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Ruixuan H, Majee A, Dobnikar J, Podgornik R. Electrostatic interactions between charge regulated spherical macroions. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2023; 46:115. [PMID: 38019363 DOI: 10.1140/epje/s10189-023-00373-9] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/04/2023] [Accepted: 10/20/2023] [Indexed: 11/30/2023]
Abstract
We study the interaction between two charge regulating spherical macroions with dielectric interior and dissociable surface groups immersed in a monovalent electrolyte solution. The charge dissociation is modelled via the Frumkin-Fowler-Guggenheim isotherm, which allows for multiple adsorption equilibrium states. The interactions are derived from the solutions of the mean-field Poisson-Boltzmann type theory with charge regulation boundary conditions. For a range of conditions we find symmetry breaking transitions from symmetric to asymmetric charge distribution exhibiting annealed charge patchiness, which results in like-charge attraction even in a univalent electrolyte-thus fundamentally modifying the nature of electrostatic interactions in charge-stabilized colloidal suspensions.
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Affiliation(s)
- Hu Ruixuan
- School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China
| | - Arghya Majee
- Max Planck Institute for the Physics of Complex Systems, 01187, Dresden, Germany
| | - Jure Dobnikar
- School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China
- CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China
- Wenzhou Institute of the University of Chinese Academy of Sciences, Wenzhou, Zhejiang, China
- Songshan Lake Materials Laboratory, Guangdong, 523808, Dongguan, China
| | - Rudolf Podgornik
- School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China.
- CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China.
- Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China.
- Wenzhou Institute of the University of Chinese Academy of Sciences, Wenzhou, 325011, Zhejiang, China.
- Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia.
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2
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Khunpetch P, Majee A, Ruixuan H, Podgornik R. Curvature effects in interfacial acidity of amphiphilic vesicles. Phys Rev E 2023; 108:024402. [PMID: 37723726 DOI: 10.1103/physreve.108.024402] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/30/2023] [Accepted: 07/11/2023] [Indexed: 09/20/2023]
Abstract
We analyze the changes in the vicinal acidity (pH) at a spherical amphiphilic membrane. The membrane is assumed to contain solvent accessible, embedded, dissociable, charge-regulated moieties. Basing our approach on the linear Debye-Hückel approximation, as well as on the nonlinear Poisson-Boltzmann theory, together with the general Frumkin-Fowler-Guggenheim adsorption isotherm model of the charge-regulation process, we analyze and review the dependence of the local pH on the position, as well as bulk electrolyte concentration, bulk pH, and curvature of the amphiphilic single membrane vesicle. With appropriately chosen adsorption parameters of the charge-regulation model, we find a good agreement with the available experimental data.
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Affiliation(s)
- Petch Khunpetch
- Department of Physics, Faculty of Science, Ramkhamhaeng University, Bang Kapi, 10240 Bangkok, Thailand
- School of Physical Sciences, University of Chinese Academy of Sciences, 100049 Beijing, China
| | - Arghya Majee
- Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany
| | - Hu Ruixuan
- School of Physical Sciences, University of Chinese Academy of Sciences, 100049 Beijing, China
| | - Rudolf Podgornik
- School of Physical Sciences, University of Chinese Academy of Sciences, 100049 Beijing, China
- Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, 100049 Beijing, China
- CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, 100190 Beijing, China
- Wenzhou Institute of the University of Chinese Academy of Sciences, Wenzhou, 325000 Zhejiang, China
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3
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Rodríguez Matus M, Zhang Z, Benrahla Z, Majee A, Maali A, Würger A. Electroviscous drag on squeezing motion in sphere-plane geometry. Phys Rev E 2022; 105:064606. [PMID: 35854594 DOI: 10.1103/physreve.105.064606] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/13/2021] [Accepted: 05/27/2022] [Indexed: 06/15/2023]
Abstract
Theoretically and experimentally, we study electroviscous phenomena resulting from charge-flow coupling in a nanoscale capillary. Our theoretical approach relies on Poisson-Boltzmann mean-field theory and on coupled linear relations for charge and hydrodynamic flows, including electro-osmosis and charge advection. With respect to the unperturbed Poiseuille flow, we define an electroviscous coupling parameter ξ, which turns out to be maximum where the film height h_{0} is comparable to the Debye screening length λ. We also present dynamic atomic force microscopy data for the viscoelastic response of a confined water film in sphere-plane geometry; our theory provides a quantitative description for the electroviscous drag coefficient and the electrostatic repulsion as a function of the film height, with the surface charge density as the only free parameter. Charge regulation sets in at even smaller distances.
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Affiliation(s)
- Marcela Rodríguez Matus
- Université de Bordeaux & CNRS, Laboratoire Ondes et Matière d'Aquitaine, 33405 Talence, France
| | - Zaicheng Zhang
- Université de Bordeaux & CNRS, Laboratoire Ondes et Matière d'Aquitaine, 33405 Talence, France
| | - Zouhir Benrahla
- Université de Bordeaux & CNRS, Laboratoire Ondes et Matière d'Aquitaine, 33405 Talence, France
| | - Arghya Majee
- Max Planck Institute for Intelligent Systems, 70569 Stuttgart, Germany and IV. Institute for Theoretical Physics, University of Stuttgart, 70569 Stuttgart, Germany
| | - Abdelhamid Maali
- Université de Bordeaux & CNRS, Laboratoire Ondes et Matière d'Aquitaine, 33405 Talence, France
| | - Alois Würger
- Université de Bordeaux & CNRS, Laboratoire Ondes et Matière d'Aquitaine, 33405 Talence, France
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4
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Yuan J, Takae K, Tanaka H. Impact of Charge Regulation on Self-Assembly of Zwitterionic Nanoparticles. PHYSICAL REVIEW LETTERS 2022; 128:158001. [PMID: 35499868 DOI: 10.1103/physrevlett.128.158001] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/26/2022] [Accepted: 03/18/2022] [Indexed: 06/14/2023]
Abstract
Zwitterionic modification of colloids with weak acids and bases represents a promising strategy in creating functional materials with tunable properties and modeling the self-organization of charged proteins. However, accurate incorporation of the dynamic dissociation or association of ionization groups known as charge regulation (CR) is often intractable in theoretical and computational investigations since charge redistribution and configuration need to be evolved self-consistently. Using hybrid Monte Carlo and molecular dynamics simulations, we demonstrate that a dilute suspension of overall charge-neutral zwitterionic Janus nanoparticles shows a conformational transition from an open assembly of string or bundle to compact cluster along with the variation in pH. The behavior under CR is qualitatively different from the commonly employed constant charge condition where the transition is absent. The CR-induced clustering is due to the inhomogeneous and fluctuating charges localized near the equatorial boundary of the Janus particle. These features are enhanced particularly at low salt concentration and high electrostatic coupling strength. Our results indicate the critical role of charge regulation in the spatial self-organization of zwitterionic nanoparticles.
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Affiliation(s)
- Jiaxing Yuan
- Research Center for Advanced Science and Technology, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8904, Japan
| | - Kyohei Takae
- Department of Fundamental Engineering, Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan
| | - Hajime Tanaka
- Research Center for Advanced Science and Technology, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8904, Japan
- Department of Fundamental Engineering, Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan
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5
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Khunpetch P, Majee A, Podgornik R. Curvature effects in charge-regulated lipid bilayers. SOFT MATTER 2022; 18:2597-2610. [PMID: 35294512 DOI: 10.1039/d1sm01665b] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
We formulate a theory of electrostatic interactions in lipid bilayer membranes where both monolayer leaflets contain dissociable moieties that are subject to charge regulation. We specifically investigate the coupling between membrane curvature and charge regulation of a lipid bilayer vesicle using both the linear Debye-Hückel (DH) and the non-linear Poisson-Boltzmann (PB) theory. We find that charge regulation of an otherwise symmetric bilayer membrane can induce charge symmetry breaking, non-linear flexoelectricity and anomalous curvature dependence of free energy. The pH effects investigated go beyond the paradigm of electrostatic renormalization of the mechano-elastic properties of membranes.
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Affiliation(s)
- Petch Khunpetch
- School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, China.
| | - Arghya Majee
- Max Planck Institute for Intelligent Systems, Stuttgart, Germany
- IV. Institute for Theoretical Physics, University of Stuttgart, Stuttgart, Germany.
| | - Rudolf Podgornik
- School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, China.
- Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing, China
- CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, China.
- Wenzhou Institute of the University of Chinese Academy of Sciences, Wenzhou, Zhejiang, China
- Department of Theoretical Physics, Jožef Stefan Institute, Ljubljana, Slovenia
- Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia
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6
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Le T, Chen X, Dong H, Tarpeh W, Perea-Cachero A, Coronas J, Martin SM, Mohammad M, Razmjou A, Esfahani AR, Koutahzadeh N, Cheng P, Kidambi PR, Esfahani MR. An Evolving Insight into Metal Organic Framework-Functionalized Membranes for Water and Wastewater Treatment and Resource Recovery. Ind Eng Chem Res 2021. [DOI: 10.1021/acs.iecr.1c00543] [Citation(s) in RCA: 18] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023]
Affiliation(s)
- Tin Le
- Department of Chemical and Biological Engineering, The University of Alabama, Tuscaloosa, Alabama 35487, United States
| | - Xi Chen
- Department of Chemical Engineering, Stanford University, Stanford, California 94305-6104, United States
| | - Hang Dong
- Department of Chemical Engineering, Stanford University, Stanford, California 94305-6104, United States
| | - William Tarpeh
- Department of Chemical Engineering, Stanford University, Stanford, California 94305-6104, United States
| | - Adelaida Perea-Cachero
- Instituto de Nanociencia y Materiales de Aragón (INMA), CSIC-Universidad de Zaragoza, Zaragoza, 50018, Spain
- Chemical and Environmental Engineering Department, Universidad de Zaragoza, Zaragoza, 50018, Spain
| | - Joaquín Coronas
- Instituto de Nanociencia y Materiales de Aragón (INMA), CSIC-Universidad de Zaragoza, Zaragoza, 50018, Spain
- Chemical and Environmental Engineering Department, Universidad de Zaragoza, Zaragoza, 50018, Spain
| | - Stephen M. Martin
- Department of Chemical Engineering, Virginia Tech, Blacksburg, Virginia 24061, United States
| | - Munirah Mohammad
- Centre for Technology in Water and Wastewater, University of Technology Sydney, Sydney, New South Wales 2007, Australia
| | - Amir Razmjou
- Centre for Technology in Water and Wastewater, University of Technology Sydney, Sydney, New South Wales 2007, Australia
- UNESCO Centre for Membrane Science and Technology, School of Chemical Engineering, University of New South Wales, Sydney, New South Wales 2052, Australia
| | - Amirsalar R. Esfahani
- Department of Mechanical Engineering, The University of Alabama, Tuscaloosa, Alabama 35487, United States
- George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0002, United States
| | - Negin Koutahzadeh
- Environmental Health & Safety, The University of Alabama, Tuscaloosa, Alabama 35487, United States
| | - Peifu Cheng
- Department of Chemical and Biomolecular Engineering, Vanderbilt University, Nashville, Tennessee 37212, United States
| | - Piran R. Kidambi
- Department of Chemical and Biomolecular Engineering, Vanderbilt University, Nashville, Tennessee 37212, United States
| | - Milad Rabbani Esfahani
- Department of Chemical and Biological Engineering, The University of Alabama, Tuscaloosa, Alabama 35487, United States
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7
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Gomez DA, Frydel D, Levin Y. Lattice-gas model of a charge regulated planar surface. J Chem Phys 2021; 154:074706. [PMID: 33607887 DOI: 10.1063/5.0039029] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In this work, we consider a lattice-gas model of charge regulation with electrostatic interactions within the Debye-Hückel level of approximation. In addition to long-range electrostatic interactions, the model incorporates the nearest-neighbor interactions for representing non-electrostatic forces between adsorbed ions. The Frumkin-Fowler-Guggenheim isotherm obtained from the mean-field analysis accurately reproduces the simulation data points.
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Affiliation(s)
- Daniel Alejandro Gomez
- Department of Chemistry, Federico Santa Maria Technical University, Campus San Joaquin, Santiago, Chile
| | - Derek Frydel
- Department of Chemistry, Federico Santa Maria Technical University, Campus San Joaquin, Santiago, Chile
| | - Yan Levin
- Institute of Physics, The Federal University of Rio Grande do Sul, Porto Alegre 91501-970, Brazil
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Bakhshandeh A, Frydel D, Levin Y. Charge regulation of colloidal particles in aqueous solutions. Phys Chem Chem Phys 2020; 22:24712-24728. [PMID: 33104140 DOI: 10.1039/d0cp03633a] [Citation(s) in RCA: 13] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
Abstract
We study the charge regulation of colloidal particles inside aqueous electrolyte solutions. To stabilize a colloidal suspension against precipitation, colloidal particles are synthesized with either acidic or basic groups on their surface. On contact with water, these surface groups undergo proton transfer reactions, resulting in colloidal surface charge. The charge is determined by the condition of local chemical equilibrium between hydronium ions inside the solution and at the colloidal surface. We use a model of Baxter sticky spheres to explicitly calculate the equilibrium dissociation constants and to construct a theory which is able to quantitatively predict the effective charge of colloidal particles with either acidic or basic surface groups. The predictions of the theory for the model are found to be in excellent agreement with the results of Monte Carlo simulations. This theory is further extended to treat colloidal particles with a mixture of both acidic and basic surface groups.
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Affiliation(s)
- Amin Bakhshandeh
- Instituto de Física, Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, CEP 91501-970, Porto Alegre, RS, Brazil.
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9
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Acharya P, Lau AWC. Charge regulation of a surface immersed in an electrolyte solution. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2020; 43:54. [PMID: 32794084 DOI: 10.1140/epje/i2020-11978-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/14/2020] [Accepted: 07/15/2020] [Indexed: 06/11/2023]
Abstract
In this paper, we investigate theoretically a model of charge regulation of a single charged planar surface immersed in an aqueous electrolyte solution. Assuming that the adsorbed ions are mobile in the charged plane, we formulate a field theory of charge regulation where the numbers of adsorbed ions can be determined consistently by equating the chemical potentials of the adsorbed ions to that of the ions in the bulk. We analyze the mean-field treatment of the model for electrolyte of arbitrary valences, and then beyond, where correlation effects are systematically taken into account in a loop expansion. In particular, we compute exactly various one-loop quantities, including electrostatic potentials, ion distributions, and chemical potentials, not only for symmetric (1, 1) electrolyte but also for asymmetric (2, 1) electrolyte, and make use of these quantities to address charge regulation at the one-loop level. We find that correlation effects give rise to various phase transitions in the adsorption of ions, and present phase diagrams for (1, 1) and (2, 1) electrolytes, whose distinct behaviors suggest that charge regulation, at the one-loop level, is no longer universal but depends crucially on the valency of the ions.
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Affiliation(s)
- P Acharya
- Department of Physics, Florida Atlantic University, 33431, Boca Raton, FL, USA
| | - A W C Lau
- Department of Physics, Florida Atlantic University, 33431, Boca Raton, FL, USA.
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10
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Bebon R, Majee A. Electrostatic pair-interaction of nearby metal or metal-coated colloids at fluid interfaces. J Chem Phys 2020; 153:044903. [PMID: 32752694 DOI: 10.1063/5.0013298] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023] Open
Abstract
In this paper, we theoretically study the electrostatic interaction between a pair of identical colloids with constant surface potentials sitting in close vicinity next to each other at the fluid interface. By employing a simplified yet reasonable model system, the problem is solved within the framework of classical density functional theory and linearized as well as nonlinear Poisson-Boltzmann (PB) theory. Apart from providing a sound theoretical framework generally applicable to any such problem, our novel findings, all of which contradict common beliefs, include the following: first, quantitative and qualitative differences between the interactions obtained within the linear and the nonlinear PB theories; second, the importance of the electrostatic interaction between the omnipresent three-phase contact lines in interfacial systems; and, third, the occurrence of an attractive electrostatic interaction between a pair of identical metal colloids. The unusual attraction we report largely stems from an attractive line interaction, which although scales linearly with the size of the particle can compete with the surface interactions and can be strong enough to alter the nature of the total electrostatic interaction. Our results should find applications in metal or metal-coated particle-stabilized emulsions where densely packed particle arrays are not only frequently observed but also sometimes required.
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Affiliation(s)
- Rick Bebon
- Max Planck Institute for Intelligent Systems, Stuttgart, Germany and IV. Institute for Theoretical Physics, University of Stuttgart, Stuttgart, Germany
| | - Arghya Majee
- Max Planck Institute for Intelligent Systems, Stuttgart, Germany and IV. Institute for Theoretical Physics, University of Stuttgart, Stuttgart, Germany
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11
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Majee A, Bier M, Blossey R, Podgornik R. Charge regulation radically modifies electrostatics in membrane stacks. Phys Rev E 2020; 100:050601. [PMID: 31869924 DOI: 10.1103/physreve.100.050601] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/21/2019] [Indexed: 01/31/2023]
Abstract
Motivated by biological membrane-containing organelles in plants and photosynthetic bacteria, we study charge regulation in a model membrane stack. Considering (de)protonation as the simplest mechanism of charge equilibration between the membranes and with the bathing environment, we uncover a symmetry-broken charge state in the stack with a quasiperiodic effective charge sequence. In the case of a monovalent bathing salt solution our model predicts complex, inhomogeneous charge equilibria depending on the strength of the (de)protonation reaction, salt concentration, and membrane size. Our results shed light on the basic reorganization mechanism of thylakoid membrane stacks.
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Affiliation(s)
- Arghya Majee
- Max-Planck-Institut für Intelligente Systeme, Heisenbergstr. 3, 70569 Stuttgart, Germany.,IV. Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
| | - Markus Bier
- Max-Planck-Institut für Intelligente Systeme, Heisenbergstr. 3, 70569 Stuttgart, Germany.,IV. Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany.,Fakultät Angewandte Natur- und Geisteswissenschaften, Hochschule für Angewandte Wissenschaften Würzburg-Schweinfurt, Ignaz-Schön-Str. 11, 97421 Schweinfurt, Germany
| | - Ralf Blossey
- Université de Lille, CNRS, UMR8576 Unité de Glycobiologie Structurale et Fonctionnelle (UGSF), F-59000 Lille, France
| | - Rudolf Podgornik
- School of Physical Sciences and Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China.,CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
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12
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Design principles of ion selective nanostructured membranes for the extraction of lithium ions. Nat Commun 2019; 10:5793. [PMID: 31857585 PMCID: PMC6923379 DOI: 10.1038/s41467-019-13648-7] [Citation(s) in RCA: 172] [Impact Index Per Article: 34.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/27/2019] [Accepted: 11/19/2019] [Indexed: 11/08/2022] Open
Abstract
It is predicted that the continuously increasing demand for the energy-critical element of lithium will soon exceed its availability, rendering it a geopolitically significant resource. The present work critically reviews recent reports on Li+ selective membranes. Particular emphasis has been placed on the basic principles of the materials' design for the development of membranes with nanochannels and nanopores with Li+ selectivity. Fundamental and practical challenges, as well as prospects for the targeted design of Li+ ion-selective membranes are also presented, with the goal of inspiring future critical research efforts in this scientifically and strategically important field.
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13
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Frydel D. One-dimensional Coulomb system in a sticky wall confinement: Exact results. Phys Rev E 2019; 100:042113. [PMID: 31770873 DOI: 10.1103/physreve.100.042113] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/04/2019] [Indexed: 11/07/2022]
Abstract
This work investigates a one-component one-dimensional Coulomb system in sticky wall confinement. Sticky wall is introduced as an alternative and intuitive depiction of charge regulation, the notion that a surface charge is not a fixed but a fluctuating quantity in dynamic equilibrium with its immediate environment. Emphasis is placed on intuitive derivation and expressions are obtained by observing that the partition function of a charge regulated system can be decomposed into a collection of independent equilibriums with different fixed surface charges. Adsorbed particles behave as ideal-gas particles in a one-dimensional box whose length corresponds to the parameter of stickiness. Among various scenarios considered are a single- and two-wall confinement as well as the case of sticky counterions capable of associating into pairs. Exact solutions provide a view of the role and behavior of surface charge fluctuations, which is an important step in the "beyond-mean-field" analysis. Consequently, the model serves as a simple paradigm of the mechanism that gives rise to the Kirkwood-Shumaker interactions detected in real systems.
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Affiliation(s)
- Derek Frydel
- Department of Chemistry, Federico Santa Maria Technical University, Campus San Joaquín, Santiago, Chile
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14
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Bakhshandeh A, Frydel D, Diehl A, Levin Y. Charge Regulation of Colloidal Particles: Theory and Simulations. PHYSICAL REVIEW LETTERS 2019; 123:208004. [PMID: 31809122 DOI: 10.1103/physrevlett.123.208004] [Citation(s) in RCA: 20] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/24/2019] [Indexed: 06/10/2023]
Abstract
To explore charge regulation (CR) in physicochemical and biophysical systems, we present a model of colloidal particles with sticky adsorption sites which account for the formation of covalent bonds between the hydronium ions and the surface functional groups. Using this model and Monte Carlo simulations, we find that the standard Ninham and Parsegian (NP) theory of CR leads to results which deviate significantly from computer simulations. The problem with the NP approach is traced back to the use of a bulk equilibrium constant to account for surface chemical reactions. To resolve this difficulty we present a new theory of CR. The fundamental ingredient of the new approach is the sticky length, which is nontrivially related to the bulk equilibrium constant. The theory is found to be in excellent agreement with computer simulations, without any adjustable parameters. As an application of the theory we calculate the effective charge of colloidal particles containing carboxyl groups, as a function of pH and salt concentration.
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Affiliation(s)
- Amin Bakhshandeh
- Programa de Pós-Graduação em Física, Instituto de Física e Matemática, Universidade Federal de Pelotas, Caixa Postal 354, CEP 96010-900 Pelotas, Rio Grande do Sul, Brazil
| | - Derek Frydel
- Department of Chemistry, Federico Santa Maria Technical University, Campus San Joaquin, 7820275 Santiago, Chile
| | - Alexandre Diehl
- Departamento de Física, Instituto de Física e Matemática, Universidade Federal de Pelotas, Caixa Postal 354, CEP 96010-900 Pelotas, Rio Grande do Sul, Brazil
| | - Yan Levin
- Instituto de Física, Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, CEP 91501-970 Porto Alegre, Rio Grande do Sul, Brazil
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15
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Razmjou A, Eshaghi G, Orooji Y, Hosseini E, Korayem AH, Mohagheghian F, Boroumand Y, Noorbakhsh A, Asadnia M, Chen V. Lithium ion-selective membrane with 2D subnanometer channels. WATER RESEARCH 2019; 159:313-323. [PMID: 31102860 DOI: 10.1016/j.watres.2019.05.018] [Citation(s) in RCA: 81] [Impact Index Per Article: 16.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/27/2019] [Revised: 04/30/2019] [Accepted: 05/05/2019] [Indexed: 06/09/2023]
Abstract
In the last two years, the rapidly rising demand for lithium has exceeded supply, resulting in a sharp increase in the price of the metal. Conventional electric driven membrane processes can separate Li+ from divalent cations, but there is virtually no commercial membrane that can efficiently and selectively extract Li+ from a solution containing chemically similar ions such as Na+ and K+. Here, we show that the different movement behavior of Li+ ion within the sub-nanometre channel leads to Li+ ion-selectivity and high transport rate. Using inexpensive negatively charged 2D subnanometer hydrous phyllosilicate channels with interlayer space of 0.43 nm in a membrane-like morphology, we observed that for an interlayer spacing of below 1 nm, Li+ ions move along the length of the channel by jumping between its two walls. However, for above 1 nm spacing, the ions used only one channel wall to jump and travel. Molecular dynamic (MD) simulation also revealed that ions within the nanochannel exhibit acceleration-deceleration behavior. Experimental results showed that the nanochannels could selectively transport monovalent ions of Li+> Na+> and K+ while excluding other ions such as Cl- and Ca2+, with the selectivity ratios of 1.26, 1.59 and 1.36 for Li+/Na+, Li+/K+, and Na+/K+ respectively, which far exceed the mobility ratios in traditional porous ion exchange membranes. The findings of this work provide researchers with not only a new understanding of ions movement behavior within subnanometer confined areas but also make a platform for the future design of ion-selective membranes.
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Affiliation(s)
- Amir Razmjou
- Department of Biotechnology, Faculty of Advanced Sciences and Technologies, University of Isfahan, Isfahan, 73441-81746, Iran; UNESCO Centre for Membrane Science and Technology, School of Chemical Science and Engineering, University of New South Wales, Sydney, 2052, Australia.
| | - Ghazaleh Eshaghi
- Department of Biotechnology, Faculty of Advanced Sciences and Technologies, University of Isfahan, Isfahan, 73441-81746, Iran
| | - Yasin Orooji
- College of Materials Science and Engineering, Nanjing Forestry University, No. 158, Longpan Road, Nanjing, 210037, Jiangsu, People's Republic of China
| | - Ehsan Hosseini
- School of Civil Engineering, Iran University of Science and Technology, Tehran, Iran
| | | | - Fereshteh Mohagheghian
- Department of Biotechnology, Faculty of Advanced Sciences and Technologies, University of Isfahan, Isfahan, 73441-81746, Iran
| | - Yasaman Boroumand
- Department of Biotechnology, Faculty of Advanced Sciences and Technologies, University of Isfahan, Isfahan, 73441-81746, Iran
| | - Abdollah Noorbakhsh
- Department of Biotechnology, Faculty of Advanced Sciences and Technologies, University of Isfahan, Isfahan, 73441-81746, Iran
| | - Mohsen Asadnia
- School of Engineering, Macquarie University, Sydney, New South Wales, 2109, Australia
| | - Vicki Chen
- School of Chemical Engineering, University of Queensland, St. Lucia, 4072, Australia; UNESCO Centre for Membrane Science and Technology, School of Chemical Science and Engineering, University of New South Wales, Sydney, 2052, Australia
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16
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Dos Santos AP, Levin Y. Like-Charge Attraction between Metal Nanoparticles in a 1∶1 Electrolyte Solution. PHYSICAL REVIEW LETTERS 2019; 122:248005. [PMID: 31322379 DOI: 10.1103/physrevlett.122.248005] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/28/2019] [Revised: 03/21/2019] [Indexed: 06/10/2023]
Abstract
We calculate the force between two spherical metal nanoparticles of charge Q_{1} and Q_{2} in a dilute 1∶1 electrolyte solution. Numerically solving the nonlinear Poisson-Boltzmann equation, we find that metal nanoparticles with the same sign of charge can attract one another. This is fundamentally different from what is found for like-charged, nonpolarizable, colloidal particles, the two-body interaction potential for which is always repulsive inside a dilute 1∶1 electrolyte. Furthermore, the existence of like-charge attraction between spherical metal nanoparticles is even more surprising in view of the result that such attraction is impossible between parallel metal slabs, showing the fundamental importance of curvature. To overcome a slow convergence of the numerical solution of the full nonlinear Poisson-Boltzmann equation, we developed a modified Derjaguin approximation which allows us to accurately and rapidly calculate the interaction potential between two metal nanoparticles or between a metal nanoparticle and a phospholipid membrane.
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Affiliation(s)
- 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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17
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Perez-Martinez CS, Perkin S. Surface forces generated by the action of electric fields across liquid films. SOFT MATTER 2019; 15:4255-4265. [PMID: 31020308 DOI: 10.1039/c9sm00143c] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
We explore the force generation and surface interactions arising when electric fields are applied across fluid films. Using a surface force balance (SFB) we measure directly the force between two electrodes in crossed-cylinder geometry across dielectric and electrolytic fluids. In the case of dielectric films the field between the electrodes exerts a force which can be well explained using classic expressions and with no fitting parameters. However when the electrodes are separated by a film of electrolyte, an alternating electric field induces a force which diverges substantially from the calculated static response of the electrolyte. The magnitude of the force is larger than predicted, and the interaction can switch from attractive to repulsive. Furthermore, the approach to steady state in electrolyte takes place over 102-103 s which is very slow compared to both the charging and viscous timescales of the system. The non-trivial electrolyte response in AC electric fields, measured here directly, is likely to underlie several recent reports of unexpected and bifurcating forces driving colloids in AC fields. Our measurements suggest ways to control colloidal and soft matter using electric fields, as well as providing a direct measure of the length- and time-scales relevant in AC electrochemical and electrokinetic systems.
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Affiliation(s)
- Carla Sofia Perez-Martinez
- Department of Chemistry, Physical and Theoretical Chemistry Laboratory, University of Oxford, Oxford OX1 3QZ, UK.
| | - Susan Perkin
- Department of Chemistry, Physical and Theoretical Chemistry Laboratory, University of Oxford, Oxford OX1 3QZ, UK.
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18
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Majee A, Bier M, Dietrich S. Electrostatic interaction of particles trapped at fluid interfaces: effects of geometry and wetting properties. SOFT MATTER 2018; 14:9436-9444. [PMID: 30427025 DOI: 10.1039/c8sm01765d] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
The electrostatic interaction between pairs of spherical or macroscopically long, parallel cylindrical colloids trapped at fluid interfaces is studied theoretically for the case of small inter-particle separations. Starting from the effective interaction between two planar walls and by using the Derjaguin approximation, we address the issue of how the electrostatic interaction between such particles is influenced by their curvatures and by the wetting contact angle at their surfaces. Regarding the influence of curvature, our findings suggest that the discrepancies between linear and nonlinear Poisson-Boltzmann theory, which have been noticed before for planar walls, also occur for spheres and macroscopically long, parallel cylinders, though their magnitude depends on the wetting contact angle. Concerning the influence of the wetting contact angle θ simple relations are obtained for equally sized particles which indicate that the inter-particle force varies significantly with θ only within an interval around 90°. This interval depends on the Debye length of the fluids and on the size of the particles but not on their shape. For unequally sized particles, a more complicated relation is obtained for the variation of the inter-particle force with the wetting contact angle.
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Affiliation(s)
- Arghya Majee
- Max-Planck-Institut für Intelligente Systeme, Heisenbergstr. 3, 70569 Stuttgart, Germany.
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19
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Lošdorfer Božič A, Podgornik R. Anomalous multipole expansion: Charge regulation of patchy inhomogeneously charged spherical particles. J Chem Phys 2018; 149:163307. [DOI: 10.1063/1.5037044] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Anže Lošdorfer Božič
- Department of Theoretical Physics, Jožef Stefan Institute, SI-1000 Ljubljana, Slovenia
| | - Rudolf Podgornik
- Department of Theoretical Physics, Jožef Stefan Institute, SI-1000 Ljubljana, Slovenia
- Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia
- School of Physical Sciences and Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
- CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
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20
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Podgornik R. General theory of charge regulation and surface differential capacitance. J Chem Phys 2018; 149:104701. [PMID: 30219025 DOI: 10.1063/1.5045237] [Citation(s) in RCA: 39] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A generalization of the mean-field approach will be derived that will take into account the ion-ion as well as ion-surface non-electrostatic effects on an equal footing, being based on the bulk and surface equations of state in the absence of electrostatic interactions. This approach will be applied to the analysis of a single planar surface with dissociable sites with several models of the specific ion-surface non-electrostatic interactions, providing a general thermodynamic insight into the characteristics of the surface differential capacitance. The ion-surface interactions and ion-ion packing considerations at the surface will be shown to be more relevant than the bulk packing constraints for ions vicinal to the surface, as well as to set in prior to the conditions where the bulk packing constraints would become relevant.
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Affiliation(s)
- Rudolf Podgornik
- School of Physical Sciences and Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China; CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; Department of Theoretical Physics, Jožef Stefan Institute, SI-1000 Ljubljana, Slovenia; and Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia
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21
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Majee A, Schmetzer T, Bier M. Electrostatic interaction between dissimilar colloids at fluid interfaces. Phys Rev E 2018; 97:042611. [PMID: 29758658 DOI: 10.1103/physreve.97.042611] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/15/2018] [Indexed: 06/08/2023]
Abstract
The electrostatic interaction between two nonidentical, moderately charged colloids situated in close proximity of each other at a fluid interface is studied. By resorting to a well-justified model system, this problem is analytically solved within the framework of linearized Poisson-Boltzmann density functional theory. The resulting interaction comprises a surface and a line part, both of which, as functions of the interparticle separation, show a rich behavior including monotonic as well as nonmonotonic variations. In almost all cases, these variations cannot be captured correctly by using the superposition approximation. Moreover, expressions for the surface tensions, the line tensions and the fluid-fluid interfacial tension, which are all independent of the interparticle separation, are obtained. Our results are expected to be particularly useful for emulsions stabilized by oppositely charged particles.
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Affiliation(s)
- Arghya Majee
- Max-Planck-Institut für Intelligente Systeme, 70569 Stuttgart, Germany and IV. Institut für Theoretische Physik, Universität Stuttgart, 70569 Stuttgart, Germany
| | - Timo Schmetzer
- Max-Planck-Institut für Intelligente Systeme, 70569 Stuttgart, Germany and IV. Institut für Theoretische Physik, Universität Stuttgart, 70569 Stuttgart, Germany
| | - Markus Bier
- Max-Planck-Institut für Intelligente Systeme, 70569 Stuttgart, Germany and IV. Institut für Theoretische Physik, Universität Stuttgart, 70569 Stuttgart, Germany
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