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Updated: Sep 16, 2025

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Learning the diffusion of nanoparticles in liquid phase TEM via physics-informed generative AI.

Zain Shabeeb1, Naisargi Goyal1, Pagnaa Attah Nantogmah1

  • 1School of Chemical and Biomolecular Engineering, Georgia Institute of Technology, 311 Ferst Drive NW, Atlanta, GA, 30332, USA.

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Summary

We developed LEONARDO, a deep learning model, to analyze nanoparticle motion in liquid environments using advanced microscopy. This method decodes molecular interactions without needing traditional physics equations, revealing complex fluid properties.

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Area of Science:

  • Nanoscience and nanotechnology
  • Soft matter physics
  • Machine learning applications in science

Background:

  • Studying nanoparticle motion in liquids offers insights into molecular-level interactions.
  • Liquid phase transmission electron microscopy (LPTEM) captures real-time nanoparticle dynamics.
  • Modeling nanoparticle motion is complex, especially without established physical equations.

Purpose of the Study:

  • To present LEONARDO, a novel deep generative model for analyzing nanoparticle motion in LPTEM.
  • To overcome challenges in linking observed motion to underlying molecular interactions.
  • To interpret interactive forces without relying on closed-form Langevin equations.

Main Methods:

  • Utilized a deep generative model with a physics-informed loss function.
  • Employed an attention-based transformer architecture to learn stochastic motion.
  • Applied the model to nanoparticle trajectories obtained from LPTEM.

Main Results:

  • LEONARDO successfully learned the statistical properties of nanoparticle motion.
  • The model captured signatures of environmental heterogeneity and viscoelasticity.
  • Demonstrated the capability to model complex stochastic processes.

Conclusions:

  • LEONARDO provides a powerful new approach for analyzing nanoparticle dynamics in complex fluids.
  • The model facilitates a deeper understanding of nanoscale interactions and material properties.
  • Physics-informed machine learning can address limitations in traditional modeling techniques.