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Title: Ab initio molecular dynamics simulations of liquid water using high quality meta-GGA functionals

Journal Article · · Chemical Science
DOI:https://doi.org/10.1039/c6sc04711d· OSTI ID:1379628

We have used ab initio molecular dynamics (AIMD) to characterize water properties using two meta-generalized gradient approximation (meta-GGA) functionals, M06-L-D3 and B97M-rV, and compared their performance against a standard GGA corrected for dispersion, revPBE-D3, at ambient conditions (298 K, and 1 g cm–3 or 1 atm). Simulations of the equilibrium density, radial distribution functions, self-diffusivity, the infrared spectrum, liquid dipole moments, and characterizations of the hydrogen bond network show that all three functionals have overcome the problem of the early AIMD simulations that erroneously found ambient water to be highly structured, but they differ substantially among themselves in agreement with experiment on this range of water properties. We show directly using water cluster data up through the pentamer that revPBE-D3 benefits from a cancellation of its intrinsic functional error by running classical trajectories, whereas the meta-GGA functionals are demonstrably more accurate and would require the simulation of nuclear quantum effects to realize better agreement with all cluster and condensed phase properties.

Research Organization:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1379628
Journal Information:
Chemical Science, Vol. 8, Issue 5; ISSN 2041-6520
Publisher:
Royal Society of ChemistryCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 67 works
Citation information provided by
Web of Science

References (124)

Generalized Gradient Approximation Made Simple journal October 1996
Nonlocal van der Waals density functional made simple and efficient journal January 2013
Molecular Dynamics Simulation of Liquid Water:  Hybrid Density Functionals journal March 2006
Libxc: A library of exchange and correlation functionals for density functional theory journal October 2012
Ab Initio Molecular Dynamics with Discrete Variable Representation Basis Sets:  Techniques and Application to Liquid Water journal April 2006
Delocalization error of density-functional approximations: A distinct manifestation in hydrogen molecular chains journal December 2012
Importance of van der Waals Interactions in Liquid Water journal January 2009
Quantum diffusion in liquid water from ring polymer molecular dynamics journal October 2005
Scaling behaviour for the water transport in nanoconfined geometries journal April 2014
Hydrogen bonding definitions and dynamics in liquid water journal May 2007
The molecular structure of liquid water delivered by absorption spectroscopy in the whole IR region completed with thermodynamics data journal October 2011
Nuclear Quantum Effects in Water and Aqueous Systems: Experiment, Theory, and Current Challenges journal April 2016
Water—The Most Anomalous Liquid journal April 2016
Quickstep: Fast and accurate density functional calculations using a mixed Gaussian and plane waves approach journal April 2005
Comment on “Generalized Gradient Approximation Made Simple” journal January 1998
Advances in molecular quantum chemistry contained in the Q-Chem 4 program package journal September 2014
Unified Approach for Molecular Dynamics and Density-Functional Theory journal November 1985
On the accuracy of density-functional theory exchange-correlation functionals for H bonds in small water clusters. II. The water hexamer and van der Waals interactions journal November 2008
State of the Art in Counterpoise Theory journal November 1994
Insights into Current Limitations of Density Functional Theory journal August 2008
A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu journal April 2010
Structure and Dynamics of Liquid Water from ab Initio Molecular Dynamics—Comparison of BLYP, PBE, and revPBE Density Functionals with and without van der Waals Corrections journal March 2012
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Gaussian basis sets for accurate calculations on molecular systems in gas and condensed phases journal September 2007
New accurate benchmark energies for large water clusters: DFT is better than expected journal January 2014
The individual and collective effects of exact exchange and dispersion interactions on the ab initio structure of liquid water journal August 2014
Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density journal January 1988
How van der Waals interactions determine the unique properties of water journal July 2016
Infrared and Raman Spectroscopy of Liquid Water through “First-Principles” Many-Body Molecular Dynamics journal February 2015
Observation of Water Confined in Nanometer Channels of Closed Carbon Nanotubes journal November 2004
Tetrahedral structure or chains for liquid water journal May 2006
Assessment of the Pairwise Additive Approximation and Evaluation of Many-Body Terms for Water Clusters journal June 2006
Liquid Water from First Principles:  Investigation of Different Sampling Approaches journal August 2004
A Stochastic, Resonance-Free Multiple Time-Step Algorithm for Polarizable Models That Permits Very Large Time Steps journal April 2016
Isobaric−Isothermal Molecular Dynamics Simulations Utilizing Density Functional Theory: An Assessment of the Structure and Density of Water at Near-Ambient Conditions journal September 2009
System-Size Dependence of Diffusion Coefficients and Viscosities from Molecular Dynamics Simulations with Periodic Boundary Conditions journal October 2004
Coupled cluster benchmarks of water monomers and dimers extracted from density-functional theory liquid water: The importance of monomer deformations journal September 2009
A quantum model for water: Equilibrium and dynamical properties journal February 1997
Climbing the Density Functional Ladder: Nonempirical Meta–Generalized Gradient Approximation Designed for Molecules and Solids journal September 2003
Structural and Vibrational Properties of Liquid Water from van der Waals Density Functionals journal August 2011
Van der Waals Density Functional for General Geometries journal June 2004
Mapping the genome of meta-generalized gradient approximation density functionals: The search for B97M-V journal February 2015
Development of an improved four-site water model for biomolecular simulations: TIP4P-Ew journal May 2004
Ab initio molecular dynamics using hybrid density functionals journal June 2008
Semiempirical GGA-type density functional constructed with a long-range dispersion correction journal January 2006
Benchmark oxygen-oxygen pair-distribution function of ambient water from x-ray diffraction measurements with a wide Q -range journal February 2013
Van der Waals Interactions Between Organic Adsorbates and at Organic/Inorganic Interfaces journal June 2010
Structure, Dynamics, and Spectral Diffusion of Water from First-Principles Molecular Dynamics journal September 2014
Development of a “First-Principles” Water Potential with Flexible Monomers. III. Liquid Phase Properties journal July 2014
The missing term in effective pair potentials journal November 1987
Vapor–liquid equilibria of water from first principles: comparison of density functionals and basis sets journal November 2006
Building Force Fields: An Automatic, Systematic, and Reproducible Approach journal May 2014
Implementation and assessment of a simple nonlocal van der Waals density functional journal April 2010
Nonlocal van der Waals density functional: The simpler the better journal December 2010
Enhanced flow in carbon nanotubes journal November 2005
Ab Initio van der Waals Interactions in Simulations of Water Alter Structure from Mainly Tetrahedral to High-Density-Like journal December 2011
Current Status of the AMOEBA Polarizable Force Field journal March 2010
Systematic Parametrization of Polarizable Force Fields from Quantum Chemistry Data journal November 2012
Density-functional exchange-energy approximation with correct asymptotic behavior journal September 1988
Assessing the accuracy of some popular DFT methods for computing harmonic vibrational frequencies of water clusters journal December 2015
On the basis set superposition error in potential surface investigations. I. Hydrogen‐bonded complexes with standard basis set functions journal April 1983
Basis set convergence of the coupled-cluster correction, δMP2CCSD(T): Best practices for benchmarking non-covalent interactions and the attendant revision of the S22, NBC10, HBC6, and HSG databases journal November 2011
On the phase diagram of water with density functional theory potentials: The melting temperature of ice Ih with the Perdew–Burke–Ernzerhof and Becke–Lee–Yang–Parr functionals journal June 2009
Hydrogen-bond kinetics in liquid water journal January 1996
An ab Initio Molecular Dynamics Study of the Aqueous Liquid-Vapor Interface journal January 2004
Benchmark database of accurate (MP2 and CCSD(T) complete basis set limit) interaction energies of small model complexes, DNA base pairs, and amino acid pairs journal January 2006
Revised Parameters for the AMOEBA Polarizable Atomic Multipole Water Model journal September 2014
Isothermal compressibility of supercooled water and evidence for a thermodynamic singularity at −45°C journal August 1976
Quantum calculations of the IR spectrum of liquid water using ab initio and model potential and dipole moment surfaces and comparison with experiment journal May 2015
Accurate Molecular Van Der Waals Interactions from Ground-State Electron Density and Free-Atom Reference Data journal February 2009
Family of Oxygen–Oxygen Radial Distribution Functions for Water journal July 2015
Density, structure, and dynamics of water: The effect of van der Waals interactions journal January 2011
Advanced Potential Energy Surfaces for Condensed Phase Simulation journal April 2014
Insights in quantum dynamical effects in the infrared spectroscopy of liquid water from a semiclassical study with an ab initio -based flexible and polarizable force field journal December 2011
Advanced Potential Energy Surfaces for Molecular Simulation journal August 2016
An efficient and stable hybrid extended Lagrangian/self-consistent field scheme for solving classical mutual induction journal November 2015
Accounting for Electronic Polarization Effects in Aqueous Sodium Chloride via Molecular Dynamics Aided by Neutron Scattering journal July 2015
The structure of ambient water journal June 2010
Benchmark Structures and Harmonic Vibrational Frequencies Near the CCSD(T) Complete Basis Set Limit for Small Water Clusters: (H 2 O) n  = 2, 3, 4, 5, 6 journal April 2015
A unified formulation of the constant temperature molecular dynamics methods journal July 1984
A hybrid Gaussian and plane wave density functional scheme journal October 1997
Relationship between structural order and the anomalies of liquid water journal January 2001
Topological Hydrogen-Bond Definition to Characterize the Structure and Dynamics of Liquid Water journal December 2010
Assessing the accuracy of quantum Monte Carlo and density functional theory for energetics of small water clusters journal June 2012
Effect of Counterpoise Correction on the Geometries and Vibrational Frequencies of Hydrogen Bonded Systems journal May 2001
Structure of liquid water at ambient temperature from ab initio molecular dynamics performed in the complete basis set limit journal October 2006
A molecular dynamics method for simulations in the canonical ensemble journal June 1984
Dispersion Interactions with Density-Functional Theory: Benchmarking Semiempirical and Interatomic Pairwise Corrected Density Functionals journal October 2011
Dynamical properties of liquid water from ab initio molecular dynamics performed in the complete basis set limit journal April 2007
Dispersion corrected RPBE studies of liquid water journal August 2014
Characterizing the Potential Energy Surface of the Water Dimer with DFT:  Failures of Some Popular Functionals for Hydrogen Bonding journal June 2006
Phase diagram of supercooled water confined to hydrophilic nanopores journal July 2012
Calculating binding free energies of host–guest systems using the AMOEBA polarizable force field journal January 2016
Molecular dynamics simulation of the ice nucleation and growth process leading to water freezing journal March 2002
Ab initio molecular dynamics simulation of the solvation and transport of hydronium and hydroxyl ions in water journal July 1995
‘‘ Ab initio ’’ liquid water journal December 1993
The Radial Distribution Functions of Water as Derived from Radiation Total Scattering Experiments: Is There Anything We Can Say for Sure? journal January 2013
Relativistic separable dual-space Gaussian pseudopotentials from H to Rn journal August 1998
High-level ab initio calculations for the four low-lying families of minima of (H[sub 2]O)[sub 20]. I. Estimates of MP2/CBS binding energies and comparison with empirical potentials journal January 2004
A new local density functional for main-group thermochemistry, transition metal bonding, thermochemical kinetics, and noncovalent interactions journal November 2006
An efficient algorithm for multipole energies and derivatives based on spherical harmonics and extensions to particle mesh Ewald journal May 2014
Toward reliable density functional methods without adjustable parameters: The PBE0 model journal April 1999
CHEMISTRY: Water in Confinement journal November 2002
Perspective: Advances and challenges in treating van der Waals dispersion forces in density functional theory journal September 2012
Separable dual-space Gaussian pseudopotentials journal July 1996
Isobaric first-principles molecular dynamics of liquid water with nonlocal van der Waals interactions journal January 2015
Accurate and Efficient Method for Many-Body van der Waals Interactions journal June 2012
Electronic Properties of Molecules and Surfaces with a Self-Consistent Interatomic van der Waals Density Functional journal April 2015
The influence of temperature and density functional models in ab initio molecular dynamics simulation of liquid water journal January 2005
Effects of co-solvents on peptide hydration water structure and dynamics journal January 2010
First Principles Simulations of the Infrared Spectrum of Liquid Water Using Hybrid Density Functionals journal March 2011
Characterizing and Understanding the Remarkably Slow Basis Set Convergence of Several Minnesota Density Functionals for Intermolecular Interaction Energies journal September 2013
Ab initio molecular dynamics with nuclear quantum effects at classical cost: Ring polymer contraction for density functional theory journal February 2016
Structure and Dynamics of the Aqueous Liquid−Vapor Interface:  A Comprehensive Particle-Based Simulation Study journal March 2006
Liquid Water through Density-Functional Molecular Dynamics: Plane-Wave vs Atomic-Orbital Basis Sets journal July 2016
Ab initio molecular dynamics simulation of liquid water: Comparison of three gradient‐corrected density functionals journal July 1996
Density and Compressibility of Liquid Water and Ice from First-Principles Simulations with Hybrid Functionals journal July 2015
Infrared spectroscopy of small size‐selected water clusters journal January 1996
Isobaric-Isothermal Monte Carlo Simulations from First Principles: Application to Liquid Water at Ambient Conditions journal September 2005
Systematic Improvement of a Classical Molecular Model of Water journal August 2013
Autoionization in Liquid Water journal March 2001
Getting the Right Answers for the Right Reasons: Toward Predictive Molecular Simulations of Water with Many-Body Potential Energy Functions journal August 2016
Nuclear quantum effects and hydrogen bond fluctuations in water journal September 2013
Effect of Basis Set Superposition Error on the Water Dimer Surface Calculated at Hartree−Fock, Møller−Plesset, and Density Functional Theory Levels journal March 1999

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