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Revealing hidden medium-range order in amorphous materials using topological data analysis.

Søren S Sørensen1, Christophe A N Biscio2, Mathieu Bauchy3

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|September 12, 2020
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Summary
This summary is machine-generated.

Researchers used topological data analysis to understand medium-range order (MRO) in glasses. This method helps explain the origin of the first sharp diffraction peak (FSDP) in amorphous materials.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Computational Chemistry

Background:

  • Amorphous materials like glasses have many technological uses, but their medium-range order (MRO) structure is poorly understood.
  • The origin of the first sharp diffraction peak (FSDP) in the structure factor of amorphous solids remains a significant challenge.

Purpose of the Study:

  • To apply persistent homology, a topological data analysis technique, to elucidate the MRO structure in sodium silicate glasses.
  • To develop a rigorous method for categorizing structural entities and quantifying their contribution to the FSDP.

Main Methods:

  • Introduced a self-consistent categorization of rings with precise geometrical definitions.
  • Developed a quantitative comparison of persistence diagrams using a weighted cumulative sum based on topological feature lifetime.
  • Applied persistent homology to analyze the MRO structure of sodium silicate glasses.

Main Results:

  • Demonstrated that the developed persistent homology approach can successfully deconvolute the contributions of various MRO features to the FSDP.
  • Showcased the ability to categorize structural features and quantitatively assess their impact on diffraction patterns.
  • Validated the methodology for analyzing complex structural arrangements in amorphous solids.

Conclusions:

  • Persistent homology offers a powerful new tool for understanding the MRO structure of amorphous materials.
  • The developed methodology provides a framework for analyzing molecular dynamics data and characterizing MRO in diverse amorphous solids.
  • This work advances the fundamental understanding of glass structure and diffraction phenomena.