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Related papers: Point Group Analysis in Particle Simulation Data

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Spontaneous self-assembly of hard convex polyhedra are known to form orientationally disordered crystalline phases, where particle orientations do not follow the same pattern as the positional arrangement of the crystal. A distinct type of…

Soft Condensed Matter · Physics 2024-12-02 Sumitava Kundu , Kaustav Chakraborty , Avisek Das

Symmetry is an implicit objective in structural form-finding that often reconciles efficiency and aesthetics. This paper identifies the symmetry of polyhedral diagrams in three-dimensional graphic statics (3DGS) as point groups and…

Computational Geometry · Computer Science 2026-04-29 Yefan Zhi , Yao Lu , Masoud Akbarzadeh

We use machine learning algorithms to detect the crystalline phase in undercooled melts in molecular dynamics simulations. Our classification method is based on local conformation and environmental fingerprints of individual monomers. In…

Soft Condensed Matter · Physics 2023-11-02 Atmika Bhardwaj , Jens-Uwe Sommer , Marco Werner

A procedure for the construction and the classification of multilattices in arbitrary dimension is proposed. The algorithm allows to determine explicitly the location of the points of a multilattice given its space group, and to determine…

Mathematical Physics · Physics 2009-08-18 Giuliana Indelicato

Clustering is a technique for the analysis of datasets obtained by empirical studies in several disciplines with a major application for biomedical research. Essentially, clustering algorithms are executed by machines aiming at finding…

Quantitative Methods · Quantitative Biology 2024-09-30 Diego Ulisse Pizzagalli , Santiago Fernandez Gonzalez , Rolf Krause

Volumetric crystal structure indexing and orientation mapping are key data processing steps for virtually any quantitative study of spatial correlations between the local chemistry and the microstructure of a material. For electron and…

Computational Physics · Physics 2020-09-03 Markus Kühbach , Matthew Kasemer , Baptiste Gault , Andrew Breen

Crystalline materials are widely used in technological applications, yet their discovery remains a significant challenge. As their properties are driven by structure, crystal structure prediction (CSP) methods play a central role in…

Machine Learning · Computer Science 2026-04-28 Stavros Gerolymatos , J. Kyle Brubaker , Martin J. A. Schuetz , Vladimir V. Gusev

Point Group (PG) symmetries play a fundamental role in many aspects of theoretical chemistry and computational materials science. With the objective to automatize the search of PG symmetry operations of generic atomic clusters, we present a…

Computational Physics · Physics 2024-08-14 Miha Gunde , Nicolas Salles , Luca Grisanti , Layla Martin-Samos , Anne Hemeryck

Detecting structures at the particle scale within plastically deformed crystalline materials allows a better understanding of the occurring phenomena. While previous approaches mostly relied on applying hand-chosen criteria on different…

Materials Science · Physics 2024-05-15 Armand Barbot , Riccardo Gatti

The point group symmetry of materials is closely related to their physical properties and quite important for material modeling. However, superlattice materials have more complex symmetry conditions than crystals due to their multilevel…

Materials Science · Physics 2016-02-17 Pu Zhang , Albert C. To

Geometric information such as the space groups and crystal systems plays an important role in the properties of crystal materials. Prediction of crystal system and space group thus has wide applications in crystal material property…

Materials Science · Physics 2021-05-18 Yuxin Li , Rongzhi Dong , Wenhui Yang , Jianjun Hu

Physical systems are frequently modeled as sets of points in space, each representing the position of an atom, molecule, or mesoscale particle. As many properties of such systems depend on the underlying ordering of their constituent…

Other Condensed Matter · Physics 2015-11-18 Emanuel A. Lazar , Jian Han , David J. Srolovitz

The use of machine learning methods for accelerating the design of crystalline materials usually requires manually constructed feature vectors or complex transformation of atom coordinates to input the crystal structure, which either…

Materials Science · Physics 2018-04-10 Tian Xie , Jeffrey C. Grossman

We consider several patchy particle models that have been proposed in literature and we investigate their candidate crystal structures in a systematic way. We compare two different algorithms for predicting crystal structures: (i) an…

Computational Physics · Physics 2015-06-05 Emanuela Bianchi , Guenther Doppelbauer , Laura Filion , Marjolein Dijkstra , Gerhard Kahl

Grouping elements into families to analyse them separately is a standard analysis procedure in many areas of sciences. We propose herein a new algorithm based on the simple idea that members from a family look like each other, and don't…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Axel Descamps , Sélène Forget , Aliénor Lahlou , Claire Lavergne , Camille Berthelot , Guillaume Stirnemann , Rodolphe Vuilleumier , Nicolas Chéron

We demonstrate a machine learning-based approach which predicts the properties of crystal structures following relaxation based on the unrelaxed structure. Use of crystal graph singular values reduces the number of features required to…

Materials Science · Physics 2024-02-15 Ethan P. Shapera , Dejan-Krešimir Bučar , Rohit P. Prasankumar , Christoph Heil

The large amount of powder diffraction data for which the corresponding crystal structures have not yet been identified suggests the existence of numerous undiscovered, physically relevant crystal structure prototypes. In this paper, we…

Materials Science · Physics 2024-10-31 Abhijith S. Parackal , Rhys E. A. Goodall , Felix A. Faber , Rickard Armiento

Determining the stability of chemical compounds is essential for advancing material discovery. In this study, we introduce a novel deep neural network model designed to predict a crystal's formation energy, which identifies its stability…

Materials Science · Physics 2026-04-21 V. Torlao , E. A. Fajardo

A spin space group provides a suitable way to fully exploit the symmetry of a spin arrangement with a negligible spin-orbit coupling. There has been a growing interest in applying spin symmetry analysis with the spin space group in the…

Materials Science · Physics 2025-06-25 Kohei Shinohara , Atsushi Togo , Hikaru Watanabe , Takuya Nomoto , Isao Tanaka , Ryotaro Arita

Crystalline structure prediction is an essential prerequisite for designing materials with targeted properties. Yet, it is still an open challenge in materials design and drug discovery. Despite recent advances in computational materials…

Machine Learning · Computer Science 2025-09-29 Emmanuel Jehanno , Romain Menegaux , Julien Mairal , Sergei Grudinin