- Open Access
Redefining the dielectric response of nanoconfined liquids: Insights from water
Phys. Rev. Research 7, 043101 – Published 27 October, 2025
DOI: https://doi.org/10.1103/qp52-s5d5
Abstract
Recent experiments show that the relative dielectric constant of water confined to a film of nanometric thickness reaches a strikingly low value of 2.1, barely above the bulk's 1.8 value for the purely electronic response. We argue that is not a well-defined measure for dielectric properties at subnanometer scales due to the ambiguous definition of confinement width. Instead, we propose the 2D polarizability as the appropriate, well-defined response function whose magnitude can be directly obtained from both measurements and computations. Once the appropriate description is used, understanding the interplay between electronic and ionic contributions becomes critical, contrary to what is widely assumed. This highlights the importance of electronic degrees of freedom in interpreting the dielectric response of polar fluids under nanoconfinement conditions, as revealed by molecular dynamics simulations.
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References (38)
- L. Fumagalli, A. Esfandiar, R. Fabregas, S. Hu, P. Ares, A. Janardanan, Q. Yang, B. Radha, T. Taniguchi, K. Watanabe et al., Anomalously low dielectric constant of confined water, Science 360, 1339 (2018).
- N. E. Hill, Interpretation of the dielectric properties of water, Trans. Faraday Soc. 59, 344 (1963).
- C. Zhang, F. Gygi, and G. Galli, Strongly anisotropic dielectric relaxation of water at the nanoscale, J. Phys. Chem. Lett. 4, 2477 (2013).
- J. Zubeltzu, F. Corsetti, M. Fernández-Serra, and E. Artacho, Continuous melting through a hexatic phase in confined bilayer water, Phys. Rev. E 93, 062137 (2016).
- S. De Luca, S. K. Kannam, B. Todd, F. Frascoli, J. S. Hansen, and P. J. Daivis, Effects of confinement on the dielectric response of water extends up to mesoscale dimensions, Langmuir 32, 4765 (2016).
- A. Schlaich, E. W. Knapp, and R. R. Netz, Water dielectric effects in planar confinement, Phys. Rev. Lett. 117, 048001 (2016).
- C. Zhang, Note: On the dielectric constant of nanoconfined water, J. Chem. Phys. 148, 156101 (2018).
- G. Monet, F. Bresme, A. Kornyshev, and H. Berthoumieux, Nonlocal dielectric response of water in nanoconfinement, Phys. Rev. Lett. 126, 216001 (2021).
- T. Dufils, C. Schran, J. Chen, A. K. Geim, L. Fumagalli, and A. Michaelides, Origin of dielectric polarization suppression in confined water from first principles, Chem. Sci. 15, 516 (2024).
- F. Deißenbeck and S. Wippermann, Dielectric properties of nanoconfined water from ab initio thermopotentiostat molecular dynamics, J. Chem. Theory Comput. 19, 1035 (2023).
- J.-F. Olivieri, J. T. Hynes, and D. Laage, Confined water's dielectric constant reduction is due to the surrounding low dielectric media and not to interfacial molecular ordering, J. Phys. Chem. Lett. 12, 4319 (2021).
- M. H. Motevaselian and N. R. Aluru, Universal reduction in dielectric response of confined fluids, ACS Nano 14, 12761 (2020).
- V. Ballenegger and J.-P. Hansen, Dielectric permittivity profiles of confined polar fluids, J. Chem. Phys. 122, 114711 (2005).
- D. J. Bonthuis, S. Gekle, and R. R. Netz, Dielectric profile of interfacial water and its effect on double-layer capacitance, Phys. Rev. Lett. 107, 166102 (2011).
- R. Boya, A. Keerthi, and M. S. Parambath, The wonderland of angstrofluidics, Phys. Today 77, 26 (2024).
- T. Tian, D. Scullion, D. Hughes, L. H. Li, C.-J. Shih, J. Coleman, M. Chhowalla, and E. J. Santos, Electronic polarizability as the fundamental variable in the dielectric properties of two-dimensional materials, Nano Lett. 20, 841 (2020).
- L. Colombo, R. Resta, and S. Baroni, Valence-band offsets at strained Si/Ge interfaces, Phys. Rev. B 44, 5572 (1991).
- F. Bresme and E. Artacho, Electronic structure computations of Newton black films, J. Mater. Chem. 20, 10351 (2010).
- C. Zhang and M. Sprik, Computing the dielectric constant of liquid water at constant dielectric displacement, Phys. Rev. B 93, 144201 (2016).
- Both and are rank-two tensors but we are considering one element of the diagonal of the former (), and the latter is a number times the identity tensor for 3D bulk water.
- P. Kumar, S. V. Buldyrev, F. W. Starr, N. Giovambattista, and H. E. Stanley, Thermodynamics, structure, and dynamics of water confined between hydrophobic plates, Phys. Rev. E 72, 051503 (2005).
- R. Zangi, Water confined to a slab geometry: A review of recent computer simulation studies, J. Phys.: Condens. Matter 16, S5371 (2004).
- C. Calero and G. Franzese, Water under extreme confinement in graphene: Oscillatory dynamics, structure, and hydration pressure explained as a function of the confinement width, J. Mol. Liq. 317, 114027 (2020).
- F. Leoni, C. Calero, and G. Franzese, Nanoconfined fluids: Uniqueness of water compared to other liquids, ACS Nano 15, 19864 (2021).
- S. Han, M. Choi, P. Kumar, and H. E. Stanley, Phase transitions in confined water nanofilms, Nat. Phys. 6, 685 (2010).
- J. L. Abascal and C. Vega, A general purpose model for the condensed phases of water: TIP4P/2005, J. Chem. Phys. 123, 234505 (2005).
- The 2D molecular density range of 0.177–0.200 Å corresponds to a 3D mass density range of in Ref. [4].
- A. P. Thompson, H. M. Aktulga, R. Berger, D. S. Bolintineanu, W. M. Brown, P. S. Crozier, P. J. in't Veld, A. Kohlmeyer, S. G. Moore, T. D. Nguyen, R. Shan, M. J. Stevens, J. Tranchida, C. Trott, and S. J. Plimpton, LAMMPS—A flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales, Comput. Phys. Commun. 271, 108171 (2022).
- J. M. Soler, E. Artacho, J. D. Gale, A. García, J. Junquera, P. Ordejón, and D. Sánchez-Portal, The SIESTA method for ab initio order- materials simulations, J. Phys.: Condens. Matter 14, 2745 (2002).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- F. Corsetti, M. Fernández-Serra, J. M. Soler, and E. Artacho, Optimal finite-range atomic basis sets for liquid water and ice, J. Phys.: Condens. Matter 25, 435504 (2013).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/qp52-s5d5 for details on the water monomer polarizability calculations and dipole orientation analysis.
- X. Ge and D. Lu, Molecular polarizability of water from local dielectric response theory, Phys. Rev. B 96, 075114 (2017).
- W. M. Haynes, CRC Handbook of Chemistry and Physics (CRC Press, Boca Raton, FL, 2016).
- A. Manino, G. M. Arvelos, K. Kaushik, P. Ordejon, A. R. Rocha, L. S. Pedroza, and M. Fernández-Serra, Anomalous optical dielectric constant of nanoconfined ice, arXiv:2506.23003.
- M. Becker, P. Loche, M. Rezaei, A. Wolde-Kidan, Y. Uematsu, R. R. Netz, and D. J. Bonthuis, Multiscale modeling of aqueous electric double layers, Chem. Rev. 124, 1 (2023).
- P. Loche, C. Ayaz, A. Wolde-Kidan, A. Schlaich, and R. R. Netz, Universal and nonuniversal aspects of electrostatics in aqueous nanoconfinement, J. Phys. Chem. B 124, 4365 (2020).
- S. Nir, S. Adams, and R. Rein, Polarizability calculations on water, hydrogen, oxygen, and carbon dioxide, J. Chem. Phys. 59, 3341 (1973).