Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Deep learning optimal molecular scintillators for dark matter direct detection

Cameron Cook1,*, Carlos Blanco2,3,†, and Juri Smirnov1,‡

  • *Contact author: sgccook2@liverpool.ac.uk
  • †Contact author: carlosblanco2718@princeton.edu
  • ‡Contact author: juri.smirnov@liverpool.ac.uk

Phys. Rev. D 112, 083005 – Published 2 October, 2025

DOI: https://doi.org/10.1103/89gh-lwcd

Abstract

Direct searches for sub-GeV dark matter are limited by the intrinsic quantum properties of the target material. In this proof-of-concept study, we argue that this problem is particularly well suited for machine learning. We demonstrate that a simple neural architecture consisting of a variational autoencoder and a multilayer perceptron can efficiently generate unique molecules with desired properties. In specific, the energy threshold and signal (quantum) efficiency determine the minimum mass and cross section to which a detector can be sensitive. Organic molecules present a particularly interesting class of materials with intrinsically anisotropic electronic responses and O(few)  eV excitation energies. However, the space of possible organic compounds is intractably large, which makes traditional database screening challenging. We adopt excitation energies and proxy transition matrix elements as target properties learned by our network. Our model is able to generate molecules that are not in even the most expansive quantum chemistry databases and predict their relevant properties for high-throughput and efficient screening. Following a massive generation of novel molecules, we use clustering analysis to identify some of the most promising molecular structures that optimize the desired molecular properties for dark matter detection.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (33)

  1. L. J. Hall, K. Jedamzik, J. March-Russell, and S. M. West, Freeze-in production of FIMP dark matter, J. High Energy Phys. 03 (2010) 080.
  2. Y. Hochberg, E. Kuflik, H. Murayama, T. Volansky, and J. G. Wacker, Model for thermal relic dark matter of strongly interacting massive particles, Phys. Rev. Lett. 115, 021301 (2015).
  3. J. Smirnov and J. F. Beacom, New freezeout mechanism for strongly interacting dark matter, Phys. Rev. Lett. 125, 131301 (2020).
  4. C. Blanco, J. Collar, Y. Kahn, and B. Lillard, Dark matter-electron scattering from aromatic organic targets, Phys. Rev. D 101, 056001 (2020).
  5. M. Nakata and T. Maeda, PubChemQC B3LYP/6-31G*//PM6 data set: The electronic structures of 86 million molecules using B3LYP/6-31G* calculations, J. Chem. Inf. Model. 63, 5734 (2023).
  6. https://figshare.com/projects/ChemDM/231230.
  7. R. M. Geilhufe, B. Olsthoorn, A. Ferella, T. Koski, F. Kahlhoefer, J. Conrad, and A. V. Balatsky, Materials informatics for dark matter detection, Phys. Status Solidi RRL 12, 1800293 (2018).
  8. S. Wang, Z. Wang, W. Setyawan, N. Mingo, and S. Curtarolo, Assessing the thermoelectric properties of sintered compounds via high-throughput ab-initio calculations, Phys. Rev. X 1, 021012 (2011).
  9. S. S. Borysov, B. Olsthoorn, M. B. Gedik, R. M. Geilhufe, and A. V. Balatsky, Online search tool for graphical patterns in electronic band structures, npj Comput. Mater. 4, 46 (2018).
  10. R. M. Geilhufe, A. Bouhon, S. S. Borysov, and A. V. Balatsky, Three-dimensional organic dirac-line materials due to nonsymmorphic symmetry: A data mining approach, Phys. Rev. B 95, 041103 (2017).
  11. M. Klintenberg, J. Haraldsen, and A. V. Balatsky, Computational search for strong topological insulators: An exercise in data mining and electronic structure, Appl. Phys. Res. 6, 31 (2014).
  12. R. M. Geilhufe, S. S. Borysov, D. Kalpakchi, and A. V. Balatsky, Towards novel organic high-Tc superconductors: Data mining using density of states similarity search, Phys. Rev. Mater. 2, 024802 (2018).
  13. M. Klintenberg and O. Eriksson, Possible high-temperature superconductors predicted from electronic structure and data-filtering algorithms, Comput. Mater. Sci. 67, 282 (2013).
  14. H. L. Morgan, The generation of a unique machine description for chemical structures—A technique developed at chemical abstracts service, J. Chem. Documen. 5, 107 (1965).
  15. S. Jaeger, S. Fulle, and S. Turk, Mol2vec: Unsupervised machine learning approach with chemical intuition, J. Chem. Inf. Model. 58, 27 (2018).
  16. M. Krenn, F. Häse, A. Nigam, P. Friederich, and A. Aspuru-Guzik, Self-referencing embedded strings (selfies): A 100% robust molecular string representation, Mach. Learn.: Sci. Technol. 1, 045024 (2020).
  17. D. Weininger, Smiles, a chemical language and information system. 1. Introduction to methodology and encoding rules, J. Chem. Inf. Comput. Sci. 28, 31 (1988).
  18. R. Ramakrishnan, P. Dral, M. Rupp, and A. von Lilienfeld, Quantum chemistry structures and properties of 134 kilo molecules, Sci. Data 1, 140022 (2014).
  19. Ö. Omar, T. Nematiaram, A. Troisi, and D. Padula, Organic materials repurposing, a data set for theoretical predictions of new applications for existing compounds, Sci. Data 9, 54 (2022).
  20. C. Blanco, Y. Kahn, B. Lillard, and S. D. McDermott, Dark matter daily modulation with anisotropic organic crystals, Phys. Rev. D 104, 036011 (2021).
  21. S. K. Lee, M. Lisanti, A. H. G. Peter, and B. R. Safdi, Effect of gravitational focusing on annual modulation in dark-matter direct-detection experiments, Phys. Rev. Lett. 112, 011301 (2014).
  22. M. Honma and Y. Sofue, Mass of the galaxy inferred from outer rotation curve, Publ. Astron. Soc. Jpn. 48, L103 (1996).
  23. T. Piffl et al., The rave survey: The galactic escape speed and the mass of the milky way, Astron. Astrophys. 562, A91 (2014).
  24. K. L. Pérez, V. Jung, L. Chen, K. Huddleston, and R. A. Miranda-Quintana, Efficient clustering of large molecular libraries, bioRxiv 10.1101/2024.08.10.607459 (2024), https://www.biorxiv.org/content/early/2024/08/10/2024.08.10.607459.full.pdf.
  25. T. Zhang, R. Ramakrishnan, and M. Livny, BIRCH: An efficient data clustering method for very large databases, SIGMOD Record 25, 103 (1996).
  26. C. J. Nolet, D. Gala, A. Fender, M. Doijade, J. Eaton, E. Raff, J. Zedlewski, B. Rees, and T. Oates, cuSLINK: Single-linkage agglomerative clustering on the GPU, arXiv:2306.16354.
  27. A. Plaat, Research re: Search & re-search, arXiv:2403.13705.
  28. P. Ertl and A. Schuffenhauer, Estimation of synthetic accessibility score of drug-like molecules based on molecular complexity and fragment contributions, J. Cheminf. 1, 8 (2009).
  29. G. W. Bemis and M. A. Murcko, The properties of known drugs. 1. molecular frameworks, J. Med. Chem. 39, 2887 (1996).
  30. Ö. Omar, T. Nematiaram, A. Troisi, and D. Padula, Organic materials repurposing, a data set for theoretical predictions of new applications for existing compounds, Sci. Data 9, 54 (2022).
  31. Z. Xie, X. Evangelopoulos, Ö. H. Omar, A. Troisi, A. I. Cooper, and L. Chen, Fine-tuning GPT-3 for machine learning electronic and functional properties of organic molecules, Chem. Sci. 15, 500 (2024).
  32. G. A. Pinheiro, J. Mucelini, M. D. Soares, R. C. Prati, J. L. F. Da Silva, and M. G. Quiles, Machine learning prediction of nine molecular properties based on the smiles representation of the QM9 quantum-chemistry dataset, J. Phys. Chem. A 124, 9854 (2020).
  33. J. Jo, B. Kwak, B. Lee, and S. Yoon, Flexible dual-branched message-passing neural network for a molecular property prediction, ACS Omega 7, 4234 (2022).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation