Published February 26, 2025 | Published
Journal Article Open

Recombination of Autodissociated Water Ions in a Nanoscale Pure Water Droplet

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon Schrodinger (United States)
  • 3. ROR icon Lawrence Berkeley National Laboratory

Abstract

The recombination of water ions has diverse scientific and practical implications, ranging from acid-base chemistry and biological systems to planetary environments and applications in fuel cell and carbon conversion technologies. While spatial confinement affects the physicochemical properties of water dynamics, its impact on the recombination process has rarely been studied. In this work, we investigate the dynamics of water, the water ion distribution, and the ion recombination process in water droplets as a function of droplet size through molecular dynamics simulations and adaptive quantum mechanical/molecular mechanical calculations. We compare the dynamics of recombination in water droplet sizes ranging from 100 to 18 000 waters, both in their interiors and on their surfaces. We found that the self-diffusion of water dramatically decreases in droplets with a diameter below 2.2 nm. Using a classical RexPoN force-field, we found that the ions in 1000 H2O's spend almost 50% of the time on the surface and 0.5 nm beneath it with a slight preference for OH- ion to reside longer on the surface. We estimate that, on average, recombination in these drops occurs at 400 ps in 1000 H2O's and 1 ns in 3000 H2O's. We also found that recombination is not limited by the local structure of the surface or the size of the droplet but can be influenced by the geometry of the water wire connecting the ions as they approach each other, which can often prevent recombination. Our results provide insights to the reaction microenvironments presented by nanoscopic water droplets.

Acknowledgement

We thank Karnamohit Ranka (Lawrence Berkeley National Laboratory), Sirui Li (Los Alamos National Laboratory), and Tod Pascal (University of California, San Diego) for helpful discussions and KR for a critical reading of the manuscript. This work was supported by the Liquid Sunlight Alliance, which is supported by the US Department of Energy, Office of Science, Office of Basic Energy Sciences, Fuels from Sunlight Hub under award no. DE-SC0021266 and by an individual fellowship from the Resnick Sustainability Institute at Caltech (S.K.). This work used Stampede3 at Texas Advanced Computing Center through allocation DMR160114 from the Advanced Cyberinfrastructure Coordination Ecosystem: Services & Support (ACCESS) program, which is supported by National Science Foundation grants #2138259, #2138286, #2138307, #2137603, and #2138296. This research also used resources of the National Energy Research Scientific Computing Center; a DOE Office of Science User Facility supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231 using NERSC award BES-ERCAP0024109 for some calculations. Some computations were conducted on the Resnick High Performance Computing Center, a facility supported by Resnick Sustainability Institute at the California Institute of Technology.

Copyright and License

Copyright © 2025 American Chemical Society

Data Availability

The data underlying this study are available in the published article and its online Supporting Information.

Supplemental Material

The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/jacs.4c15103.

  • HOMO–LUMO energy gap in ionic system with different functionals, equilibration temperature and energy trajectories, O–O radial distribution functions for H3O+ and OH, schematics of hydrogen bond (HB) network and its direction for Dijkstra’s algorithm, detailed trajectory of the recombination process, normalized power spectra of H3O+, OH, and H2O and the time-dependent ion trajectories from the RexPoN simulation, the time evolution of the minimum internal angle along the water wire, and details of 2PT analysis (PDF)

  • ReQM dynamics: ion diffusion in the inner region of 18 000 H2O’s, Supporting Movie S1 (MOV)

  • ReQM dynamics: ion diffusion on the surface of 18 000 H2O’s, Supporting Movie S2 (MOV)

  • ReQM dynamics: ion recombination in the inner region of 18 000 H2O’s, Supporting Movie S3 (MOV)

  • ReQM dynamics: ion recombinationon the surface of 18 000 H2O’s, Supporting Movie S4 (MOV)

  • ReQM dynamics: ion recombination in the inner region of 300 H2O’s, Supporting Movie S5 (MOV)

  • ReQM dynamics: ion recombination on the surface of 300 H2O’s, Supporting Movie S6 (MOV)

  • Time-dependent ion distance for H3O+ and OH, wire length for H3O+ and OH, number of hydrogen bonds along the wire for H3O+ and OH, atom ID for H3O+ and OH during ReQM recombination simulations in the inner region and at the surface of 18 000 H2O’s and 300 H2O’s (TXTTXTTXTTXT)

  • ASE python interface for Jaguar (TXT)

  • Python library for QM region sampling of adaptive QM/MM scheme (TXT)

Contributions

S.K. and P.P. contributed equally to this work.

Conflict of Interest

The authors declare no competing financial interest.

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Additional details

Created:
July 16, 2025
Modified:
July 17, 2025