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Determining the 3D structures of proteins is essential in understanding their behavior in the cellular environment. Computational methods of predicting protein structures have advanced, but assessing prediction accuracy remains a challenge.…

Biomolecules · Quantitative Biology 2024-07-29 Musa Azeem , Homayoun Valafar

This paper presents a novel approach on solving the phase problem in nuclear magnetic resonance (NMR) diffusion pore imaging, a method, which allows imaging the shape of arbitrary closed pores filled with an NMR-detectable medium for…

When a sample's X-ray diffraction pattern (XRD) is measured, the corresponding crystal structure is usually determined by searching for similar XRD patterns in the database. However, if a similar XRD pattern is not found, it is tremendously…

Materials Science · Physics 2023-08-08 Joohwi Lee , Junpei Oba , Nobuko Ohba , Seiji Kajita

Presented here is decryst, a software suite for structure determination from powder diffraction, which uses the direct space method, and is able to apply anti-bump constraints automatically and efficiently during the procedure of global…

Materials Science · Physics 2018-07-30 Yu Liu

X-ray single particle imaging involves the measurement of a large number of noisy diffraction patterns of isolated objects in random orientations. The missing information about these patterns is then computationally recovered in order to…

Image and Video Processing · Electrical Eng. & Systems 2020-05-25 Kartik Ayyer

The mode of action of proteins is to a large extent given by their ability to adopt different conformations. This is why imaging single biomolecules at atomic resolution is one of the ultimate goals of biophysics and structural biology. The…

Biological Physics · Physics 2012-09-27 Jean-Nicolas Longchamp , Tatiana Latychevskaia , Conrad Escher , Hans-Werner Fink

Determining crystal structures from X-ray diffraction data is fundamental across diverse scientific fields, yet remains a significant challenge when data is limited to low resolution. While recent deep learning models have made…

Materials Science · Physics 2025-10-22 Jiale Zhao , Cong Liu , Yuxuan Zhang , Chengyue Gong , Zhenyi Zhang , Shifeng Jin , Zhenyu Liu

Detection of crystal structures from particle positions of crystalline assemblies formed in computer simulations is an unsolved problem. The standard protocol, formulated in the reciprocal space, for structure determination from…

Materials Science · Physics 2025-04-29 Sumitava Kundu , Kaustav Chakraborty , Avisek Das

Due to the advancements in technology number of entries in the structural database of proteins are increasing day by day. Methods for retrieving protein tertiary structures from this large database is the key to comparative analysis of…

Computer Vision and Pattern Recognition · Computer Science 2014-09-03 Rezaul Karim , Mohd. Momin Al Aziz , Swakkhar Shatabda , M. Sohel Rahman , Md. Abul Kashem Mia , Farhana Zaman , Salman Rakin

A new method for identifying crystalline phases in X-ray diffraction data has been proposed, which is especially useful for the study of multiphase materials (more than eight - ten phases) with a relatively low content (less than 1 - 3…

Materials Science · Physics 2021-08-17 A. D. Skorbun , S. V. Gabielkov , I. V. Zhyganiuk

Quantitative phase analysis is one of the major applications of X-ray powder diffraction. The essential principle of quantitative phase analysis is that the diffraction intensity of a component phase in a mixture is proportional to its…

Materials Science · Physics 2022-02-22 Hui Lia , Meng Hebcd , Ze Zhange

The revolution in materials in the past century was built on a knowledge of the atomic arrangements and the structure-property relationship. The sine qua non for obtaining quantitative structural information is single crystal…

Computational Physics · Physics 2023-12-27 Gabe Guo , Judah Goldfeder , Ling Lan , Aniv Ray , Albert Hanming Yang , Boyuan Chen , Simon JL Billinge , Hod Lipson

Solving crystal structures from kinematical X-ray or electron diffraction patterns of single crystals requires many more diffracted beams to be recorded than there are atoms in the structure, since the phases of the structure factors can…

Materials Science · Physics 2023-02-13 Christoph T. Koch

Powder X-ray diffraction analysis is a critical component of materials characterization methodologies. Discerning characteristic Bragg intensity peaks and assigning them to known crystalline phases is the first qualitative step of…

Materials Science · Physics 2023-04-12 Jaimie Greasley , Patrick Hosein

We report on the crystallographic structure of the layered compound Pb3Mn7O15. Previous analysis based on laboratory X-ray data at room temperature gave contradictory results in terms of the description of the unit cell. Motivated by recent…

Crystalline microporous materials are solids formed by interconnected pores of less than 2 nm in size. Typically, they possess large surface areas desirable for versatile applications such as catalysis, gas adsorption, and energy storage.…

Materials Science · Physics 2023-04-26 R. M. Tromer , M. L. Pereira Junior , L. A. Ribeiro Junior , D. S. Galvão

Single particle cryo-electron microscopy has become a critical tool in structural biology over the last decade, able to achieve atomic scale resolution in three dimensional models from hundreds of thousands of (noisy) two-dimensional…

Numerical Analysis · Mathematics 2023-07-19 Aaditya V. Rangan , Leslie Greengard

Since Perutz, Kendrew and colleagues unveiled the structure of hemoglobin and myoglobin based on X-ray diffraction analysis in the 1950s, X-ray crystallography has become the primary methodology used to determine the 3D structure of…

To obtain an electron-density map from a macromolecular crystal the phase-problem needs to be solved, which often involves the use of heavy-atom derivative crystals and concomitantly the determination of the heavy atom substructure. This is…

Biomolecules · Quantitative Biology 2018-08-20 Bjørn Panyella Pedersen , Pontus Gourdon , Xiangyu Liu , Jesper Lykkegaard Karlsen , Poul Nissen

The equations for calculating diffraction profiles for bent crystals are revisited for both meridional and sagittal bending. Two approximated methods for computing diffraction profiles are treated: multilamellar and Penning-Polder. A common…

Materials Science · Physics 2015-03-13 Manuel Sanchez del Rio , Nicolas Perez-Bocanegra , Xianbo Shi , Veijo Honkimaki , Lin Zhang