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20122026
most citedA Topological Framework for Local Structure Analysis in Condensed Matter

137 citations · 584 across the 21 of their papers we have counts for

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Showing cond-mat.mtrl-sciShow all

8 papers · 1 filter

cond-mat.mtrl-sci2026

VoroTypes: automated enumeration of Voronoi cell topologies for structural identification of complex crystals in atomistic simulations

Emanuel A. Lazar, Chris H. Rycroft

VoroTypes enumerates, for an arbitrary crystal structure, the complete family of Voronoi cell topologies that can arise under small generic perturbations of atomic positions, and e…

cond-mat.mtrl-sci2024★ 3 cited

Characterizing structural features of two-dimensional particle systems through Voronoi topology

Emanuel A. Lazar, Jiayin Lu, Chris H. Rycroft +1

This paper introduces a new approach toward characterizing local structural features of two-dimensional particle systems. The approach can accurately identify and characterize defe…

cond-mat.mtrl-sci2023

Identification of high-reliability regions of machine learning predictions in materials science using transparent conducting oxides and perovskites as examples

Evan M. Askanazi, Emanuel A. Lazar, Ilya Grinberg

Progress in the application of machine learning (ML) methods to materials design is hindered by the lack of understanding of the reliability of ML predictions, in particular for th…

cond-mat.mtrl-sci2020★ 12 cited

Distribution of Topological Types in Grain-Growth Microstructures

Emanuel A. Lazar, Jeremy K. Mason, Robert D. MacPherson +1

An open question in studying normal grain growth concerns the asymptotic state to which microstructures converge. In particular, the distribution of grain topologies is unknown. We…

cond-mat.mtrl-sci2018★ 43 cited

VoroTop: Voronoi Cell Topology Visualization and Analysis Toolkit

Emanuel A. Lazar

This paper introduces a new open-source software program called VoroTop, which uses Voronoi topology to analyze local structure in atomic systems. Strengths of this approach includ…

cond-mat.mtrl-sci2016★ 6 cited

Roundness of grains in cellular microstructures

Frank H. Lutz, Jeremy K. Mason, Emanuel A. Lazar +1

Many physical systems are composed of polyhedral cells of varying sizes and shapes. These structures are simple in the sense that no more than three faces meet at an edge and no mo…

cond-mat.mtrl-sci2015★ 67 cited

Geometric and topological properties of the canonical grain growth microstructure

Jeremy K. Mason, Emanuel A. Lazar, Robert D. MacPherson +1

Many physical systems can be modeled as large sets of domains "glued" together along boundaries - biological cells meet along cell membranes, soap bubbles meet along thin films, co…

cond-mat.mtrl-sci2012★ 58 cited

Complete topology of cells, grains, and bubbles in three-dimensional microstructures

Emanuel A. Lazar, Jeremy K. Mason, Robert D. MacPherson +1

We introduce a general, efficient method to completely describe the topology of individual grains, bubbles, and cells in three-dimensional polycrystals, foams, and other multicellu…