A Generic Model for Electric Double Layers in Porous Electrodes
Abstract
The performance of electric-double-layer capacitors (EDLCs) hinges on microscopic charge distributions near the electrode/electrolyte interfaces. Whereas practical EDLCs consist of electrodes made of amorphous porous materials, theoretical understanding of EDLCs is mostly based on EDL structure near a planar surface or on simplistic models that have little relevance to realistic systems. In this work, we propose a spherical shell model to account for both pore size and curvature effects of amorphous porous materials. The EDL structure in spherical shells has been investigated over a broad range of pore sizes and curvatures by use of classic density functional theory. Theoretical results reveal that the curvature effects on convex and concave EDLs are drastically different and that materials with extensive convex surfaces will lead to maximized capacitance. Like a slit pore, the spherical shell model also predicts oscillatory variation of capacitance with pore size, but the oscillatory behavior is magnified as the curvature increases. The joint effects of pore size and curvature identified in this work give new insight into materials design for porous electrodes with optimal EDLC performance.
- Authors:
-
- East China Univ. of Science and Technology, Shanghai (China); Univ. of California, Riverside, CA (United States)
- Univ. of California, Riverside, CA (United States)
- East China Univ. of Science and Technology, Shanghai (China)
- Publication Date:
- Research Org.:
- Energy Frontier Research Centers (EFRC) (United States). Fluid Interface Reactions, Structures and Transport Center (FIRST)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1388525
- Grant/Contract Number:
- ERKCC61
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Physical Chemistry. C
- Additional Journal Information:
- Journal Volume: 120; Journal Issue: 16; Related Information: FIRST partners with Oak Ridge National Laboratory (lead); Argonne National Laboratory; Drexel University; Georgia State University; Northwestern University; Pennsylvania State University; Suffolk University; Vanderbilt University; University of Virginia; Journal ID: ISSN 1932-7447
- Publisher:
- American Chemical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; catalysis (heterogeneous); solar (fuels); energy storage (including batteries and capacitors); hydrogen and fuel cells; electrodes - solar; mechanical behavior; charge transport; materials and chemistry by design; synthesis (novel materials)
Citation Formats
Lian, Cheng, Jiang, De-en, Liu, Honglai, and Wu, Jianzhong. A Generic Model for Electric Double Layers in Porous Electrodes. United States: N. p., 2016.
Web. doi:10.1021/acs.jpcc.6b00964.
Lian, Cheng, Jiang, De-en, Liu, Honglai, & Wu, Jianzhong. A Generic Model for Electric Double Layers in Porous Electrodes. United States. https://doi.org/10.1021/acs.jpcc.6b00964
Lian, Cheng, Jiang, De-en, Liu, Honglai, and Wu, Jianzhong. Wed .
"A Generic Model for Electric Double Layers in Porous Electrodes". United States. https://doi.org/10.1021/acs.jpcc.6b00964. https://www.osti.gov/servlets/purl/1388525.
@article{osti_1388525,
title = {A Generic Model for Electric Double Layers in Porous Electrodes},
author = {Lian, Cheng and Jiang, De-en and Liu, Honglai and Wu, Jianzhong},
abstractNote = {The performance of electric-double-layer capacitors (EDLCs) hinges on microscopic charge distributions near the electrode/electrolyte interfaces. Whereas practical EDLCs consist of electrodes made of amorphous porous materials, theoretical understanding of EDLCs is mostly based on EDL structure near a planar surface or on simplistic models that have little relevance to realistic systems. In this work, we propose a spherical shell model to account for both pore size and curvature effects of amorphous porous materials. The EDL structure in spherical shells has been investigated over a broad range of pore sizes and curvatures by use of classic density functional theory. Theoretical results reveal that the curvature effects on convex and concave EDLs are drastically different and that materials with extensive convex surfaces will lead to maximized capacitance. Like a slit pore, the spherical shell model also predicts oscillatory variation of capacitance with pore size, but the oscillatory behavior is magnified as the curvature increases. The joint effects of pore size and curvature identified in this work give new insight into materials design for porous electrodes with optimal EDLC performance.},
doi = {10.1021/acs.jpcc.6b00964},
journal = {Journal of Physical Chemistry. C},
number = 16,
volume = 120,
place = {United States},
year = {Wed Apr 06 00:00:00 EDT 2016},
month = {Wed Apr 06 00:00:00 EDT 2016}
}
Web of Science
Works referenced in this record:
Capacitive Energy Storage in Nanostructured Carbon–Electrolyte Systems
journal, June 2012
- Simon, P.; Gogotsi, Y.
- Accounts of Chemical Research, Vol. 46, Issue 5
A review of molecular modelling of electric double layer capacitors
journal, January 2014
- Burt, Ryan; Birkett, Greg; Zhao, X. S.
- Physical Chemistry Chemical Physics, Vol. 16, Issue 14
A review of electrolyte materials and compositions for electrochemical supercapacitors
journal, January 2015
- Zhong, Cheng; Deng, Yida; Hu, Wenbin
- Chemical Society Reviews, Vol. 44, Issue 21
Graphene-based materials for flexible supercapacitors
journal, January 2015
- Shao, Yuanlong; El-Kady, Maher F.; Wang, Lisa J.
- Chemical Society Reviews, Vol. 44, Issue 11
Capacitive Energy Storage: Current and Future Challenges
journal, August 2015
- Vatamanu, Jenel; Bedrov, Dmitry
- The Journal of Physical Chemistry Letters, Vol. 6, Issue 18
Complex Capacitance Scaling in Ionic Liquids-Filled Nanopores
journal, October 2011
- Wu, Peng; Huang, Jingsong; Meunier, Vincent
- ACS Nano, Vol. 5, Issue 11
Accelerating charging dynamics in subnanometre pores
journal, March 2014
- Kondrat, Svyatoslav; Wu, Peng; Qiao, Rui
- Nature Materials, Vol. 13, Issue 4
Dynamic Charge Storage in Ionic Liquids-Filled Nanopores: Insight from a Computational Cyclic Voltammetry Study
journal, December 2014
- He, Yadong; Huang, Jingsong; Sumpter, Bobby G.
- The Journal of Physical Chemistry Letters, Vol. 6, Issue 1
Carbon/carbon supercapacitors
journal, March 2013
- Frackowiak, Elzbieta; Abbas, Qamar; Béguin, François
- Journal of Energy Chemistry, Vol. 22, Issue 2
Ionic Liquids at Electrified Interfaces
journal, March 2014
- Fedorov, Maxim V.; Kornyshev, Alexei A.
- Chemical Reviews, Vol. 114, Issue 5
Structure and Nanostructure in Ionic Liquids
journal, June 2015
- Hayes, Robert; Warr, Gregory G.; Atkin, Rob
- Chemical Reviews, Vol. 115, Issue 13
On the molecular origin of supercapacitance in nanoporous carbon electrodes
journal, March 2012
- Merlet, Céline; Rotenberg, Benjamin; Madden, Paul A.
- Nature Materials, Vol. 11, Issue 4
Modeling the structural evolution of carbide-derived carbons using quenched molecular dynamics
journal, April 2010
- Palmer, J. C.; Llobet, A.; Yeon, S. -H.
- Carbon, Vol. 48, Issue 4
Modern Theories of Carbon-Based Electrochemical Capacitors: A Short Review
conference, April 2012
- Meunier, Vincent; Huang, Jingsong; Feng, Guang
- ASME 2010 International Mechanical Engineering Congress and Exposition, Volume 11: New Developments in Simulation Methods and Software for Engineering Applications; Safety Engineering, Risk Analysis and Reliability Methods; Transportation Systems
Theoretical Model for Nanoporous Carbon Supercapacitors
journal, January 2008
- Huang, Jingsong; Sumpter, Bobby G.; Meunier, Vincent
- Angewandte Chemie International Edition, Vol. 47, Issue 3
Curvature effects in carbon nanomaterials: Exohedral versus endohedral supercapacitors
journal, August 2010
- Huang, Jingsong; Sumpter, Bobby G.; Meunier, Vincent
- Journal of Materials Research, Vol. 25, Issue 8
Molecular Insights into Carbon Supercapacitors Based on Room-Temperature Ionic Liquids
journal, September 2013
- Feng, Guang; Li, Song; Presser, Volker
- The Journal of Physical Chemistry Letters, Vol. 4, Issue 19
Density functional theory methods for characterization of porous materials
journal, November 2013
- Landers, John; Gor, Gennady Yu.; Neimark, Alexander V.
- Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 437
Dynamic and Structural Properties of Room-Temperature Ionic Liquids near Silica and Carbon Surfaces
journal, July 2013
- Li, Song; Han, Kee Sung; Feng, Guang
- Langmuir, Vol. 29, Issue 31
Effect of cation on diffusion coefficient of ionic liquids at onion-like carbon electrodes
journal, June 2014
- Van Aken, Katherine L.; McDonough, John K.; Li, Song
- Journal of Physics: Condensed Matter, Vol. 26, Issue 28
Mesoscale modeling of electric double layer capacitors with three-dimensional ordered structures
journal, January 2013
- Wang, Hainan; Pilon, Laurent
- Journal of Power Sources, Vol. 221
Structure and dynamics of electrical double layers in organic electrolytes
journal, January 2010
- Feng, Guang; Huang, Jingsong; Sumpter, Bobby G.
- Physical Chemistry Chemical Physics, Vol. 12, Issue 20
Anomalous Increase in Carbon Capacitance at Pore Sizes Less Than 1 Nanometer
journal, September 2006
- Chmiola, J.
- Science, Vol. 313, Issue 5794
Relation between the Ion Size and Pore Size for an Electric Double-Layer Capacitor
journal, March 2008
- Largeot, Celine; Portet, Cristelle; Chmiola, John
- Journal of the American Chemical Society, Vol. 130, Issue 9
A Universal Model for Nanoporous Carbon Supercapacitors Applicable to Diverse Pore Regimes, Carbon Materials, and Electrolytes
journal, July 2008
- Huang, Jingsong; Sumpter, Bobby G.; Meunier, Vincent
- Chemistry - A European Journal, Vol. 14, Issue 22
Capacitance in carbon pores of 0.7 to 15 nm: a regular pattern
journal, January 2011
- Centeno, Teresa A.; Sereda, Olha; Stoeckli, Fritz
- Physical Chemistry Chemical Physics, Vol. 13, Issue 27
Nanoporous Carbon Supercapacitors in an Ionic Liquid: A Computer Simulation Study
journal, March 2010
- Shim, Youngseon; Kim, Hyung J.
- ACS Nano, Vol. 4, Issue 4
A superionic state in nano-porous double-layer capacitors: insights from Monte Carlo simulations
journal, January 2011
- Kondrat, S.; Georgi, N.; Fedorov, M. V.
- Physical Chemistry Chemical Physics, Vol. 13, Issue 23
Dye-sensitized photoelectrochemical cell on plasmonic Ag/AgCl @ chiral TiO 2 nanofibers for treatment of urban wastewater effluents, with simultaneous production of hydrogen and electricity
journal, June 2015
- Wang, Dawei; Li, Yi; Li Puma, Gianluca
- Applied Catalysis B: Environmental, Vol. 168-169
Density functional theory for chemical engineering: From capillarity to soft materials
journal, January 2006
- Wu, Jianzhong
- AIChE Journal, Vol. 52, Issue 3
Density-Functional Theory for Complex Fluids
journal, May 2007
- Wu, Jianzhong; Li, Zhidong
- Annual Review of Physical Chemistry, Vol. 58, Issue 1
Unusual effects of solvent polarity on capacitance for organic electrolytes in a nanoporous electrode
journal, January 2014
- Jiang, De-en; Wu, Jianzhong
- Nanoscale, Vol. 6, Issue 10
Formulation of Ionic-Liquid Electrolyte To Expand the Voltage Window of Supercapacitors
journal, March 2015
- Van Aken, Katherine L.; Beidaghi, Majid; Gogotsi, Yury
- Angewandte Chemie International Edition, Vol. 54, Issue 16
Oscillation of Capacitance inside Nanopores
journal, December 2011
- Jiang, De-en; Jin, Zhehui; Wu, Jianzhong
- Nano Letters, Vol. 11, Issue 12
Microscopic Insights into the Electrochemical Behavior of Nonaqueous Electrolytes in Electric Double-Layer Capacitors
journal, March 2013
- Jiang, De-en; Wu, Jianzhong
- The Journal of Physical Chemistry Letters, Vol. 4, Issue 8
Density Functional Theory for Planar Electric Double Layers: Closing the Gap between Simple and Polyelectrolytes
journal, April 2006
- Li, Zhidong; Wu, Jianzhong
- The Journal of Physical Chemistry B, Vol. 110, Issue 14
Structures of hard-sphere fluids from a modified fundamental-measure theory
journal, December 2002
- Yu, Yang-Xin; Wu, Jianzhong
- The Journal of Chemical Physics, Vol. 117, Issue 22
Double-Layer in Ionic Liquids: Paradigm Change?
journal, May 2007
- Kornyshev, Alexei A.
- The Journal of Physical Chemistry B, Vol. 111, Issue 20
Double Layer in Ionic Liquids: Overscreening versus Crowding
journal, January 2011
- Bazant, Martin Z.; Storey, Brian D.; Kornyshev, Alexei A.
- Physical Review Letters, Vol. 106, Issue 4
Towards understanding the structure and capacitance of electrical double layer in ionic liquids
journal, October 2008
- Fedorov, Maxim V.; Kornyshev, Alexei A.
- Electrochimica Acta, Vol. 53, Issue 23
Density functional theory for differential capacitance of planar electric double layers in ionic liquids
journal, March 2011
- Jiang, De-en; Meng, Dong; Wu, Jianzhong
- Chemical Physics Letters, Vol. 504, Issue 4-6
Curvature Effect on the Capacitance of Electric Double Layers at Ionic Liquid/Onion-Like Carbon Interfaces
journal, February 2012
- Feng, Guang; Jiang, De-en; Cummings, Peter T.
- Journal of Chemical Theory and Computation, Vol. 8, Issue 3
Works referencing / citing this record:
Wettability of ultra-small pores of carbon electrodes by size-asymmetric ionic fluids
journal, February 2020
- Liu, Kun; Wu, Jianzhong
- The Journal of Chemical Physics, Vol. 152, Issue 5
Curvature affects electrolyte relaxation: Studies of spherical and cylindrical electrodes
journal, October 2019
- Janssen, Mathijs
- Physical Review E, Vol. 100, Issue 4
Design of Supercapacitor Electrodes Using Molecular Dynamics Simulations
journal, January 2018
- Bo, Zheng; Li, Changwen; Yang, Huachao
- Nano-Micro Letters, Vol. 10, Issue 2
The effect of different organic solvents on sodium ion storage in carbon nanopores
journal, January 2018
- Karatrantos, Argyrios; Khan, Sharif; Ohba, Tomonori
- Physical Chemistry Chemical Physics, Vol. 20, Issue 9
Time-dependent density functional theory for the charging kinetics of electric double layer containing room-temperature ionic liquids
journal, November 2016
- Lian, Cheng; Zhao, Shuangliang; Liu, Honglai
- The Journal of Chemical Physics, Vol. 145, Issue 20
Impurity effects on ionic-liquid-based supercapacitors
journal, December 2016
- Liu, Kun; Lian, Cheng; Henderson, Douglas
- Molecular Physics, Vol. 115, Issue 4
Computational Insights into Materials and Interfaces for Capacitive Energy Storage
journal, April 2017
- Zhan, Cheng; Lian, Cheng; Zhang, Yu
- Advanced Science, Vol. 4, Issue 7
Lattice model of ionic liquid confined by metal electrodes
journal, May 2018
- Girotto, Matheus; Malossi, Rodrigo M.; dos Santos, Alexandre P.
- The Journal of Chemical Physics, Vol. 148, Issue 19
Hunting ionic liquids with large electrochemical potential windows
journal, November 2018
- Lian, Cheng; Liu, Honglai; Li, Chunzhong
- AIChE Journal, Vol. 65, Issue 2
A first-principles roadmap and limits to design efficient supercapacitor electrode materials
journal, January 2019
- Ali, Basant A.; Allam, Nageh K.
- Physical Chemistry Chemical Physics, Vol. 21, Issue 32
Impurity effects on ionic-liquid-based supercapacitors [Supplemental Data]
dataset, December 2016
- Liu, Kun; Lian, Cheng; Henderson, Douglas
- Figshare-Supplementary information for journal article at DOI: 10.1080/00268976.2016.1271154, 1 PDF (1.13 MB)
Impurity effects on ionic-liquid-based supercapacitors [Supplemental Data]
dataset, December 2016
- Liu, Kun; Lian, Cheng; Henderson, Douglas
- figshare-Supplementary information for journal article at DOI: 10.1080/00268976.2016.1271154, 1 PDF file (1.13 MB)
Design of Supercapacitor Electrodes Using Molecular Dynamics Simulations
journal, January 2018
- Bo, Zheng; Li, Changwen; Yang, Huachao
- Nano-Micro Letters, Vol. 10, Issue 2