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Analyzing the errors of DFT approximations for compressed water systems

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4885440· OSTI ID:1565181
 [1];  [2];  [2];  [3]
  1. Univ. College London (UCL), London (United Kingdom). Dept. of Earth Sciences; Univ. College London (UCL), London (United Kingdom). London Centre for Nanotechnology; Univ. College London (UCL), London (United Kingdom). Thomas Young Center; Univ. College London (UCL), London (United Kingdom). Dept. of Physics and Astronomy
  2. Univ. of Cambridge, Cambridge (United Kingdom). Dept. of Engineering
  3. Univ. College London (UCL), London (United Kingdom). London Centre for Nanotechnology; Univ. College London (UCL), London (United Kingdom). Thomas Young Center; Univ. College London (UCL), London (United Kingdom). Dept. of Physics and Astronomy
In this work, we report an extensive study of the errors of density functional theory (DFT) approximations for compressed water systems. The approximations studied are based on the widely used PBE and BLYP exchange-correlation functionals, and we characterize their errors before and after correction for 1- and 2-body errors, the corrections being performed using the methods of Gaussian approximation potentials. The errors of the uncorrected and corrected approximations are investigated for two related types of water system: first, the compressed liquid at temperature 420 K and density 1.245 g/cm3 where the experimental pressure is 15 kilobars; second, thermal samples of compressed water clusters from the trimer to the 27-mer. For the liquid, we report four first-principles molecular dynamics simulations, two generated with the uncorrected PBE and BLYP approximations and a further two with their 1- and 2-body corrected counterparts. The errors of the simulations are characterized by comparing with experimental data for the pressure, with neutron-diffraction data for the three radial distribution functions, and with quantum Monte Carlo (QMC) benchmarks for the energies of sets of configurations of the liquid in periodic boundary conditions. The DFT errors of the configuration samples of compressed water clusters are computed using QMC benchmarks. We find that the 2-body and beyond-2-body errors in the liquid are closely related to similar errors exhibited by the clusters. For both the liquid and the clusters, beyond-2-body errors of DFT make a substantial contribution to the overall errors, so that correction for 1- and 2-body errors does not suffice to give a satisfactory description. For BLYP, a recent representation of 3-body energies due to Medders, Babin, and Paesani [J. Chem. Theory Comput. 9, 1103 (2013)] gives a reasonably good way of correcting for beyond-2-body errors, after which the remaining errors are typically 0.5 mEh ≃ 15 meV/monomer for the liquid and the clusters.
Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1565181
Alternate ID(s):
OSTI ID: 22308740
Journal Information:
Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 1 Vol. 141; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (105)

Molecular Electronic-Structure Theory book August 2000
Semiempirical GGA-type density functional constructed with a long-range dispersion correction journal January 2006
Molpro: a general-purpose quantum chemistry program package: Molpro
  • Werner, Hans-Joachim; Knowles, Peter J.; Knizia, Gerald
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 2, Issue 2 https://doi.org/10.1002/wcms.82
journal July 2011
Molecular dynamics study of high-density liquid water using a modified central-force potential journal April 1984
Quantum Monte Carlo and Related Approaches journal December 2011
Structural and Vibrational Properties of Liquid Water from van der Waals Density Functionals journal August 2011
First-Principles Modeling of Non-Covalent Interactions in Supramolecular Systems: The Role of Many-Body Effects journal October 2012
A Critical Assessment of Two-Body and Three-Body Interactions in Water journal December 2012
Static and Dynamical Properties of Liquid Water from First Principles by a Novel Car−Parrinello-like Approach journal January 2009
Van der Waals Interactions in Density-Functional Theory: Rare-Gas Diatomics journal March 2009
The missing term in effective pair potentials journal November 1987
Characterizing the Potential Energy Surface of the Water Dimer with DFT:  Failures of Some Popular Functionals for Hydrogen Bonding journal June 2006
Assessment of the Accuracy of Density Functionals for Prediction of Relative Energies and Geometries of Low-Lying Isomers of Water Hexamers journal May 2008
Ab Initio van der Waals Interactions in Simulations of Water Alter Structure from Mainly Tetrahedral to High-Density-Like journal December 2011
Benchmark Study of the Interaction Energy for an (H 2 O) 16 Cluster: Quantum Monte Carlo and Complete Basis Set Limit MP2 Results journal June 2013
Dielectric Properties of Water Ice, the Ice Ih/XI Phase Transition, and an Assessment of Density Functional Theory journal January 2014
Theoretical Study of the Binding Energy of a Methane Molecule in a (H 2 O) 20 Dodecahedral Cage journal May 2014
Importance of van der Waals Interactions in Liquid Water journal January 2009
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
Toward a Universal Water Model: First Principles Simulations from the Dimer to the Liquid Phase journal December 2012
Bulk Liquid Water at Ambient Temperature and Pressure from MP2 Theory journal October 2013
Hard Numbers for Large Molecules: Toward Exact Energetics for Supramolecular Systems journal February 2014
Lattice match in density functional calculations: ice Ih vs. β-AgI journal January 2008
Liquid structures of water, methanol, and hydrogen fluoride at ambient conditions from first principles molecular dynamics simulations with a dispersion corrected density functional journal January 2011
Assessment of density functional theory to calculate the phase transition pressure of ice journal January 2012
Water at supercritical conditions: A first principles study journal August 2001
Towards an assessment of the accuracy of density functional theory for first principles simulations of water journal January 2004
A first principles simulation of rigid water journal March 2004
Molecular dynamics study of liquid water under high compression journal December 1974
Interaction of the van der Waals Type Between Three Atoms journal June 1943
Infrared Spectra of Ices II, III, and V in the Range 4000 to 350 cm —1 journal March 1964
Towards an assessment of the accuracy of density functional theory for first principles simulations of water. II journal September 2004
Smooth relativistic Hartree–Fock pseudopotentials for H to Ba and Lu to Hg journal May 2005
Static and dynamical properties of heavy water at ambient conditions from first-principles molecular dynamics journal May 2005
Dynamical properties of liquid water from ab initio molecular dynamics performed in the complete basis set limit journal April 2007
Dissociation energy of the water dimer from quantum Monte Carlo calculations journal September 2007
Development of transferable interaction potentials for water. V. Extension of the flexible, polarizable, Thole-type model potential ( TTM3-F , v. 3.0) to describe the vibrational spectra of water clusters and liquid water journal February 2008
Ab initio molecular dynamics using hybrid density functionals journal June 2008
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
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
Competing quantum effects in the dynamics of a flexible water model journal July 2009
Density functional for van der Waals forces accounts for hydrogen bond in benchmark set of water hexamers journal July 2009
Coupled cluster benchmarks of water monomers and dimers extracted from density-functional theory liquid water: The importance of monomer deformations journal September 2009
Assessment of the performance of common density functional methods for describing the interaction energies of (H2O)6 clusters journal April 2010
Communications: High-temperature water under pressure journal March 2010
A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu journal April 2010
Two- and three-body interatomic dispersion energy contributions to binding in molecules and solids journal June 2010
A van der Waals density functional study of ice Ih journal December 2010
Density, structure, and dynamics of water: The effect of van der Waals interactions journal January 2011
Changes of structure and dipole moment of water with temperature and pressure: A first principles study journal July 2011
Van der Waals effects in ab initio water at ambient and supercritical conditions journal October 2011
Molecular dynamics simulations at constant pressure and/or temperature journal February 1980
Molecular dynamics studies of the structure of water at high temperatures and density journal January 1981
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen journal January 1989
Electron affinities of the first‐row atoms revisited. Systematic basis sets and wave functions journal May 1992
Structure and hydrogen bond dynamics of water–dimethyl sulfoxide mixtures by computer simulations journal May 1993
‘‘ Ab initio ’’ liquid water journal December 1993
X‐ray scattering in liquid water at pressures of up to 7.7 kbar: Test of a fluctuation model journal January 1994
Ab initio studies of cyclic water clusters (H 2 O) n , n =1–6. II. Analysis of many‐body interactions journal May 1994
A neutron scattering study of liquid D 2 O under pressure and at various temperatures journal March 1995
Binding energy of the ring form of (H 2 O) 6 : Comparison of the predictions of conventional and localized‐orbital MP2 calculations journal December 1996
Assessing the accuracy of quantum Monte Carlo and density functional theory for energetics of small water clusters journal June 2012
Ab initio molecular dynamics study of water at constant pressure using converged basis sets and empirical dispersion corrections journal July 2012
The determination of an accurate isotope dependent potential energy surface for water from extensive ab initio calculations and experimental data journal March 1997
Development and assessment of new exchange-correlation functionals journal October 1998
Communication: Energy benchmarking with quantum Monte Carlo for water nano-droplets and bulk liquid water journal June 2013
Energy benchmarks for water clusters and ice structures from an embedded many-body expansion journal September 2013
On the accuracy of van der Waals inclusive density-functional theory exchange-correlation functionals for ice at ambient and high pressures journal October 2013
Room temperature compressibility and diffusivity of liquid water from first principles journal November 2013
First-principles energetics of water clusters and ice: A many-body analysis journal December 2013
Melting of ice under pressure journal September 2008
The structure of ambient water journal June 2010
Neutron diffraction of heavy water to 15·6 kbar journal October 1982
A neutron diffraction study of hydration effects in aqueous solutions journal June 1977
Joint structure refinement of x-ray and neutron diffraction data on disordered materials: application to liquid water journal July 2007
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials journal September 2009
Continuum variational and diffusion quantum Monte Carlo calculations journal December 2009
The Theory of Intermolecular Forces book January 2013
Pair interactions of rare-gas atoms as a test of exchange-energy-density functionals in regions of large density gradients journal June 1993
Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density journal January 1988
Ab initio studies on the structural and dynamical properties of ice journal March 1993
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
H 2 O hydrogen bonding in density-functional theory journal April 1997
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Efficient localized basis set for quantum Monte Carlo calculations on condensed matter journal October 2004
Partial structure factors from disordered materials diffraction data: An approach using empirical potential structure refinement journal September 2005
Popular Kohn-Sham density functionals strongly overestimate many-body interactions in van der Waals systems journal July 2008
Phase diagrams and isotopic effects of normal and deuterated water studied via x-ray diffraction up to 4.5 GPa and 500 K journal November 2009
Structure of liquid water under high pressure up to 17 GPa journal January 2010
Ice phases under ambient and high pressure: Insights from density functional theory journal June 2013
Machine-learning approach for one- and two-body corrections to density functional theory: Applications to molecular and condensed water journal August 2013
Nuclear Quantum Effects in Water journal July 2008
Gaussian Approximation Potentials: The Accuracy of Quantum Mechanics, without the Electrons journal April 2010
Hydrogen Bonds and van der Waals Forces in Ice at Ambient and High Pressures journal October 2011
New High-Pressure Phase of Ice journal April 1996
Generalized Gradient Approximation Made Simple journal October 1996
Water under Pressure journal March 2000
Structures of High-Density and Low-Density Water journal March 2000
Dissociation of Water under Pressure journal December 2001
Dynamic Ionization of Water under Extreme Conditions journal April 2005
Bonding in the Superionic Phase of Water journal May 2005
Structure of Dense Liquid Water by Neutron Scattering to 6.5 GPa and 670 K journal February 2006
Phase Diagram and Electrical Conductivity of High Energy-Density Water from Density Functional Theory journal July 2006
Quantum Monte Carlo simulations of solids journal January 2001
Superionic and Metallic States of Water and Ammonia at Giant Planet Conditions journal January 1999

Cited By (4)

On the representation of many-body interactions in water journal September 2015
Toward ab initio molecular dynamics modeling for sum-frequency generation spectra; an efficient algorithm based on surface-specific velocity-velocity correlation function journal September 2015
Perspective: How good is DFT for water? journal April 2016
SAFT-γ force field for the simulation of molecular fluids: 4. A single-site coarse-grained model of water applicable over a wide temperature range journal March 2015

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