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Ströker P, Hellmann R, Meier K. Thermodynamic properties of krypton from Monte Carlo simulations using ab initio potentials. J Chem Phys 2022; 157:114504. [PMID: 36137797 DOI: 10.1063/5.0107851] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Ten different thermodynamic properties of the noble gas krypton were calculated by Monte Carlo simulations in the isothermal-isobaric ensemble using a highly accurate ab initio pair potential, Feynman-Hibbs corrections for quantum effects, and an extended Axilrod-Teller-Muto potential to account for nonadditive three-body interactions. Fourteen state points at a liquid and a supercritical isotherm were simulated. To obtain results representative for macroscopic systems, simulations with several particle numbers were carried out and extrapolated to the thermodynamic limit. Our results agree well with experimental data from the literature, an accurate equation of state for krypton, and a recent virial equation of state (VEOS) for krypton in the region where the VEOS has converged. These results demonstrate that very good agreement between simulation and experiment can only be achieved if nonadditive three-body interactions and quantum effects are taken into account.
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Affiliation(s)
- Philipp Ströker
- Institut für Thermodynamik, Helmut-Schmidt-Universität/Universität der Bundeswehr Hamburg, Holstenhofweg 85, 22043 Hamburg, Germany
| | - Robert Hellmann
- Institut für Thermodynamik, Helmut-Schmidt-Universität/Universität der Bundeswehr Hamburg, Holstenhofweg 85, 22043 Hamburg, Germany
| | - Karsten Meier
- Institut für Thermodynamik, Helmut-Schmidt-Universität/Universität der Bundeswehr Hamburg, Holstenhofweg 85, 22043 Hamburg, Germany
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Deiters UK, Sadus RJ. Interatomic Interactions Responsible for the Solid-Liquid and Vapor-Liquid Phase Equilibria of Neon. J Phys Chem B 2021; 125:8522-8531. [PMID: 34288687 DOI: 10.1021/acs.jpcb.1c04272] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The role of interatomic interactions on the solid-liquid and vapor-liquid equilibria of neon is investigated via molecular simulation using a combination of two-body ab initio, three-body, and quantum potentials. A new molecular simulation approach for determining phase equilibria is also reported and a comparison is made with the available experimental data. The combination of two-body plus quantum influences has the greatest overall impact on the accuracy of the prediction of solid-liquid equilibria. However, the combination of two-body + three-body + quantum interactions is required to approach an experimental accuracy for solid-liquid equilibria, which extends to pressures of tens of GPa. These interactions also combine to predict vapor-liquid equilibria to a very high degree of accuracy, including a very good estimate of the critical properties.
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Affiliation(s)
- Ulrich K Deiters
- Institute for Physical Chemistry, Faculty of Mathematics and Natural Sciences, University of Cologne, Greinstr 4-6, Köln D-50939, Germany
| | - Richard J Sadus
- Department of Computer Science and Software Engineering, Swinburne University of Technology, P.O. Box 218, Hawthorn 3122 Victoria, Australia
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Van Tat P, Deiters UK. Calculation of cross second virial coefficients using ab initio intermolecular potential energy surfaces for dimer H2-N2. Chem Phys 2019. [DOI: 10.1016/j.chemphys.2018.10.016] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Tat PV, Deiters UK. Thermodynamic Properties of Vapor-Liquid Equilibria from Monte-Carlo Simulation using ab initio Intermolecular Potentials of Systems H2-H2 and F2-F2. Z PHYS CHEM 2018. [DOI: 10.1515/zpch-2018-1260] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
Abstract
In this work, we have been carried out GEMC-NVT simulations in the temperature range 18 K–32 K for fluid hydrogen and in range 60 K–140 K for fluid fluorine using four our developed ab initio 5-site intermolecular potentials for dimers H2-H2 and F2-F2, respectively. The thermodynamic properties of vapor-liquid equilibria and the critical points of fluids hydrogen and fluorine were calculated with the obtained densities of coexisting phases and vapor pressures. The simulation results drived from ab initio pair potentials were compared with those from ab initio potential plus three-body Axilrod-Teller potential and experimental data as well as those from Monte Carlo simulation using Lennard-Jones potentials, Deiters equation of state (D1-EOS) and Benedict-Webb-Rubin equation of state (EOS) reported in the literature.
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Affiliation(s)
- Pham Van Tat
- Department for Management of Science and Technology Development , Ton Duc Thang University , Ho Chi Minh City , Viet Nam
- Faculty of Applied Sciences, Ton Duc Thang University , Ho Chi Minh City , Viet Nam
| | - Ulrich K. Deiters
- Institute of Physical Chemistry, University of Cologne , Luxemburger Str. 116, D-50939 Köln , Germany
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Calculation of second virial coefficients using ab initio intermolecular pair potentials for F2-F2 and H2-F2 dimers. Chem Phys 2017. [DOI: 10.1016/j.chemphys.2017.01.003] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Vlasiuk M, Frascoli F, Sadus RJ. Molecular simulation of the thermodynamic, structural, and vapor-liquid equilibrium properties of neon. J Chem Phys 2016; 145:104501. [DOI: 10.1063/1.4961682] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023] Open
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Calculation of intermolecular potentials for H 2 H 2 and H 2 O 2 dimers ab initio and prediction of second virial coefficients. Chem Phys 2015. [DOI: 10.1016/j.chemphys.2015.05.025] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Shirkov L, Makarewicz J. Does DFT-SAPT method provide spectroscopic accuracy? J Chem Phys 2015; 142:064102. [DOI: 10.1063/1.4907204] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Thermodynamic Properties for Applications in Chemical Industry via Classical Force Fields. MULTISCALE MOLECULAR METHODS IN APPLIED CHEMISTRY 2011; 307:201-49. [DOI: 10.1007/128_2011_164] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
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Huang YL, Heilig M, Hasse H, Vrabec J. Vapor-liquid equilibria of hydrogen chloride, phosgene, benzene, chlorobenzene, ortho-dichlorobenzene, and toluene by molecular simulation. AIChE J 2010. [DOI: 10.1002/aic.12329] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
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Anisotropic and Isotropic Light Scattering Data of Neon Gas Simultaneously Fitted by an Isotropic Ground State Interatomic Potential. Z PHYS CHEM 2009. [DOI: 10.1524/zpch.219.2.181.57305] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
Abstract
Abstract
The binary anisotropic and isotropic collision-induced light scattering spectra by gaseous room temperature neon, over an extended frequency domain have been used for deriving the empirical multi-parameter Morse–Morse–Morse–Spline van der Waals interatomic potential. These new data of scattering are accurate enough to permit for the first time a reliable determination of the isotropic potential as a function of the interatomic separation. The potential parameters describing the location and depth of the attractive well are given by ε = 41.07 K and r
m = 3.087 Å. Comparison with other potentials based on bulk properties and ab initio calculations are presented; the temperature dependence of pressure second virial coefficient, self diffusion, thermal conductivity and viscosity are also discussed for the proposed potentials. In addition, our empirical potential was used to solve the nuclear Schrödinger equation for comparison with and predication of spectroscopic properties of the dimer. The results show that it is the most accurate potential reported to date for this system.
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Eckl B, Vrabec J, Hasse H. Set of Molecular Models Based on Quantum Mechanical Ab Initio Calculations and Thermodynamic Data. J Phys Chem B 2008; 112:12710-21. [DOI: 10.1021/jp803341h] [Citation(s) in RCA: 46] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
Affiliation(s)
- Bernhard Eckl
- Institut für Technische Thermodynamik und Thermische Verfahrenstechnik, Universität Stuttgart, Pfaffenwaldring 9, 70550 Stuttgart, Germany
| | - Jadran Vrabec
- Institut für Technische Thermodynamik und Thermische Verfahrenstechnik, Universität Stuttgart, Pfaffenwaldring 9, 70550 Stuttgart, Germany
| | - Hans Hasse
- Institut für Technische Thermodynamik und Thermische Verfahrenstechnik, Universität Stuttgart, Pfaffenwaldring 9, 70550 Stuttgart, Germany
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Nasrabad AE, Laghaei R, Deiters UK. Prediction of the thermophysical properties of pure neon, pure argon, and the binary mixtures neon-argon and argon-krypton by Monte Carlo simulation usingab initiopotentials. J Chem Phys 2004; 121:6423-34. [PMID: 15446941 DOI: 10.1063/1.1783271] [Citation(s) in RCA: 74] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022] Open
Abstract
Gibbs ensemble Monte Carlo simulations were used to test the ability of intermolecular pair potentials derived ab initio from quantum mechanical principles, enhanced by Axilrod-Teller triple-dipole interactions, to predict the vapor-liquid phase equilibria of pure neon, pure argon, and the binary mixtures neon-argon and argon-krypton. The interaction potentials for Ne-Ne, Ar-Ar, Kr-Kr, and Ne-Ar were taken from literature; for Ar-Kr a different potential has been developed. In all cases the quantum mechanical calculations had been carried out with the coupled-cluster approach [CCSD(T) level of theory] and with correlation consistent basis sets; furthermore an extrapolation scheme had been applied to obtain the basis set limit of the interaction energies. The ab initio pair potentials as well as the thermodynamic data based on them are found to be in excellent agreement with experimental data; the only exception is neon. It is shown, however, that in this case the deviations can be quantitatively explained by quantum effects. The interaction potentials that have been developed permit quantitative predictions of high-pressure phase equilibria of noble-gas mixtures.
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Affiliation(s)
- A E Nasrabad
- Institute of Physical Chemistry, University of Cologne, Luxemburger Strasse 116, 50939 Koeln, Germany
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Sebastianelli F, Baccarelli I, Di Paola C, Gianturco FA. Structural and quantum effects from anionic centers in rare gas clusters: The (Ne)nH− and (Ne)n+1 systems. J Chem Phys 2003. [DOI: 10.1063/1.1599343] [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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Nasrabad AE, Deiters UK. Prediction of thermodynamic properties of krypton by Monte Carlo simulation using ab initio interaction potentials. J Chem Phys 2003. [DOI: 10.1063/1.1579671] [Citation(s) in RCA: 41] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Wüest A, Merkt F. Determination of the interaction potential of the ground electronic state of Ne2 by high-resolution vacuum ultraviolet laser spectroscopy. J Chem Phys 2003. [DOI: 10.1063/1.1566944] [Citation(s) in RCA: 62] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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GROCHOLA G, PETERSEN T, RUSSO SP, SNOOK IK. A study of basis set imbalance effects on the calculation of intramolecular potentials for van der Waals systems. Mol Phys 2002. [DOI: 10.1080/0026897021000034495] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Gann G, Vogt PS, Huber H. A relation between the systematic errors of a quantum chemical potential and of fluid properties calculated from it. Chem Phys 2001. [DOI: 10.1016/s0301-0104(00)00383-9] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Halkier A, Kirchner B, Huber H, Jaszuński M. Nuclear quadrupole coupling constant of 21Ne in the neon dimer and its influence on the T1 NMR relaxation time in fluid neon. Chem Phys 2000. [DOI: 10.1016/s0301-0104(99)00402-4] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
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Hloucha M, Sum AK, Sandler SI. Computer simulation of acetonitrile and methanol with ab initio-based pair potentials. J Chem Phys 2000. [DOI: 10.1063/1.1289888] [Citation(s) in RCA: 26] [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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Pfleiderer T, Waldner I, Bertagnolli H, Tödheide K, Kirchner B, Huber H, Fischer HE. The structure of fluid argon from high-pressure neutron diffraction andab initiomolecular dynamics simulations. J Chem Phys 1999. [DOI: 10.1063/1.479539] [Citation(s) in RCA: 14] [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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McLure IA, Ramos JE, del Río F. Accurate Effective Potentials and Virial Coefficients in Real Fluids. 1. Pure Noble Gases and Their Mixtures. J Phys Chem B 1999. [DOI: 10.1021/jp991526c] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Ian A. McLure
- Department of Chemistry, The University of Sheffield, Sheffield, S3 7HF, UK
| | - J. Eloy Ramos
- Departamento de Física, Universidad Autónoma Metropolitana Iztapalapa, Apdo 55 534, México DF, 09340, México
| | - Fernando del Río
- Departamento de Física, Universidad Autónoma Metropolitana Iztapalapa, Apdo 55 534, México DF, 09340, México
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Dysthe DK, Fuchs AH, Rousseau B, Durandeau M. Fluid transport properties by equilibrium molecular dynamics. II. Multicomponent systems. J Chem Phys 1999. [DOI: 10.1063/1.478287] [Citation(s) in RCA: 37] [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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KIRCHNER BARBARA, ERMAKOVA ELENA, STEINEBRUNNER GEROLD, DYSON ANTHONYJ, HUBER HANSPETER. Ab initio calculation of the NMR spin-lattice relaxation time and the diffusion coefficient of 21Ne in liquid and supercritical states. Mol Phys 1998. [DOI: 10.1080/002689798168123] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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28
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Solca J, Dyson AJ, Steinebrunner G, Kirchner B, Huber H. Melting curves for neon calculated from pure theory. J Chem Phys 1998. [DOI: 10.1063/1.475808] [Citation(s) in RCA: 61] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kleinekathöfer U, Tang KT, Toennies JP, Yiu CL. Van der Waals potentials of He2, Ne2, and Ar2 with the exchange energy calculated by the surface integral method. J Chem Phys 1997. [DOI: 10.1063/1.475246] [Citation(s) in RCA: 43] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Solca J, Dyson AJ, Steinebrunner G, Kirchner B, Huber H. Melting curve for argon calculated from pure theory. Chem Phys 1997. [DOI: 10.1016/s0301-0104(97)00317-0] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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31
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An unusual basis set superposition error in the electric field gradient of the neon dimer calculated with bond functions. Chem Phys Lett 1997. [DOI: 10.1016/s0009-2614(97)00009-2] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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32
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Welker M, Steinebrunner G, Solca J, Huber H. Ab initio calculation of the intermolecular potential energy surface of (CO2)2 and first applications in simulations of fluid CO2. Chem Phys 1996. [DOI: 10.1016/s0301-0104(96)00282-0] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Yin D, MacKerell AD. Ab Initio Calculations on the Use of Helium and Neon as Probes of the van der Waals Surfaces of Molecules. ACTA ACUST UNITED AC 1996. [DOI: 10.1021/jp9521971] [Citation(s) in RCA: 46] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Daxu Yin
- Department of Pharmaceutical Sciences, School of Pharmacy, University of Maryland at Baltimore, 20 North Pine Street, Baltimore, Maryland 21201
| | - Alexander D. MacKerell
- Department of Pharmaceutical Sciences, School of Pharmacy, University of Maryland at Baltimore, 20 North Pine Street, Baltimore, Maryland 21201
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Ermakova E, Solca J, Huber H, Welker M. Argon in condensed phase: Quantitative calculations of structural, thermodynamic, and transport properties from pure theory. J Chem Phys 1995. [DOI: 10.1063/1.469542] [Citation(s) in RCA: 28] [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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