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Algaba J, Mendiboure B, Gómez-Álvarez P, Blas FJ. Density functional theory for the prediction of interfacial properties of molecular fluids within the SAFT-γ coarse-grained approach. RSC Adv 2022; 12:18821-18833. [PMID: 35873311 PMCID: PMC9241058 DOI: 10.1039/d2ra02162e] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/03/2022] [Accepted: 06/16/2022] [Indexed: 11/21/2022] Open
Abstract
Recently, we have proposed the SAFT-VR Mie MF DFT approach [Algaba et al., Phys. Chem. Chem. Phys., 2019, 21, 11937–11948] to investigate systems that exhibit fluid–fluid interfaces. This formalism is based on the combination of the Statistical Associating Fluid Theory for attractive potentials of variable range using Mie intermolecular potential (SAFT-VR Mie) and a Density Functional Theory (DFT) treatment of the free energy. A mean-field approach is used to evaluate the attractive term, neglecting the pair correlations associated to attractions. This theory has been combined with reported SAFT-γ Coarse-Grained (CG) Mie force fields to provide an excellent description of the vapor–liquid interface of carbon dioxide and water pure fluids. The present work is a natural and necessary extension of this previous study. We assess the adequacy of the proposed methodology for dealing with inhomogeneous fluid systems of large complex molecules, in particular carbon tetrafluoride and sulfur hexafluoride greenhouse gases, the refrigerant 2,3,3,3-tetrafluoro-1-propene, and the long-chain n-decane and n-eicosane hydrocarbons. The obvious diversity of these fluids, their chemical and industrial interest, and the fact of that SAFT-γ CG Mie force fields have been reported for them justify such choice. With the aim of testing the theory, we perform Molecular Dynamics simulations in the canonical ensemble using the direct coexistence technique for the same models. We focus both on bulk, such as coexistence diagrams and vapor pressure curves, as well as interfacial properties, including surface tension. The comparison of the theoretical predictions with the computational results as well as with experimental data taken from the literature demonstrates the reliability and generalization of this method for dealing simultaneously with vapor–liquid equilibrium and interfacial phenomena. Hence, it appears as a potential tool for the interface analysis, with the main advantage over molecular simulation of low computational cost, and solving the experimental difficulties in accurately measuring the surface tension of certain systems. Comparison of the vapour–liquid surface tensions for substances studied in this work as obtained from SAFT-VR Mie DFT and experiments.![]()
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Affiliation(s)
- Jesús Algaba
- Department of Chemical Engineering, Imperial College London South Kensington Campus London SW7 2AZ UK
| | - Bruno Mendiboure
- Laboratoire des Fluides Complexes et Leurs Reserviors, UMR5150, Université de Pau et des Pays de l'Adour B. P. 1155 Pau Cedex 64014 France
| | - Paula Gómez-Álvarez
- Laboratorio de Simulación Molecular y Química Computacional, CIQSO-Centro de Investigación en Química Sostenible and Departamento de Ciencias Integradas, Universidad de Huelva 21007 Huelva Spain
| | - Felipe J Blas
- Laboratorio de Simulación Molecular y Química Computacional, CIQSO-Centro de Investigación en Química Sostenible and Departamento de Ciencias Integradas, Universidad de Huelva 21007 Huelva Spain
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Silva GM, Justino J, Morgado P, Teixeira M, Pereira LM, Vega LF, Filipe EJ. Detailed surface characterization of highly fluorinated liquid alcohols: Experimental surface tensions, molecular simulations and soft-SAFT theory. J Mol Liq 2020. [DOI: 10.1016/j.molliq.2019.112294] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022]
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Algaba J, Míguez JM, Mendiboure B, Blas FJ. An accurate density functional theory for the vapor–liquid interface of chain molecules based on the statistical associating fluid theory for potentials of variable range for Mie chainlike fluids. Phys Chem Chem Phys 2019; 21:11937-11948. [DOI: 10.1039/c9cp01597c] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Abstract
A new Helmholtz free energy density functional is presented to predict the vapor–liquid interface of chainlike molecules.
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Affiliation(s)
- Jesús Algaba
- Laboratorio de Simulación Molecular y Química Computacional
- CIQSO-Centro de Investigación en Química Sostenible and Departamento de Ciencias Integradas
- Universidad de Huelva
- 21007 Huelva
- Spain
| | - José Manuel Míguez
- Laboratorio de Simulación Molecular y Química Computacional
- CIQSO-Centro de Investigación en Química Sostenible and Departamento de Ciencias Integradas
- Universidad de Huelva
- 21007 Huelva
- Spain
| | - Bruno Mendiboure
- Laboratoire des Fluides Complexes et Leurs Réservoirs
- UMR5150
- Université de Pau et des Pays de l'Adour
- Pau Cdex 64014
- France
| | - Felipe J. Blas
- Laboratorio de Simulación Molecular y Química Computacional
- CIQSO-Centro de Investigación en Química Sostenible and Departamento de Ciencias Integradas
- Universidad de Huelva
- 21007 Huelva
- Spain
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Sauer E, Gross J. Classical Density Functional Theory for Liquid–Fluid Interfaces and Confined Systems: A Functional for the Perturbed-Chain Polar Statistical Associating Fluid Theory Equation of State. Ind Eng Chem Res 2017. [DOI: 10.1021/acs.iecr.6b04551] [Citation(s) in RCA: 61] [Impact Index Per Article: 8.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Elmar Sauer
- Institute of Thermodynamics
and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring
9, 70569 Stuttgart, Germany
| | - Joachim Gross
- Institute of Thermodynamics
and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring
9, 70569 Stuttgart, Germany
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Fugel M, Weiss VC. A corresponding-states analysis of the liquid-vapor equilibrium properties of common water models. J Chem Phys 2017; 146:064505. [DOI: 10.1063/1.4975778] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022] Open
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Weiss VC. Corresponding-states behavior of SPC/E-based modified (bent and hybrid) water models. J Chem Phys 2017; 146:054506. [DOI: 10.1063/1.4975166] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
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Martínez-Ruiz FJ, Blas FJ, Moreno-Ventas Bravo AI, Míguez JM, MacDowell LG. Vapour–liquid interfacial properties of square-well chains from density functional theory and Monte Carlo simulation. Phys Chem Chem Phys 2017; 19:12296-12309. [DOI: 10.1039/c7cp01182b] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023]
Abstract
Vapour–liquid surface tension for tangent (open symbols) and vibrating (filled symbols) square-well chains.
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Affiliation(s)
- Francisco José Martínez-Ruiz
- Laboratorio de Simulación Molecular y Química Computacional
- CIQSO-Centro de Investigación en Química Sostenible and Departamento de Ciencias Integradas
- Universidad de Huelva
- 21007 Huelva
- Spain
| | - Felipe J. Blas
- Laboratorio de Simulación Molecular y Química Computacional
- CIQSO-Centro de Investigación en Química Sostenible and Departamento de Ciencias Integradas
- Universidad de Huelva
- 21007 Huelva
- Spain
| | - A. Ignacio Moreno-Ventas Bravo
- Laboratorio de Simulación Molecular y Química Computacional
- CIQSO-Centro de Investigación en Química Sostenible and Departamento de Ciencias de la Tierra
- Universidad de Huelva
- 21007 Huelva
- Spain
| | - José Manuel Míguez
- Laboratorio de Simulación Molecular y Química Computacional
- CIQSO-Centro de Investigación en Química Sostenible and Departamento de Ciencias Integradas
- Universidad de Huelva
- 21007 Huelva
- Spain
| | - Luis G. MacDowell
- Departamento de Química Física
- Facultad de Ciencias Químicas
- Universidad Complutens
- 28040 Madrid
- Spain
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Weiss VC. Corresponding-states behavior of an ionic model fluid with variable dispersion interactions. J Chem Phys 2016; 144:234502. [PMID: 27334174 DOI: 10.1063/1.4953617] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022] Open
Abstract
Guggenheim's corresponding-states approach for simple fluids leads to a remarkably universal representation of their thermophysical properties. For more complex fluids, such as polar or ionic ones, deviations from this type of behavior are to be expected, thereby supplying us with valuable information about the thermodynamic consequences of the interaction details in fluids. Here, the gradual transition of a simple fluid to an ionic one is studied by varying the relative strength of the dispersion interactions compared to the electrostatic interactions among the charged particles. In addition to the effects on the reduced surface tension that were reported earlier [F. Leroy and V. C. Weiss, J. Chem. Phys. 134, 094703 (2011)], we address the shape of the coexistence curve and focus on properties that are related to and derived from the vapor pressure. These quantities include the enthalpy and entropy of vaporization, the boiling point, and the critical compressibility factor Zc. For all of these properties, the crossover from simple to characteristically ionic fluid is seen once the dispersive attraction drops below 20%-40% of the electrostatic attraction (as measured for two particles at contact). Below this threshold, ionic fluids display characteristically low values of Zc as well as large Guggenheim and Guldberg ratios for the reduced enthalpy of vaporization and the reduced boiling point, respectively. The coexistence curves are wider and more skewed than those for simple fluids. The results for the ionic model fluid with variable dispersion interactions improve our understanding of the behavior of real ionic fluids, such as inorganic molten salts and room temperature ionic liquids, by gauging the importance of different types of interactions for thermodynamic properties.
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Affiliation(s)
- Volker C Weiss
- Bremen Center for Computational Materials Science, Universität Bremen, Am Fallturm 1, 28359 Bremen, Germany
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Weiss VC, Leroy F. Corresponding-states behavior of a dipolar model fluid with variable dispersion interactions and its relevance to the anomalies of hydrogen fluoride. J Chem Phys 2016; 144:224501. [DOI: 10.1063/1.4953365] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
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11
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Nieto-Draghi C, Fayet G, Creton B, Rozanska X, Rotureau P, de Hemptinne JC, Ungerer P, Rousseau B, Adamo C. A General Guidebook for the Theoretical Prediction of Physicochemical Properties of Chemicals for Regulatory Purposes. Chem Rev 2015; 115:13093-164. [PMID: 26624238 DOI: 10.1021/acs.chemrev.5b00215] [Citation(s) in RCA: 72] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Affiliation(s)
- Carlos Nieto-Draghi
- IFP Energies nouvelles , 1 et 4 avenue de Bois-Préau, 92852 Rueil-Malmaison, France
| | - Guillaume Fayet
- INERIS, Parc Technologique Alata, BP2 , 60550 Verneuil-en-Halatte, France
| | - Benoit Creton
- IFP Energies nouvelles , 1 et 4 avenue de Bois-Préau, 92852 Rueil-Malmaison, France
| | - Xavier Rozanska
- Materials Design S.A.R.L. , 18, rue de Saisset, 92120 Montrouge, France
| | - Patricia Rotureau
- INERIS, Parc Technologique Alata, BP2 , 60550 Verneuil-en-Halatte, France
| | | | - Philippe Ungerer
- Materials Design S.A.R.L. , 18, rue de Saisset, 92120 Montrouge, France
| | - Bernard Rousseau
- Laboratoire de Chimie-Physique, Université Paris Sud , UMR 8000 CNRS, Bât. 349, 91405 Orsay Cedex, France
| | - Carlo Adamo
- Institut de Recherche Chimie Paris, PSL Research University, CNRS, Chimie Paristech , 11 rue P. et M. Curie, F-75005 Paris, France.,Institut Universitaire de France , 103 Boulevard Saint Michel, F-75005 Paris, France
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Oleksy A, Teixeira PIC. Liquid-vapor interfaces of patchy colloids. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 91:012301. [PMID: 25679617 DOI: 10.1103/physreve.91.012301] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/24/2014] [Indexed: 06/04/2023]
Abstract
We investigate the liquid-vapor interface of a model of patchy colloids. This model consists of hard spheres decorated with short-ranged attractive sites ("patches") of different types on their surfaces. We focus on a one-component fluid with two patches of type A and nine patches of type B (2A9B colloids), which has been found to exhibit reentrant liquid-vapor coexistence curves and very low-density liquid phases. We have used the density-functional theory form of Wertheim's first-order perturbation theory of association, as implemented by Yu and Wu [J. Chem. Phys. 116, 7094 (2002)], to calculate the surface tension, and the density and degree of association profiles, at the liquid-vapor interface of our model. In reentrant systems, where AB bonds dominate, an unusual thickening of the interface is observed at low temperatures. Furthermore, the surface tension versus temperature curve reaches a maximum, in agreement with Bernardino and Telo da Gama's mesoscopic Landau-Safran theory [Phys. Rev. Lett. 109, 116103 (2012)]. If BB attractions are also present, competition between AB and BB bonds gradually restores the monotonic temperature dependence of the surface tension. Lastly, the interface is "hairy," i.e., it contains a region where the average chain length is close to that in the bulk liquid, but where the density is that of the vapor. Sufficiently strong BB attractions remove these features, and the system reverts to the behavior seen in atomic fluids.
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Affiliation(s)
- A Oleksy
- Centro de Física Teórica e Computacional, Faculdade de Ciências da Universidade de Lisboa, Avenida Professor Gama Pinto 2, P-1649-003 Lisbon, Portugal
| | - P I C Teixeira
- Centro de Física Teórica e Computacional, Faculdade de Ciências da Universidade de Lisboa, Avenida Professor Gama Pinto 2, P-1649-003 Lisbon, Portugal and Instituto Superior de Engenharia de Lisboa, Rua Conselheiro Emídio Navarro 1, P-1950-062 Lisbon, Portugal
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Malheiro C, Mendiboure B, Plantier F, Blas FJ, Miqueu C. Density functional theory for the description of spherical non-associating monomers in confined media using the SAFT-VR equation of state and weighted density approximations. J Chem Phys 2014; 140:134707. [DOI: 10.1063/1.4869996] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023] Open
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Krebs EJ, Schulte JB, Roundy D. Improved association in a classical density functional theory for water. J Chem Phys 2014; 140:124507. [DOI: 10.1063/1.4869597] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023] Open
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15
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Klink C, Gross J. A Density Functional Theory for Vapor–Liquid Interfaces of Mixtures Using the Perturbed-Chain Polar Statistical Associating Fluid Theory Equation of State. Ind Eng Chem Res 2014. [DOI: 10.1021/ie4029895] [Citation(s) in RCA: 43] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022]
Affiliation(s)
- Christoph Klink
- Institute of Thermodynamics
and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring
9, 70569 Stuttgart, Germany
| | - Joachim Gross
- Institute of Thermodynamics
and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring
9, 70569 Stuttgart, Germany
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Hughes J, Krebs EJ, Roundy D. A classical density-functional theory for describing water interfaces. J Chem Phys 2013; 138:024509. [DOI: 10.1063/1.4774155] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023] Open
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Schulte JB, Kreitzberg PA, Haglund CV, Roundy D. Using fundamental measure theory to treat the correlation function of the inhomogeneous hard-sphere fluid. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 86:061201. [PMID: 23367925 DOI: 10.1103/physreve.86.061201] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/31/2012] [Indexed: 06/01/2023]
Abstract
We investigate the value of the correlation function of an inhomogeneous hard-sphere fluid at contact. This quantity plays a critical role in statistical associating fluid theory, which is the basis of a number of recently developed classical density functionals. We define two averaged values for the correlation function at contact and derive formulas for each of them from the White Bear version of the fundamental measure theory functional, using an assumption of thermodynamic consistency. We test these formulas, as well as two existing formulas, against Monte Carlo simulations and find excellent agreement between the Monte Carlo data and one of our averaged correlation functions.
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Affiliation(s)
- Jeff B Schulte
- Department of Physics, Oregon State University, Corvallis, Oregon 97331, USA
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Miqueu C, Míguez JM, Piñeiro MM, Lafitte T, Mendiboure B. Simultaneous Application of the Gradient Theory and Monte Carlo Molecular Simulation for the Investigation of Methane/Water Interfacial Properties. J Phys Chem B 2011; 115:9618-25. [DOI: 10.1021/jp202276k] [Citation(s) in RCA: 96] [Impact Index Per Article: 7.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Christelle Miqueu
- Laboratoire des Fluides Complexes et leurs Réservoirs, UMR5150, Université de Pau et des Pays de L’Adour, B.P. 1155, Pau, Cedex 64013, France
| | - José M. Míguez
- Departamento de Física Aplicada, Facultade de Ciencias, Universidade de Vigo, 36310 Vigo, Spain
| | - Manuel M. Piñeiro
- Departamento de Física Aplicada, Facultade de Ciencias, Universidade de Vigo, 36310 Vigo, Spain
| | - Thomas Lafitte
- Laboratoire des Fluides Complexes et leurs Réservoirs, UMR5150, Université de Pau et des Pays de L’Adour, B.P. 1155, Pau, Cedex 64013, France
| | - Bruno Mendiboure
- Laboratoire des Fluides Complexes et leurs Réservoirs, UMR5150, Université de Pau et des Pays de L’Adour, B.P. 1155, Pau, Cedex 64013, France
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Leroy F, Weiss VC. What makes ionic fluids characteristically ionic? A corresponding-states analysis of the surface tension of an ionic model fluid with variable dispersion interactions. J Chem Phys 2011; 134:094703. [DOI: 10.1063/1.3555319] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022] Open
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20
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Interfacial tension measurements and modelling of (carbon dioxide+n-alkane) and (carbon dioxide+water) binary mixtures at elevated pressures and temperatures. J Supercrit Fluids 2010. [DOI: 10.1016/j.supflu.2010.09.028] [Citation(s) in RCA: 104] [Impact Index Per Article: 7.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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Tang X, Gross J. Density functional theory for calculating surface tensions with a simple renormalization formalism for the critical point. J Supercrit Fluids 2010. [DOI: 10.1016/j.supflu.2010.09.041] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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22
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Llovell F, Galindo A, Blas FJ, Jackson G. Classical density functional theory for the prediction of the surface tension and interfacial properties of fluids mixtures of chain molecules based on the statistical associating fluid theory for potentials of variable range. J Chem Phys 2010; 133:024704. [DOI: 10.1063/1.3449143] [Citation(s) in RCA: 73] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Weiss VC. Guggenheim’s Rule and the Enthalpy of Vaporization of Simple and Polar Fluids, Molten Salts, and Room Temperature Ionic Liquids. J Phys Chem B 2010; 114:9183-94. [DOI: 10.1021/jp102653a] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/07/2023]
Affiliation(s)
- Volker C. Weiss
- Bremen Center for Computational Materials Science, Universität Bremen, Am Fallturm 1, 28359 Bremen, Germany
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24
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Khan S, Singh JK. Prewetting transitions of one site associating fluids. J Chem Phys 2010; 132:144501. [DOI: 10.1063/1.3382345] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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25
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Gross J. A density functional theory for vapor-liquid interfaces using the PCP-SAFT equation of state. J Chem Phys 2009; 131:204705. [DOI: 10.1063/1.3263124] [Citation(s) in RCA: 91] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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BUCIOR K, PATRYKIEJEW A, SOKO£LOWSKI S, PIZIO O. Liquid—liquid interface in a binary mixture of associating fluids exhibiting a closed-loop immiscibility. Mol Phys 2009. [DOI: 10.1080/0026897031000112505] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- K. BUCIOR
- a Department for the Modelling of Physico-Chemical Processes , Maria Curie-Skłodowska University , 20031 , Lublin , Poland
| | - A. PATRYKIEJEW
- a Department for the Modelling of Physico-Chemical Processes , Maria Curie-Skłodowska University , 20031 , Lublin , Poland
| | - S. SOKO£LOWSKI
- a Department for the Modelling of Physico-Chemical Processes , Maria Curie-Skłodowska University , 20031 , Lublin , Poland
| | - O. PIZIO
- b Instituto de Quimica de la UNAM , Mexico , DF , Mexico
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Zhou S, Solana JR. Progress in the Perturbation Approach in Fluid and Fluid-Related Theories. Chem Rev 2009; 109:2829-58. [DOI: 10.1021/cr900094p] [Citation(s) in RCA: 61] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/07/2023]
Affiliation(s)
- Shiqi Zhou
- State Key Laboratory of Powder Metallurgy, Central South University, Changsha, Hunan 410083, China, and School of Physics Science and Technology, Central South University, Changsha, Hunan 410083, China
| | - J. R. Solana
- Applied Physics Department, University of Cantabria, 39005 Santander, Spain
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28
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Li Z, Firoozabadi A. Interfacial tension of nonassociating pure substances and binary mixtures by density functional theory combined with Peng–Robinson equation of state. J Chem Phys 2009; 130:154108. [DOI: 10.1063/1.3100237] [Citation(s) in RCA: 50] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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29
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Najafi M, Maghari A. On the Calculation of Liquid–Vapor Interfacial Thickness Using Experimental Surface Tension Data. J SOLUTION CHEM 2009. [DOI: 10.1007/s10953-009-9401-8] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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Siderius DW, Gelb LD. Predicting gas adsorption in complex microporous and mesoporous materials using a new density functional theory of finely discretized lattice fluids. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2009; 25:1296-1299. [PMID: 19123796 DOI: 10.1021/la803666t] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
We introduce a nonlocal on-lattice version of density functional theory (DFT) that allows for efficient modeling of fluids in complex inhomogeneous materials. In its previous implementations, classical DFT has required fine discretization of the fluid density. As a result, in studies of gas adsorption it has been used only in idealized pore models with high symmetry. Our new lattice DFT dramatically reduces the computational demand required to model simple fluids and hence can be efficiently applied to complex materials with multiple directions of asymmetry. We apply our new lattice DFT to study nitrogen adsorption in a slit pore with open ends and directly obtain the correct desorption hysteresis. We also apply our DFT to predict hydrogen adsorption accurately in an atomistic model of a metal-organic framework.
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Affiliation(s)
- Daniel W Siderius
- Department of Chemistry and Center for Materials Innovation, Washington University in St Louis, St. Louis, Missouri 63130, USA
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31
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Tan SP, Adidharma H, Radosz M. Recent Advances and Applications of Statistical Associating Fluid Theory. Ind Eng Chem Res 2008. [DOI: 10.1021/ie8008764] [Citation(s) in RCA: 241] [Impact Index Per Article: 15.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023]
Affiliation(s)
- Sugata P. Tan
- Soft Material Laboratory, Department of Chemical and Petroleum Engineering, University of Wyoming, Laramie, Wyoming 82071
| | - Hertanto Adidharma
- Soft Material Laboratory, Department of Chemical and Petroleum Engineering, University of Wyoming, Laramie, Wyoming 82071
| | - Maciej Radosz
- Soft Material Laboratory, Department of Chemical and Petroleum Engineering, University of Wyoming, Laramie, Wyoming 82071
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32
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Vega C, de Miguel E. Surface tension of the most popular models of water by using the test-area simulation method. J Chem Phys 2007; 126:154707. [PMID: 17461659 DOI: 10.1063/1.2715577] [Citation(s) in RCA: 495] [Impact Index Per Article: 29.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We consider the calculation of the surface tension from simulations of several models of water, such as the traditional TIP3P, SPC, SPC/E, and TIP4P models, and the new generation of TIP4P-like models including the TIP4P/Ew, TIP4P/Ice, and TIP4P/2005. We employ a thermodynamic route proposed by Gloor et al. [J. Chem. Phys. 123, 134703 (2005)] to determine the surface tension that involves the estimate of the change in free energy associated with a small change in the interfacial area at constant volume. The values of the surface tension computed from this test-area method are found to be fully consistent with those obtained from the standard mechanical route, which is based on the evaluation of the components of the pressure tensor. We find that most models do not reproduce quantitatively the experimental values of the surface tension of water. The best description of the surface tension is given by those models that provide a better description of the vapor-liquid coexistence curve. The values of the surface tension for the SPC/E and TIP4P/Ew models are found to be in reasonably good agreement with the experimental values. From the present investigation, we conclude that the TIP4P/2005 model is able to accurately describe the surface tension of water over the whole range of temperatures from the triple point to the critical temperature. We also conclude that the test area is an appropriate methodological choice for the calculation of the surface tension not only for simple fluids, but also for complex molecular polar fluids, as is the case of water.
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Affiliation(s)
- C Vega
- Departamento de Química Física, Facultad de Ciencias Químicas, Universidad Complutense, 28040 Madrid, Spain.
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33
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Nie C, Marlow WH. Equilibrium adsorption of water-like molecules on single nanospheres. Mol Phys 2007. [DOI: 10.1080/00268970701241631] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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34
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Clark GNI, Haslam AJ, Galindo A, Jackson G. Developing optimal Wertheim-like models of water for use in Statistical Associating Fluid Theory (SAFT) and related approaches. Mol Phys 2006. [DOI: 10.1080/00268970601081475] [Citation(s) in RCA: 137] [Impact Index Per Article: 7.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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35
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Fu D. Investigation of Surface Tensions for Pure Fluids outside and inside the Critical Region. CHINESE J CHEM 2006. [DOI: 10.1002/cjoc.200690245] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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36
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Dominik A, Tripathi S, Chapman WG. Bulk and Interfacial Properties of Polymers from Interfacial SAFT Density Functional Theory. Ind Eng Chem Res 2006. [DOI: 10.1021/ie060329e] [Citation(s) in RCA: 47] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Aleksandra Dominik
- Department of Chemical and Biomolecular Engineering, Rice University, 6100 S. Main, Houston, Texas 77005
| | - Sandeep Tripathi
- Department of Chemical and Biomolecular Engineering, Rice University, 6100 S. Main, Houston, Texas 77005
| | - Walter G. Chapman
- Department of Chemical and Biomolecular Engineering, Rice University, 6100 S. Main, Houston, Texas 77005
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37
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Bryk P, Sokołowski S, Pizio O. Density functional theory for inhomogeneous associating chain fluids. J Chem Phys 2006; 125:24909. [PMID: 16848613 DOI: 10.1063/1.2212944] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We propose a nonlocal density functional theory for associating chain molecules. The chains are modeled as tangent spheres, which interact via Lennard-Jones (12,6) attractive interactions. A selected segment contains additional, short-ranged, highly directional interaction sites. The theory incorporates an accurate treatment of the chain molecules via the intramolecular potential formalism and should accurately describe systems with strongly varying external fields, e.g., attractive walls. Within our approach we investigate the structure of the liquid-vapor interface and capillary condensation of a simple model of associating chains with only one associating site placed on the first segment. In general, the properties of inhomogeneous associating chains depend on the association energy. Similar to the bulk systems we find the behavior of associating chains of a given length to be in between that for the nonassociating chains of the same length and that for the nonassociating chains twice as large.
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Affiliation(s)
- P Bryk
- Department for the Modeling of Physico-Chemical Processes, MCS University, 20031 Lublin, Poland.
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38
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Orea P. Monte Carlo study of interfacial properties of associating fluids. J Chem Phys 2005; 123:144704. [PMID: 16238413 DOI: 10.1063/1.2041447] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Canonical Monte Carlo Simulations have been performed to calculate liquid-vapor properties of the associating square well and Lennard-Jones fluids with one and two sites. Simulations were carried out by using several values of reduced temperatures and association energies. The orthobaric densities, as well as the surface tension of associating square well fluids, were calculated and compared with those reported previously in literature; a good agreement was found among them. Results of surface tension of two-sites associating Lennard-Jones fluids are presented here for the first time.
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Affiliation(s)
- P Orea
- Programa de Ingeniería Molecular, Instituto Mexicano del Petróleo, Eje Central Lázaro Cárdenas 152, 07730 México, D. F., México
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39
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dos Ramos MC, Blas FJ. Examination of the Excess Thermodynamic Properties of n-Alkane Binary Mixtures: A Molecular Approach. J Phys Chem B 2005; 109:12145-53. [PMID: 16852498 DOI: 10.1021/jp0507142] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
A modification of the statistical associating fluid theory, the so-called Soft-SAFT equation of state, is proposed to predict the excess thermodynamic properties of binary mixtures of n-alkanes. n-Alkane molecules are modeled as fully flexible Lennard-Jones chains. This molecular model accounts for the most important microscopic features of real chainlike molecules: attractive and repulsive interactions between different chemical groups and the connectivity of the segments that form the molecules. In this work we consider an additional microscopic effect that can profoundly affect certain thermodynamic properties, namely, the conformational changes when two different n-alkane molecules are mixed. We propose, following the work of Vega and co-workers [J. Chem. Phys. 1999, 111, 3192], a simple model to account for the conformational changes in molecules. The resulting free energy is combined with the SAFT free energy to describe the excess thermodynamic properties of binary mixtures of n-alkanes. Predictions from the theory are compared with experimental data taken from the literature. The agreement between the experiments and the theoretical predictions is excellent in all cases. This work shows that although minor microscopic effects, such as the conformational changes in the molecules that form the mixtures, have only a very small effect on the usual thermodynamic properties, such as pressure, chemical potential, phase equilibria, and excess volumes, they can contribute significantly to other thermodynamic properties. In fact, one of the main conclusions of this work is that it is essential that conformational effects be taken into account in molecular-based theories if an accurate description of certain excess properties (excess enthalpy for instance) is desired.
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Affiliation(s)
- María Carolina dos Ramos
- Departamento de Física Aplicada, Facultad de Ciencias Experimentales, Universidad de Huelva, 21071 Huelva, Spain
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40
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Dong F, Yi Z. Investigation of the Phase Equilibria and Interfacial Properties for Non-polar Fluids. CHINESE J CHEM 2005. [DOI: 10.1002/cjoc.200590386] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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41
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Singh JK, Kofke DA. Molecular simulation study of effect of molecular association on vapor-liquid interfacial properties. J Chem Phys 2004; 121:9574-80. [PMID: 15538879 DOI: 10.1063/1.1808118] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Vapor-liquid interfacial properties of square-well associating fluids are studied via transition-matrix Monte Carlo simulation. Results for one-site and two-site association models are presented. Coexistence properties, surface tension, cluster distribution, density profile, and orientation profile are presented. Molecular association affects the interfacial properties and cluster fractions more than it affects the bulk densities. We observe that the surface tension exhibits a maximum with respect to association strength. This behavior is in agreement with the recent study of Peery and Evans for one site system using a square-gradient approach.
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Affiliation(s)
- Jayant K Singh
- Department of Chemical and Biological Engineering, University at Buffalo, The State University of New York, Buffalo, New York 14260-4200, USA
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42
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Singh JK, Kofke DA. Molecular Simulation Study of the Vapor–Liquid Interfacial Behavior of a Dimer-forming Associating Fluid. MOLECULAR SIMULATION 2004. [DOI: 10.1080/08927020310001657108] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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43
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Tapia-Medina C, Orea P, Mier-Y-Teran L, Alejandre J. Surface tension of associating fluids by Monte Carlo simulations. J Chem Phys 2004; 120:2337-42. [PMID: 15268372 DOI: 10.1063/1.1637031] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Canonical Monte Carlo (NVT-MC) simulations were performed to obtain surface tension and coexistence densities at the liquid-vapor interface of one-site associating Lennard-Jones and hard-core Yukawa fluids, as functions of association strength and temperature. The method to obtain the components of the pressure tensor from NVT-MC simulations was validated by comparing the equation of state of the associative hard sphere system with that coming from isothermal-isobaric Monte Carlo simulations. Surface tension of the associative Lennard-Jones fluid determined from NVT-MC is compared with previously reported results obtained by molecular dynamics simulations of a pseudomixture model of monomers and dimers. A good agreement was found between both methods. Values of surface tension of associative hard-core Yukawa fluids are presented here for the first time.
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Affiliation(s)
- Carlos Tapia-Medina
- Departamento de Energia, Universidad Autonoma Metropolitana-Azcapotzalco, Av. San Pablo 180, Col. Reynosa, 02200 Mexico, D.F., Mexico
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44
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Gloor GJ, Jackson G, Blas FJ, Del Río EM, de Miguel E. An accurate density functional theory for the vapor-liquid interface of associating chain molecules based on the statistical associating fluid theory for potentials of variable range. J Chem Phys 2004; 121:12740-59. [PMID: 15606300 DOI: 10.1063/1.1807833] [Citation(s) in RCA: 113] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
A Helmholtz free energy density functional is developed to describe the vapor-liquid interface of associating chain molecules. The functional is based on the statistical associating fluid theory with attractive potentials of variable range (SAFT-VR) for the homogenous fluid [A. Gil-Villegas, A. Galindo, P. J. Whitehead, S. J. Mills, G. Jackson, and A. N. Burgess, J. Chem. Phys. 106, 4168 (1997)]. A standard perturbative density functional theory (DFT) is constructed by partitioning the free energy density into a reference term (which incorporates all of the short-range interactions, and is treated locally) and an attractive perturbation (which incorporates the long-range dispersion interactions). In our previous work [F. J. Blas, E. Martin del Rio, E. de Miguel, and G. Jackson, Mol. Phys. 99, 1851 (2001); G. J. Gloor, F. J. Blas, E. Martin del Rio, E. de Miguel, and G. Jackson, Fluid Phase Equil. 194, 521 (2002)] we used a mean-field version of the theory (SAFT-HS) in which the pair correlations were neglected in the attractive term. This provides only a qualitative description of the vapor-liquid interface, due to the inadequate mean-field treatment of the vapor-liquid equilibria. Two different approaches are used to include the correlations in the attractive term: in the first, the free energy of the homogeneous fluid is partitioned such that the effect of correlations are incorporated in the local reference term; in the second, a density averaged correlation function is incorporated into the perturbative term in a similar way to that proposed by Toxvaerd [S. Toxvaerd, J. Chem. Phys. 64, 2863 (1976)]. The latter is found to provide the most accurate description of the vapor-liquid surface tension on comparison with new simulation data for a square-well fluid of variable range. The SAFT-VR DFT is used to examine the effect of molecular chain length and association on the surface tension. Different association schemes (dimerization, straight and branched chain formation, and network structures) are examined separately. The surface tension of the associating fluid is found to be bounded between the nonassociating and fully associated limits (both of which correspond to equivalent nonassociating systems). The temperature dependence of the surface tension is found to depend strongly on the balance between the strength and range of the association, and on the particular association scheme. In the case of a system with a strong but very localized association interaction, the surface tension exhibits the characteristic "s shaped" behavior with temperature observed in fluids such as water and alkanols. The various types of curves observed in real substances can be reproduced by the theory. It is very gratifying that a DFT based on SAFT-VR free energy can provide an accurate quantitative description of the surface tension of both the model and experimental systems.
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Affiliation(s)
- Guy J Gloor
- Department of Chemical Engineering and Chemical Technology, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
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45
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Duque D, Pàmies JC, Vega LF. Interfacial properties of Lennard-Jones chains by direct simulation and density gradient theory. J Chem Phys 2004; 121:11395-401. [PMID: 15634099 DOI: 10.1063/1.1818679] [Citation(s) in RCA: 89] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We perform a series of molecular dynamics simulations of Lennard-Jones chains systems, up to tetramers, in order to investigate the influence of temperature and chain length on their phase separation and interfacial properties. Simulation results serve as a test to check the accuracy of a statistical associated fluid theory (soft-SAFT) coupled with the density gradient theory. We focus on surface tension and density profiles. The simulations allow us to discuss the success and limitations of the theory and how to estimate the only adjustable parameter, the influence parameter. This parameter is obtained by fitting the surface tension, and then used to obtain the density profiles in a predictive manner. A good agreement is found if the temperature dependence of this parameter is neglected.(c) 2004 American Institute of Physics.
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Affiliation(s)
- Daniel Duque
- Institut de Ciència de Materials de Barcelona, Consejo Superior de Investigaciones Científicas, Campus de la Universitat, Autònoma de Barcelona, 08193 Bellaterra, Spain.
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46
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Feeney MR, Debenedetti PG. A Theoretical Study of the Interfacial Properties of Supercooled Water. Ind Eng Chem Res 2003. [DOI: 10.1021/ie030361y] [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]
Affiliation(s)
- Melissa R. Feeney
- Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08544
| | - Pablo G. Debenedetti
- Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08544
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47
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Singh JK, Kofke DA, Errington JR. Surface tension and vapor–liquid phase coexistence of the square-well fluid. J Chem Phys 2003. [DOI: 10.1063/1.1590313] [Citation(s) in RCA: 126] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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48
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Patel BH, Paricaud P, Galindo A, Maitland GC. Prediction of the Salting-Out Effect of Strong Electrolytes on Water + Alkane Solutions. Ind Eng Chem Res 2003. [DOI: 10.1021/ie020918u] [Citation(s) in RCA: 91] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- B. H. Patel
- Department of Chemical Engineering and Chemical Technology, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom, and Schlumberger Cambridge Research, High Cross, Madingley Road, Cambridge CB3 0EL, United Kingdom
| | - P. Paricaud
- Department of Chemical Engineering and Chemical Technology, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom, and Schlumberger Cambridge Research, High Cross, Madingley Road, Cambridge CB3 0EL, United Kingdom
| | - A. Galindo
- Department of Chemical Engineering and Chemical Technology, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom, and Schlumberger Cambridge Research, High Cross, Madingley Road, Cambridge CB3 0EL, United Kingdom
| | - G. C. Maitland
- Department of Chemical Engineering and Chemical Technology, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom, and Schlumberger Cambridge Research, High Cross, Madingley Road, Cambridge CB3 0EL, United Kingdom
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49
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Pizio O, Reszko-Zygmunt J, Patrykiejew A, Sokołowski S. Microscopic structure and properties of an interface between coexisting phases of an associating fluid adsorbed in slitlike pores. J Colloid Interface Sci 2003; 260:126-34. [PMID: 12742042 DOI: 10.1016/s0021-9797(02)00139-x] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
Abstract
Using density functional theory, we calculate density profiles of an associating fluid in slitlike pores. These profiles characterize an interface between two coexisting, adsorbed phases, e.g., between gaseous and liquid phases formed during capillary condensation. Our study has been carried out for weakly, as well as for strongly, associated fluids confined in pores of different widths. We also investigate the role of the fluid-wall interaction.
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Affiliation(s)
- Orest Pizio
- Instituto de Quimica de la UNAM, Coyoacán 04511, México D.F., Mexico
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50
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Alejandre J, Duda Y, Sokołowski S. Computer modeling of the liquid–vapor interface of an associating Lennard-Jones fluid. J Chem Phys 2003. [DOI: 10.1063/1.1524158] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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