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Related Experiment Video

Updated: Apr 19, 2026

Atom Probe Tomography Analysis of Exsolved Mineral Phases
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Detecting and extracting clusters in atom probe data: a simple, automated method using Voronoi cells.

P Felfer1, A V Ceguerra1, S P Ringer1

  • 1Australian Centre for Microscopy and Microanalysis, The University of Sydney, NSW 2006, Australia; School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, NSW 2006, Australia.

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|December 16, 2014
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Summary

This study introduces a new method using Voronoi tessellation and Delaunay triangulation to analyze atom probe tomography data for solid solutions. It efficiently identifies atom clusters and tests for randomness without user intervention.

Keywords:
Atom probe tomographyClusteringPoint cloudSpatial filterVoronoi tessellation

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Area of Science:

  • Materials Science
  • Computational Materials Science

Background:

  • Atom probe tomography (APT) is frequently used to study cluster formation in solid solutions.
  • Analyzing spatial and chemical randomness in solid solutions is crucial for understanding material properties.

Purpose of the Study:

  • To present a novel, automated method for analyzing cluster formation and spatial randomness in solid solutions using APT data.
  • To enable efficient screening and pre-filtering of large APT datasets.

Main Methods:

  • Utilizing Voronoi tessellation of solute atoms and its geometric dual, the Delaunay triangulation.
  • Developing an automated parameter determination for cluster extraction, eliminating user interaction.
  • Leveraging Voronoi volumes, which correlate with atomic concentrations, for further analysis.

Main Results:

  • The proposed method effectively tests for spatial/chemical randomness in solid solutions.
  • Clusters within the solid solution can be accurately extracted.
  • Automated parameter determination facilitates rapid dataset screening and pre-filtering.
  • Derived parameters are compatible with concentration-based methods like iso-surfaces.

Conclusions:

  • The Voronoi-Delaunay based method offers an efficient and automated approach for analyzing APT data in solid solutions.
  • This technique enhances the capability for large-scale materials characterization and analysis.
  • The method provides a foundation for integrating spatial and concentration-based analyses.