Nonlinear ion transport mediated by induced charge in ultrathin nanoporous membranes

de Souza, J. Pedro; Chow, Chun-Man; Karnik, Rohit; Bazant, Martin Z.

doi:10.1103/physreve.104.044802

Nonlinear ion transport mediated by induced charge in ultrathin nanoporous membranes

Journal Article · Tue Oct 26 00:00:00 EDT 2021 · Physical Review. E

DOI:https://doi.org/10.1103/physreve.104.044802· OSTI ID:1980195

de Souza, J. Pedro ^[1]; ^[2]; ^[2]; Bazant, Martin Z. ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); OSTI
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Ultrathin membranes with nanoporous conduits show promise for ionic separations and desalination applications, but the mechanisms underlying the nonlinear ionic transport observed in these systems are not well understood. Here, in this work, we demonstrate how induced charge at membrane interfaces can lead to nonlinear ionic transport and voltage-dependent conductance through such channels. The application of an electric field on a polarizable membrane leads to induced charges at the membrane interfaces. The induced charges in turn are screened by diffuse charges in the electrolyte, which are acted upon by the electric field. For extremely thin membranes, the induced charge effect can be significant even for moderate applied voltages commonly used in experiments. We apply a continuum Poisson-Nernst-Planck model to characterize the current-voltage behavior of ultrathin membranes over a wide parameter space. The predictions of the model are compared to recent experiments on graphene and MoS₂ membranes in an electric field. We expect the role of induced charge to be especially pronounced in the limit of atomically thin membranes.

View Accepted Manuscript (DOE)

Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0019112

OSTI ID:: 1980195

Journal Information:: Physical Review. E, Journal Name: Physical Review. E Journal Issue: 4 Vol. 104; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (50)

Nanoporous Atomically Thin Graphene Membranes for Desalting and Dialysis Applications Kidambi, Piran R.; Jang, Doojoon; Idrobo, Juan-Carlos Advanced Materials, Vol. 29, Issue 33 https://doi.org/10.1002/adma.201700277	journal	June 2017
Recent advances in nanoporous graphene membrane for gas separation and water purification Sun, Chengzhen; Wen, Boyao; Bai, Bofeng Science Bulletin, Vol. 60, Issue 21 https://doi.org/10.1007/s11434-015-0914-9	journal	November 2015
Modeling Electrolytically Top-Gated Graphene Mišković, Z. L.; Upadhyaya, Nitin Nanoscale Research Letters, Vol. 5, Issue 3 https://doi.org/10.1007/s11671-009-9515-3	journal	January 2010
Towards an understanding of induced-charge electrokinetics at large applied voltages in concentrated solutions Bazant, Martin Z.; Kilic, Mustafa Sabri; Storey, Brian D. Advances in Colloid and Interface Science, Vol. 152, Issue 1-2 https://doi.org/10.1016/j.cis.2009.10.001	journal	November 2009
Induced-charge electrokinetic phenomena Bazant, Martin Z.; Squires, Todd M. Current Opinion in Colloid & Interface Science, Vol. 15, Issue 3 https://doi.org/10.1016/j.cocis.2010.01.003	journal	June 2010
Hydrodynamic interactions in the induced-charge electrophoresis of colloidal rod dispersions Saintillan, David; Darve, Eric; Shaqfeh, Eric S. G. Journal of Fluid Mechanics, Vol. 563 https://doi.org/10.1017/S0022112006001376	journal	September 2006
Insights on the Role of Many-Body Polarization Effects in the Wetting of Graphitic Surfaces by Water Misra, Rahul Prasanna; Blankschtein, Daniel The Journal of Physical Chemistry C, Vol. 121, Issue 50 https://doi.org/10.1021/acs.jpcc.7b08891	journal	December 2017
Ion Transport through Perforated Graphene Ghosh, Mandakranta; Jorissen, Koen F. A.; Wood, Jeffery A. The Journal of Physical Chemistry Letters, Vol. 9, Issue 21 https://doi.org/10.1021/acs.jpclett.8b02771	journal	October 2018
On Induced Surface Charge in Solid-State Nanopores Yao, Yao; Wen, Chenyu; Pham, Ngan H. Langmuir, Vol. 36, Issue 30 https://doi.org/10.1021/acs.langmuir.0c01189	journal	July 2020
Uncovering a Universal Molecular Mechanism of Salt Ion Adsorption at Solid/Water Interfaces Misra, Rahul Prasanna; Blankschtein, Daniel Langmuir, Vol. 37, Issue 2 https://doi.org/10.1021/acs.langmuir.0c02829	journal	January 2021
Single-Layer Graphene Membranes Withstand Ultrahigh Applied Pressure Wang, Luda; Williams, Christopher M.; Boutilier, Michael S. H. Nano Letters, Vol. 17, Issue 5 https://doi.org/10.1021/acs.nanolett.7b00442	journal	April 2017
Angstrom-Size Defect Creation and Ionic Transport through Pores in Single-Layer MoS 2 Thiruraman, Jothi Priyanka; Fujisawa, Kazunori; Danda, Gopinath Nano Letters, Vol. 18, Issue 3 https://doi.org/10.1021/acs.nanolett.7b04526	journal	February 2018
Stable, Temperature-Dependent Gas Mixture Permeation and Separation through Suspended Nanoporous Single-Layer Graphene Membranes Yuan, Zhe; Benck, Jesse D.; Eatmon, Yannick Nano Letters, Vol. 18, Issue 8 https://doi.org/10.1021/acs.nanolett.8b01866	journal	July 2018
Macroscopic Salt Rejection through Electrostatically Gated Nanoporous Graphene Wyss, Roman M.; Tian, Tian; Yazda, Khadija Nano Letters, Vol. 19, Issue 9 https://doi.org/10.1021/acs.nanolett.9b02579	journal	August 2019
Dielectric Properties and Ion Transport in Layered MoS₂ Grown by Vapor-Phase Sulfurization for Potential Applications in Nanoelectronics Belete, Melkamu; Kataria, Satender; Koch, Ulrike ACS Applied Nano Materials, Vol. 1, Issue 11 https://doi.org/10.1021/acsanm.8b01412	journal	October 2018
Molecular Sieving Across Centimeter-Scale Single-Layer Nanoporous Graphene Membranes Boutilier, Michael S. H.; Jang, Doojoon; Idrobo, Juan-Carlos ACS Nano, Vol. 11, Issue 6 https://doi.org/10.1021/acsnano.7b01231	journal	May 2017
Water Desalination across Nanoporous Graphene Cohen-Tanugi, David; Grossman, Jeffrey C. Nano Letters, Vol. 12, Issue 7, p. 3602-3608 https://doi.org/10.1021/nl3012853	journal	June 2012
Large Apparent Electric Size of Solid-State Nanopores Due to Spatially Extended Surface Conduction Lee, Choongyeop; Joly, Laurent; Siria, Alessandro Nano Letters, Vol. 12, Issue 8 https://doi.org/10.1021/nl301412b	journal	July 2012
Selective Ionic Transport through Tunable Subnanometer Pores in Single-Layer Graphene Membranes O’Hern, Sean C.; Boutilier, Michael S. H.; Idrobo, Juan-Carlos Nano Letters, Vol. 14, Issue 3 https://doi.org/10.1021/nl404118f	journal	February 2014
Single-layer MoS2 nanopores as nanopower generators Feng, Jiandong; Graf, Michael; Liu, Ke Nature, Vol. 536, Issue 7615 https://doi.org/10.1038/nature18593	journal	July 2016
Ion selectivity of graphene nanopores Rollings, Ryan C.; Kuan, Aaron T.; Golovchenko, Jene A. Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms11408	journal	April 2016
Selective molecular sieving through porous graphene Koenig, Steven P.; Wang, Luda; Pellegrino, John Nature Nanotechnology, Vol. 7, Issue 11 https://doi.org/10.1038/nnano.2012.162	journal	October 2012
Heterogeneous sub-continuum ionic transport in statistically isolated graphene nanopores Jain, Tarun; Rasera, Benjamin C.; Guerrero, Ricardo Jose S. Nature Nanotechnology, Vol. 10, Issue 12 https://doi.org/10.1038/nnano.2015.222	journal	October 2015
Fundamental transport mechanisms, fabrication and potential applications of nanoporous atomically thin membranes Wang, Luda; Boutilier, Michael S. H.; Kidambi, Piran R. Nature Nanotechnology, Vol. 12, Issue 6 https://doi.org/10.1038/nnano.2017.72	journal	June 2017
Controllable ion transport by surface-charged graphene oxide membrane Zhang, Mengchen; Guan, Kecheng; Ji, Yufan Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-09286-8	journal	March 2019
Nanofluidics, from bulk to interfaces Bocquet, Lydéric; Charlaix, Elisabeth Chem. Soc. Rev., Vol. 39, Issue 3 https://doi.org/10.1039/B909366B	journal	January 2010
Maxwell-Hall access resistance in graphene nanopores Sahu, Subin; Zwolak, Michael Physical Chemistry Chemical Physics, Vol. 20, Issue 7 https://doi.org/10.1039/C7CP07924A	journal	January 2018
Electrolyte effect in induced charge electroosmosis Feng, Huicheng; Huang, Yi; Wong, Teck Neng Soft Matter, Vol. 13, Issue 28 https://doi.org/10.1039/C7SM00787F	journal	January 2017
Voltage gated inter-cation selective ion channels from graphene nanopores Cantley, Lauren; Swett, Jacob L.; Lloyd, David Nanoscale, Vol. 11, Issue 20 https://doi.org/10.1039/C8NR10360G	journal	January 2019
Induced-charge electrokinetics: fundamental challenges and opportunities Squires, Todd M. Lab on a Chip, Vol. 9, Issue 17 https://doi.org/10.1039/b906909g	journal	January 2009
Nitrogen doping of graphene and its effect on quantum capacitance, and a new insight on the enhanced capacitance of N-doped carbon Zhang, Li Li; Zhao, Xin; Ji, Hengxing Energy & Environmental Science, Vol. 5, Issue 11, p. 9618-9625 https://doi.org/10.1039/c2ee23442d	journal	January 2012
Nonlinear electrokinetic ejection and entrainment due to polarization at nearly insulated wedges Thamida, Sunil Kumar; Chang, Hsueh-Chia Physics of Fluids, Vol. 14, Issue 12 https://doi.org/10.1063/1.1519530	journal	December 2002
On electro-osmotic flows through microchannel junctions Yossifon, G.; Frankel, I.; Miloh, T. Physics of Fluids, Vol. 18, Issue 11 https://doi.org/10.1063/1.2391701	journal	November 2006
Symmetry breaking in induced-charge electro-osmosis over polarizable spheroids Yossifon, G.; Frankel, I.; Miloh, T. Physics of Fluids, Vol. 19, Issue 6 https://doi.org/10.1063/1.2746847	journal	June 2007
Carrier statistics and quantum capacitance of graphene sheets and ribbons Fang, Tian; Konar, Aniruddha; Xing, Huili Applied Physics Letters, Vol. 91, Issue 9 https://doi.org/10.1063/1.2776887	journal	August 2007
Molecule-hugging graphene nanopores Garaj, S.; Liu, S.; Golovchenko, J. A. Proceedings of the National Academy of Sciences, Vol. 110, Issue 30 https://doi.org/10.1073/pnas.1220012110	journal	July 2013
Access resistance of a small circular pore Hall, J. E. The Journal of General Physiology, Vol. 66, Issue 4 https://doi.org/10.1085/jgp.66.4.531	journal	October 1975
Hydrodynamic flow in the vicinity of a nanopore induced by an applied voltage Mao, Mao; Ghosal, Sandip; Hu, Guohui Nanotechnology, Vol. 24, Issue 24 https://doi.org/10.1088/0957-4484/24/24/245202	journal	May 2013
Microscopic dielectric permittivities of graphene nanoribbons and graphene Fang, Jingtian; Vandenberghe, William G.; Fischetti, Massimo V. Physical Review B, Vol. 94, Issue 4 https://doi.org/10.1103/PhysRevB.94.045318	journal	July 2016
Effective zero-thickness model for a conductive membrane driven by an electric field Ziebert, Falko; Bazant, Martin Z.; Lacoste, David Physical Review E, Vol. 81, Issue 3 https://doi.org/10.1103/PhysRevE.81.031912	journal	March 2010
Induced-charge electrokinetics, bipolar current, and concentration polarization in a microchannel–Nafion-membrane system Park, Sinwook; Yossifon, Gilad Physical Review E, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevE.93.062614	journal	June 2016
Induced-Charge Electrophoresis of Metallodielectric Particles Gangwal, Sumit; Cayre, Olivier J.; Bazant, Martin Z. Physical Review Letters, Vol. 100, Issue 5 https://doi.org/10.1103/PhysRevLett.100.058302	journal	February 2008
Chaotic Induced-Charge Electro-Osmosis Davidson, Scott M.; Andersen, Mathias B.; Mani, Ali Physical Review Letters, Vol. 112, Issue 12 https://doi.org/10.1103/PhysRevLett.112.128302	journal	March 2014
Induced-Charge Electrokinetic Phenomena: Theory and Microfluidic Applications Bazant, Martin Z.; Squires, Todd M. Physical Review Letters, Vol. 92, Issue 6 https://doi.org/10.1103/PhysRevLett.92.066101	journal	February 2004
Microfluidics: Fluid physics at the nanoliter scale Squires, Todd M.; Quake, Stephen R. Reviews of Modern Physics, Vol. 77, Issue 3 https://doi.org/10.1103/RevModPhys.77.977	journal	October 2005
Etching gas-sieving nanopores in single-layer graphene with an angstrom precision for high-performance gas mixture separation Zhao, J.; He, G.; Huang, S. Science Advances, Vol. 5, Issue 1 https://doi.org/10.1126/sciadv.aav1851	journal	January 2019
The electronic thickness of graphene Rickhaus, Peter; Liu, Ming-Hao; Kurpas, Marcin Science Advances, Vol. 6, Issue 11 https://doi.org/10.1126/sciadv.aay8409	journal	March 2020
Electrostatic and electrokinetic contributions to the elastic moduli of a driven membrane Lacoste, D.; Menon, G. I.; Bazant, M. Z. The European Physical Journal E, Vol. 28, Issue 3 https://doi.org/10.1140/epje/i2008-10433-1	journal	January 2009
Nanoscale Electrokinetics and Microvortices: How Microhydrodynamics Affects Nanofluidic Ion Flux Chang, Hsueh-Chia; Yossifon, Gilad; Demekhin, Evgeny A. Annual Review of Fluid Mechanics, Vol. 44, Issue 1 https://doi.org/10.1146/annurev-fluid-120710-101046	journal	January 2012
Resistance for Flow of Current to a Disk Newman, John Journal of The Electrochemical Society, Vol. 113, Issue 5 https://doi.org/10.1149/1.2424003	journal	January 1966

Similar Records

Dynamic and weak electric double layers in ultrathin nanopores

Journal Article · Wed Mar 31 20:00:00 EDT 2021 · Journal of Chemical Physics · OSTI ID:1852832

Breakdown of electroneutrality in nanopores

Journal Article · Mon Jun 08 20:00:00 EDT 2020 · Journal of Colloid and Interface Science · OSTI ID:1852823

Related Subjects

36 MATERIALS SCIENCE
capacitance
dielectric properties
electrical conductivity
electrochemical properties
graphene
ionic transport

Nonlinear ion transport mediated by induced charge in ultrathin nanoporous membranes

Citation Formats

References (50)

Similar Records

Related Subjects