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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

We discuss a stochastic approach for reconstructing the native structures of proteins from the knowledge of the "effective connectivity", which is a one-dimensional structural profile constructed as a linear combination of the eigenvectors…

Biological Physics · Physics 2009-01-20 Katrin Wolff , Michele Vendruscolo , Markus Porto

The geometric optimization of crystal structures is a procedure widely used in Chemistry that changes the geometrical placement of the particles inside a structure. It is called structural relaxation and constitutes a local minimization…

Optimization and Control · Mathematics 2023-05-23 Antonia Tsili , Matthew Dyer , Vladimir Gusev , Piotr Krysta , Rahul Savani

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

We propose a method for crystal structure prediction based on a new structure generation algorithm and on-lattice machine learning interatomic potentials. Our algorithm generates the atomic configurations assigning atomic species to sites…

Materials Science · Physics 2023-06-08 Vadim Sotskov , Alexander V. Shapeev , Evgeny V. Podryabinkin

We developed a density functional theory-free approach for crystal structure prediction via combing graph network (GN) and Bayesian optimization (BO). GN is adopted to establish the correlation model between crystal structure and formation…

Materials Science · Physics 2020-11-24 Guanjian Cheng , Xin-Gao Gong , Wan-Jian Yin

Standard procedures for local crystal-structure optimisation involve numerous energy and force calculations. It is common to calculate an energy-volume curve, fitting an equation of state around the equilibrium cell volume. This is a…

Materials Science · Physics 2016-01-26 Adam J. Jackson , Jonathan M. Skelton , Christopher H. Hendon , Keith T. Butler , Aron Walsh

Computational modelling of materials using machine learning, ML, and historical data has become integral to materials research. The efficiency of computational modelling is strongly affected by the choice of the numerical representation for…

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

Machine learning interatomic potentials have revolutionized complex materials design by enabling rapid exploration of material configurational spaces via crystal structure prediction with ab initio accuracy. However, critical challenges…

Crystal Structure Prediction (CSP) of molecular crystals plays a central role in applications, such as pharmaceuticals and organic electronics. CSP is challenging and computationally expensive due to the need to explore a large search space…

We introduce a computational method for global optimization of structure and ordering in atomic systems. The method relies on interpolation between chemical elements, which is incorporated in a machine learning structural fingerprint. The…

Materials Science · Physics 2021-10-18 Sami Kaappa , Casper Larsen , Karsten Wedel Jacobsen

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

New crystal structures are frequently derived by performing ionic substitutions on known crystal structures. These derived structures are then used in further experimental analysis, or as the initial guess for structural optimization in…

Materials Science · Physics 2018-02-23 Iek-Heng Chu , Sayan Roychowdhury , Daehui Han , Anubhav Jain , Shyue Ping Ong

In this paper, we study the construction of structural models for the description of substitutional defects in crystalline materials. Predicting and designing the atomic structures in such systems is highly challenging due to the…

Computational Physics · Physics 2025-07-04 Xiaoxu Li , Ge Xu , Huajie Chen , Xingyu Gao , Haifeng Song

Recently, Smajic et al. published an article on numerical structural opti- mizations of two-dimensional photonic crystals using two different classes of optimization algorithms i.e, deterministic for local searches and stochastic for…

Other Condensed Matter · Physics 2007-05-23 Andreas Hakansson , Jose Sanchez-Dehesa

In this paper we introduce a new method to design interparticle interactions to target arbitrary crystal structures via the process of self-assembly. We show that it is possible to exploit the curvature of the crystal nucleation free-energy…

Soft Condensed Matter · Physics 2010-12-21 William L. Miller , Angelo Cacciuto

Crystal structures are defined by the periodic arrangement of atoms in 3D space, inherently making them equivariant to SO(3) group. A fundamental requirement for crystal property prediction is that the model's output should remain invariant…

Computational Engineering, Finance, and Science · Computer Science 2025-10-24 Haowei Hua , Wanyu Lin

Over the last two decades, scanning tunnelling microscopy (STM) has become one of the most important ways to investigate the structure of crystal surfaces. STM has helped achieve remarkable successes in surface science such as finding the…

Materials Science · Physics 2009-11-10 Cristian V. Ciobanu , Cristian Predescu

Crystal structure predictions based on the combination of first-principles calculations and machine learning have achieved significant success in materials science. However, most of these approaches are limited to predicting specific…

Materials Science · Physics 2025-01-28 Zongguo Wang , Ziyi Chen , Yang Yuan , Yangang Wang