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Machine learning has revolutionized many fields, including materials science. However, predicting properties of crystalline materials using machine learning faces challenges in input encoding, output versatility, and interpretability. We…

Materials Science · Physics 2025-05-22 Haosheng Xu , Dongheng Qian , Jing Wang

Structure is the most basic and important property of crystalline solids; it determines directly or indirectly most materials characteristics. However, predicting crystal structure of solids remains a formidable and not fully solved…

Materials Science · Physics 2021-01-04 Haotong Liang , Valentin Stanev , A. Gilad Kusne , Ichiro Takeuchi

First-principles based crystal structure prediction (CSP) methods have revealed an essential tool for the discovery of new materials. However, in solids close to displacive phase transitions, which are common in ferroelectrics,…

Materials Science · Physics 2026-04-17 Hao Gao , Yue-Wen Fang , Ion Errea

Even though thermodynamic energy-based crystal structure prediction (CSP) has revolutionized materials discovery, the energy-driven CSP approaches often struggle to identify experimentally realizable metastable materials synthesized through…

Materials Science · Physics 2025-05-15 Yu Xin , Peng Liu , Zhuohang Xie , Wenhui Mi , Pengyue Gao , Hong Jian Zhao , Jian Lv , Yanchao Wang , Yanming Ma

We study Crystal Structure Prediction, one of the major problems in computational chemistry. This is essentially a continuous optimization problem, where many different, simple and sophisticated, methods have been proposed and applied. The…

Computational Engineering, Finance, and Science · Computer Science 2020-03-30 Dmytro Antypov , Argyrios Deligkas , Vladimir Gusev , Matthew J. Rosseinsky , Paul G. Spirakis , Michail Theofilatos

In addressing the challenge of Crystal Structure Prediction (CSP), symmetry-aware deep learning models, particularly diffusion models, have been extensively studied, which treat CSP as a conditional generation task. However, ensuring…

Materials Science · Physics 2025-12-09 Peijia Lin , Pin Chen , Rui Jiao , Qing Mo , Jianhuan Cen , Wenbing Huang , Yang Liu , Dan Huang , Yutong Lu

Predicting and characterizing the crystal structure of materials is a key problem in materials research and development. It is typically addressed with highly accurate quantum mechanical computations on a small set of candidate structures,…

Materials Science · Physics 2009-11-10 Stefano Curtarolo , Dane Morgan , Kristin Persson , John Rodgers , Gerbrand Ceder

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

Accurate crystal structure prediction (CSP) requires accounting for finite-temperature and nuclear quantum effects, yet first-principles evaluation of the free energy surface (FES) remains prohibitive for high-throughput searches. We…

Materials Science · Physics 2026-04-23 Xiaoyang Wang , Yinan Wang , Wenbo Zhao , Hanyu Liu , Hao Xie , Lei Wang , Han Wang

The generation of plausible crystal structures is often the first step in predicting the structure and properties of a material from its chemical composition. Quickly generating and predicting inorganic crystal structures is important for…

Materials Science · Physics 2024-02-13 Luis M. Antunes , Keith T. Butler , Ricardo Grau-Crespo

Crystal property prediction is a crucial aspect of developing novel materials. However, there are two technical challenges to be addressed for speeding up the investigation of crystals. First, labeling crystal properties is intrinsically…

Machine Learning · Computer Science 2023-06-12 Haomin Yu , Yanru Song , Jilin Hu , Chenjuan Guo , Bin Yang

High-throughput density-functional calculations of solids are extremely time consuming. As an alternative, we here propose a machine learning approach for the fast prediction of solid-state properties. To achieve this, LSDA calculations are…

Materials Science · Physics 2014-05-23 K. T. Schütt , H. Glawe , F. Brockherde , A. Sanna , K. R. Müller , E. K. U. Gross

The design of crystal materials plays a critical role in areas such as new energy development, biomedical engineering, and semiconductors. Recent advances in data-driven methods have enabled the generation of diverse crystal structures.…

Artificial Intelligence · Computer Science 2025-12-12 Chao Huang , Jiahui Chen , Chen Chen , Chen Chen , Chunyan Chen , Renjie Su , Shiyu Du

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

Due to the subtle balance of intermolecular interactions that govern structure-property relations, predicting the stability of crystal structures formed from molecular building blocks is a highly non-trivial scientific problem. A…

Chemical Physics · Physics 2022-12-26 Rose K. Cersonsky , Maria Pakhnova , Edgar A. Engel , Michele Ceriotti

Prediction of stable crystal structures at given pressure-temperature conditions, based only on the knowledge of the chemical composition, is a central problem of condensed matter physics. This extremely challenging problem is often termed…

Materials Science · Physics 2015-05-20 A. R. Oganov , Y. Ma , A. O. Lyakhov , M. Valle , C. Gatti

Efficient heuristics have predicted many functional materials such as high-temperature superconducting hydrides, while inorganic structural chemistry explains why and how the crystal structures are stabilized. Here we develop the paired…

Materials Science · Physics 2024-11-07 Ryotaro Koshoji , Taisuke Ozaki

In this study, we present a novel approach along with the needed computational strategies for efficient and scalable feature engineering of the crystal structure in compounds of different chemical compositions. This approach utilizes a…

Materials Science · Physics 2021-05-25 Prathik R. Kaundinya , Kamal Choudhary , Surya R. Kalidindi

Crystal structure modeling with graph neural networks is essential for various applications in materials informatics, and capturing SE(3)-invariant geometric features is a fundamental requirement for these networks. A straightforward…

Machine Learning · Computer Science 2025-03-05 Yusei Ito , Tatsunori Taniai , Ryo Igarashi , Yoshitaka Ushiku , Kanta Ono

Crystal structure prediction is a central problem of theoretical crystallography and materials science, which until mid-2000s was considered intractable. Several methods, based on either energy landscape exploration$^{1,2}$ or, more…

Materials Science · Physics 2021-01-26 Ivan A. Kruglov , Alexey V. Yanilkin , Yana Propad , Artem R. Oganov