进行了比较。使用两种表征技术确定的显微结构和成分参数是互补的。结果表明,SM-SANS技术是表征辐照材料体系中纳米级聚类的有效手段,为研究放射性材料微结构提供了新的途径。
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引用次数: 0
The in crystallo optical spectroscopy toolbox. 晶体光学光谱工具箱。
IF 6.1 3区 材料科学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2025-05-31 eCollection Date: 2025-06-01 DOI: 10.1107/S1600576725003541
Nicolas Caramello, Virgile Adam, Arwen R Pearson, Antoine Royant

Over the past ten years, there has been a surge in the demand for in crystallo optical spectroscopy (icOS), since optical spectroscopy is one of the few biophysical characterization methods applicable to both protein solutions and crystals. Historically, icOS has been used to compare the state of proteins in crystals and in solution, and to assess their functionality by determining the redox state of metal ions, cofactors or chromophores. The recent rejuvenation of time-resolved crystallography experiments has sparked a renewed interest in optical spectroscopy as a bridge between kinetic studies in solution and in the crystalline state. The method of icOS can be defined as the ensemble of spectroscopic techniques in the UV-visible-infrared range that can be applied to crystals. It has also been instrumental in understanding specific X-ray radiation damage to redox-sensitive parts of proteins. Spectra recorded from crystals are affected by crystal orientation, shape or position due to various optical phenomena. Fortunately, these can be modelled and their effect can be corrected. The icOS laboratory at the European Synchrotron Radiation Facility (ESRF) specializes in recording UV-Vis absorption, fluorescence emission and Raman spectra from protein crystals. Here, we present a suite of utilities that streamline the analysis and correction of UV-Vis absorption icOS data, encased in a graphical interface. This was originally developed for the icOS laboratory at ESRF but is available as a standalone package, with the aim of making icOS more accessible.

在过去的十年中,晶体光学光谱(icOS)的需求激增,因为光谱学是少数几种既适用于蛋白质溶液又适用于晶体的生物物理表征方法之一。历史上,icOS已被用于比较蛋白质在晶体和溶液中的状态,并通过确定金属离子、辅因子或发色团的氧化还原状态来评估它们的功能。近年来,时间分辨晶体学实验的复兴激发了人们对光谱学作为溶液和晶体状态动力学研究之间桥梁的兴趣。icOS方法可以定义为可应用于晶体的紫外-可见-红外光谱技术的集合。它还有助于理解特定的x射线辐射对蛋白质氧化还原敏感部分的损伤。由于各种光学现象,晶体的取向、形状或位置会影响晶体记录的光谱。幸运的是,这些可以建模,它们的影响可以纠正。位于欧洲同步辐射设施(ESRF)的icOS实验室专门记录蛋白质晶体的紫外-可见吸收、荧光发射和拉曼光谱。在这里,我们提供了一套实用程序,简化了紫外-可见吸收icOS数据的分析和校正,封装在图形界面中。它最初是为ESRF的icOS实验室开发的,但作为一个独立的软件包提供,目的是使icOS更容易访问。
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引用次数: 0
Enhanced estimation method for partial scattering functions in contrast variation small-angle neutron scattering via Gaussian process regression with prior knowledge of smoothness. 利用平滑先验知识的高斯过程回归增强对比变化小角中子散射部分散射函数估计方法。
IF 6.1 3区 材料科学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2025-05-31 eCollection Date: 2025-06-01 DOI: 10.1107/S1600576725003334
Ippei Obayashi, Shinya Miyajima, Kazuaki Tanaka, Koichi Mayumi

Contrast variation small-angle neutron scattering (CV-SANS) is a powerful tool for evaluating the structure of multi-component systems. In CV-SANS, the scattering intensities I(Q) measured with different scattering contrasts are de-com-posed into partial scattering functions S(Q) of the self- and cross-correlations between components. Since the measurement has a measurement error, S(Q) must be estimated statistically from I(Q). If no prior knowledge about S(Q) is available, the least-squares method is best, and this is the most popular estimation method. However, if prior knowledge is available, the estimation can be improved using Bayesian inference in a statistically authorized way. In this paper, we propose a novel method to improve the estimation of S(Q), based on Gaussian process regression using prior knowledge about the smoothness and flatness of S(Q). We demonstrate the method using synthetic core-shell and experimental polyrotaxane SANS data.

对比变化小角中子散射(CV-SANS)是评价多组分体系结构的有力工具。在CV-SANS中,用不同散射对比度测量的散射强度I(Q)被分解成分量之间自相关和相互相关的部分散射函数S(Q)。由于测量存在测量误差,因此S(Q)必须由I(Q)进行统计估计。如果没有关于S(Q)的先验知识可用,最小二乘法是最好的,这是最流行的估计方法。然而,如果有先验知识,则可以使用贝叶斯推理以统计授权的方式改进估计。本文提出了一种改进S(Q)估计的新方法,该方法基于高斯过程回归,利用S(Q)的平滑性和平坦性的先验知识。我们用合成核壳和实验聚轮烷SANS数据证明了该方法。
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引用次数: 0
Simulation of bright and dark diffuse multiple scattering lines in high-flux synchrotron X-ray experiments. 高通量同步加速器x射线实验中明暗漫射多重散射线的模拟。
IF 6.1 3区 材料科学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2025-05-31 eCollection Date: 2025-06-01 DOI: 10.1107/S1600576725003553
Maurício B Estradiote, A Gareth A Nisbet, Rafaela F S Penacchio, Marcus A R Miranda, Guilherme A Calligaris, Sérgio L Morelhão

We present a theoretical framework for understanding diffuse multiple scattering (DMS) in single crystals, focusing on diffuse scattering Bragg channels. These channels, when probed with high-flux low-divergence monochromatic synchrotron X-rays, provide well defined visualizations of Bragg cones. Our main contribution lies in modelling the intensity distribution along these lines by considering diffuse scattering (DS) around individual reciprocal-lattice nodes. The model incorporates contributions from both general DS and mosaicity, elucidating their connection to second-order scattering events. This comprehensive approach advances our understanding of DMS phenomena, enabling their use as probes for complex material behaviour, particularly under extreme conditions.

我们提出了一个理论框架来理解单晶中的漫射多重散射(DMS),重点是漫射散射布拉格通道。当用高通量低发散单色同步加速器x射线探测这些通道时,可以提供布拉格锥的清晰可视化。我们的主要贡献在于通过考虑单个互向晶格节点周围的漫射散射(DS)来模拟沿着这些线的强度分布。该模型结合了一般DS和镶嵌性的贡献,阐明了它们与二阶散射事件的联系。这种全面的方法促进了我们对DMS现象的理解,使它们能够用作复杂材料行为的探针,特别是在极端条件下。
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引用次数: 0
Machine-learning-informed scattering correlation analysis of sheared colloids. 基于机器学习的剪切胶体散射相关分析。
IF 6.1 3区 材料科学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2025-05-31 eCollection Date: 2025-06-01 DOI: 10.1107/S1600576725003280
Lijie Ding, Yihao Chen, Changwoo Do

We have carried out theoretical analysis, Monte Carlo simulations and machine-learning analysis to quantify microscopic rearrangements of dilute dispersions of spherical colloidal particles from coherent scattering intensity. Both monodisperse and polydisperse dispersions of colloids were created and underwent a rearrangement consisting of an affine simple shear and non-affine rearrangement using the Monte Carlo method. We calculated the coherent scattering intensity of the dispersions and the correlation function of intensity before and after the rearrangement and generated a large data set of angular correlation functions for varying system parameters, including number density, polydispersity, shear strain and non-affine rearrangement. Singular value decomposition of the data set shows the feasibility of machine-learning inversion from the correlation function for the polydispersity, shear strain and non-affine rearrangement using only three parameters. A Gaussian process regressor is then trained on the data set and can retrieve the affine shear strain, non-affine rearrangement and polydispersity with relative errors of 3%, 1% and 6%, respectively. Altogether, our model provides a framework for quantitative studies of both steady and non-steady microscopic dynamics of colloidal dispersions using coherent scattering methods.

我们进行了理论分析、蒙特卡罗模拟和机器学习分析,从相干散射强度来量化球形胶体颗粒稀分散的微观重排。用蒙特卡罗方法制备了单分散和多分散的胶体,并进行了由仿射简单剪切和非仿射重排组成的重排。我们计算了重排前后色散的相干散射强度和强度的相关函数,并生成了不同系统参数(包括数密度、多分散性、剪切应变和非仿射重排)的角相关函数的大数据集。数据集的奇异值分解表明,仅使用三个参数,机器学习反演多分散性、剪切应变和非仿射重排的相关函数是可行的。然后在数据集上训练高斯过程回归器,可以检索仿射剪切应变,非仿射重排和多分散性,相对误差分别为3%,1%和6%。总之,我们的模型为使用相干散射方法定量研究胶体分散体的稳定和非稳定微观动力学提供了一个框架。
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引用次数: 0
Classification and statistical analysis of structural disorder in crystalline materials. 晶体材料结构无序的分类与统计分析。
IF 6.1 3区 材料科学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2025-05-29 eCollection Date: 2025-06-01 DOI: 10.1107/S1600576725003000
Dmytro Antypov, Chris M Collins, Matthew S Dyer, John B Claridge, Matthew J Rosseinsky

Approximately 50% of entries in the Inorganic Crystal Structure Database (ICSD; https://www.fiz-karlsruhe.de/en) exhibit some form of structural disorder. This work aims to provide a thorough analysis of structurally disordered materials within the ICSD, using data extracted from crystallographic information files. To achieve this, we derive a classification of structurally disordered crystalline materials described by their spatially averaged structures and introduce a range of quantitative measures of structural disorder. The overarching aim of this classification and analysis is to facilitate high-throughput and machine learning studies of disordered materials. To demonstrate the application of our approach, we perform statistical analysis of the disordered compounds reported in the ICSD to identify general trends in the distribution of disorder across different chemical elements, structures and classes of materials.

无机晶体结构数据库(ICSD;https://www.fiz-karlsruhe.de/en)表现出某种形式的结构紊乱。本工作旨在利用从晶体学信息文件中提取的数据,对ICSD内结构无序的材料进行全面分析。为了实现这一目标,我们推导了由其空间平均结构描述的结构无序晶体材料的分类,并引入了一系列结构无序的定量测量。这种分类和分析的总体目标是促进无序材料的高通量和机器学习研究。为了证明我们的方法的应用,我们对ICSD中报告的无序化合物进行了统计分析,以确定不同化学元素、结构和材料类别中无序分布的总体趋势。
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引用次数: 0
A multiscale in situ time-resolved study of the nano- to millisecond structural dynamics during protein crystallization. 蛋白质结晶过程中纳米至毫秒结构动力学的多尺度原位时间分辨研究。
IF 6.1 3区 材料科学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2025-05-29 eCollection Date: 2025-06-01 DOI: 10.1107/S160057672500353X
Christian Beck, Ilaria Mosca, Laura M Miñarro, Benedikt Sohmen, Cara Buchholz, Ralph Maier, Lara Franziska Reichart, Anna Carlotta Grundel, Famke Bäuerle, Roody Nasro, Hadra Banks, Simon Christmann, Kai-Florian Pastryk, Bela Farago, Orsolya Czakkel, Sylvain Prévost, Alexander Gerlach, Marco Grimaldo, Felix Roosen-Runge, Olga Matsarskaia, Frank Schreiber, Tilo Seydel

Protein crystallization is key to determining the structure of proteins at atomic resolution. It can occur naturally, including in pathological pathways, for instance with aquaporin and γ-crystallin proteins. A fundamental understanding of the underlying crystallization process is both technologically and biologically relevant. A multitechnique approach is employed here to investigate protein crystallization in situ, allowing us to assess the evolution of the liquid suspension and crystallite structure as well as protein diffusion during the crystallization process. The wide range of methods probe the sample on ångström to millimetre length scales, accessing nanosecond to millisecond dynamics information while acquiring data with minute-timescale kinetic resolution during crystallization. This process takes several hours from an initial state of monomers or small clusters until the presence of large crystallites. Employing neutron spectroscopy allows us to distinguish different crystallization pathways and to reveal the presence of coexisting clusters during the entire crystallization process. We demonstrate the multitechnique approach on human serum albumin (HSA) proteins crystallized from aqueous solution in the presence of LaCl3. For this system, the crystallization kinetics can be consistently described by a sigmoid function across all methods, and the kinetics can be controlled by the salt concentration. Moreover, we compare the HSA-LaCl3 model system with the crystallization behavior of β-lactoglobulin-CdCl2, which includes a metastable intermediate state.

蛋白质结晶是在原子分辨率上确定蛋白质结构的关键。它可以自然发生,包括病理途径,例如水通道蛋白和γ-晶体蛋白。对潜在结晶过程的基本理解在技术和生物学上都是相关的。本文采用多技术方法原位研究蛋白质结晶,使我们能够评估结晶过程中液体悬浮液和晶体结构的演变以及蛋白质的扩散。各种方法在ångström到毫米长度尺度上探测样品,访问纳秒到毫秒的动力学信息,同时在结晶过程中获取分钟时间尺度的动力学分辨率数据。这个过程需要几个小时,从单体或小簇的初始状态,直到出现大的晶体。利用中子光谱学可以区分不同的结晶途径,并揭示在整个结晶过程中共存的团簇的存在。我们展示了在LaCl3存在的水溶液中结晶人血清白蛋白(HSA)蛋白的多技术方法。对于该体系,所有方法的结晶动力学都可以用s型函数一致地描述,并且动力学可以由盐浓度控制。此外,我们将HSA-LaCl3模型系统与β-乳球蛋白- cdcl2的结晶行为进行了比较,其中包括一个亚稳态中间态。
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引用次数: 0
Changes of the lipid membrane structures caused by chain-length-dependent doxorubicin embedment in PEGylated liposomes. 链长依赖性阿霉素嵌入聚乙二醇化脂质体引起的脂膜结构变化。
IF 6.1 3区 材料科学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2025-05-29 eCollection Date: 2025-06-01 DOI: 10.1107/S1600576725003577
Jia-Jhen Kang, Zhih-Chen Huang, Li-Wen Tang, Chun-Jen Su, Hua-De Gao, Hsien-Ming Lee, U-Ser Jeng

Poly(ethyl-ene glycol)-grafted (PEGylated) liposomes receive increasingly more attention due to their practical applications in delivering vaccines, nutrients and drug molecules such as doxorubicin (DOX). PEGylated liposomes have been well documented for their capability in carrying DOX as rod-like crystallites enclosed inside the unilamellar vesicles. This study addresses the previously unresolved question of whether DOX intercalates into liposome bilayers by employing simultaneous small- and wide-angle X-ray scattering (SWAXS), complemented by an integrated asymmetric flow field-flow fractionation system coupled with multi-angle light scattering, dynamic light scattering and refractive index detection. The DOX-loaded PEGylated liposomes used are composed of phosphatidylcholine (N:0 PC) lipids, with different lipid chain lengths N = 18, 20 and 22, and a fixed molar ratio of lipid:cholesterol:DSPE-PEG2000 of 45:50:5. SWAXS analysis reveals that rod-like DOX nanocrystallites-approximately 70-95 nm in length and 14 nm in diameter-are encapsulated within the PEGylated liposomes across all three lipid types, with each exhibiting distinct membrane structural responses to DOX incorporation. Notably, 22:0 PC liposomes demonstrate significant DOX-induced disruption of lipid chain packing, accompanied by enhanced alignment of phosphate headgroups in the outer leaflet. Consistently, cryo-EM imaging reveals pronounced faceted membrane morphologies in DOX-loaded 22:0 PC liposomes. This faceting phenomenon is attributed to the accumulation of DOX within the excess hydro-phobic core regions created by the extended aliphatic chains beyond the cholesterol saturation limit. These DOX-enriched domains locally stiffen the membrane, promoting the formation of rigid, faceted structures.

由于在运送疫苗、营养物质和药物分子(如阿霉素(DOX))方面的实际应用,聚乙二醇(乙二醇)接枝(聚乙二醇化)脂质体越来越受到关注。聚乙二醇化脂质体作为封闭在单层囊泡内的棒状晶体,具有携带DOX的能力。本研究通过同时使用小角和广角x射线散射(SWAXS),并辅以集成的不对称流场-流分析系统,结合多角度光散射、动态光散射和折射率检测,解决了以前未解决的DOX是否插入脂质体双层的问题。所使用的dox负载聚乙二醇脂质体由磷脂酰胆碱(N:0 PC)脂质组成,脂质链长度N = 18、20和22,脂质:胆固醇:DSPE-PEG2000的固定摩尔比为45:50:5。SWAXS分析显示,棒状DOX纳米晶体(长度约为70-95 nm,直径约为14 nm)被包裹在聚乙二醇化脂质体中,所有三种脂质类型都表现出不同的膜结构响应。值得注意的是,22:0 PC脂质体表现出明显的dox诱导的脂链包装破坏,并伴有外小叶中磷酸基团的增强排列。与此一致的是,低温电子显微镜成像显示在dox负载的22:0 PC脂质体中明显的多面膜形态。这种表面现象是由于延长的脂肪链超过胆固醇饱和极限所产生的过量疏水核心区域内DOX的积累。这些富含dox的结构域局部使膜变硬,促进刚性面结构的形成。
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引用次数: 0
SAXS-A-FOLD: a website for fast ensemble modeling optimizing the fit of AlphaFold or user-supplied protein structures with flexible regions to SAXS data. SAXS- a - fold:用于快速集成建模的网站,优化AlphaFold或用户提供的具有灵活区域的蛋白质结构与SAXS数据的拟合。
IF 6.1 3区 材料科学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2025-05-29 eCollection Date: 2025-06-01 DOI: 10.1107/S1600576725003590
Emre Brookes, Joseph E Curtis, Aaron Householder, Mattia Rocco

AI programs such as AlphaFold (AF) are having a major impact on structural biology. However, predicted unstructured regions, the arrangement of linker-connected domains and their conformational changes in response to environmental variables present challenges that are not easily dealt with on purely computational grounds. An approach that uses predicted (or solved) protein modules/domains linked by potentially unstructured regions and that generates ensembles of models optimized against small-angle X-ray scattering (SAXS) data has been recently described [Brookes et al. (2023). J. Appl. Cryst. 56, 910-926]. Its implementation on a public-domain website, SAXS-A-FOLD (https://saxsafold.genapp.rocks), is presented here. User-supplied SAXS experimental intensity I(q) versus scattering vector magnitude q and the derived pair-wise distance distribution function P(r) versus r are first uploaded. An AF or user-supplied structure (currently only single chains without prosthetic groups) is then uploaded and displayed, and its SAXS I(q) and P(r) profiles are computed and compared with the experimental data. If uploaded from AF, the structure is color-coded by the associated confidence level: on this basis, the website automatically proposes potential flexible regions that can be user modified. For user-supplied structures, these regions have to be directly entered. A starting pool of typically 10-50 × 103 conformations is generated using a Monte Carlo method that samples backbone dihedral angles along the chosen segments of potential flexibility in the protein structures. The initial pool is reduced to obtain a tractable set of models, for which P(r) and I(q) are computed with fast established methods. A global fit is performed using non-negatively constrained least-squares (NNLS) versus original data. The P(r) and I(q) NNLS results are then displayed, showing both the reconstructed curves and the contributing model curves, with their percentage contributions. A WAXSiS (https://waxsis.uni-saarland.de) implementation is utilized to calculate an I(q) for each selected model. These sets can be enhanced by adding a user-defined number of models generated before and after each selected model in the original Monte Carlo pool, ensuring the inclusion of nearby models that might better fit the data. Finally, NNLS is used on the WAXSiS-generated I(q) set versus the original I(q) data, with the results displaying the contributing models and their I(q). Aside from being representative of contributing conformations, the models selected by SAXS-A-FOLD could constitute a set of starting structures for more advanced MD simulations.

像AlphaFold (AF)这样的人工智能程序正在对结构生物学产生重大影响。然而,预测的非结构化区域、连接域的排列以及它们的构象变化对环境变量的响应提出了挑战,这些挑战在纯粹的计算基础上不容易处理。最近已经描述了一种方法,该方法使用由潜在非结构化区域连接的预测(或解决)蛋白质模块/结构域,并生成针对小角度x射线散射(SAXS)数据优化的模型集成[Brookes等人](2023)。j:。[j].中国生物医学工程学报,2016,33(2):391 - 391。这里介绍了它在公共领域网站SAXS-A-FOLD (https://saxsafold.genapp.rocks)上的实现。首先上传用户提供的SAXS实验强度I(q)与散射矢量大小q的关系,以及导出的成对距离分布函数P(r)与r的关系。然后上传和显示AF或用户提供的结构(目前只有单链没有假基),并计算其SAXS I(q)和P(r)曲线并与实验数据进行比较。如果从AF上传,则根据相关置信度对结构进行颜色编码:在此基础上,网站自动提出用户可以修改的潜在灵活区域。对于用户提供的结构,必须直接输入这些区域。一个典型的10-50 × 103个构象的起始池是使用蒙特卡罗方法生成的,该方法沿着蛋白质结构中潜在柔韧性的选定片段采样主二面角。将初始池简化为一组可处理的模型,其中P(r)和I(q)用快速建立的方法计算。使用非负约束最小二乘(NNLS)与原始数据进行全局拟合。然后显示P(r)和I(q) NNLS结果,显示重建曲线和贡献模型曲线,以及它们的百分比贡献。使用WAXSiS (https://waxsis.uni-saarland.de)实现计算每个选定模型的I(q)。可以通过在原始Monte Carlo池中每个选定模型之前和之后添加用户定义的模型数量来增强这些集,从而确保包含可能更适合数据的附近模型。最后,对waxsis生成的I(q)集和原始I(q)数据使用NNLS,结果显示贡献模型及其I(q)。SAXS-A-FOLD选择的模型除了具有贡献构象的代表性外,还可以为更高级的MD模拟提供一组起始结构。
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引用次数: 0
Linearization routines for the parameter space concept to determine crystal structures without Fourier inversion. 线性化例程的参数空间概念,以确定晶体结构无需傅里叶反演。
IF 6.1 3区 材料科学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2025-05-23 eCollection Date: 2025-06-01 DOI: 10.1107/S1600576725001955
Muthu Vallinayagam, Melanie Nentwich, Dirk C Meyer, Matthias Zschornak

We present the elaboration and first generally applicable linearization routines of the parameter space concept (PSC) for determining one-dimensionally projected structures of m independent scatterers. This crystal determination approach does not rely on Fourier inversion but rather considers all structure parameter combinations consistent with available diffraction data in a parameter space of dimension m. The method utilizes m structure-factor amplitudes or intensities represented by piecewise analytic hyper-surfaces to define the acceptable parameter regions. The coordinates of the point scatterers are obtained through the intersection of multiple isosurfaces. This approach allows for the detection of all possible solutions for the given structure-factor amplitudes in a single derivation. Taking the resonant contrast into account, the spatial resolution achieved by the presented method may exceed that of traditional Fourier inversion, and the algorithms can be significantly optimized by exploiting the symmetry properties of the isosurfaces. The applied one-dimensional projection demonstrates the efficiency of the PSC linearization approach based on fewer reflections than Fourier sums. Monte Carlo simulations, using the projections of various random two- and three-atom structure examples, are presented to illustrate the universal applicability of the proposed method. Furthermore, ongoing efforts aim to enhance the efficiency of data handling and to overcome current constraints, promising further advancements in the capabilities and accuracy of the PSC framework.

我们提出了参数空间概念(PSC)的细化和第一个普遍适用的线性化程序,用于确定m独立散射体的一维投影结构。这种晶体测定方法不依赖于傅里叶反演,而是考虑与m维参数空间中可用衍射数据一致的所有结构参数组合。该方法利用由分段解析超曲面表示的m个结构因子振幅或强度来定义可接受的参数区域。点散射体的坐标由多个等值面相交得到。这种方法允许在一次推导中检测给定结构因子振幅的所有可能解。考虑共振对比,该方法所获得的空间分辨率可能超过传统的傅里叶反演,并且利用等面的对称性可以显著优化算法。应用一维投影证明了基于更少反射的PSC线性化方法比傅立叶和的效率。蒙特卡罗模拟,使用各种随机的二原子和三原子结构的例子的投影,以说明所提出的方法的普遍适用性。此外,正在进行的努力旨在提高数据处理的效率,克服目前的限制,有望进一步提高PSC框架的能力和准确性。
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引用次数: 0
期刊
Journal of Applied Crystallography
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