Atomistic Insight on the Charging Energetics in Subnanometer Pore Supercapacitors
Abstract

Electrodes featuring subnanometer pores are favorable to the capacitance and energy density of supercapacitors. However, there is an energy penalty to enter subnanometer pores as ions have to shed part of their solvation shell. The magnitude of such an energy penalty plays a key role in determining the accessibility and charging/discharging of these subnanometer pores. Here, we report on the atomistic simulation of Na+ and Cl− ions entering a polarizable slit pore with a center-to-center width of 0.82 nm. We show that the free energy penalty for these ions to enter the pore is less than 14 kJ/mol for both Na+ and Cl− ions. The surprisingly small energy penalty is caused by the van der Waals attractions between ions and pore walls, the image charge effects, the moderate (19−26%) dehydration of the ions inside the pore, and the strengthened interactions between ions and their hydration water molecules in the subnanometer pore. The results provide strong impetus for further developing nanoporous electrodes featuring subnanometer pores.
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- Md Masuduzzaman, BoHung Kim. Unraveling the Molecular Interface and Boundary Problems in an Electrical Double Layer and Electroosmotic Flow. Langmuir 2022, 38
(23)
, 7244-7255. https://doi.org/10.1021/acs.langmuir.2c00734
- Jesse G. McDaniel. Capacitance of Carbon Nanotube/Graphene Composite Electrodes with [BMIM+][BF4–]/Acetonitrile: Fixed Voltage Molecular Dynamics Simulations. The Journal of Physical Chemistry C 2022, 126
(13)
, 5822-5837. https://doi.org/10.1021/acs.jpcc.2c00256
- Yu Zhang, Boris Dyatkin, Peter T. Cummings. Molecular Investigation of Oxidized Graphene: Anatomy of the Double-Layer Structure and Ion Dynamics. The Journal of Physical Chemistry C 2019, 123
(20)
, 12583-12591. https://doi.org/10.1021/acs.jpcc.9b01617
- Konrad Breitsprecher, Christian Holm, Svyatoslav Kondrat. Charge Me Slowly, I Am in a Hurry: Optimizing Charge–Discharge Cycles in Nanoporous Supercapacitors. ACS Nano 2018, 12
(10)
, 9733-9741. https://doi.org/10.1021/acsnano.8b04785
- Huachao Yang, Xiaoliang Zhang, Jinyuan Yang, Zheng Bo, Ming Hu, Jianhua Yan, and Kefa Cen . Molecular Origin of Electric Double-Layer Capacitance at Multilayer Graphene Edges. The Journal of Physical Chemistry Letters 2017, 8
(1)
, 153-160. https://doi.org/10.1021/acs.jpclett.6b02659
- Justin B. Haskins, James J. Wu, and John W. Lawson . Computational and Experimental Study of Li-Doped Ionic Liquids at Electrified Interfaces. The Journal of Physical Chemistry C 2016, 120
(22)
, 11993-12011. https://doi.org/10.1021/acs.jpcc.6b02449
- Yinghua Qiu, Jian Ma, and Yunfei Chen . Ionic Behavior in Highly Concentrated Aqueous Solutions Nanoconfined between Discretely Charged Silicon Surfaces. Langmuir 2016, 32
(19)
, 4806-4814. https://doi.org/10.1021/acs.langmuir.6b01149
- Yinghua Qiu and Yunfei Chen . Capacitance Performance of Sub-2 nm Graphene Nanochannels in Aqueous Electrolyte. The Journal of Physical Chemistry C 2015, 119
(42)
, 23813-23819. https://doi.org/10.1021/acs.jpcc.5b06401
- Nav Nidhi Rajput, Joshua Monk, and Francisco R. Hung . Ionic Liquids Confined in a Realistic Activated Carbon Model: A Molecular Simulation Study. The Journal of Physical Chemistry C 2014, 118
(3)
, 1540-1553. https://doi.org/10.1021/jp408617j
- R. K. Kalluri, T. A. Ho, J. Biener, M. M. Biener, and A. Striolo . Partition and Structure of Aqueous NaCl and CaCl2 Electrolytes in Carbon-Slit Electrodes. The Journal of Physical Chemistry C 2013, 117
(26)
, 13609-13619. https://doi.org/10.1021/jp4002127
- Nav Nidhi Rajput, Joshua Monk, and Francisco R. Hung . Structure and Dynamics of an Ionic Liquid Confined Inside a Charged Slit Graphitic Nanopore. The Journal of Physical Chemistry C 2012, 116
(27)
, 14504-14513. https://doi.org/10.1021/jp3041617
- Nav Nidhi Rajput, Joshua Monk, Ramesh Singh, and Francisco R. Hung . On the Influence of Pore Size and Pore Loading on Structural and Dynamical Heterogeneities of an Ionic Liquid Confined in a Slit Nanopore. The Journal of Physical Chemistry C 2012, 116
(8)
, 5169-5181. https://doi.org/10.1021/jp212440f
- Tuan A. Ho, D. Argyris, D. R. Cole, and A. Striolo . Aqueous NaCl and CsCl Solutions Confined in Crystalline Slit-Shaped Silica Nanopores of Varying Degree of Protonation. Langmuir 2012, 28
(2)
, 1256-1266. https://doi.org/10.1021/la2036086
- Peng Wu, Jingsong Huang, Vincent Meunier, Bobby G. Sumpter, and Rui Qiao . Complex Capacitance Scaling in Ionic Liquids-Filled Nanopores. ACS Nano 2011, 5
(11)
, 9044-9051. https://doi.org/10.1021/nn203260w
- Guang Feng and Peter T. Cummings . Supercapacitor Capacitance Exhibits Oscillatory Behavior as a Function of Nanopore Size. The Journal of Physical Chemistry Letters 2011, 2
(22)
, 2859-2864. https://doi.org/10.1021/jz201312e
- Takahiro Ohkubo, Masayasu Nishi, and Yasushige Kuroda . Actual Structure of Dissolved Zinc Ion Restricted in Less Than 1 Nanometer Micropores of Carbon. The Journal of Physical Chemistry C 2011, 115
(30)
, 14954-14959. https://doi.org/10.1021/jp2043653
- Raja Kirthi Kalluri, Deepthi Konatham, and Alberto Striolo . Aqueous NaCl Solutions within Charged Carbon-Slit Pores: Partition Coefficients and Density Distributions from Molecular Dynamics Simulations. The Journal of Physical Chemistry C 2011, 115
(28)
, 13786-13795. https://doi.org/10.1021/jp203086x
- Leonardo Morais Da Silva, João Pedro Aguiar dos Santos, Rafael Vicentini, João Pedro Jenson de Oliveira, Gustavo Doubek, Hudson Zanin. Dissipative effects in nonideal supercapacitors and batteries. Journal of Energy Storage 2023, 69 , 107985. https://doi.org/10.1016/j.est.2023.107985
- João Pedro Aguiar dos Santos, Cesar J. B. Pagan, Rafael Vicentini, Reinaldo F. Teófilo, Renato Beraldo, Leonardo M. Da Silva, Hudson Zanin. Ion dynamics into different pore size distributions in supercapacitors under compression. Journal of Energy Chemistry 2023, 80 , 110-119. https://doi.org/10.1016/j.jechem.2022.12.063
- Claudia S. Cox, Valeria Cossich Galicia, Martina Lessio. Computational Investigation of Adsorptive Removal of Pb. Australian Journal of Chemistry 2022, 75
(2)
, 142-154. https://doi.org/10.1071/CH21139
- Rafael Vicentini, Leonardo M. Da Silva, Débora V. Franco, Willian G. Nunes, Juliane Fiates, Gustavo Doubek, Luís F.M. Franco, Renato G. Freitas, Cristiano Fantini, Hudson Zanin. Raman probing carbon & aqueous electrolytes interfaces and molecular dynamics simulations towards understanding electrochemical properties under polarization conditions in supercapacitors. Journal of Energy Chemistry 2021, 60 , 279-292. https://doi.org/10.1016/j.jechem.2021.01.003
- Fikret Aydin, Maira R. Cerón, Steven A. Hawks, Diego I. Oyarzun, Cheng Zhan, Tuan Anh Pham, Michael Stadermann, Patrick G. Campbell. Selectivity of nitrate and chloride ions in microporous carbons: the role of anisotropic hydration and applied potentials. Nanoscale 2020, 12
(39)
, 20292-20299. https://doi.org/10.1039/D0NR04496B
- Musanna Galib, Mohammad Mozammal Hosen, Joyanta K. Saha, Md. Mominul Islam, Shakhawat H. Firoz, Md. Ashiqur Rahman. Electrode surface modification of graphene-MnO2 supercapacitors using molecular dynamics simulations. Journal of Molecular Modeling 2020, 26
(9)
https://doi.org/10.1007/s00894-020-04483-5
- Samuel Delmerico, Jesse G. McDaniel. Free energy barriers for TMEA+, TMA+, and
BF
4
-
ion diffusion through nanoporous carbon electrodes. Carbon 2020, 161 , 550-561. https://doi.org/10.1016/j.carbon.2020.01.100
- Jeongmin Lee, Rakwoo Chang. Saccharide Insertion in Carbon Nanotube: Molecular Dynamics Simulation Studies. Bulletin of the Korean Chemical Society 2020, 41
(4)
, 439-443. https://doi.org/10.1002/bkcs.11988
- Jie Deng, Jing Li, Zhe Xiao, Shuang Song, Luming Li. Studies on Possible Ion-Confinement in Nanopore for Enhanced Supercapacitor Performance in 4V EMIBF4 Ionic Liquids. Nanomaterials 2019, 9
(12)
, 1664. https://doi.org/10.3390/nano9121664
- Sharif Md. Khan, Sharifa Faraezi, Yoshifumi Oya, Kenji Hata, Tomonori Ohba. Anomalous changes of intermolecular distance in aqueous electrolytes in narrow pores of carbon nanotubes. Adsorption 2019, 25
(6)
, 1067-1074. https://doi.org/10.1007/s10450-019-00082-w
- Huachao Yang, Zheng Bo, Jianhua Yan, Kefa Cen. Influence of wettability on the electrolyte electrosorption within graphene-like nonconfined and confined space. International Journal of Heat and Mass Transfer 2019, 133 , 416-425. https://doi.org/10.1016/j.ijheatmasstransfer.2018.12.134
- Z. Lin, E. Goikolea, A. Balducci, K. Naoi, P.L. Taberna, M. Salanne, G. Yushin, P. Simon. Materials for supercapacitors: When Li-ion battery power is not enough. Materials Today 2018, 21
(4)
, 419-436. https://doi.org/10.1016/j.mattod.2018.01.035
- Masayasu Nishi, Takahiro Ohkubo, Masaru Yamasaki, Hideyuki Takagi, Yasushige Kuroda. Surplus adsorption of bromide ion into π-conjugated carbon nanospaces assisted by proton coadsorption. Journal of Colloid and Interface Science 2017, 508 , 415-418. https://doi.org/10.1016/j.jcis.2017.08.066
- Jing Kong, Zheng Bo, Huachao Yang, Jinyuan Yang, Xiaorui Shuai, Jianhua Yan, Kefa Cen. Temperature dependence of ion diffusion coefficients in NaCl electrolyte confined within graphene nanochannels. Physical Chemistry Chemical Physics 2017, 19
(11)
, 7678-7688. https://doi.org/10.1039/C6CP08752C
- Je Hyun Bae, Yun Yu, Michael V. Mirkin. Recessed Nanoelectrodes for Nanogap Voltammetry. ChemElectroChem 2016, 3
(12)
, 2043-2047. https://doi.org/10.1002/celc.201600463
- Takahiro Ohkubo, Tomoko Kusudo, Yasushige Kuroda. Asymmetric hydration structure around calcium ion restricted in micropores fabricated in activated carbons. Journal of Physics: Condensed Matter 2016, 28
(46)
, 464003. https://doi.org/10.1088/0953-8984/28/46/464003
- Alberto Striolo, Angelos Michaelides, Laurent Joly. The Carbon-Water Interface: Modeling Challenges and Opportunities for the Water-Energy Nexus. Annual Review of Chemical and Biomolecular Engineering 2016, 7
(1)
, 533-556. https://doi.org/10.1146/annurev-chembioeng-080615-034455
- Justin B. Haskins, John W. Lawson. Evaluation of molecular dynamics simulation methods for ionic liquid electric double layers. The Journal of Chemical Physics 2016, 144
(18)
https://doi.org/10.1063/1.4948938
- Gengping Jiang, Chi Cheng, Dan Li, Jefferson Zhe Liu. Molecular dynamics simulations of the electric double layer capacitance of graphene electrodes in mono-valent aqueous electrolytes. Nano Research 2016, 9
(1)
, 174-186. https://doi.org/10.1007/s12274-015-0978-5
- Cheng Zhan, Yu Zhang, Peter T. Cummings, De-en Jiang. Enhancing graphene capacitance by nitrogen: effects of doping configuration and concentration. Physical Chemistry Chemical Physics 2016, 18
(6)
, 4668-4674. https://doi.org/10.1039/C5CP06952A
- Zheng Bo, Huachao Yang, Shuo Zhang, Jinyuan Yang, Jianhua Yan, Kefa Cen. Molecular Insights into Aqueous NaCl Electrolytes Confined within Vertically-oriented Graphenes. Scientific Reports 2015, 5
(1)
https://doi.org/10.1038/srep14652
- Céline Merlet, Alexander C. Forse, John M. Griffin, Daan Frenkel, Clare P. Grey. Lattice simulation method to model diffusion and NMR spectra in porous materials. The Journal of Chemical Physics 2015, 142
(9)
https://doi.org/10.1063/1.4913368
- Xi Chen, Baoxing Xu, Ling Liu. Nanoscale Fluid Mechanics and Energy Conversion. Applied Mechanics Reviews 2014, 66
(5)
https://doi.org/10.1115/1.4026913
- Alpha A. Lee, Svyatoslav Kondrat, Alexei A. Kornyshev. Single-File Charge Storage in Conducting Nanopores. Physical Review Letters 2014, 113
(4)
https://doi.org/10.1103/PhysRevLett.113.048701
- Guoping Xiong, Chuizhou Meng, Ronald G. Reifenberger, Pedro P. Irazoqui, Timothy S. Fisher. A Review of Graphene‐Based Electrochemical Microsupercapacitors. Electroanalysis 2014, 26
(1)
, 30-51. https://doi.org/10.1002/elan.201300238
- Guang Feng, Peter T. Cummings. Integrated Experimental and Computational Studies of Energy-relevant Interfaces. Physics Procedia 2014, 53 , 32-38. https://doi.org/10.1016/j.phpro.2014.06.022
- Ryan Burt, Greg Birkett, X. S. Zhao. A review of molecular modelling of electric double layer capacitors. Physical Chemistry Chemical Physics 2014, 16
(14)
, 6519. https://doi.org/10.1039/c3cp55186e
- Ling Liu, Xi Chen. Fast Ion Transport and Phase Separation in a Mechanically Driven Flow of Electrolytes through Tortuous Sub‐Nanometer Nanochannels. ChemPhysChem 2013, 14
(11)
, 2413-2418. https://doi.org/10.1002/cphc.201300201
- R. K. Kalluri, M. M. Biener, M. E. Suss, M. D. Merrill, M. Stadermann, J. G. Santiago, T. F. Baumann, J. Biener, A. Striolo. Unraveling the potential and pore-size dependent capacitance of slit-shaped graphitic carbon pores in aqueous electrolytes. Physical Chemistry Chemical Physics 2013, 15
(7)
, 2309. https://doi.org/10.1039/c2cp43361c
- Masayasu Nishi, Takahiro Ohkubo, Kazuma Tsurusaki, Atsushi Itadani, Bashir Ahmmad, Koki Urita, Isamu Moriguchi, Shigeharu Kittaka, Yasushige Kuroda. Highly compressed nanosolution restricted in cylindrical carbon nanospaces. Nanoscale 2013, 5
(5)
, 2080. https://doi.org/10.1039/c2nr33681b
- Ramesh Singh, Nav Nidhi Rajput, Xiaoxia He, Joshua Monk, Francisco R. Hung. Molecular dynamics simulations of the ionic liquid [EMIM+][TFMSI−] confined inside rutile (110) slit nanopores. Physical Chemistry Chemical Physics 2013, 15
(38)
, 16090. https://doi.org/10.1039/c3cp51266e
- Ling Liu, Hyuck Lim, Weiyi Lu, Yu Qiao, Xi Chen. Mechanical-to-Electric Energy Conversion by Mechanically Driven Flow of Electrolytes Confined in Nanochannels. Applied Physics Express 2013, 6
(1)
, 015202. https://doi.org/10.7567/APEX.6.015202
- Katherine A. Phillips, Jeremy C. Palmer, Keith E. Gubbins. Analysis of the solvation structure of rubidium bromide under nanoconfinement. Molecular Simulation 2012, 38
(14-15)
, 1209-1220. https://doi.org/10.1080/08927022.2012.713484
- Takahiro Ohkubo, Yutaro Takehara, Yasushige Kuroda. Water-initiated ordering around a copper ion of copper acetate confined in slit-shaped carbon micropores. Microporous and Mesoporous Materials 2012, 154 , 82-86. https://doi.org/10.1016/j.micromeso.2011.09.011
- Bin Zhu, Jingjian Li, Dongsheng Xu. Porous biomimetic membranes: fabrication, properties and future applications. Physical Chemistry Chemical Physics 2011, 13
(22)
, 10584. https://doi.org/10.1039/c0cp02757j