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Gradient-based optimization of complex nanoparticle heterostructures enabled by deep learning on heterogeneous graphs
Eric Sivonxay1, Lucas Attia1,2, Evan Walter Clark Spotte-Smith3
1Energy Technologies Area, Lawrence Berkeley National Laboratory, Berkeley, CA, USA.
Nature Computational Science
|December 8, 2025
Summary
Deep learning (DL) optimizes core-shell upconverting nanoparticles (UCNPs) by using a large dataset and graph neural networks. This approach identifies novel UCNP structures with significantly enhanced light emission for advanced applications.
Area of Science:
- Materials Science
- Nanotechnology
- Computational Chemistry
Background:
- Deep learning (DL) applications in nanomaterial design are limited by data representation and availability.
- Core-shell upconverting nanoparticles (UCNPs) offer promising applications in biosensing, microscopy, and 3D printing due to their unique light-emitting properties.
Purpose of the Study:
- To overcome data limitations and leverage DL for optimizing the nonlinear optical properties of UCNPs.
- To develop a DL framework for the inverse design of UCNPs with enhanced emission characteristics.
Main Methods:
- Generated a large dataset (>6,000) of UCNP emission spectra using kinetic Monte Carlo simulations.
- Trained a heterogeneous graph neural network with a physically informed representation of UCNP nanostructures.
- Employed gradient-based optimization on the trained network to discover new UCNP designs.
Main Results:
- Identified UCNP structures with a predicted 6.5x higher emission under 800-nm illumination compared to existing ones.
- Demonstrated the effectiveness of the DL approach in predicting and optimizing UCNP performance.
- Established design principles for UCNP heterostructures.
Conclusions:
- The developed DL framework successfully optimizes UCNP nonlinear optical properties.
- This work provides a roadmap for DL-based inverse design of nanomaterials.
- The findings enable the creation of UCNPs with superior light emission for diverse technological applications.

