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Kleinheins J, Shardt N, El Haber M, Ferronato C, Nozière B, Peter T, Marcolli C. Surface tension models for binary aqueous solutions: a review and intercomparison. Phys Chem Chem Phys 2023; 25:11055-11074. [PMID: 37039675 PMCID: PMC10132450 DOI: 10.1039/d3cp00322a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
Abstract
The liquid-air surface tension of aqueous solutions is a fundamental quantity in multi-phase thermodynamics and fluid dynamics and thus relevant in many scientific and engineering fields. Various models have been proposed for its quantitative description. This Perspective gives an overview of the most popular models and their ability to reproduce experimental data of ten binary aqueous solutions of electrolytes and organic molecules chosen to be representative of different solute types. In addition, we propose a new model which reproduces sigmoidal curve shapes (Sigmoid model) to empirically fit experimental surface tension data. The surface tension of weakly surface-active substances is well reproduced by all models. In contrast, only few models successfully model the surface tension of aqueous solutions with strongly surface-active substances. For substances with a solubility limit, usually no experimental data is available for the surface tension of supersaturated solutions and the pure liquid solute. We discuss ways in which these can be estimated and emphasize the need for further research. The newly developed Sigmoid model best reproduces the surface tension of all tested solutions and can be recommended as a model for a broad range of binary mixtures and over the entire concentration range.
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Affiliation(s)
- Judith Kleinheins
- Institute for Atmospheric and Climate Science, ETH Zürich, Universitätstrasse 16, 8092 Zürich, Switzerland.
| | - Nadia Shardt
- Institute for Atmospheric and Climate Science, ETH Zürich, Universitätstrasse 16, 8092 Zürich, Switzerland.
| | | | | | - Barbara Nozière
- Royal Institute of Technology (KTH), Department of Chemistry, Stockholm, Sweden
| | - Thomas Peter
- Institute for Atmospheric and Climate Science, ETH Zürich, Universitätstrasse 16, 8092 Zürich, Switzerland.
| | - Claudia Marcolli
- Institute for Atmospheric and Climate Science, ETH Zürich, Universitätstrasse 16, 8092 Zürich, Switzerland.
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2
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Narayanan Nair AK, Anwari Che Ruslan MF, Ramirez Hincapie ML, Sun S. Bulk and Interfacial Properties of Brine or Alkane in the Presence of Carbon Dioxide, Methane, and Their Mixture. Ind Eng Chem Res 2022. [DOI: 10.1021/acs.iecr.2c00249] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Arun Kumar Narayanan Nair
- Physical Science and Engineering Division (PSE), Computational Transport Phenomena Laboratory, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia
| | - Mohd Fuad Anwari Che Ruslan
- Physical Science and Engineering Division (PSE), Computational Transport Phenomena Laboratory, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia
| | - Marcia Luna Ramirez Hincapie
- Physical Science and Engineering Division (PSE), Computational Transport Phenomena Laboratory, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia
| | - Shuyu Sun
- Physical Science and Engineering Division (PSE), Computational Transport Phenomena Laboratory, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia
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3
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Guo Q, Hu W, Zhang Y, Zhang K, Dong B, Qin Y, Li W. Molecular dynamics simulation of the interfacial properties of methane-water and methane-brine systems. MOLECULAR SIMULATION 2021. [DOI: 10.1080/08927022.2021.1929969] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Qiuyi Guo
- Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, Dalian, People’s Republic of China
| | - Wenfeng Hu
- Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, Dalian, People’s Republic of China
| | - Yue Zhang
- Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, Dalian, People’s Republic of China
| | - Kun Zhang
- School of Ocean and Civil Engineering, Dalian Ocean University, Dalian, People’s Republic of China
| | - Bo Dong
- Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, Dalian, People’s Republic of China
- School of Energy and Power Engineering, Dalian University of Technology, Dalian, People’s Republic of China
| | - Yan Qin
- Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, Dalian, People’s Republic of China
- School of Energy and Power Engineering, Dalian University of Technology, Dalian, People’s Republic of China
| | - Weizhong Li
- Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, Dalian, People’s Republic of China
- School of Energy and Power Engineering, Dalian University of Technology, Dalian, People’s Republic of China
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4
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Shardt N, Wang Y, Jin Z, Elliott JA. Surface tension as a function of temperature and composition for a broad range of mixtures. Chem Eng Sci 2021. [DOI: 10.1016/j.ces.2020.116095] [Citation(s) in RCA: 14] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023]
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5
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Stephan S, Hasse H. Enrichment at vapour–liquid interfaces of mixtures: establishing a link between nanoscopic and macroscopic properties. INT REV PHYS CHEM 2020. [DOI: 10.1080/0144235x.2020.1777705] [Citation(s) in RCA: 25] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Affiliation(s)
- Simon Stephan
- Laboratory of Engineering Thermodynamics (LTD), TU Kaiserslautern, Kaiserslautern, Germany
| | - Hans Hasse
- Laboratory of Engineering Thermodynamics (LTD), TU Kaiserslautern, Kaiserslautern, Germany
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6
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Stephan S, Hasse H. Interfacial properties of binary mixtures of simple fluids and their relation to the phase diagram. Phys Chem Chem Phys 2020; 22:12544-12564. [DOI: 10.1039/d0cp01411g] [Citation(s) in RCA: 19] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023]
Abstract
Enrichment at vapour–liquid interfaces can be interpreted as a wetting transition in the vicinity of a three phase equilibrium.
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Affiliation(s)
- Simon Stephan
- Laboratory of Engineering Thermodynamics (LTD)
- TU Kaiserslautern
- Kaiserslautern 67663
- Germany
| | - Hans Hasse
- Laboratory of Engineering Thermodynamics (LTD)
- TU Kaiserslautern
- Kaiserslautern 67663
- Germany
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7
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Stephan S, Hasse H. Molecular interactions at vapor-liquid interfaces: Binary mixtures of simple fluids. Phys Rev E 2020; 101:012802. [PMID: 32069593 DOI: 10.1103/physreve.101.012802] [Citation(s) in RCA: 18] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/28/2019] [Indexed: 06/10/2023]
Abstract
Properties of vapor-liquid equilibria and planar interfaces of binary Lennard-Jones truncated and shifted mixtures were investigated with molecular dynamics simulations, density gradient theory, and conformal solution theory at constant liquid phase composition and temperature. The results elucidate the influence of the liquid phase interactions on the interfacial properties (surface tension, surface excess, interfacial thickness, and enrichment). The studied mixtures differ in the ratios of the dispersion energies of the two components ɛ_{2}/ɛ_{1} and the binary interaction parameter ξ. By varying ξ and ɛ_{2}/ɛ_{1}, a variety of types of phase behavior is covered by this paper. The dependence of the interfacial properties on the variables ξ and ɛ_{2}/ɛ_{1} reveals regularities that can be explained by conformal solution theory of the liquid phase. It is thereby shown that the interfacial properties of the mixtures are dominated by the mean liquid phase interactions whereas the vapor phase has only a minor influence.
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Affiliation(s)
- Simon Stephan
- Laboratory of Engineering Thermodynamics (LTD), TU Kaiserslautern, 67663 Kaiserslautern, Germany
| | - Hans Hasse
- Laboratory of Engineering Thermodynamics (LTD), TU Kaiserslautern, 67663 Kaiserslautern, Germany
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Stephan S, Langenbach K, Hasse H. Interfacial properties of binary Lennard-Jones mixtures by molecular simulation and density gradient theory. J Chem Phys 2019; 150:174704. [DOI: 10.1063/1.5093603] [Citation(s) in RCA: 35] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/22/2023] Open
Affiliation(s)
- Simon Stephan
- Laboratory of Engineering Thermodynamics (LTD), TU Kaiserslautern, Kaiserslautern, Germany
| | - Kai Langenbach
- Laboratory of Engineering Thermodynamics (LTD), TU Kaiserslautern, Kaiserslautern, Germany
| | - Hans Hasse
- Laboratory of Engineering Thermodynamics (LTD), TU Kaiserslautern, Kaiserslautern, Germany
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9
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Desgranges C, Delhommelle J. Determination of mixture properties via a combined Expanded Wang-Landau simulations-Machine Learning approach. Chem Phys Lett 2019. [DOI: 10.1016/j.cplett.2018.11.009] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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10
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Garrido JM, Piñeiro MM, Mejía A, Blas FJ. Understanding the interfacial behavior in isopycnic Lennard-Jones mixtures by computer simulations. Phys Chem Chem Phys 2016; 18:1114-24. [PMID: 26660062 DOI: 10.1039/c5cp06562c] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023]
Abstract
The physical characterization of the singular interfacial behavior of heterogeneous fluid systems is a very important step in preliminary stages of the design process, and also in the subsequent procedures for the determination of the optimal operating conditions. Molar isopycnicity or molar density inversion is a special case of phase equilibrium behavior that directly affects the relative position of phases in heterogeneous mixtures, without being affected by gravitational fields. This work is dedicated to characterize the impact of molar density inversion on the interfacial properties of Lennard-Jones binary mixtures. The results and specific trends of the molar density inversion phenomena on the peculiar calculated composition profiles across the interface and interfacial tensions are explored by using canonical molecular dynamics simulations of the Lennard-Jones binary mixtures. Our results show that the density inversion causes drastic changes in the density profiles of the mixtures. In particular, symmetrical and equal-sized Lennard-Jones mixtures always exhibit desorption along the interfacial zone, i.e. the interfacial concentration profiles show a relative minimum at the interface of the total density profiles that increases when the dispersive energy parameter (ε(ij)) between unlike species decreases. However, as the asymmetry of the Lennard-Jones mixtures increases (σ(i) ≠ σ(j)), the concentration profiles display a relative maximum at the interface, which implies the adsorption of the total density profiles along the interfacial zone.
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Affiliation(s)
- José Matías Garrido
- Dpto. de Ingeniería Química, Univ. de Concepción, POB 160-C, Concepción, Chile.
| | - Manuel M Piñeiro
- Dpto. de Física Aplicada, Fac. de Ciencias, Univ. de Vigo, E36310, Spain
| | - Andrés Mejía
- Dpto. de Ingeniería Química, Univ. de Concepción, POB 160-C, Concepción, Chile.
| | - Felipe J Blas
- Laboratorio de Simulación Molecular y Química Computacional, CIQSO-Centro de Investigación en Química Sostenible and Departamento de Física Aplicada, Universidad de Huelva, E21071 Huelva, Spain
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11
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Ghoufi A, Malfreyt P, Tildesley DJ. Computer modelling of the surface tension of the gas–liquid and liquid–liquid interface. Chem Soc Rev 2016; 45:1387-409. [DOI: 10.1039/c5cs00736d] [Citation(s) in RCA: 134] [Impact Index Per Article: 16.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
Abstract
This review presents the state of the art in molecular simulations of interfacial systems and of the calculation of the surface tension from the underlying intermolecular potential.
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Affiliation(s)
- Aziz Ghoufi
- Institut de Physique de Rennes
- UMR CNRS 6251
- 35042 Rennes
- France
| | - Patrice Malfreyt
- Institut de Chimie de Clermont-Ferrand
- ICCF
- CNRS
- UMR 6296
- F-63000 Clermont-Ferrand
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12
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Goujon F, Ghoufi A, Malfreyt P, Tildesley DJ. Controlling the Long-Range Corrections in Atomistic Monte Carlo Simulations of Two-Phase Systems. J Chem Theory Comput 2015; 11:4573-85. [DOI: 10.1021/acs.jctc.5b00377] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
Affiliation(s)
- Florent Goujon
- Institut
de Chimie de Clermont-Ferrand, Université Clermont Auvergne, Université Blaise Pascal, BP 10448, F-63000 Clermont-Ferrand, France
| | - Aziz Ghoufi
- Institut
de Physique de Rennes, Université Rennes 1, 35042 Rennes, France
| | - Patrice Malfreyt
- Institut
de Chimie de Clermont-Ferrand, Université Clermont Auvergne, Université Blaise Pascal, BP 10448, F-63000 Clermont-Ferrand, France
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Martínez-Ruiz FJ, Moreno-Ventas Bravo AI, Blas FJ. Liquid-liquid interfacial properties of a symmetrical Lennard-Jones binary mixture. J Chem Phys 2015; 143:104706. [DOI: 10.1063/1.4930276] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023] Open
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14
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Martínez-Ruiz F, Blas F. Determination of interfacial tension of binary mixtures from perturbative approaches. Mol Phys 2015. [DOI: 10.1080/00268976.2014.1001807] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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15
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Martínez-Ruiz FJ, Blas FJ, Mendiboure B, Moreno-Ventas Bravo AI. Effect of dispersive long-range corrections to the pressure tensor: The vapour-liquid interfacial properties of the Lennard-Jones system revisited. J Chem Phys 2014; 141:184701. [DOI: 10.1063/1.4900773] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- F. J. Martínez-Ruiz
- Departamento de Física Aplicada, Universidad de Huelva, 21071 Huelva, Spain
- Centro de Investigación de Física Teórica y Matemática, Universidad de Huelva, 21071 Huelva, Spain
| | - F. J. Blas
- Departamento de Física Aplicada, Universidad de Huelva, 21071 Huelva, Spain
- Centro de Investigación de Física Teórica y Matemática, Universidad de Huelva, 21071 Huelva, Spain
| | - B. Mendiboure
- Laboratoire des Fluides Complexes et leurs Réservoirs, UMR5150, Université de Pau et des Pays de l’Adour, B. P. 1155, Pau Cedex 64014, France
| | - A. I. Moreno-Ventas Bravo
- Centro de Investigación de Física Teórica y Matemática, Universidad de Huelva, 21071 Huelva, Spain
- Departamento de Geología, Facultad de Ciencias Experimentales, Universidad de Huelva, 21071 Huelva, Spain
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Garrido JM, Cifuentes L, Cartes M, Segura H, Mejía A. High-pressure interfacial tensions for nitrogen+ethanol, or hexane or 2-methoxy-2-methylbutane: A comparison between experimental tensiometry and Monte Carlo simulations. J Supercrit Fluids 2014. [DOI: 10.1016/j.supflu.2014.02.012] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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17
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Neyt JC, Wender A, Lachet V, Ghoufi A, Malfreyt P. Quantitative Predictions of the Interfacial Tensions of Liquid-Liquid Interfaces through Atomistic and Coarse Grained Models. J Chem Theory Comput 2014; 10:1887-99. [PMID: 26580519 DOI: 10.1021/ct500053c] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We report molecular simulations of oil-water liquid-liquid interfaces by using atomistic and coarse grained (CG) MARTINI force fields. We also apply the electronic continuum (EC) model to the MARTINI force field for the calculation of the interfacial tension of oil/water-salt systems. In a first step, we propose to calculate the interfacial tensions using thermodynamic and mechanical definitions of hydrocarbon-water interfacial systems modified by the addition of salts and alcohol. We also establish here the order of magnitude of the long-range corrections to the interfacial tension in fluid-fluid interfaces. Whereas the atomistic models are able to reproduce quantitatively the interfacial tension and the coexisting densities of oil-water systems, the coarse-description shows some deviations in the prediction of the interfacial tensions. Nevertheless, the physical features of these liquid-liquid interfaces are well-captured by this CG description. The CG force field offers then a very challenging alternative that will require however a more developed calibration of the parameters on the basis of liquid-liquid properties.
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Affiliation(s)
- Jean-Claude Neyt
- Clermont Université, Université Blaise Pascal , Institut de Chimie de Clermont-Ferrand, BP 10448, F-63000 Clermont-Ferrand, France.,IFP Energies nouvelles , 1-4 avenue de Bois Préau, 92852 Rueil-Malmaison, France
| | - Aurélie Wender
- IFP Energies nouvelles , 1-4 avenue de Bois Préau, 92852 Rueil-Malmaison, France
| | - Véronique Lachet
- IFP Energies nouvelles , 1-4 avenue de Bois Préau, 92852 Rueil-Malmaison, France
| | - Aziz Ghoufi
- Institut Physique de Rennes, Université Rennes 1 , 35042 Rennes, France
| | - Patrice Malfreyt
- Clermont Université, Université Blaise Pascal , Institut de Chimie de Clermont-Ferrand, BP 10448, F-63000 Clermont-Ferrand, France
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Neyt JC, Wender A, Lachet V, Szymczyk A, Ghoufi A, Malfreyt P. How does the electronic continuum model perform in the prediction of the surface tension of salt solutions? Chem Phys Lett 2014. [DOI: 10.1016/j.cplett.2014.02.014] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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19
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Malfreyt P. Calculation of the surface tension of planar interfaces by molecular simulations: from Lennard-Jones fluids to binary mixtures. MOLECULAR SIMULATION 2013. [DOI: 10.1080/08927022.2013.840891] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
Affiliation(s)
- Patrice Malfreyt
- Institut de Chimie de Clermont-Ferrand (ICCF), CNRS, UMR 6296, Clermont Université, Université Blaise Pascal, BP 10448, F-63000, Clermont-Ferrand, France
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