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Nucleation is an activated process in which the system has to overcome a free energy barrier in order for a first-order phase transition between the metastable and the stable phases to take place. In the liquid-to-solid transition the…

Soft Condensed Matter · Physics 2016-11-28 John Russo , Hajime Tanaka

Periodic material or crystal property prediction using machine learning has grown popular in recent years as it provides a computationally efficient replacement for classical simulation methods. A crucial first step for any of these…

Machine Learning · Computer Science 2024-05-08 Jonathan Balasingham , Viktor Zamaraev , Vitaliy Kurlin

Crystal structures can be simplified as a periodic point set that repeats across three-dimensional space along an underlying lattice. Traditionally, crystal representation methods characterize the structure using descriptors such as lattice…

Motivation: Assessing the match between two biomolecular structures is at the heart of structural analyses such as superposition, alignment and docking. These tasks are typically solved with specialized structure-matching techniques…

Biomolecules · Quantitative Biology 2024-01-23 Michael Habeck , Andreas Kröpelin , Nima Vakili

Crystallisation is an important phenomenon which facilitates the purification as well as structural and bulk phase material characterisation using crystallographic methods. However, different conditions can lead to a vast set of different…

Robotics · Computer Science 2024-09-10 Edward C Lee , Daniel Salley , Abhishek Sharma , Leroy Cronin

The matching distance is a computationally tractable topological measure to compare multi-filtered simplicial complexes. We design efficient algorithms for approximating the matching distance of two bi-filtered complexes to any desired…

Computational Geometry · Computer Science 2020-04-02 Michael Kerber , Arnur Nigmetov

Polymorphism, the ability of a compound to crystallize in multiple distinct structures, plays a vital role in determining the physical, chemical, and functional properties of materials. Accurate identification and prediction of polymorphic…

Materials Science · Physics 2025-08-15 Sourin Dey , Nicholas Miklaucic , Sadman Sadeed Omee , Rongzhi Dong , Lai Wei , Qinyang Li , Nihang Fu , Jianjun Hu

Generative models for materials, especially inorganic crystals, hold potential to transform the theoretical prediction of novel compounds and structures. Advancement in this field depends on robust benchmarks and minimal, information-rich…

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

For a very long time, computational approaches to the design of new materials have relied on an iterative process of finding a candidate material and modeling its properties. AI has played a crucial role in this regard, helping to…

Solving black-box optimization problems with Ising machines is increasingly common in materials science. However, their application to crystal structure prediction (CSP) is still ineffective due to symmetry agnostic encoding of atomic…

Materials Science · Physics 2025-04-10 Chen Liang , Diptesh Das , Jiang Guo , Ryo Tamura , Zetian Mao , Koji Tsuda

Crystals are the materials which can be described by uniform periodic lattices. Traditionally, only the 1-, 2-, 3-, 4- and 6-fold rotation symmetries are allowed in crystals because other n-fold rotation symmetries are forbidden by the…

Materials Science · Physics 2013-12-02 Chaoyu He , Jianxin Zhong

A new approach is presented to obtain candidate structures from atomic pair distribution function (PDF) data in a highly automated way. It fetches, from web-based structural databases, all the structures meeting the experimenter's search…

Materials Science · Physics 2020-05-07 Long Yang , Pavol Juhás , Maxwell W. Terban , Matthew G. Tucker , Simon J. L. Billinge

We have developed a symmetry-adapted modeling procedure for molecules and crystals. By using the completeness of multipoles to express spatial and time-reversal parity-specific anisotropic distributions, we can generate systematically the…

Materials Science · Physics 2023-05-12 Hiroaki Kusunose , Rikuto Oiwa , Satoru Hayami

Numerical simulations of crystal defects are necessarily restricted to finite computational domains, supplying artificial boundary conditions that emulate the effect of embedding the defect in an effectively infinite crystalline…

Numerical Analysis · Mathematics 2016-05-25 V. Ehrlacher , C. Ortner , A. V. Shapeev

A fundamental challenge in materials design is linking building block attributes to crystal structure. Addressing this challenge is particularly difficult for systems that exhibit emergent order, such as entropy-stabilized colloidal…

Materials Science · Physics 2018-01-22 Yina Geng , Greg van Anders , Sharon C. Glotzer

Determination of crystal structures of nanocrystalline or amorphous compounds is a great challenge in solid states chemistry and physics. Pair distribution function (PDF) analysis of X-Ray or neutron total scattering data has proven to be a…

Materials Science · Physics 2025-07-14 Magnus Kløve , Sanna Sommer , Bo B. Iversen , Bjørk Hammer , Wilke Dononelli

An increasing variety of crystal structures has been observed in soft condensed matter over the past two decades, surpassing most expectations for the diversity of arrangements accessible through classical driving forces. Here, we survey…

Soft Condensed Matter · Physics 2022-03-01 Julia Dshemuchadse

The analysis of defects and defect dynamics in crystalline materials is important for fundamental science and for a wide range of applied engineering. With increasing system size the analysis of molecular-dynamics simulation data becomes…

Computational Physics · Physics 2020-04-20 U. von Toussaint , F. J. Dominguez-Gutierrez , M. Compostella , M. Rampp

In this paper, we address the challenge of obtaining a comprehensive and symmetric representation of point particle groups, such as atoms in a molecule, which is crucial in physics and theoretical chemistry. The problem has become even more…

Chemical Physics · Physics 2024-02-13 Jigyasa Nigam , Sergey N. Pozdnyakov , Kevin K. Huguenin-Dumittan , Michele Ceriotti
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