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Related papers: Mathematical Crystal Chemistry

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Local bond order parameters based on spherical harmonics, also known as Steinhardt order parameters, are often used to determine crystal structures in molecular simulations. Here we propose a modification of this method in which the complex…

Soft Condensed Matter · Physics 2009-11-13 Wolfgang Lechner , Christoph Dellago

Crystal structure prediction is a long-standing challenge in materials science, with most data-driven methods developed for inorganic systems. This leaves an important gap for organic crystals, which are central to pharmaceuticals,…

Materials Science · Physics 2026-02-25 Mohammadmahdi Vahediahmar , Matthew A. McDonald , Feng Liu

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

Crucial to gaining control over crystallisation in multicomponent materials or accurately modelling rheological behaviour of magma flows is to understand the mechanisms by which crystal nuclei form. The microscopic nature of such nuclei,…

Soft Condensed Matter · Physics 2019-08-07 Trond S. Ingebrigtsen , Jeppe C. Dyre , Thomas B. Schrøder , C. Patrick Royall

Organic molecular crystals are ideally placed to become next-generation piezoelectric materials due to their diverse chemistries that can be used to engineer tailor-made solid-state assemblies. Using crystal engineering principles, and…

Materials Science · Physics 2024-12-11 Shubham Vishnoi , Geetu Kumari , Robert Guest , Pierre-André Cazade , Sarah Guerin

To extend rational materials design and discovery into the space of metastable polymorphs, rapid and reliable assessment of their lifetimes is essential. Motivated by the early work of Buerger (1951), here we investigate the routes to…

Materials Science · Physics 2018-04-04 Vladan Stevanovic , Ryan Trottier , Felix Therrien , Charles Musgrave , Aaron Holder , Peter Graf

Many materials such as martensitic or ferromagnetic crystals are observed to be in metastable states exhibiting a fine-scale, structured spatial oscillation called microstructure; and hysteresis is observed as the temperature, boundary…

Numerical Analysis · Mathematics 2025-10-20 Mitchell Luskin

Two-dimensional lead halide perovskites are promising materials for optoelectronics due to the tunability of their properties with the number of lead halide layers and the choice of an organic spacer. Physical understanding for the rational…

Crystallization is a key step in macromolecular structure determination by crystallography. While a robust theoretical treatment of the process is available, due to the complexity of the system, the experimental process is still largely one…

Biomolecules · Quantitative Biology 2016-08-02 Irem Altan , Patrick Charbonneau , Edward H. Snell

Atom arrangement plays a critical role in determining material properties. It is, therefore, essential for materials science and engineering to identify and characterize distinct atom configurations. Currently, crystal structures can be…

Materials Science · Physics 2023-10-18 Rafał Abram , Dariusz Chrobak

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

In computational chemistry, crystal structure prediction (CSP) is an optimization problem that involves discovering the lowest energy stable crystal structure for a given chemical formula. This problem is challenging as it requires…

Machine Learning · Computer Science 2023-10-17 Han Qi , Xinyang Geng , Stefano Rando , Iku Ohama , Aviral Kumar , Sergey Levine

In this introductory review, we give an overview of the computational chemistry methods commonly used in the field of metal-organic frameworks (MOFs), to describe or predict the structures themselves and characterize their various…

Materials Science · Physics 2016-02-02 François-Xavier Coudert , Alain H. Fuchs

We have developed a software package CALYPSO (Crystal structure AnaLYsis by Particle Swarm Optimization) to predict the energetically stable/metastable crystal structures of materials at given chemical compositions and external conditions…

Materials Science · Physics 2015-06-05 Yanchao Wang , Jian Lv , Li Zhu , Yanming Ma

Crystalline materials, with symmetrical and periodic structures, exhibit a wide spectrum of properties and have been widely used in numerous applications across electronics, energy, and beyond. For crystalline materials discovery,…

Computational Engineering, Finance, and Science · Computer Science 2026-02-11 Zhenzhong Wang , Haowei Hua , Wanyu Lin , Ming Yang , Kay Chen Tan

Structures of chemical compounds can be synthesized and categorized through mathematical means. Organic compounds are suitable targets because of their simple valences. Acyclic organic compounds made of hydrogen and second-row elements C,…

Combinatorics · Mathematics 2013-01-08 Chin-yah Yeh

The recently developed evolutionary algorithm USPEX proved to be a tool that enables accurate and reliable prediction of structures for a given chemical composition. Here we extend this method to predict the crystal structure of polymers by…

Materials Science · Physics 2019-01-03 Qiang Zhu , Vinit Sharma , Artem R Oganov , Rampi Ramprasad

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

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

X-ray crystallography is the predominant method for obtaining atomic-scale information about biological macromolecules. Despite the success of the technique, obtaining well diffracting crystals still critically limits going from protein to…