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Mechanistic insights into the non-equilibrium thermodynamics of nitrogen fixation via acoustic cavitation
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  • Published: 12 February 2026

Mechanistic insights into the non-equilibrium thermodynamics of nitrogen fixation via acoustic cavitation

  • Xuelei Pan  ORCID: orcid.org/0000-0002-8317-20801 na1,
  • Davide Bernardo Preso  ORCID: orcid.org/0000-0003-3781-04991 na1,
  • Qian Liu2 na1,
  • Lucia Mullings  ORCID: orcid.org/0009-0006-1570-38191,
  • Mohamad Salimi1,
  • Yi Qin1,
  • Pankaj S. Sinhmar1 &
  • …
  • James Kwan  ORCID: orcid.org/0000-0002-3795-61081 

Nature Communications , Article number:  (2026) Cite this article

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We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Chemical engineering
  • Chemical synthesis

Abstract

Non-equilibrium reaction environments offer a route to bypass the thermodynamic constraints that limit conventional nitrogen fixation, yet such conditions remain inaccessible in traditional thermal systems. Here, we show that rapid activation-quenching chemistry inside cavitation bubbles provides a viable non‑equilibrium pathway for nitrogen fixation. The violent collapse of ultrasound-driven bubbles generates an intense temperature pulse that enables direct nitrogen activation and subsequent redox chemistry within a transient gas phase microreactor. Nitrogen-containing products are produced with tuneable rates and selectivity controlled by feed gas composition, cavitation dynamics, and solution properties. Introduced cavitation nuclei lower the cavitation threshold and improve collapse reproducibility, while noble‑gas doping modulates collapse temperatures and shifts nitrate-nitrite distributions through enhancing the involvement of water‑derived species. Isotopic labelling and single‑bubble modelling indicate that nitrogen reaction proceeds predominantly through gas‑phase pathways during collapse, which can be described by a dynamic thermodynamic model within a temperature pulse. These findings establish cavitation‑driven non-equilibrium thermal cycling as a distinct mechanism for nitrogen fixation and underscore the broader potential of transient thermal microenvironments for chemical synthesis.

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Data availability

The data that support the findings of this study are available from the corresponding authors upon request. Unprocessed raw data are provided via Figshare40. Source data are provided with this paper.

References

  1. Ye, D. & Tsang, S. C. E. Prospects and challenges of green ammonia synthesis. Nat. Syn. 2, 612–623 (2023).

    Google Scholar 

  2. Raymond, J., Siefert, J. L., Staples, C. R. & Blankenship, R. E. The natural history of nitrogen fixation. Mol. Biol. Evol. 21, 541–554 (2004).

    Google Scholar 

  3. MacFarlane, D. R. et al. A roadmap to the ammonia economy. Joule 4, 1186–1205 (2020).

    Google Scholar 

  4. Humphreys, J., Lan, R. & Tao, S. Development and recent progress on ammonia synthesis catalysts for Haber–Bosch process. Adv. Energy Sustain. Res. 2, 2000043 (2020).

    Google Scholar 

  5. Smith, C., Hill, A. K. & Torrente-Murciano, L. Current and future role of Haber–Bosch ammonia in a carbon-free energy landscape. Energ. Environ. Sci. 13, 331–344 (2020).

    Google Scholar 

  6. Tonelli, D., Rosa, L., Gabrielli, P., Parente, A. & Contino, F. Cost-competitive decentralized ammonia fertilizer production can increase food security. Nat. Food 5, 469–479 (2024).

    Google Scholar 

  7. Li, D. et al. Direct conversion of N2 and O2: status, challenge and perspective. Natl. Sci. Rev. 9, nwac042 (2022).

    Google Scholar 

  8. Adalder, A., Paul, S. & Ghorai, U. K. Progress of electrochemical synthesis of nitric acid: catalyst design, mechanistic insights, protocol and challenges. J. Mater. Chem. A 11, 10125–10148 (2023).

    Google Scholar 

  9. Wan, H., Bagger, A. & Rossmeisl, J. Limitations of electrochemical nitrogen oxidation toward nitrate. J. Phys. Chem. L 13, 8928–8934 (2022).

    Google Scholar 

  10. Chen, S. et al. Direct electroconversion of air to nitric acid under mild conditions. Nat. Syn. 3, 76–84 (2024).

    Google Scholar 

  11. Han, G.-F. et al. Dissociating stable nitrogen molecules under mild conditions by cyclic strain engineering. Sci. Adv. 5, eaax8275 (2019).

    Google Scholar 

  12. Chen, J. G. et al. Beyond fossil fuel–driven nitrogen transformations. Science 360, eaar6611 (2018).

    Google Scholar 

  13. Vojvodic, A. et al. Exploring the limits: a low-pressure, low-temperature Haber–Bosch process. Chem. Phys. Lett. 598, 108–112 (2014).

    Google Scholar 

  14. Dong, Q. et al. Programmable heating and quenching for efficient thermochemical synthesis. Nature 605, 470–476 (2022).

    Google Scholar 

  15. Yusof, N. S. et al. Physical and chemical effects of acoustic cavitation in selected ultrasonic cleaning applications. Ultrason. Sonochem. 29, 568–576 (2016).

    Google Scholar 

  16. Suslick, K. S. Sonochemistry. Science 247, 1439–1445 (1990).

    Google Scholar 

  17. McNamara III, W. B., Didenko, Y. T. & Suslick, K. S. Sonoluminescence temperatures during multi-bubble cavitation. Nature 401, 772–775 (1999).

    Google Scholar 

  18. Yasui, K., Tuziuti, T., Sivakumar, M. & Iida, Y. Theoretical study of single-bubble sonochemistry. J. Chem. Phys. 122, 224706 (2005).

    Google Scholar 

  19. Virtanen, A. I. & Ellfolk, N. Nitrogen fixation in an ultrasonic field. J. Am. Chem. Soc. 72, 1046–1047 (1950).

    Google Scholar 

  20. Mead, E. L., Sutherland, R. G. & Verrall, R. E. The effect of ultrasound on water in the presence of dissolved gases. Can. J. Chem. 54, 1114–1120 (1976).

    Google Scholar 

  21. Wakeford, C., Blackburn, R. & Lickiss, P. Effect of ionic strength on the acoustic generation of nitrite, nitrate and hydrogen peroxide. Ultrason. Sonochem. 6, 141–148 (1999).

    Google Scholar 

  22. Kruus, P. Sonochemical formation of nitrate and nitrite in water. Ultrason. Sonochem. 7, 109–113 (2000).

    Google Scholar 

  23. Kruus, P. Fixation of nitrogen with cavitation. Ultrason. Sonochem. 9, 53–59 (2002).

    Google Scholar 

  24. Cao, W. et al. Catalyst-free activation and fixation of nitrogen by laser-induced conversion. J. Am. Chem. Soc. 146, 14765–14775 (2024).

    Google Scholar 

  25. Yao, J. et al. Formation of inorganic nitrogenous byproducts in aqueous solution under ultrasound irradiation. Ultrason. Sonochem. 42, 42–47 (2018).

    Google Scholar 

  26. Yusuf, L. A. et al. Toward decentralized nitrogen fixation using pulsed ultrasound. Cell Rep. Phys. Sci. 6, 102662 (2025).

    Google Scholar 

  27. Dean, A. M. & Bozzelli, J. W. in Gas-phase combustion chemistry (ed Ed. W. C. Gardiner) 125–341 (Springer, 2000).

  28. Wang, Y. et al. Catalyst-free nitrogen fixation by microdroplets through a radical-mediated disproportionation mechanism under ambient conditions. J. Am. Chem. Soc. 147, 2756–2765 (2025).

    Google Scholar 

  29. Bose, S., Mofidfar, M. & Zare, R. N. Direct conversion of N2 and air to nitric acid in gas–water microbubbles. J. Am. Chem. Soc. 146, 27964–27971 (2024).

    Google Scholar 

  30. Agarwal, K., Trivedi, M. & Nirmalkar, N. Does salting-out effect nucleate nanobubbles in water: spontaneous nucleation? Ultrason. Sonochem. 82, 105860 (2022).

    Google Scholar 

  31. Wong, C. C. Y. et al. Ultrasound-driven seawater splitting catalysed by TiO2 for hydrogen production. Int. J. Hydrogen Energ. 111, 723–734 (2025).

    Google Scholar 

  32. Birkeland, K. On the oxidation of atmospheric nitrogen in electric arcs. Trans. Faraday Soc. 2, 98–116 (1906).

    Google Scholar 

  33. Rouwenhorst, K. H., Jardali, F., Bogaerts, A. & Lefferts, L. From the Birkeland–Eyde process towards energy-efficient plasma-based NOx synthesis: a techno-economic analysis. Energ. Environ. Sci. 14, 2520–2534 (2021).

    Google Scholar 

  34. Wong, C. C. Y. et al. Enhancement of sonochemical production of hydroxyl radicals from pulsed cylindrically converging ultrasound waves. Ultrason. Sonochem. 99, 106559 (2023).

    Google Scholar 

  35. Le, P. T. T. & Boyd, C. Comparison of phenate and salicylate methods for the determination of total ammonia nitrogen in freshwater and saline water. J. World Aquac. Soc. 43, 885–889 (2012).

    Google Scholar 

  36. Delley, B. An all-electron numerical method for solving the local density functional for polyatomic molecules. J. Chem. Phys. 92, 508–517 (1990).

    Google Scholar 

  37. Delley, B. From molecules to solids with the DMol3 approach. J. Chem. Phys. 113, 7756 (2000).

    Google Scholar 

  38. Zhao, Y. & Truhlar, D. G. A new local density functional for main-group thermochemistry, transition metal bonding, thermochemical kinetics, and noncovalent interactions. J. Chem. Phys. 125, 194101 (2006).

    Google Scholar 

  39. Keller, J. B. & Miksis, M. Bubble oscillations of large amplitude. J. Acoust. Soc. Am. 68, 628–633 (1980).

    Google Scholar 

  40. Pan, X. et al. Mechanistic insights into the non-equilibrium thermodynamics of nitrogen fixation via acoustic cavitation, Figshare, https://doi.org/10.6084/m9.figshare.31164301 (2026).

  41. Zhou, D. et al. Sustainable ammonia production by non-thermal plasmas: Status, mechanisms, and opportunities. Chem. Eng. J. 421, 129544 (2021).

    Google Scholar 

  42. Han, G.-F. et al. Mechanochemistry for ammonia synthesis under mild conditions. Nat. Nanotechnol. 16, 325–330 (2021).

    Google Scholar 

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Acknowledgements

J.K. acknowledges the Engineering and Physical Sciences Research Council (Grant Reference EP/W012316/1) and EPSRC UKRI Impact Acceleration Account Award (Grant Reference EP/X525777/1). The authors gratefully acknowledge the late Prof. Edman Tsang’s group and the Department of Chemistry at the University of Oxford for providing experimental and characterisation facilities.

Author information

Author notes
  1. These authors contributed equally: Xuelei Pan, Davide Bernardo Preso, and Qian Liu.

Authors and Affiliations

  1. Department of Engineering Science, University of Oxford, Parks Road, Oxford, United Kingdom

    Xuelei Pan, Davide Bernardo Preso, Lucia Mullings, Mohamad Salimi, Yi Qin, Pankaj S. Sinhmar & James Kwan

  2. Hoffmann Institute of Advanced Materials, Shenzhen Polytechnic University, 7098 Liuxian Boulevard, Shenzhen, China

    Qian Liu

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Contributions

X.P. and J.K. conceived the concept and designed the experiments. X.P. and D.B.P. carried out the main experiments. D.B.P. performed the simulation of the bubble collapse process. Q.L. performed the DFT calculations. L.M. characterised the acoustic field of transducers, cavitation noise and developed the energy calculation methods. M.S. and P.S. helped with the reactor design, modelling and improvement, and economic analysis. Y.Q. performed SEM and EDX experiments. X.P., D.B.P. and J.K. analysed the data and wrote the manuscript. All authors discussed the data and commented on the manuscript.

Corresponding author

Correspondence to James Kwan.

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The authors declare no competing interests.

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Pan, X., Preso, D.B., Liu, Q. et al. Mechanistic insights into the non-equilibrium thermodynamics of nitrogen fixation via acoustic cavitation. Nat Commun (2026). https://doi.org/10.1038/s41467-026-69466-1

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  • Received: 26 July 2025

  • Accepted: 30 January 2026

  • Published: 12 February 2026

  • DOI: https://doi.org/10.1038/s41467-026-69466-1

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