1
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Bossa GV, Caetano DLZ. Differential capacitance of curved electrodes: role of hydration interactions and charge regulation. Phys Chem Chem Phys 2024; 26:16774-16781. [PMID: 38819431 DOI: 10.1039/d4cp00372a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/01/2024]
Abstract
The functioning of supercapacitors relies on establishing electrostatic double-layer capacitance across a larger surface area, offering numerous advantages over conventional batteries, such as an extended lifespan and elevated safety standards. The differential capacitance is a fundamental property within the electrical double layer, playing a pivotal role in the advancement of electrical double-layer supercapacitors. In addition to electrostatic interactions, multiple theoretical and experimental studies have indicated that the differential capacitance is influenced by factors such as the physical structure of the electrode, solvent-mediated hydration interactions, and the specific type of electrolyte utilized. In this work, we incorporate hydration interactions into the Poisson-Boltzmann theory to explore curved electrodes whose surfaces can be covered by either acidic or basic groups. We examine how the electrostatic interaction, charge regulation, hydration effects, and the finite size of ions collectively modify the differential capacitance. Furthermore, we explore different scenarios of electrode curvature and how it may be used to achieve larger capacitance depending on the electrolyte type and pH.
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Affiliation(s)
- Guilherme Volpe Bossa
- Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile.
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2
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An R, Wu N, Gao Q, Dong Y, Laaksonen A, Shah FU, Ji X, Fuchs H. Integrative studies of ionic liquid interface layers: bridging experiments, theoretical models and simulations. NANOSCALE HORIZONS 2024; 9:506-535. [PMID: 38356335 DOI: 10.1039/d4nh00007b] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/16/2024]
Abstract
Ionic liquids (ILs) are a class of salts existing in the liquid state below 100 °C, possessing low volatility, high thermal stability as well as many highly attractive solvent and electrochemical capabilities, etc., making them highly tunable for a great variety of applications, such as lubricants, electrolytes, and soft functional materials. In many applications, ILs are first either physi- or chemisorbed on a solid surface to successively create more functional materials. The functions of ILs at solid surfaces can differ considerably from those of bulk ILs, mainly due to distinct interfacial layers with tunable structures resulting in new ionic liquid interface layer properties and enhanced performance. Due to an almost infinite number of possible combinations among the cations and anions to form ILs, the diversity of various solid surfaces, as well as different external conditions and stimuli, a detailed molecular-level understanding of their structure-property relationship is of utmost significance for a judicious design of IL-solid interfaces with appropriate properties for task-specific applications. Many experimental techniques, such as atomic force microscopy, surface force apparatus, and so on, have been used for studying the ion structuring of the IL interface layer. Molecular Dynamics simulations have been widely used to investigate the microscopic behavior of the IL interface layer. To interpret and clarify the IL structure and dynamics as well as to predict their properties, it is always beneficial to combine both experiments and simulations as close as possible. In another theoretical model development to bridge the structure and properties of the IL interface layer with performance, thermodynamic prediction & property modeling has been demonstrated as an effective tool to add the properties and function of the studied nanomaterials. Herein, we present recent findings from applying the multiscale triangle "experiment-simulation-thermodynamic modeling" in the studies of ion structuring of ILs in the vicinity of solid surfaces, as well as how it qualitatively and quantitatively correlates to the overall ILs properties, performance, and function. We introduce the most common techniques behind "experiment-simulation-thermodynamic modeling" and how they are applied for studying the IL interface layer structuring, and we highlight the possibilities of the IL interface layer structuring in applications such as lubrication and energy storage.
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Affiliation(s)
- Rong An
- Herbert Gleiter Institute of Nanoscience, School of Materials Science and Engineering, Nanjing University of Science and Technology, Nanjing 210094, China.
| | - Nanhua Wu
- Key Laboratory of Advanced Catalytic Materials and Technology, School of Petrochemical Engineering, Changzhou University, Changzhou 213164, China
| | - Qingwei Gao
- College of Environmental and Chemical Engineering, Shanghai Key Laboratory of Materials Protection and Advanced Materials in Electric Power, Shanghai University of Electric Power, Shanghai 200090, China
| | - Yihui Dong
- Department of Molecular Chemistry and Materials Science, Weizmann Institute of Science, Rehovot, 76100, Israel
| | - Aatto Laaksonen
- Energy Engineering, Division of Energy Science, Luleå University of Technology, 97187 Luleå, Sweden.
- Department of Materials and Environmental Chemistry, Arrhenius Laboratory, Stockholm University, SE-10691 Stockholm, Sweden.
- Center of Advanced Research in Bionanoconjugates and Biopolymers, ''Petru Poni" Institute of Macromolecular Chemistry, Iasi 700469, Romania
- State Key Laboratory of Materials-Oriented and Chemical Engineering, Nanjing Tech University, Nanjing 211816, China
| | - Faiz Ullah Shah
- Chemistry of Interfaces, Luleå University of Technology, 97187 Luleå, Sweden
| | - Xiaoyan Ji
- Energy Engineering, Division of Energy Science, Luleå University of Technology, 97187 Luleå, Sweden.
| | - Harald Fuchs
- Herbert Gleiter Institute of Nanoscience, School of Materials Science and Engineering, Nanjing University of Science and Technology, Nanjing 210094, China.
- Center for Nanotechnology (CeNTech), Westfälische Wilhelms-Universität Münster, 48149 Münster, Germany.
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3
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Ntim S, Sulpizi M. Differential Capacitance of Ionic Liquid Confined between Metallic Interfaces. J Phys Chem B 2024; 128:1936-1942. [PMID: 38378468 DOI: 10.1021/acs.jpcb.3c08042] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/22/2024]
Abstract
We present here a detailed analysis of the electric double layer at the gold electrode/[BMIM][BF4] interface using a polarizable model for the electrode, based on our recent approach to include image charges [Geada et al. Nat. Commun. 2018, 9, 716]. A double bell (camel) shape is obtained for the differential capacitance, where the inclusion of metal polarization allows for a higher density of ions in the double layer, particularly around the maxima, thereby increasing the capacitance. The charging mechanism differs for the positive and negative electrodes, with counterion adsorption prevailing at the anode and co-ion desorption prevailing at the cathode. The charging mechanism is predominantly governed by the BF4 anions, serving as counterions and co-ions at the anode and cathode, respectively. Within the considered range of potentials, only minor changes are observed in the dynamical properties, specifically in the diffusion coefficients. Notably, it is interesting to observe that bulk properties are restored at a shorter distance from the gold surface in the case of the anode compared to the cathode.
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Affiliation(s)
- Samuel Ntim
- Insitut für Physik, Johannes Gutenber Universität, Staudingerweg 7, Mainz 55128, Germany
| | - Marialore Sulpizi
- Insitut für Physik, Ruhr Universität Bochum, Universitätstrasse 150, Bochum 44801, Germany
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4
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Zhou J, Jing G, Zhao T, Tian F, Xu X, Zhao S. Unraveling Flow Effect on Capacitive Energy Extraction from Salinity Gradients. ACS APPLIED MATERIALS & INTERFACES 2024; 16:10052-10060. [PMID: 38367217 DOI: 10.1021/acsami.3c16738] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/19/2024]
Abstract
The harvesting of salinity gradient energy through a capacitive double-layer expansion (CDLE) technique is directly associated with ion adsorption and desorption in electrodes. Herein, we show that energy extraction can be modulated by regulating ion adsorption/desorption through water flow. The flow effects on the output energy, capacitance, and energy density under practical conditions are systematically investigated from a theoretical perspective, upon which the optimal operating condition is identified for energy extraction. We demonstrate that the net charge accumulation displays a negative correlation with the water flow velocity and so does the surface charge density, and this causes a nontrivial variation in the magnitude of output energy when water flows are introduced. When high water flows are introduced in both the charging and discharging processes, the energy extraction can be significantly reduced by 47.69-49.32%. However, when a high flow is solely exerted in the discharging process, the energy extraction can be enhanced by 12.94-14.49% even at low operation voltages. This study not only offers a comprehensive understanding of the microscopic mechanisms of surface-engineered energy extraction with water flows but also provides a novel direction for energy extraction enhancement.
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Affiliation(s)
- Jingmin Zhou
- Guangxi Key Laboratory of Petrochemical Resource Processing and Process Intensification Technology and School of Chemistry and Chemical Engineering, Guangxi University, Nanning 530004, China
| | - Gang Jing
- State Key Laboratory of Chemical Engineering and School of Chemical Engineering, East China University of Science and Technology, Shanghai 200237, China
| | - Teng Zhao
- State Key Laboratory of Chemical Engineering and School of Chemical Engineering, East China University of Science and Technology, Shanghai 200237, China
- Institute of Natural Sciences, Shanghai National Center for Applied Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China
| | - Fengrui Tian
- State Key Laboratory of Chemical Engineering and School of Chemical Engineering, East China University of Science and Technology, Shanghai 200237, China
| | - Xiaofei Xu
- State Key Laboratory of Chemical Engineering and School of Chemical Engineering, East China University of Science and Technology, Shanghai 200237, China
| | - Shuangliang Zhao
- Guangxi Key Laboratory of Petrochemical Resource Processing and Process Intensification Technology and School of Chemistry and Chemical Engineering, Guangxi University, Nanning 530004, China
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5
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Khlyupin A, Nesterova I, Gerke K. Molecular scale roughness effects on electric double layer structure in asymmetric ionic liquids. Electrochim Acta 2023. [DOI: 10.1016/j.electacta.2023.142261] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/03/2023]
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6
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Han F, Zhao J, Bian Y, Guo J, Chen L. Electro mitigation of calcium carbonate and calcium sulfate scaling in an optimized thermal conductive membrane distillation process. Sep Purif Technol 2023. [DOI: 10.1016/j.seppur.2023.123796] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/08/2023]
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7
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Xu J, Cheng J, Yang J, Tao H, Wang S, Lv W, Ma K, Lian C, Liu H. The charge regulation of surfactants on the rock surface in nanoconfinement: A reaction-coupling fluid density functional theory study. Chem Eng Sci 2023. [DOI: 10.1016/j.ces.2023.118718] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/09/2023]
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8
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Gan Z, Wang Y, Lu Y, Qin J, Nie Y, He H. Insight into the camel‐to‐bell transition of differential capacitance in ionic liquids‐based supercapacitor. ChemElectroChem 2022. [DOI: 10.1002/celc.202200274] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Zhongdong Gan
- Institute of Process Engineering Chinese Academy of Sciences Ionic liquid department CHINA
| | - Yanlei Wang
- Institute of Process Engineering Chinese Academy of Sciences Ionic LIquid and Clean Process Beiertiao #1,Zhongguancun, Haidian District 100190 Beijing CHINA
| | - Yumiao Lu
- Institute of Process Engineering Chinese Academy of Sciences Ionic liquid department CHINA
| | - Jingyu Qin
- Institute of Process Engineering Chinese Academy of Sciences Ionic liquid department CHINA
| | - Yi Nie
- Institute of Process Engineering Chinese Academy of Sciences Ionic liquid department CHINA
| | - Hongyan He
- Institute of Process Engineering Chinese Academy of Sciences Ionic liquid department CHINA
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9
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Enhanced oil recovery by sacrificing polyelectrolyte to reduce surfactant adsorption: a classical density functional theory study. Chem Eng Sci 2022. [DOI: 10.1016/j.ces.2022.117957] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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10
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Jeanmairet G, Rotenberg B, Salanne M. Microscopic Simulations of Electrochemical Double-Layer Capacitors. Chem Rev 2022; 122:10860-10898. [PMID: 35389636 PMCID: PMC9227719 DOI: 10.1021/acs.chemrev.1c00925] [Citation(s) in RCA: 45] [Impact Index Per Article: 22.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/03/2021] [Indexed: 12/19/2022]
Abstract
Electrochemical double-layer capacitors (EDLCs) are devices allowing the storage or production of electricity. They function through the adsorption of ions from an electrolyte on high-surface-area electrodes and are characterized by short charging/discharging times and long cycle-life compared to batteries. Microscopic simulations are now widely used to characterize the structural, dynamical, and adsorption properties of these devices, complementing electrochemical experiments and in situ spectroscopic analyses. In this review, we discuss the main families of simulation methods that have been developed and their application to the main family of EDLCs, which include nanoporous carbon electrodes. We focus on the adsorption of organic ions for electricity storage applications as well as aqueous systems in the context of blue energy harvesting and desalination. We finally provide perspectives for further improvement of the predictive power of simulations, in particular for future devices with complex electrode compositions.
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Affiliation(s)
- Guillaume Jeanmairet
- Sorbonne
Université, CNRS, Physico-chimie
des Électrolytes et Nanosystèmes Interfaciaux, PHENIX, F-75005 Paris, France
- Réseau
sur le Stockage Electrochimique de l’Energie (RS2E), FR CNRS
3459, 80039 Amiens, France
| | - Benjamin Rotenberg
- Sorbonne
Université, CNRS, Physico-chimie
des Electrolytes et Nanosystèmes Interfaciaux, PHENIX, F-75005 Paris, France
- Réseau
sur le Stockage Électrochimique de l’Énergie
(RS2E), FR CNRS 3459, 80039 Amiens, France
| | - Mathieu Salanne
- Réseau
sur le Stockage Electrochimique de l’Energie (RS2E), FR CNRS
3459, 80039 Amiens, France
- Sorbonne
Université, CNRS, Physico-chimie
des Electrolytes et Nanosystèmes Interfaciaux, PHENIX, F-75005 Paris, France
- Institut
Universitaire de France (IUF), 75231 Paris Cedex 05, France
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11
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Wu J. Understanding the Electric Double-Layer Structure, Capacitance, and Charging Dynamics. Chem Rev 2022; 122:10821-10859. [PMID: 35594506 DOI: 10.1021/acs.chemrev.2c00097] [Citation(s) in RCA: 128] [Impact Index Per Article: 64.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Abstract
Significant progress has been made in recent years in theoretical modeling of the electric double layer (EDL), a key concept in electrochemistry important for energy storage, electrocatalysis, and multitudes of other technological applications. However, major challenges remain in understanding the microscopic details of the electrochemical interface and charging mechanisms under realistic conditions. This review delves into theoretical methods to describe the equilibrium and dynamic responses of the EDL structure and capacitance for electrochemical systems commonly deployed for capacitive energy storage. Special emphasis is given to recent advances that intend to capture the nonclassical EDL behavior such as oscillatory ion distributions, polarization of nonmetallic electrodes, charge transfer, and various forms of phase transitions in the micropores of electrodes interfacing with an organic electrolyte or ionic liquid. This comprehensive analysis highlights theoretical insights into predictable relationships between materials characteristics and electrochemical performance and offers a perspective on opportunities for further development toward rational design and optimization of electrochemical systems.
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Affiliation(s)
- Jianzhong Wu
- Department of Chemical and Environmental Engineering, University of California, Riverside, California 92521, United States
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12
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de Souza JP, Pivnic K, Bazant MZ, Urbakh M, Kornyshev AA. Structural Forces in Ionic Liquids: The Role of Ionic Size Asymmetry. J Phys Chem B 2022; 126:1242-1253. [PMID: 35134297 PMCID: PMC9007453 DOI: 10.1021/acs.jpcb.1c09441] [Citation(s) in RCA: 18] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/01/2021] [Revised: 01/04/2022] [Indexed: 11/29/2022]
Abstract
Ionic liquids (ILs) are charged fluids composed of anions and cations of different size and shape. The ordering of charge and density in ILs confined between charged interfaces underlies numerous applications of IL electrolytes. Here, we analyze the screening behavior and the resulting structural forces of a representative IL confined between two charge-varied plates. Using both molecular dynamics simulations and a continuum theory, we contrast the screening features of a more-realistic asymmetric system and a less-realistic symmetric one. The ionic size asymmetry plays a nontrivial role in charge screening, affecting both the ionic density profiles and the disjoining pressure distance dependence. Ionic systems with size asymmetry are stronger coupled systems, and this manifests itself both in their response to the electrode polarization and spontaneous structure formation at the interface. Analytical expressions for decay lengths of the disjoining pressure are obtained in agreement with the pressure profiles computed from molecular dynamics simulations.
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Affiliation(s)
- J. Pedro de Souza
- Department
of Chemical Engineering, Massachusetts Institute
of Technology, Cambridge, Massachusetts 02139, United States
| | - Karina Pivnic
- School
of Chemistry, The Sackler Center for Computational Molecular and Materials
Science, Tel Aviv University, Tel Aviv, 6997801, Israel
| | - Martin Z. Bazant
- Department
of Chemical Engineering, Massachusetts Institute
of Technology, Cambridge, Massachusetts 02139, United States
- Department
of Mathematics, Massachusetts Institute
of Technology, Cambridge, Massachusetts 02139, United States
| | - Michael Urbakh
- School
of Chemistry, The Sackler Center for Computational Molecular and Materials
Science, Tel Aviv University, Tel Aviv, 6997801, Israel
| | - Alexei A. Kornyshev
- Department
of Chemistry, Molecular Sciences Research Hub, Imperial College London, London, W12 0BZ 2AZ, United Kingdom
- Thomas
Young Centre for Theory and Simulation of Materials, Imperial College London, South Kensington Campus, London, SW7 2AZ, United Kingdom
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13
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Qing L, Jiang J. Double-Edged Sword of Ion-Size Asymmetry in Energy Storage of Supercapacitors. J Phys Chem Lett 2022; 13:1438-1445. [PMID: 35129327 DOI: 10.1021/acs.jpclett.1c03900] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
The advanced supercapacitor is of great significance for renewable energy storage. Achieving its high energy and high power densities remains a huge challenge. Herein, the contribution of ion-size asymmetry to the charging behavior of a supercapacitor is systematically studied using time-dependent density functional theory (TDDFT). We track the time evolution of the ionic microstructure inside the porous electrode and its reservoir and reveal a kinetic charge inversion in the asymmetrical ion-size cases. Compared with the symmetrical ion-size case, we find that the ion-size asymmetry has a double-edged sword effect on the energy storage of a supercapacitor: it accelerates the charging process yet reduces the differential capacitance. Additionally, the energy density and power density can simultaneously increase in the asymmetrical cases, which provides important insights toward the experimental design of supercapacitors with high energy and high power densities.
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Affiliation(s)
- Leying Qing
- Beijing National Laboratory for Molecular Sciences, State Key Laboratory of Polymer Physics and Chemistry, Institute of Chemistry, Chinese Academy of Sciences, Beijing 100190, P.R. China
| | - Jian Jiang
- Beijing National Laboratory for Molecular Sciences, State Key Laboratory of Polymer Physics and Chemistry, Institute of Chemistry, Chinese Academy of Sciences, Beijing 100190, P.R. China
- University of Chinese Academy of Sciences, Beijing 100049, P.R. China
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14
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Budkov YA, Kalikin NN, Kolesnikov AL. Electrochemistry meets polymer physics: polymerized ionic liquids on an electrified electrode. Phys Chem Chem Phys 2021; 24:1355-1366. [PMID: 34935795 DOI: 10.1039/d1cp04221a] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Abstract
Polymeric ionic liquids are emerging polyelectrolyte materials for modern electrochemical applications. In this paper, we propose a self-consistent field theory of a polymeric ionic liquid on a charged conductive electrode. Taking into account the conformational entropy of rather long polymerized cations within the Lifshitz theory and electrostatic and excluded volume interactions of ionic species within the mean-field approximation, we obtain a system of self-consistent field equations for the local electrostatic potential and average concentrations of monomeric units and counterions. We solve these equations in the linear approximation for the cases of a point-like charge and a flat infinite uniformly charged electrode immersed in a polymeric ionic liquid and derive analytical expressions for local ionic concentrations and electrostatic potential, and derive an analytical expression for the linear differential capacitance of the electric double layer. We also find a numerical solution to the self-consistent field equations for two types of boundary conditions for the local polymer concentration on the electrode, corresponding to the cases of the specific adsorption absence (indifferent surface) and strong short-range repulsion of the monomeric units near the charged surface (hard wall case). For both cases, we investigate the behavior of differential capacitance as a function of applied voltage for a pure polymeric ionic liquid and a polymeric ionic liquid dissolved in a polar organic solvent. We observe that the differential capacitance profile shape is strongly sensitive to the adopted boundary condition for the local polymer concentration on the electrode.
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Affiliation(s)
- Yury A Budkov
- School of Applied Mathematics, HSE University, Tallinskaya st. 34, 123458 Moscow, Russia. .,G. A. Krestov Institute of Solution Chemistry of the Russian Academy of Sciences, 153045, Akademicheskaya st. 1, Ivanovo, Russia
| | - Nikolai N Kalikin
- School of Applied Mathematics, HSE University, Tallinskaya st. 34, 123458 Moscow, Russia. .,G. A. Krestov Institute of Solution Chemistry of the Russian Academy of Sciences, 153045, Akademicheskaya st. 1, Ivanovo, Russia
| | - Andrei L Kolesnikov
- Institut für Nichtklassische Chemie e. V., Permoserstr. 15, 04318 Leipzig, Germany
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15
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Cats P, van Roij R. The differential capacitance as a probe for the electric double layer structure and the electrolyte bulk composition. J Chem Phys 2021; 155:104702. [PMID: 34525830 DOI: 10.1063/5.0064315] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
In this work, we theoretically study the differential capacitance of an aqueous electrolyte in contact with a planar electrode, using classical density functional theory, and show how this measurable quantity can be used as a probe to better understand the structure and composition of the electric double layer at play. Specifically, we show how small trace amounts of divalent ions can influence the differential capacitance greatly and also how small ions dominate its behavior for high electrode potentials. In this study, we consider primitive model electrolytes and not only use the standard definition of the differential capacitance but also derive a new expression from mechanical equilibrium in a planar geometry. This expression reveals explicitly that the first layer of ions near the charged surface is key to its understanding. Our insights might be used as a guide in experiments to better understand the electrolyte-electrode interface as well as the (composition of the) bulk electrolyte.
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Affiliation(s)
- Peter Cats
- Institute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University, Princetonplein 5, Utrecht 3584 CC, The Netherlands
| | - René van Roij
- Institute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University, Princetonplein 5, Utrecht 3584 CC, The Netherlands
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16
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Qing L, Long T, Yu H, Li Y, Tang W, Bao B, Zhao S. Quantifying ion desolvation effects on capacitances of nanoporous electrodes with liquid electrolytes. Chem Eng Sci 2021. [DOI: 10.1016/j.ces.2021.116662] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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17
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Cats P, Sitlapersad RS, den Otter WK, Thornton AR, van Roij R. Capacitance and Structure of Electric Double Layers: Comparing Brownian Dynamics and Classical Density Functional Theory. J SOLUTION CHEM 2021. [DOI: 10.1007/s10953-021-01090-7] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Abstract
AbstractWe present a study of the structure and differential capacitance of electric double layers of aqueous electrolytes. We consider electric double layer capacitors (EDLC) composed of spherical cations and anions in a dielectric continuum confined between a planar cathode and anode. The model system includes steric as well as Coulombic ion-ion and ion-electrode interactions. We compare results of computationally expensive, but “exact” , Brownian Dynamics (BD) simulations with approximate, but cheap, calculations based on classical Density Functional Theory (DFT). Excellent overall agreement is found for a large set of system parameters, including variations in concentration, ionic size- and valency-asymmetries, applied voltages and electrode separation, provided the differences between the canonical ensemble of the BD simulations and the grand-canonical ensemble of DFT are properly taken into account. In particular, a careful distinction is made between the differential capacitance $$C_N$$
C
N
at fixed number of ions and $$C_\mu $$
C
μ
at fixed ionic chemical potential. Furthermore, we derive and exploit their thermodynamic relations. In the future these relations will also be useful for comparing and contrasting experimental data with theories for supercapactitors and other systems. The quantitative agreement between simulation and theory indicates that the presented DFT is capable of accounting accurately for coupled Coulombic and packing effects. Hence it is a promising candidate to cheaply study room temperature ionic liquids at much lower dielectric constants than that of water.
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18
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A new regularity used to predict the camel-bell shape transition in the capacitance curve of electric double layer capacitors. J APPL ELECTROCHEM 2021. [DOI: 10.1007/s10800-021-01571-z] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
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19
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Yang J, Gallegos A, Lian C, Deng S, Liu H, Wu J. Curvature effects on electric-double-layer capacitance. Chin J Chem Eng 2021. [DOI: 10.1016/j.cjche.2020.10.039] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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20
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Model of electrical double layer structure at semi-metallic electrode/ionic liquid interface. Electrochim Acta 2021. [DOI: 10.1016/j.electacta.2020.137555] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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21
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Qing L, Zhao S, Wang ZG. Surface Charge Density in Electrical Double Layer Capacitors with Nanoscale Cathode-Anode Separation. J Phys Chem B 2021; 125:625-636. [PMID: 33405923 DOI: 10.1021/acs.jpcb.0c09332] [Citation(s) in RCA: 12] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023]
Abstract
Using a dynamic density functional theory, we study the charging dynamics, the final equilibrium structure, and the energy storage in an electrical double layer capacitor with nanoscale cathode-anode separation in a slit geometry. We derive a simple expression for the surface charge density that naturally separates the effects of the charge polarization due to the ions from those due to the polarization of the dielectric medium and allows a more intuitive understanding of how the ion distribution within the cell affects the surface charge density. We find that charge neutrality in the half-cell does not hold during the dynamic charging process for any cathode-anode separation, and also does not hold at the final equilibrium state for small separations. Therefore, the charge accumulation in the half-cell in general does not equal the surface charge density. The relationships between the surface charge density and the charge accumulation within the half-cell are systematically investigated by tuning the electrolyte concentration, cathode-anode separation, and applied voltage. For high electrolyte concentrations, we observe charge inversion at which the charge accumulation exceeds the surface charge at special values of the separation. In addition, we find that the energy density has a maximum at intermediate electrolyte concentrations for a high applied voltage.
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Affiliation(s)
- Leying Qing
- State Key Laboratory of Chemical Engineering and School of Chemical Engineering, East China University of Science and Technology, Shanghai, 200237, China.,Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, United States
| | - Shuangliang Zhao
- State Key Laboratory of Chemical Engineering and School of Chemical Engineering, East China University of Science and Technology, Shanghai, 200237, China.,Guangxi Key Laboratory of Petrochemical Resource Processing and Process Intensification Technology and School of Chemistry and Chemical Engineering, Guangxi University, Nanning, 530004, China
| | - Zhen-Gang Wang
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, United States
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22
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Yang J, Lian C, Liu H. Chain length matters: Structural transition and capacitance of room temperature ionic liquids in nanoporous electrodes. Chem Eng Sci 2020. [DOI: 10.1016/j.ces.2020.115927] [Citation(s) in RCA: 17] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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23
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24
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Chao H, Wang ZG. Effects of Surface Transition and Adsorption on Ionic Liquid Capacitors. J Phys Chem Lett 2020; 11:1767-1772. [PMID: 32040914 DOI: 10.1021/acs.jpclett.0c00023] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Room-temperature ionic liquids (RTILs) are synthetic electrolytes with electrochemical stability superior to that of conventional aqueous-based electrolytes, allowing a significantly enlarged electrochemical window for application as capacitors. In this study, we propose a variant of an existing RTIL model for solvent-free RTILs, accounting for both ion-ion correlations and nonelectrostatic interactions. Using this model, we explore the phenomenon of spontaneous surface charge separation in RTIL capacitors and find that this transition is a common feature for realistic choices of the model parameters in most RTILs. In addition, we investigate the effects of asymmetric preferential ion adsorption on this charge separation transition and find that proximity of the transition in this case can result in greatly enhanced energy storage. Our work suggests that differential chemical treatment of electrodes can be a simple and useful means for optimizing energy storage in RTIL capacitors.
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Affiliation(s)
- Huikuan Chao
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, United States
| | - Zhen-Gang Wang
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, United States
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25
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Heo M, Shin GR, Kim SC. Capacitance of electrolytes with hydration-mediated interaction in planar electric double layers. Mol Phys 2020. [DOI: 10.1080/00268976.2019.1610196] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- Minhye Heo
- Department of Physics, Andong National University, Andong, Korea
| | - Ghi Ryang Shin
- Department of Physics, Andong National University, Andong, Korea
| | - Soon-Chul Kim
- Department of Physics, Andong National University, Andong, Korea
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26
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Qiao C, Zhang J, Jiang P, Zhao S, Song X, Yu J. A molecular approach for predicting phase diagrams of ternary aqueous saline solutions. Chem Eng Sci 2020. [DOI: 10.1016/j.ces.2019.115278] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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27
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Jeanmairet G, Rotenberg B, Borgis D, Salanne M. Study of a water-graphene capacitor with molecular density functional theory. J Chem Phys 2019; 151:124111. [DOI: 10.1063/1.5118301] [Citation(s) in RCA: 21] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Guillaume Jeanmairet
- Sorbonne Université, CNRS, Physico-Chimie des Électrolytes et Nanosystèmes Interfaciaux, PHENIX, F-75005 Paris, France
- Réseau sur le Stockage Électrochimique de l’Énergie (RS2E), FR CNRS 3459, 80039 Amiens Cedex, France
| | - Benjamin Rotenberg
- Sorbonne Université, CNRS, Physico-Chimie des Électrolytes et Nanosystèmes Interfaciaux, PHENIX, F-75005 Paris, France
- Réseau sur le Stockage Électrochimique de l’Énergie (RS2E), FR CNRS 3459, 80039 Amiens Cedex, France
| | - Daniel Borgis
- PASTEUR, Département de chimie, École normale supérieure, PSL University, Sorbonne Université, CNRS, 75005 Paris, France
- Maison de la Simulation, CEA, CNRS, Université Paris-Sud, UVSQ, Université Paris-Saclay, 91191 Gif-sur-Yvette, France
| | - Mathieu Salanne
- Sorbonne Université, CNRS, Physico-Chimie des Électrolytes et Nanosystèmes Interfaciaux, PHENIX, F-75005 Paris, France
- Réseau sur le Stockage Électrochimique de l’Énergie (RS2E), FR CNRS 3459, 80039 Amiens Cedex, France
- Maison de la Simulation, CEA, CNRS, Université Paris-Sud, UVSQ, Université Paris-Saclay, 91191 Gif-sur-Yvette, France
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28
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Gallegos A, Lian C, Dyatkin B, Wu J. Side-chain effects on the capacitive behaviour of ionic liquids in microporous electrodes. Mol Phys 2019. [DOI: 10.1080/00268976.2019.1650210] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023]
Affiliation(s)
- Alejandro Gallegos
- Department of Chemical and Environmental Engineering, University of California, Riverside, CA, USA
| | - Cheng Lian
- State Key Laboratory of Chemical Engineering, East China University of Science and Technology, Shanghai, PR People’s Republic of China
| | - Boris Dyatkin
- A.J. Drexel Nanomaterials Institute and the Department of Materials Science and Engineering, Drexel University, Philadelphia, PA, USA
| | - Jianzhong Wu
- Department of Chemical and Environmental Engineering, University of California, Riverside, CA, USA
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29
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Curvature dependence of the camel-bell curve transition on the capacitance curve of spherical electric double-layer in porous electrodes: Density Functional Theory. Electrochim Acta 2019. [DOI: 10.1016/j.electacta.2019.05.038] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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30
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Qing L, Li Y, Tang W, Zhang D, Han Y, Zhao S. Dynamic Adsorption of Ions into Like-Charged Nanospace: A Dynamic Density Functional Theory Study. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2019; 35:4254-4262. [PMID: 30839219 DOI: 10.1021/acs.langmuir.9b00088] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
The adsorption processes of ions into charged nanospace are associated with many practical applications. Whereas a large number of microporous materials have been prepared toward efficient adsorption of ions from solutions, theoretical models that allow for capturing the characteristics of ion dynamic adsorption into like-charged nanopores are still few. The difficulty originates from the overlapping of electric potentials inside the pores. Herein, a theoretical model is proposed by incorporating dynamic density functional theory with modified Poisson equation for investigating the dynamic adsorption of ions into like-charged nanoslits. This model is rationalized by comparing the theoretical predictions with corresponding simulation results. Afterward, by analyzing the adsorption dynamics, we show that the overlapping effect is associated with the pore size, ion bulk concentration, and surface charge density, and it plays a dominant role in the coupling between the total adsorption amount of ions and total adsorption time. Specifically, with weak overlapping effect, the total adsorption amount is intuitively proportional to the total adsorption time; however, when the overlapping effect is strong, the total adsorption amount may be inversely proportional to the total adsorption time, indicating that both high adsorption amount and short adsorption time can be achieved simultaneously. This work provides a meaningful insight toward the rational design and optimization of microporous materials for efficient ion adsorption.
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Affiliation(s)
- Leying Qing
- State Key Laboratory of Chemical Engineering and School of Chemical Engineering , East China University of Science and Technology , 130 Meilong Road , Shanghai 200237 , China
| | - Yu Li
- State Key Laboratory of Chemical Engineering and School of Chemical Engineering , East China University of Science and Technology , 130 Meilong Road , Shanghai 200237 , China
| | - Weiqiang Tang
- State Key Laboratory of Chemical Engineering and School of Chemical Engineering , East China University of Science and Technology , 130 Meilong Road , Shanghai 200237 , China
| | - Duo Zhang
- Ecole Nationale Supérieure des Ingénieurs en Arts Chimiques et Technologiques de Toulouse , Toulouse 31030 , France
| | - Yongsheng Han
- State Key Laboratory of Multiphase Complex Systems, Institute of Process Engineering , Chinese Academy of Sciences , 100190 Beijing , China
- School of Chemical Engineering , University of Chinese Academy of Sciences , 100049 Beijing , China
| | - Shuangliang Zhao
- State Key Laboratory of Chemical Engineering and School of Chemical Engineering , East China University of Science and Technology , 130 Meilong Road , Shanghai 200237 , China
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31
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Baskin A, Prendergast D. Exploring chemical speciation at electrified interfaces using detailed continuum models. J Chem Phys 2019; 150:041725. [DOI: 10.1063/1.5058159] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Artem Baskin
- The Joint Center for Energy Storage Research, The Molecular Foundry, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - David Prendergast
- The Joint Center for Energy Storage Research, The Molecular Foundry, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
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33
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Smolin YY, Lau KKS, Soroush M. First‐principles modeling for optimal design, operation, and integration of energy conversion and storage systems. AIChE J 2018. [DOI: 10.1002/aic.16482] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Affiliation(s)
- Yuriy Y. Smolin
- Dept. of Chemical and Biological Engineering Drexel University Philadelphia Pennsylvania 19104
| | - Kenneth K. S. Lau
- Dept. of Chemical and Biological Engineering Drexel University Philadelphia Pennsylvania 19104
| | - Masoud Soroush
- Dept. of Chemical and Biological Engineering Drexel University Philadelphia Pennsylvania 19104
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34
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Liu K, Zhang P, Wu J. Does capillary evaporation limit the accessibility of nonaqueous electrolytes to the ultrasmall pores of carbon electrodes? J Chem Phys 2018; 149:234708. [PMID: 30579302 DOI: 10.1063/1.5064360] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Porous carbons have been widely utilized as electrode materials for capacitive energy storage. Whereas the importance of pore size and geometry on the device performance has been well recognized, little guidance is available for identification of carbon materials with ideal porous structures. In this work, we study the phase behavior of ionic fluids in slit pores using the classical density functional theory. Within the framework of the restricted primitive model for nonaqueous electrolytes, we demonstrate that the accessibility of micropores depends not only on the ionic diameters (or desolvation) but also on their wetting behavior intrinsically related to the vapor-liquid or liquid-liquid phase separation of the bulk ionic systems. Narrowing the pore size from several tens of nanometers to subnanometers may lead to a drastic reduction in the capacitance due to capillary evaporation. The wettability of micropores deteriorates as the pore size is reduced but can be noticeably improved by raising the surface electrical potential. The theoretical results provide fresh insights into the properties of confined ionic systems beyond electric double layer models commonly employed for rational design/selection of electrolytes and electrode materials.
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Affiliation(s)
- Kun Liu
- Department of Chemical and Environmental Engineering, University of California, Riverside, California 92521, USA
| | - Pengfei Zhang
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA
| | - Jianzhong Wu
- Department of Chemical and Environmental Engineering, University of California, Riverside, California 92521, USA
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35
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Neal JN, Wesolowski DJ, Henderson D, Wu J. Electric double layer capacitance for ionic liquids in nanoporous electrodes: Effects of pore size and ion composition. J Mol Liq 2018. [DOI: 10.1016/j.molliq.2017.10.128] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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36
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Zhang W, Wang Q, Zeng M, Zhao C. An exact solution of the nonlinear Poisson-Boltzmann equation in parallel-plate geometry. Colloid Polym Sci 2018. [DOI: 10.1007/s00396-018-4394-8] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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37
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Bossa GV, Caetano DLZ, de Carvalho SJ, Bohinc K, May S. Modeling the camel-to-bell shape transition of the differential capacitance using mean-field theory and Monte Carlo simulations. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2018; 41:113. [PMID: 30259300 DOI: 10.1140/epje/i2018-11723-7] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/11/2018] [Accepted: 08/30/2018] [Indexed: 06/08/2023]
Abstract
Mean-field electrostatics is used to calculate the differential capacitance of an electric double layer formed at a planar electrode in a symmetric 1:1 electrolyte. Assuming the electrolyte is also ion-size symmetric, we derive analytic expressions for the differential capacitance valid up to fourth order in the surface charge density or surface potential. Our mean-field model accounts exclusively for electrostatic interactions but includes an arbitrary non-ideality in the mixing entropy of the mobile ions. The ensuing criterion for the camel-to-bell shape transition of the differential capacitance is analyzed using commonly used mixing models (one based on a lattice gas and the other based on the Carnahan-Starling equation of state) and compared with Monte Carlo simulations. We observe a reasonable agreement between all our mean-field models and the simulation data for the camel-to-bell shape transition. The absolute value of the differential capacitance for an uncharged (or weakly charged) electrode is, however, not reproduced by our mean-field approaches, not even upon introducing a Stern layer with a thickness equal of the ion radius. We show that, if a Stern layer is introduced, its thickness dependence on the ion size is non-monotonic or, depending on the salt concentration, even inversely proportional.
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Affiliation(s)
- Guilherme V Bossa
- Department of Physics, North Dakota State University, 58108-6050, Fargo, ND, USA
- Department of Physics, São Paulo State University (UNESP), Institute of Biosciences, Humanities and Exact Sciences, 15054-000, São José do Rio Preto, SP, Brazil
| | - Daniel L Z Caetano
- Department of Physics, São Paulo State University (UNESP), Institute of Biosciences, Humanities and Exact Sciences, 15054-000, São José do Rio Preto, SP, Brazil
| | - Sidney J de Carvalho
- Department of Physics, São Paulo State University (UNESP), Institute of Biosciences, Humanities and Exact Sciences, 15054-000, São José do Rio Preto, SP, Brazil
| | - Klemen Bohinc
- Faculty of Health Sciences, University of Ljubljana, Poljanska 26a, 1000, Ljubljana, Slovenia
| | - Sylvio May
- Department of Physics, North Dakota State University, 58108-6050, Fargo, ND, USA.
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38
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Hunley C, Uribe D, Marucho M. A multi-scale approach to describe electrical impulses propagating along actin filaments in both intracellular and in vitro conditions. RSC Adv 2018; 8:12017-12028. [PMID: 30761211 PMCID: PMC6369918 DOI: 10.1039/c7ra12799e] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
Abstract
An accurate and efficient characterization of the polyelectrolyte properties for cytoskeleton filaments are key to the molecular understanding of electrical signal propagation, bundle and network formation, as well as their potential nanotechnological applications. In this article, we introduce an innovative multi-scale approach able to account for the atomistic details of a protein molecular structure, its biological environment, and their impact on electrical impulses propagating along wild type actin filaments. The formulation includes non-trivial contributions to the ionic electrical conductivity and capacitance coming from the diffuse part of the electrical double layer of G-actins. We utilize this monomer characterization in a non-linear inhomogeneous transmission line prototype model to account for the monomer–monomer interactions, dissipation and damping perturbations along the filament length. A novel, simple, accurate, approximate analytic expression has been obtained for the transmission line model. Our results reveal the propagation of electrical signal impulses in the form of solitons for the range of voltage stimulus and electrolyte solutions typically present for intracellular and in vitro conditions. The approach predicts a lower electrical conductivity with higher linear capacitance and non-linear accumulation of charge for intracellular conditions. Our results show a significant influence of the voltage input on the electrical impulse shape, attenuation and kern propagation velocity. The filament is able to sustain the soliton propagation at almost constant kern velocity for the in vitro condition, whereas the intracellular condition displays a remarkable deceleration. Additionally, the solitons are narrower and travel faster at higher voltage input. As a unique feature, this multi-scale theory is able to account for molecular structure conformation (mutation) and biological environment (protonations/deprotonations) changes often present in pathological conditions. It is also applicable to other highly charged rod-like polyelectrolytes with relevance in biomedicine and biophysics. An innovative analytic solution accounting for the molecular structure, its biological environment, and their impact on electrical impulses along microfilaments.![]()
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Affiliation(s)
- Christian Hunley
- Department of Physics and Astronomy, The University of Texas at San Antonio, San Antonio, TX 78249-5003
| | - Diego Uribe
- Department of Physics and Astronomy, The University of Texas at San Antonio, San Antonio, TX 78249-5003
| | - Marcelo Marucho
- Department of Physics and Astronomy, The University of Texas at San Antonio, San Antonio, TX 78249-5003
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39
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Vyalov I, Rocchia W. Including diverging electrostatic potential in 3D-RISM theory: The charged wall case. J Chem Phys 2018; 148:114106. [PMID: 29566525 DOI: 10.1063/1.5019596] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022] Open
Abstract
Although three-dimensional site-site molecular integral equations of liquids are a powerful tool of the modern theoretical chemistry, their applications to the problem of characterizing the electrical double layer originating at the solid-liquid interface with a macroscopic substrate are severely limited by the fact that an infinitely extended charged plane generates a divergent electrostatic potential. Such potentials cannot be treated within the standard 3D-Reference Interaction Site Model equation solution framework since it leads to functions that are not Fourier transformable. In this paper, we apply a renormalization procedure to overcome this obstacle. We then check the validity and numerical accuracy of the proposed computational scheme on the prototypical gold (111) surface in contact with water/alkali chloride solution. We observe that despite the proposed method requires, to achieve converged charge densities, a higher spatial resolution than that suited to the estimation of biomolecular solvation with either 3D-RISM or continuum electrostatics approaches, it still is computationally efficient. Introducing the electrostatic potential of an infinite wall, which is periodic in 2 dimensions, we avoid edge effects, permit a robust integration of Poisson's equation, and obtain the 3D electrostatic potential profile for the first time in such calculations. We show that the potential within the electrical double layer presents oscillations which are not grasped by the Debye-Hückel and Gouy-Chapman theories. This electrostatic potential deviates from its average of up to 1-2 V at small distances from the substrate along the lateral directions. Applications of this theoretical development are relevant, for example, for liquid scanning tunneling microscopy imaging.
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Affiliation(s)
- Ivan Vyalov
- CONCEPT Lab, Istituto Italiano di Tecnologia, Via Morego 30, 16163 Genoa, Italy
| | - Walter Rocchia
- CONCEPT Lab, Istituto Italiano di Tecnologia, Via Morego 30, 16163 Genoa, Italy
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40
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Ma K, Forsman J, Woodward CE. Theoretical study of the effect of π^{+}-π^{+} association in imidazolium ionic liquids at charged interfaces. Phys Rev E 2018; 96:062609. [PMID: 29347444 DOI: 10.1103/physreve.96.062609] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/24/2017] [Indexed: 11/07/2022]
Abstract
We develop an extended classical density-functional theory to describe clustering of imidazolium-based cations into linear chains, driven by π-π stacking. We find that the associating system displays a similar short-ranged structure to the completely dissociated fluid. We also construct a restricted primitive model for associating ionic species in an RTIL+solvent mixture. The double-layer formed in these systems exhibits strong overscreening by the cation chains, as expected. Significantly enhanced capacitance is also observed for the case where counterions are the associating species. The established density-functional method can be also used to describe polydisperse polyelectrolyte models.
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Affiliation(s)
- Ke Ma
- School of Materials Science and Engineering, Tianjin University of Technology, Tianjin 300384, P. R. China and Tianjin Key Laboratory for Photoelectric Materials and Devices, Tianjin University of Technology, Tianjin 300384, China
| | - Jan Forsman
- Theoretical Chemistry, Chemical Centre, Lund University, P. O. Box 124, S-221 00 Lund, Sweden
| | - Clifford E Woodward
- School of Physical, Environmental and Mathematical Sciences, University of New South Wales, Canberra at the Australian Defence Force Academy, Canberra ACT 2600, Australia
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41
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The effect of dispersion interactions on the structure and performance of electrical double layer of ionic liquids. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2017.09.077] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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42
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Härtel A. Structure of electric double layers in capacitive systems and to what extent (classical) density functional theory describes it. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2017; 29:423002. [PMID: 28898203 DOI: 10.1088/1361-648x/aa8342] [Citation(s) in RCA: 30] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Ongoing scientific interest is aimed at the properties and structure of electric double layers (EDLs), which are crucial for capacitive energy storage, water treatment, and energy harvesting technologies like supercapacitors, desalination devices, blue engines, and thermocapacitive heat-to-current converters. A promising tool to describe their physics on a microscopic level is (classical) density functional theory (DFT), which can be applied in order to analyze pair correlations and charge ordering in the primitive model of charged hard spheres. This simple model captures the main properties of ionic liquids and solutions and it predicts many of the phenomena that occur in EDLs. The latter often lead to anomalous response in the differential capacitance of EDLs. This work constructively reviews the powerful theoretical framework of DFT and its recent developments regarding the description of EDLs. It explains to what extent current approaches in DFT describe structural ordering and in-plane transitions in EDLs, which occur when the corresponding electrodes are charged. Further, the review briefly summarizes the history of modeling EDLs, presents applications, and points out limitations and strengths in present theoretical approaches. It concludes that DFT as a sophisticated microscopic theory for ionic systems is expecting a challenging but promising future in both fundamental research and applications in supercapacitive technologies.
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Affiliation(s)
- Andreas Härtel
- Institute of Physics, University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany
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43
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Affiliation(s)
- Haixia Gao
- Department of Physics, Hunan Normal University, Changsha 410081, P. R. China
| | - Yanmei Chang
- Department of Physics, Hunan Normal University, Changsha 410081, P. R. China
| | - Changming Xiao
- Department of Physics, Hunan Normal University, Changsha 410081, P. R. China
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44
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Girotto M, Colla T, Dos Santos AP, Levin Y. Lattice Model of an Ionic Liquid at an Electrified Interface. J Phys Chem B 2017; 121:6408-6415. [PMID: 28590756 DOI: 10.1021/acs.jpcb.7b02258] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We study ionic liquids interacting with electrified interfaces. The ionic fluid is modeled as a Coulomb lattice gas. We compare the ionic density profiles calculated using a popular modified Poisson-Boltzmann equation with the explicit Monte Carlo simulations. The modified Poisson-Boltzmann theory fails to capture the structural features of the double layer and is also unable to correctly predict the ionic density at the electrified interface. The lattice Monte Carlo simulations qualitatively capture the coarse-grained structure of the double layer in the continuum. We propose a convolution relation that semiquantitatively relates the ionic density profiles of a continuum ionic liquid and its lattice counterpart near an electrified interface.
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Affiliation(s)
- Matheus Girotto
- Instituto de Física, Universidade Federal do Rio Grande do Sul , Caixa Postal 15051, CEP 91501-970, Porto Alegre, RS Brazil
| | - Thiago Colla
- Instituto de Física, Universidade Federal de Ouro Preto , CEP 35400-000, Ouro Preto, MG Brazil
| | - Alexandre P Dos Santos
- Instituto de Física, Universidade Federal do Rio Grande do Sul , Caixa Postal 15051, CEP 91501-970, Porto Alegre, RS Brazil
| | - Yan Levin
- Instituto de Física, Universidade Federal do Rio Grande do Sul , Caixa Postal 15051, CEP 91501-970, Porto Alegre, RS Brazil
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45
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Neal JN, Wesolowski DJ, Henderson D, Wu J. Ion distribution and selectivity of ionic liquids in microporous electrodes. J Chem Phys 2017; 146:174701. [DOI: 10.1063/1.4982351] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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46
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Nishi N, Yasui S, Hashimoto A, Sakka T. Anion dependence of camel-shape capacitance at the interface between mercury and ionic liquids studied using pendant drop method. J Electroanal Chem (Lausanne) 2017. [DOI: 10.1016/j.jelechem.2017.02.001] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
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47
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Structure and capacitance of an electric double layer of an asymmetric valency dimer electrolyte: A comparison of the density functional theory with Monte Carlo simulations. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2016.08.051] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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48
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Caetano DLZ, Bossa GV, de Oliveira VM, Brown MA, de Carvalho SJ, May S. Differential capacitance of an electric double layer with asymmetric solvent-mediated interactions: mean-field theory and Monte Carlo simulations. Phys Chem Chem Phys 2017; 19:23971-23981. [DOI: 10.1039/c7cp04672c] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The differential capacitance of an electrical double layer is directly affected by properties of the electrolyte solution such as temperature, salt concentration, ionic size, and solvent structure.
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Affiliation(s)
- Daniel L. Z. Caetano
- Department of Physics
- Sao Paulo State University (UNESP)
- Institute of Biosciences
- Humanities and Exact Sciences (Ibilce)
- Brazil
| | | | - Vinicius M. de Oliveira
- Department of Physics
- Sao Paulo State University (UNESP)
- Institute of Biosciences
- Humanities and Exact Sciences (Ibilce)
- Brazil
| | - Matthew A. Brown
- Laboratory for Surface Science and Technology
- Department of Materials
- ETH Zürich
- CH-8093 Zurich
- Switzerland
| | - Sidney J. de Carvalho
- Department of Physics
- Sao Paulo State University (UNESP)
- Institute of Biosciences
- Humanities and Exact Sciences (Ibilce)
- Brazil
| | - Sylvio May
- Department of Physics
- North Dakota State University
- Fargo
- USA
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49
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Affiliation(s)
- Kun Liu
- Department of Chemical and Environmental Engineering, University of California , Riverside, CA, USA
| | - Cheng Lian
- Department of Chemical and Environmental Engineering, University of California , Riverside, CA, USA
- State Key Laboratory of Chemical Engineering, East China University of Science and Technology , Shanghai, P.R.China
| | - Douglas Henderson
- Department of Chemistry and Biochemistry, Brigham Young University , Provo, UT, USA
| | - Jianzhong Wu
- Department of Chemical and Environmental Engineering, University of California , Riverside, CA, USA
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Guerrero-García G, Solis F, Raidongia K, Koltonow AR, Huang J, Olvera de la Cruz M. Control of Selective Ion Transfer across Liquid-Liquid Interfaces: A Rectifying Heterojunction Based on Immiscible Electrolytes. ACS CENTRAL SCIENCE 2016; 2:857-866. [PMID: 27924315 PMCID: PMC5126720 DOI: 10.1021/acscentsci.6b00266] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 09/06/2016] [Indexed: 06/06/2023]
Abstract
The current rectification displayed by solid-state p-n semiconductor diodes relies on the abundance of electrons and holes near the interface between the p-n junction. In analogy to this electronic device, we propose here the construction of a purely ionic liquid-state electric rectifying heterojunction displaying an excess of monovalent cations and anions near the interface between two immiscible solvents with different dielectric properties. This system does not need any physical membrane or material barrier to show preferential ion transfer but relies on the ionic solvation energy between the two immiscible solvents. We construct a simple device, based on an oil/water interface, displaying an asymmetric behavior of the electric current as a function of the polarity of an applied electric field. This device also exhibits a region of negative differential conductivity, analogous to that observed in brain and heart cells via voltage clamp techniques. Computer simulations and mean field theory calculations for a model of this system show that the application of an external electric field is able to control the bulk concentrations of the ionic species in the immiscible liquids in a manner that is asymmetric with respect to the polarity or direction of the applied electric field. These properties make possible to enhance or suppress selective ion transport at liquid-liquid interfaces with the application of an external electric field or electrostatic potential, mimicking the function of biological ion channels, thus creating opportunities for varied applications.
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Affiliation(s)
- Guillermo
Iván Guerrero-García
- Department
of Materials Science and Engineering, Northwestern
University, Evanston, Illinois 60208, United
States
- CONACYT-Instituto
de Física, Universidad Autónoma
de San Luis Potosí, Álvaro Obregón 64, 78000 San Luis Potosí, San Luis Potosí, Mexico
| | - Francisco
J. Solis
- School
of Mathematical and Natural Sciences, Arizona
State University, Glendale, Arizona 85306, United States
| | - Kalyan Raidongia
- Department
of Materials Science and Engineering, Northwestern
University, Evanston, Illinois 60208, United
States
| | - Andrew Robert Koltonow
- Department
of Materials Science and Engineering, Northwestern
University, Evanston, Illinois 60208, United
States
| | - Jiaxing Huang
- Department
of Materials Science and Engineering, Northwestern
University, Evanston, Illinois 60208, United
States
| | - Mónica Olvera de la Cruz
- Department
of Materials Science and Engineering, Northwestern
University, Evanston, Illinois 60208, United
States
- Department
of Chemistry, Northwestern University, Evanston, Illinois 60208, United States
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