skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Predicting vapor liquid equilibria using density functional theory: A case study of argon

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.5025726· OSTI ID:1543859
 [1]; ORCiD logo [2];  [1];  [1];  [3]; ORCiD logo [1]
  1. Mississippi State Univ., Mississippi State, MS (United States)
  2. Univ. College London, London (United Kingdom); Univ. of Nottingham, Nottingham (United Kingdom)
  3. Univ. College London, London (United Kingdom)

Predicting vapor liquid equilibria (VLE) of molecules governed by weak van der Waals (vdW) interactions using the first principles approach is a significant challenge. Due to the poor scaling of the post Hartree-Fock wave function theory with system size/basis functions, the Kohn-Sham density functional theory (DFT) is preferred for systems with a large number of molecules. However, traditional DFT cannot adequately account for medium to long range correlations which are necessary for modeling vdW interactions. Recent developments in DFT such as dispersion corrected models and nonlocal van der Waals functionals have attempted to address this weakness with a varying degree of success. In this work, we predict the VLE of argon and assess the performance of several density functionals and the second order Møller-Plesset perturbation theory (MP2) by determining critical and structural properties via first principles Monte Carlo simulations. PBE-D3, BLYP-D3, and rVV10 functionals were used to compute vapor liquid coexistence curves, while PBE0-D3, M06-2X-D3, and MP2 were used for computing liquid density at a single state point. Here, the performance of the PBE-D3 functional for VLE is superior to other functionals (BLYP-D3 and rVV10). At T = 85 K and P = 1 bar, MP2 performs well for the density and structural features of the first solvation shell in the liquid phase.

Research Organization:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Univ. of California, Oakland, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1543859
Alternate ID(s):
OSTI ID: 1441250
Journal Information:
Journal of Chemical Physics, Vol. 148, Issue 22; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 9 works
Citation information provided by
Web of Science

References (100)

Molecular Dynamics Simulation of Liquid Water:  Hybrid Density Functionals journal March 2006
Random-phase approximation correlation methods for molecules and solids journal November 2011
Hybrid functionals based on a screened Coulomb potential journal May 2003
Semiempirical hybrid density functional with perturbative second-order correlation journal January 2006
Vapor–Liquid Coexistence Curves for Methanol and Methane Using Dispersion-Corrected Density Functional Theory journal October 2011
Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis journal August 1980
Molecular Dynamics Simulation of Argon, Krypton, and Xenon Using Two-Body and Three-Body Intermolecular Potentials journal May 2006
Jacob’s ladder of density functional approximations for the exchange-correlation energy conference January 2001
Argon pair potential at basis set and excitation limits journal September 2010
Direct determination of phase coexistence properties of fluids by Monte Carlo simulation in a new ensemble journal July 1987
Self-Consistent Polarization Density Functional Theory: Application to Argon journal March 2009
Isotherms of argon between 0°c and 150°c and pressures up to 2900 atmospheres journal August 1949
Accurate description of van der Waals complexes by density functional theory including empirical corrections journal January 2004
Nonlocal van der Waals functionals: The case of rare-gas dimers and solids journal May 2013
Quickstep: Fast and accurate density functional calculations using a mixed Gaussian and plane waves approach journal April 2005
Correlation problems in atomic and molecular systems III. Rederivation of the coupled-pair many-electron theory using the traditional quantum chemical methodst journal July 1971
Argon in condensed phase: Quantitative calculations of structural, thermodynamic, and transport properties from pure theory journal March 1995
Vapor-liquid nucleation of argon: Exploration of various intermolecular potentials journal August 2010
The argon and krypton interatomic potentials revisited journal July 1986
Short-range correlations in nuclear wave functions journal June 1960
A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu journal April 2010
Accurate ab initio potential for argon dimer including highly repulsive region journal August 2005
State-of-the-art correlated ab initio potential energy curves for heavy rare gas dimers: Ar2, Kr2, and Xe2 journal July 2003
Assessing the accuracy of the van der Waals density functionals for rare-gas and small molecular systems journal May 2015
Molecular simulation of the phase behavior of noble gases using accurate two-body and three-body intermolecular potentials journal July 1999
The individual and collective effects of exact exchange and dispersion interactions on the ab initio structure of liquid water journal August 2014
Prediction of the bubble point pressure for the binary mixture of ethanol and 1,1,1,2,3,3,3-heptafluoropropane from Gibbs ensemble Monte Carlo simulations using the TraPPE force field journal November 2007
Challenges for Density Functional Theory journal December 2011
Liquid Water from First Principles:  Investigation of Different Sampling Approaches journal August 2004
Random-phase approximation and its applications in computational chemistry and materials science journal June 2012
Probing the structural and dynamical properties of liquid water with models including non-local electron correlation journal August 2015
Kinetic energy density dependent approximations to the exchange energy journal July 1999
Ab initio molecular dynamics using hybrid density functionals journal June 2008
Density functional theory with London dispersion corrections: Density functional theory with London dispersion corrections journal March 2011
Exchange-correlation functional with broad accuracy for metallic and nonmetallic compounds, kinetics, and noncovalent interactions journal October 2005
Semiempirical GGA-type density functional constructed with a long-range dispersion correction journal January 2006
Computer simulations of vapor–liquid phase equilibria of n ‐alkanes journal February 1995
The calculation of small molecular interactions by the differences of separate total energies. Some procedures with reduced errors journal October 1970
Complete basis set limit second-order Møller–Plesset calculations for the fcc lattices of neon, argon, krypton, and xenon journal December 2009
Benchmark Calculations of Interaction Energies in Noncovalent Complexes and Their Applications journal March 2016
Ab Initio Calculation of Vibrational Absorption and Circular Dichroism Spectra Using Density Functional Force Fields journal November 1994
On the Clausius–Clapeyron Vapor Pressure Equation journal January 2009
Vapor–liquid equilibria of water from first principles: comparison of density functionals and basis sets journal November 2006
Electron correlation methods based on the random phase approximation journal January 2012
The exchange-correlation potential in ab initio density functional theory journal January 2005
NpT -ensemble Monte Carlo calculations for binary liquid mixtures journal January 1972
cp2k: atomistic simulations of condensed matter systems
  • Hutter, Jürg; Iannuzzi, Marcella; Schiffmann, Florian
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 4, Issue 1 https://doi.org/10.1002/wcms.1159
journal June 2013
Efficient and Accurate Double-Hybrid-Meta-GGA Density Functionals—Evaluation with the Extended GMTKN30 Database for General Main Group Thermochemistry, Kinetics, and Noncovalent Interactions journal December 2010
A link between the two-body and three-body interaction energies of fluids from molecular simulation journal April 2000
Dielectric Properties of Water Ice, the Ice Ih/XI Phase Transition, and an Assessment of Density Functional Theory journal January 2014
Nonlocal van der Waals density functional: The simpler the better journal December 2010
Density Functionals with Broad Applicability in Chemistry journal February 2008
Forces and stress in second order Møller-Plesset perturbation theory for condensed phase systems within the resolution-of-identity Gaussian and plane waves approach journal September 2015
Configurational bias Monte Carlo: a new sampling scheme for flexible chains journal January 1992
Second-Order Møller–Plesset Perturbation Theory in the Condensed Phase: An Efficient and Massively Parallel Gaussian and Plane Waves Approach journal September 2012
Using a classical potential as an efficient importance function for sampling from an ab initio potential journal January 2000
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen journal January 1989
Beyond Born–Mayer: Improved Models for Short-Range Repulsion in ab Initio Force Fields journal July 2016
Periodic MP2, RPA, and Boundary Condition Assessment of Hydrogen Ordering in Ice XV journal November 2014
Electron affinities of the first‐row atoms revisited. Systematic basis sets and wave functions journal May 1992
Towards chemical accuracy for the thermodynamics of large molecules: new hybrid density functionals including non-local correlation effects journal January 2006
Phase Equilibria and Condensed Phase Properties of Fluorinated Alkanes via First Principles Simulations journal December 2017
Ab initio pair potential energy curve for the argon atom pair and thermophysical properties for the dilute argon gas. II. Thermophysical properties for low-density argon journal December 2010
Development and testing of a general amber force field journal January 2004
Investigation of Exchange Energy Density Functional Accuracy for Interacting Molecules journal August 2009
Exploring the limits of gradient corrections in density functional theory journal January 1999
Electronic Structure of Aqueous Sulfuric Acid from First-Principles Simulations with Hybrid Functionals journal July 2014
Simulating Fluid-Phase Equilibria of Water from First Principles journal January 2006
Electron Correlation in the Condensed Phase from a Resolution of Identity Approach Based on the Gaussian and Plane Waves Scheme journal May 2013
The van der Waals potentials between all the rare gas atoms from He to Rn journal March 2003
Density‐functional thermochemistry. III. The role of exact exchange journal April 1993
Vacuum ultraviolet laser spectroscopy. V. Rovibronic spectra of Ar 2 and constants of the ground and excited states journal October 1988
Development and Testing of the OPLS All-Atom Force Field on Conformational Energetics and Properties of Organic Liquids journal January 1996
Prescription for the design and selection of density functional approximations: More constraint satisfaction with fewer fits journal August 2005
Computer simulations in the Gibbs ensemble journal November 1989
Bound states of a many-particle system journal June 1958
Many-Body Effects on the Thermodynamics of Fluids, Mixtures, and Nanoconfined Fluids journal October 2015
The random phase approximation applied to ice journal February 2014
Structural, Dynamical, and Electronic Properties of Liquid Water: A Hybrid Functional Study journal July 2016
Ab initio pair potential energy curve for the argon atom pair and thermophysical properties of the dilute argon gas. I. Argon–argon interatomic potential and rovibrational spectra journal October 2009
Performance of density functionals for modeling vapor liquid equilibria of CO 2 and SO 2 journal November 2017
Transferable Potentials for Phase Equilibria. 9. Explicit Hydrogen Description of Benzene and Five-Membered and Six-Membered Heterocyclic Aromatic Compounds journal September 2007
Random-Phase Approximation Methods journal May 2017
Computational studies on thermodynamic properties, effective diameters, and free volume of argon using an ab initio potential journal August 2006
Toward reliable density functional methods without adjustable parameters: The PBE0 model journal April 1999
Assessment of the Perdew–Burke–Ernzerhof exchange-correlation functional journal March 1999
Perspective: Advances and challenges in treating van der Waals dispersion forces in density functional theory journal September 2012
Vapor Liquid Equilibria of Hydrofluorocarbons Using Dispersion-Corrected and Nonlocal Density Functionals journal June 2016
Auxiliary Density Matrix Methods for Hartree−Fock Exchange Calculations journal July 2010
First Principles Simulations of the Infrared Spectrum of Liquid Water Using Hybrid Density Functionals journal March 2011
A Set of Molecular Models for Symmetric Quadrupolar Fluids journal December 2001
Ab initio interatomic potentials and the thermodynamic properties of fluids journal July 2017
Bulk Liquid Water at Ambient Temperature and Pressure from MP2 Theory journal October 2013
On the Correlation Problem in Atomic and Molecular Systems. Calculation of Wavefunction Components in Ursell‐Type Expansion Using Quantum‐Field Theoretical Methods journal December 1966
Climbing the ladder of density functional approximations journal September 2013
Density and Compressibility of Liquid Water and Ice from First-Principles Simulations with Hybrid Functionals journal July 2015
Monte Carlo simulations using sampling from an approximate potential journal May 2003
A novel form for the exchange-correlation energy functional journal July 1998
Predicting vapor-liquid phase equilibria with augmented ab initio interatomic potentials journal June 2017
Perspective: How good is DFT for water? journal April 2016

Similar Records

Performance of density functionals for modeling vapor liquid equilibria of CO2 and SO2
Journal Article · Tue Nov 21 00:00:00 EST 2017 · Journal of Computational Chemistry · OSTI ID:1543859

Assessing electronic structure approaches for gas-ligand interactions in metal-organic frameworks: The CO{sub 2}-benzene complex
Journal Article · Fri Mar 14 00:00:00 EDT 2014 · Journal of Chemical Physics · OSTI ID:1543859

Long-range dispersion-corrected density functional for noncovalent interactions
Journal Article · Sun Oct 20 00:00:00 EDT 2019 · International Journal of Modern Physics B · OSTI ID:1543859