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Naseri Boroujeni S, Maribo-Mogensen B, Liang X, Kontogeorgis GM. Response to "Comment on 'Binding Debye-Hückel theory for associative electrolyte solutions'" [J. Chem. Phys. 159, 154503 (2023)]. J Chem Phys 2024; 161:057103. [PMID: 39092959 DOI: 10.1063/5.0219433] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/17/2024] [Accepted: 07/12/2024] [Indexed: 08/04/2024] Open
Abstract
This Response addresses critiques raised about the Binding Debye-Hückel (BiDH) theory [Naseri Boroujeni et al., J. Chem. Phys. 159, 154503 (2023)] by Simonin and Bernard [J.-P. Simonin and O. Bernard, J. Chem. Phys. (2024)]. The critiques questioned the foundational framework of the Debye-Hückel (DH) theory, the relevance of ion pairing in primitive model fluids, and the accuracy of the BiDH model compared to mean spherical approximation model. Through a systematic rebuttal, supported by extensive literature review and comparison with Monte Carlo simulation data, this Response addresses these concerns. It demonstrates the efficacy of DH theory in describing real electrolyte solutions, validates the relevance of ion pairing in primitive model fluids, and establishes the BiDH model's accuracy in describing electrolyte properties.
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Affiliation(s)
- S Naseri Boroujeni
- Center for Energy Resources Engineering, Department of Chemical and Biochemical Engineering, Technical University of Denmark (DTU), Søltofts Plads, Building 229, 2800 Kgs. Lyngby, Denmark
| | - B Maribo-Mogensen
- Hafnium Labs ApS., Vestergade 16, 3rd Floor, 1456 Copenhagen, Denmark
| | - X Liang
- Center for Energy Resources Engineering, Department of Chemical and Biochemical Engineering, Technical University of Denmark (DTU), Søltofts Plads, Building 229, 2800 Kgs. Lyngby, Denmark
| | - G M Kontogeorgis
- Center for Energy Resources Engineering, Department of Chemical and Biochemical Engineering, Technical University of Denmark (DTU), Søltofts Plads, Building 229, 2800 Kgs. Lyngby, Denmark
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Naseri Boroujeni S, Maribo-Mogensen B, Liang X, Kontogeorgis GM. Theoretical and practical investigation of ion-ion association in electrolyte solutions. J Chem Phys 2024; 160:154509. [PMID: 38639315 DOI: 10.1063/5.0198308] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/17/2024] [Accepted: 03/26/2024] [Indexed: 04/20/2024] Open
Abstract
In this study, we present a new equation of state for electrolyte solutions, integrating the statistical associating fluid theory for variable range interactions utilizing the generic Mie form and binding Debye-Hückel theories. This equation of state underscores the pivotal role of ion-ion association in determining the properties of electrolyte solutions. We propose a unified framework that simultaneously examines the thermodynamic properties of electrolyte solutions and their electrical conductivity, given the profound impact of ion pairing on this transport property. Using this equation of state, we predict the liquid density, mean ionic activity coefficient, and osmotic coefficient for binary NaCl, Na2SO4, and MgSO4 aqueous solutions at 298.15 K. Additionally, we evaluate the molar conductivity of these systems by considering the fraction of free ions derived from our equation of state in conjunction with two advanced electrical conductivity models. Our results reveal that, while ion-ion association has a minimal influence on the modification of the predicted properties of sodium chloride solutions, their impact on sodium and magnesium sulfate solutions is considerably more noticeable.
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Affiliation(s)
- Saman Naseri Boroujeni
- Center for Energy Resources Engineering, Department of Chemical and Biochemical Engineering, Technical University of Denmark (DTU), Søltofts Plads, Building 229, 2800 Kgs. Lyngby, Denmark
| | - B Maribo-Mogensen
- Hafnium Labs ApS., Vestergade 16, 3rd floor, 1456 Copenhagen, Denmark
| | - X Liang
- Center for Energy Resources Engineering, Department of Chemical and Biochemical Engineering, Technical University of Denmark (DTU), Søltofts Plads, Building 229, 2800 Kgs. Lyngby, Denmark
| | - G M Kontogeorgis
- Center for Energy Resources Engineering, Department of Chemical and Biochemical Engineering, Technical University of Denmark (DTU), Søltofts Plads, Building 229, 2800 Kgs. Lyngby, Denmark
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Naseri Boroujeni S, Maribo-Mogensen B, Liang X, Kontogeorgis GM. Binding Debye-Hückel theory for associative electrolyte solutions. J Chem Phys 2023; 159:154503. [PMID: 37850695 DOI: 10.1063/5.0170146] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/01/2023] [Accepted: 09/26/2023] [Indexed: 10/19/2023] Open
Abstract
This study presents a new equation of state (EOS) for charged hard sphere fluids that incorporates ion-ion association. The EOS is developed using the Debye-Hückel (DH) theory, reference cavity approximation, and Wertheim's theory. Predictive accuracy is evaluated by comparing the model's predictions with Monte Carlo simulations for various charged hard-sphere fluids. The assessment focuses on mean ionic activity coefficient, individual ionic activity coefficient, and osmotic coefficients. The results demonstrate good agreement between the model and simulations, indicating its success for different electrolyte systems. Incorporating ion-ion association improves accuracy compared to the DH theory. The importance of the cavity function and ion-dipole interactions is emphasized in accurately representing structural properties. Overall, the developed EOS shows promising predictive capabilities for charged hard sphere fluids, providing validation and highlighting the significance of ion-ion association in thermodynamic predictions of electrolyte solutions.
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Affiliation(s)
- S Naseri Boroujeni
- Center for Energy Resources Engineering, Department of Chemical and Biochemical Engineering, Technical University of Denmark (DTU), Søltofts Plads, Building 229, 2800 Kgs, Lyngby, Denmark
| | - B Maribo-Mogensen
- Hafnium Labs ApS, Vestergade 16, 3rd Floor, 1456 Copenhagen, Denmark
| | - X Liang
- Center for Energy Resources Engineering, Department of Chemical and Biochemical Engineering, Technical University of Denmark (DTU), Søltofts Plads, Building 229, 2800 Kgs, Lyngby, Denmark
| | - G M Kontogeorgis
- Center for Energy Resources Engineering, Department of Chemical and Biochemical Engineering, Technical University of Denmark (DTU), Søltofts Plads, Building 229, 2800 Kgs, Lyngby, Denmark
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Holovko M, Patsahan T, Patsahan O. Effects of disordered porous media on the vapour-liquid phase equilibrium in ionic fluids: application of the association concept. J Mol Liq 2017. [DOI: 10.1016/j.molliq.2016.10.045] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Elshwishin A, Köser J, Schröer W, Qiao B. Liquid–liquid phase separation of ionic liquids in solutions: Ionic liquids with the triflat anion solved in aryl halides. J Mol Liq 2014. [DOI: 10.1016/j.molliq.2013.07.012] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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SABIR AK, BHUIYAN LB, OUTHWAITE CW. Influence of ion size and valence on classical ionic criticality. Mol Phys 2010. [DOI: 10.1080/002689798169087] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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JIANG JW, BLUM L, BERNARD O, PRAUSNITZ JM. Thermodynamic properties and phase equilibria of charged hard sphere chain model for polyelectrolyte solutions. Mol Phys 2009. [DOI: 10.1080/00268970110043414] [Citation(s) in RCA: 50] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
Affiliation(s)
- J. W. JIANG
- a Department of Chemistry and Biochemistry , University of South Carolina , Columbia , SC , 29208 , USA
| | - L. BLUM
- b Department of Physics , University of Puerto Rico , P.O. Box 23343, Rio Piedras , PR , 00931 , USA
| | - O. BERNARD
- c Laboratoire Liquides Ioniques et Interfaces Chargées, Boite postale 51, Université Pierre et Marie Curie , 4, Place Jussieu, 75252 , Paris Cedex 05 , France
| | - J. M. PRAUSNITZ
- d Department of Chemical Engineering , University of California, Berkeley and Chemical Sciences Division, Lawrence Berkeley National Laboratory , Berkeley , CA , 94720 , USA
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Aliaga C, Santos CS, Baldelli S. Surface chemistry of room-temperature ionic liquids. Phys Chem Chem Phys 2007; 9:3683-700. [PMID: 17622403 DOI: 10.1039/b703574h] [Citation(s) in RCA: 140] [Impact Index Per Article: 8.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
In many applications of room-temperature ionic liquids, it has been recognized that the interface is a vital component. In electrochemistry, for instance, the electron transfer is significant to the efficiency of the solar cell and is very much dependent on the behavior of a given interface. This review presents the current state of knowledge of room-temperature ionic liquids in contact with solids, liquids, and gas phases. Experimental and molecular modeling studies have been conducted to investigate the surface structure and composition of ions in pure ionic liquids. However, surface studies on these liquids are still in its infancy and as the range of the available surface techniques and systematic investigations are increased, our understanding will improve which will lead to advances on this field.
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Affiliation(s)
- Cesar Aliaga
- Department of Chemistry, University of Houston, Houston, TX 77204-5003, USA
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Daub CD, Patey GN, Camp PJ. Liquid–vapor criticality in a fluid of charged hard dumbbells. J Chem Phys 2003. [DOI: 10.1063/1.1609192] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kulinskii VL, Malomuzh NP. Dipole fluid as a basic model for the equation of state of ionic liquids in the vicinity of their critical point. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2003; 67:011501. [PMID: 12636500 DOI: 10.1103/physreve.67.011501] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/21/2002] [Revised: 08/15/2002] [Indexed: 05/24/2023]
Abstract
A model of dipole fluid for ionic liquids similar to molten NaCl is proposed. The estimates for the critical parameters are obtained with the help of the van der Waals equation of state. The influence of the rotation on the characteristics of a dipole pair and the location of the critical point is discussed. The dissociation of such a fluid near the critical point is considered.
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Affiliation(s)
- V L Kulinskii
- Department of Theoretical Physics, Odessa National University, 2 Dvoryanskaya, 270100 Odessa, Ukraine.
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Kulinskii VL, Malomuzh NP. Critical behavior of ionic liquids. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2002; 65:061506. [PMID: 12188731 DOI: 10.1103/physreve.65.061506] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/29/2001] [Revised: 04/05/2002] [Indexed: 05/23/2023]
Abstract
The renormalization of the Landau-Ginzburg Hamiltonian for a system with Coulombic interactions caused by spatially inhomogeneous polarizational effects is discussed. It is shown that for ionic liquids with a strong dependence of the degree of dissociation on density, the nonclassical fluctuation region is significantly narrowed. The essential role of the association of ions is noted.
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Affiliation(s)
- V L Kulinskii
- Department of Theoretical Physics, Odessa National University, 2 Dvoryanskaya Strasse, 270100 Odessa, Ukraine
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Jiang J, Blum L, Bernard O, Prausnitz JM, Sandler SI. Criticality and phase behavior in the restricted-primitive model electrolyte: Description of ion association. J Chem Phys 2002. [DOI: 10.1063/1.1468638] [Citation(s) in RCA: 42] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Holovko M. Association and clusterization in liquids and solutions. A multidensity integral equation approach. J Mol Liq 2002. [DOI: 10.1016/s0167-7322(01)00327-0] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Guissani Y, Guillot B. Chemical reactivity and phase behavior of NH4Cl by molecular dynamics simulations. II. The liquid–vapor coexistence curve. J Chem Phys 2002. [DOI: 10.1063/1.1431592] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Oleinikova A, Bonetti M. Electrical conductivity of highly concentrated electrolytes near the critical consolute point: A study of tetra-n-butylammonium picrate in alcohols of moderate dielectric constant. J Chem Phys 2001. [DOI: 10.1063/1.1415458] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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BOOTH MICHAELJ, HAYMET ADJ. Molten salts near a charged surface: integral equation approximation for a model of KCl. Mol Phys 2001. [DOI: 10.1080/00268970110075167] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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Schröer W. Generalization of the Kirkwood - Fröhlich theory of dielectric polarization for ionic fluids. J Mol Liq 2001. [DOI: 10.1016/s0167-7322(01)00178-7] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Nadolny H, Weingärtner H. Ion pair correlations near critical points of ionic fluids: Experimental investigation of the static permittivity. J Chem Phys 2001. [DOI: 10.1063/1.1349093] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Romero-Enrique JM, Orkoulas G, Panagiotopoulos AZ, Fisher ME. Coexistence and criticality in size-asymmetric hard-core electrolytes. PHYSICAL REVIEW LETTERS 2000; 85:4558-4561. [PMID: 11082595 DOI: 10.1103/physrevlett.85.4558] [Citation(s) in RCA: 69] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/28/2000] [Indexed: 05/23/2023]
Abstract
Liquid-vapor coexistence curves and critical parameters for hard-core 1:1 electrolyte models with diameter ratios lambda = sigma(-)/sigma(+) = 1 to 5.7 have been studied by fine-discretization Monte Carlo methods. Normalizing via the length scale sigma(+/-) = 1 / 2(sigma(+)+sigma(-)), relevant for the low densities in question, both T(*)(c) ( = k(B)T(c)sigma(+/-)/q(2)) and rho(*)(c) ( = rho(c)sigma(3)(+/-)) decrease rapidly (from approximately 0.05 to 0.03 and 0.08 to 0.04, respectively) as lambda increases. These trends, which unequivocally contradict current theories, are closely mirrored by results for tightly tethered dipolar dimers (with T(*)(c) lower by approximately 0%-11% and rho(*)(c) greater by 37%-12%).
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Affiliation(s)
- JM Romero-Enrique
- Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742-2431, USA
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Weingärtner H, Weiss VC, Schröer W. Ion association and electrical conductance minimum in Debye–Hückel-based theories of the hard sphere ionic fluid. J Chem Phys 2000. [DOI: 10.1063/1.481822] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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6 Equations of state from analytically solvable integral equation approximations. ACTA ACUST UNITED AC 2000. [DOI: 10.1016/s1874-5644(00)80017-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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Moreira AG, Telo da Gama MM, Fisher ME. Crossover scales at the critical points of fluids with electrostatic interactions. J Chem Phys 1999. [DOI: 10.1063/1.478879] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Weingärtner H, Nadolny HG, Käshammer S. Dielectric Properties of an Electrolyte Solution at Low Reduced Temperature. J Phys Chem B 1999. [DOI: 10.1021/jp990075t] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
| | - Holger G. Nadolny
- Physikalische Chemie II, Ruhr-Universität Bochum, D-44870 Bochum, Germany
| | - Stefan Käshammer
- Physikalische Chemie II, Ruhr-Universität Bochum, D-44870 Bochum, Germany
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Schröer W, Weiss VC. Ginzburg criterion for the crossover behavior of model fluids. J Chem Phys 1998. [DOI: 10.1063/1.477515] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Weiss VC, Schröer W. Macroscopic theory for equilibrium properties of ionic-dipolar mixtures and application to an ionic model fluid. J Chem Phys 1998. [DOI: 10.1063/1.476210] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Stafiej J, Badiali JP. A simple model for Coulombic systems. Thermodynamics, correlation functions and criticality. J Chem Phys 1997. [DOI: 10.1063/1.473919] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Lee BP, Fisher ME. Density fluctuations in an electrolyte from generalized Debye-Hückel theory. PHYSICAL REVIEW LETTERS 1996; 76:2906-2909. [PMID: 10060821 DOI: 10.1103/physrevlett.76.2906] [Citation(s) in RCA: 45] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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