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The application of generative models in crystal structure prediction (CSP) has gained significant attention. Conditional generation--particularly the generation of crystal structures with specified stability or other physical properties has…

Materials Science · Physics 2026-01-14 Takanori Ishii , Kaoru Hisama , Kohei Shinohara

Two theoretical models for the description of the diffraction properties of gradient crystals have been developed, one in the framework of the kinematic theory, the other within a transfer matrix formalism based on the dynamical theory of…

Materials Science · Physics 2019-01-04 Klaus-Dieter Liss

Nanocrystalline materials have been proposed for use in future fusion reactors due to their high grain boundary density that may act as a sink for irradiation-induced defects. We use molecular dynamics to model collision cascades in…

We demonstrate a strategy for simulating wide-range X-ray scattering patterns, which spans the small- and wide scattering angles as well as the scattering angles typically used for Pair Distribution Function (PDF) analysis. Such simulated…

We present a generalized method to describe the x-ray scattering intensity of the Bragg spots in a diffraction pattern from nanocrystals exposed to intense x-ray pulses. Our method involves the subdivision of a crystal into smaller units.…

Atomic and Molecular Clusters · Physics 2017-08-24 Malik Muhammad Abdullah , Zoltan Jurek , Sang-Kil Son , Robin Santra

We introduce a phase-field crystal model that creates an array of complex three- and two-dimensional crystal structures via a numerically tractable three-point correlation function. The three-point correlation function is designed in order…

Materials Science · Physics 2017-11-15 Eli Alster , David Montiel , Katsuyo Thornton , Peter W. Voorhees

The diffraction technique is widely used in the determination of crystal structures and is one of the bases for the modern science and technology. All related structure determination methods are based on the assumption that perfect single…

Materials Science · Physics 2020-08-25 Yihan Shen , Yibin Jiang , Jianhua Lin , Cheng Wang , Junliang Sun

We present simulations of Bragg Coherent X-ray Diffractive Imaging (CXDI) data from finite crystals in the frame of the dynamical theory of x-ray diffraction. The developed approach is based on numerical solution of modified Takagi-Taupin…

Materials Science · Physics 2017-08-30 A. G. Shabalin , O. M. Yefanov , V. L. Nosik , V. A. Bushuev , I. A. Vartanyants

A major challenge in materials science is the determination of the structure of nanometer sized objects. Here we present a novel approach that uses a generative machine learning model based on diffusion processes that is trained on 45,229…

Computational Physics · Physics 2024-11-01 Gabe Guo , Tristan Saidi , Maxwell Terban , Michele Valsecchi , Simon JL Billinge , Hod Lipson

We demonstrate the use of the Fast Fourier Transform Beam Propagation Method (FFT BPM) to simulate dynamic diffraction effects, including scattering from deformed crystals with arbitrary shapes in Bragg, Laue, and asymmetric geometries. The…

Optics · Physics 2026-01-13 Jacek Krzywinski , Aliaksei Halavanau

The objective of this article is to study the behavior of electromagnetic field under X-ray diffraction by time-dependent deformed crystals. Derived system of differential equations looks like the Takagi equations in the case of…

Computational Physics · Physics 2007-05-23 Svetlana Sytova

In powder diffraction data analysis, phase identification is the process of determining the crystalline phases in a sample using its characteristic Bragg peaks. For multiphasic spectra, we must also determine the relative weight fraction of…

Machine Learning · Computer Science 2022-10-21 Patrick Hosein , Jaimie Greasley

Powder X-ray diffraction analysis is a critical component of materials characterization methodologies. Discerning characteristic Bragg intensity peaks and assigning them to known crystalline phases is the first qualitative step of…

Materials Science · Physics 2023-04-12 Jaimie Greasley , Patrick Hosein

The ability to predict the morphology of crystals formed by chemical reactions is of fundamental importance for the shape-controlled synthesis of nanostructures. Based on the atomistic mechanism for crystal growth under different driving…

Materials Science · Physics 2009-11-13 B. Viswanath , Paromita Kundu , B. Mukherjee , N. Ravishankar

Incorporation of $\mathrm{Al_{y}Ga_{1-y}N}$ (AGN) semiconductors into high power electronics offers efficiency improvements in power transmission, generation, and use, if approaches to eliminate the defects arising from film-lattice…

The Dynamical Graph Grammar (DGG) formalism can describe complex system dynamics with graphs that are mapped into a master equation. An exact stochastic simulation algorithm may be used, but it is slow for large systems. To overcome this…

Quantitative Methods · Quantitative Biology 2024-07-16 Eric Medwedeff , Eric Mjolsness

In this journal, we study the phase-field model of solidification for numerical simulation of dendritic crystal growth that occurs during the casting of metals and alloys based on the kobayashi [1] model. Qualitative relationships between…

Numerical Analysis · Mathematics 2014-12-11 Rahul Sanal

Generative models trained on internet-scale data are capable of generating novel and realistic texts, images, and videos. A natural next question is whether these models can advance science, for example by generating novel stable materials.…

Machine Learning · Computer Science 2024-06-05 Sherry Yang , KwangHwan Cho , Amil Merchant , Pieter Abbeel , Dale Schuurmans , Igor Mordatch , Ekin Dogus Cubuk

The genomics approach to materials, heralded by increasingly accurate density functional theory (DFT) calculations conducted on thousands of crystalline compounds, has led to accelerated material discovery and property predictions. However,…

Materials Science · Physics 2024-06-12 Mariana Fazio , Le Yang , Carmen S. Menoni

Simulations of SiC crystal growth using molecular dynamics (MD) have become popular in recent years. They, however, simulate very fast deposition rates, to reduce computational costs. Therefore, they are more akin to surface sputtering,…

Materials Science · Physics 2025-12-25 Alexander Reichmann , Zahra Rajabzadeh , Sebastian Hofer , René Hammer , Lorenz Romaner