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A novel Genetic Algorithm is described that is suitable for determining the global minimum energy configurations of crystal structures and which can also be used as a polymorph search technique. This algorithm requires no prior assumptions…

Other Condensed Matter · Physics 2007-05-23 N. L. Abraham , M. I. J. Probert

De novo crystal generation, a central task in materials discovery, aims to generate crystals that are simultaneously valid, stable, unique, and novel. Existing methods mainly rely on black-box stochastic sampling, providing limited control…

Recent advances in deep learning have enabled the generation of realistic data by training generative models on large datasets of text, images, and audio. While these models have demonstrated exceptional performance in generating novel and…

Materials Science · Physics 2024-06-17 Izumi Takahara , Kiyou Shibata , Teruyasu Mizoguchi

Finding an optimal match between two different crystal structures underpins many important materials science problems, including describing solid-solid phase transitions, developing models for interface and grain boundary structures. In…

Materials Science · Physics 2020-02-21 Félix Therrien , Peter Graf , Vladan Stevanović

Crystal Structure Prediction (CSP) is crucial in various scientific disciplines. While CSP can be addressed by employing currently-prevailing generative models (e.g. diffusion models), this task encounters unique challenges owing to the…

Materials Science · Physics 2024-03-08 Rui Jiao , Wenbing Huang , Peijia Lin , Jiaqi Han , Pin Chen , Yutong Lu , Yang Liu

The ability to reliably predict the structures and stabilities of a molecular crystal and its polymorphs without any prior experimental information would be an invaluable tool for a number of fields, with specific and immediate applications…

Evolutionary crystal structure prediction proved to be a powerful approach for studying a wide range of materials. Here, we present a specifically designed algorithm for the prediction of the structure of complex crystals consisting of…

Materials Science · Physics 2012-05-21 Qiang Zhu , Artem R. Oganov , Colin W. Glass , Harold T. Stokes

Autonomous materials discovery with desired properties is one of the ultimate goals for materials science, and the current studies have been focusing mostly on high-throughput screening based on density functional theory calculations and…

Molecular crystal structure prediction represents a grand challenge in computational chemistry due to large sizes of constituent molecules and complex intra- and intermolecular interactions. While generative modeling has revolutionized…

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

X-ray crystallography (XC) is an experimental technique used to determine three-dimensional crystalline structures. The acquired data in XC, called diffraction patterns, is the Fourier magnitudes of the unknown crystalline structure. To…

Image and Video Processing · Electrical Eng. & Systems 2019-07-09 Samuel Pinilla , Jorge Bacca , Cesar Vargas , Juan Carlos Poveda-Jaramillo , Henry Arguello

Crystal material representation is the foundation of crystal material research. Existing works consider crystal molecules as graph data with different representation methods and leverage the advantages of techniques in graph learning. A…

Materials Science · Physics 2023-12-27 Jiao Huang , Qianli Xing , Jinglong Ji , Bo Yang

We introduce CrystalFormer, a transformer-based autoregressive model specifically designed for space group-controlled generation of crystalline materials. By explicitly incorporating space group symmetry, CrystalFormer greatly reduces the…

Materials Science · Physics 2025-09-29 Zhendong Cao , Xiaoshan Luo , Jian Lv , Lei Wang

This monograph introduces key concepts and problems in the new research area of Periodic Geometry and Topology for materials applications.Periodic structures such as solid crystalline materials or textiles were previously classified in…

Computational Geometry · Computer Science 2021-06-10 Olga Anosova , Vitaliy Kurlin

Crystal structure prediction is now playing an increasingly important role in discovery of new materials. Global optimization methods such as genetic algorithms (GA) and particle swarm optimization (PSO) have been combined with first…

Materials Science · Physics 2021-02-09 Jianjun Hu , Wenhui Yang , Rongzhi Dong , Yuxin Li , Xiang Li , Shaobo Li

The prediction of material structure from chemical composition has been a long-standing challenge in natural science. Although there have been various methodological developments and successes with computer simulations, the prediction of…

Materials Science · Physics 2018-05-23 Naoto Tsujimoto , Daiki Adachi , Ryosuke Akashi , Synge Todo , Shinji Tsuneyuki

We present a comprehensive review of the emerging crystal structure determination method Parameter Space Concept (PSC), which solves and refines either partial or complete crystal structures by mapping each experimental or theoretical…

Computational Physics · Physics 2025-10-06 Matthias Zschornak , Muthu Vallinayagam , Melanie Nentwich , Dirk C. Meyer , Karl Fischer

In this article, we demonstrate a method for inducing reversible crystal-to-crystal transitions in binary mixtures of soft colloidal particles. Through a controlled decrease of salinity and increasingly dominating electrostatic…

Soft Condensed Matter · Physics 2021-08-30 Jasper N. Immink , Maxime J. Bergman , J. J. Erik Maris , Joakim Stenhammar , Peter Schurtenberger

We introduce a computational method to optimize target physical properties in the full configuration space regarding atomic composition, chemical stoichiometry, and crystal structure. The approach combines the universal potential of the…

Materials Science · Physics 2025-03-03 Guanjian Cheng , Xin-Gao Gong , Wan-Jian Yin

Understanding structure-property relationships in materials is fundamental in condensed matter physics and materials science. Over the past few years, machine learning (ML) has emerged as a powerful tool for advancing this understanding and…