A Critical Assessment of Two-Body and Three-Body Interactions in Water.

The microscopic behavior of water under different conditions and in different environments remains the subject of intense debate. A great number of the controversies arise due to the contradictory predictions obtained within different theoretical models. Relative to conclusions derived from force fields or density functional theory, there is comparably less room to dispute highly correlated electronic structure calculations. Unfortunately, such ab initio calculations are severely limited by system size. In this study, a detailed analysis of the two- and three-body water interactions evaluated at the CCSD(T) level is carried out to quantitatively assess the accuracy of several force fields, DFT models, and ab initio based interaction potentials that are commonly used in molecular simulations. On the basis of this analysis, a new model, HBB2-pol, is introduced which is capable of accurately mapping CCSD(T) results for water dimers and trimers into an efficient analytical function. The accuracy of HBB2-pol is further established through comparison with the experimentally determined second and third virial coefficients.

[1]  J. Skinner,et al.  The water hexamer: three-body interactions, structures, energetics, and OH-stretch spectroscopy at finite temperature. , 2012, The Journal of chemical physics.

[2]  Gregory S. Tschumper,et al.  Anchoring the potential energy surface of the cyclic water trimer. , 2004, The Journal of chemical physics.

[3]  K. Szalewicz,et al.  Spectra of water dimer from a new ab initio potential with flexible monomers. , 2012, The Journal of chemical physics.

[4]  W. L. Jorgensen,et al.  Comparison of simple potential functions for simulating liquid water , 1983 .

[5]  A. Schäfer,et al.  Fully optimized contracted Gaussian basis sets of triple zeta valence quality for atoms Li to Kr , 1994 .

[6]  D. Kofke,et al.  Higher-order virial coefficients of water models. , 2007, The journal of physical chemistry. B.

[7]  Krzysztof Szalewicz,et al.  Predictions of the Properties of Water from First Principles , 2007, Science.

[8]  P. Pieniazek,et al.  Surface of liquid water: three-body interactions and vibrational sum-frequency spectroscopy. , 2011, Journal of the American Chemical Society.

[9]  G. Schenter The development of effective classical potentials and the quantum statistical mechanical second virial coefficient of water , 2002 .

[10]  Mark E Tuckerman,et al.  Ab initio molecular dynamics study of water at constant pressure using converged basis sets and empirical dispersion corrections. , 2012, The Journal of chemical physics.

[11]  Burke,et al.  Generalized Gradient Approximation Made Simple. , 1996, Physical review letters.

[12]  Troy Van Voorhis,et al.  Nonlocal van der Waals density functional: the simpler the better. , 2010, The Journal of chemical physics.

[13]  Ross C. Walker,et al.  The implementation of a fast and accurate QM/MM potential method in Amber , 2008, J. Comput. Chem..

[14]  G. Groenenboom,et al.  Polarizable interaction potential for water from coupled cluster calculations. II. Applications to dimer spectra, virial coefficients, and simulations of liquid water. , 2008, The Journal of chemical physics.

[15]  Parr,et al.  Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density. , 1988, Physical review. B, Condensed matter.

[16]  Pengyu Y. Ren,et al.  Polarizable Atomic Multipole Water Model for Molecular Mechanics Simulation , 2003 .

[17]  S. Grimme,et al.  A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu. , 2010, The Journal of chemical physics.

[18]  Sotiris S. Xantheas,et al.  Cooperativity and Hydrogen Bonding Network in Water Clusters , 2000 .

[19]  Jules W. Moskowitz,et al.  Water Molecule Interactions , 1970 .

[20]  Sotiris S Xantheas,et al.  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. , 2008, The Journal of chemical physics.

[21]  A. Soper,et al.  Quantum Differences between Heavy and Light Water. , 2008, Physical review letters.

[22]  Wojciech Cencek,et al.  Interaction energies of large clusters from many-body expansion. , 2011, The Journal of chemical physics.

[23]  J. Bowman,et al.  The water hexamer: cage, prism, or both. Full dimensional quantum simulations say both. , 2012, Journal of the American Chemical Society.

[24]  F. Weigend,et al.  Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: Design and assessment of accuracy. , 2005, Physical chemistry chemical physics : PCCP.

[25]  J. Stewart Optimization of parameters for semiempirical methods I. Method , 1989 .

[26]  K. Szalewicz,et al.  Effects of monomer geometry and basis set saturation on computed depth of water dimer potential , 1996 .

[27]  G. Groenenboom,et al.  Polarizable interaction potential for water from coupled cluster calculations. I. Analysis of dimer potential energy surface. , 2008, The Journal of chemical physics.

[28]  A. Becke Density-functional thermochemistry. III. The role of exact exchange , 1993 .

[29]  M. Frisch,et al.  Ab Initio Calculation of Vibrational Absorption and Circular Dichroism Spectra Using Density Functional Force Fields , 1994 .

[30]  M. Bonn,et al.  Unified molecular view of the air/water interface based on experimental and theoretical χ(2) spectra of an isotopically diluted water surface. , 2011, Journal of the American Chemical Society.

[31]  Kyuho Lee,et al.  Higher-accuracy van der Waals density functional , 2010, 1003.5255.

[32]  Stefan Grimme,et al.  Semiempirical GGA‐type density functional constructed with a long‐range dispersion correction , 2006, J. Comput. Chem..

[33]  J. Skinner,et al.  Water simulation model with explicit three-molecule interactions. , 2008, The journal of physical chemistry. B.

[34]  Manuel F. Ruiz-López,et al.  Basic ideas for the correction of semiempirical methods describing H-bonded systems , 2000 .

[35]  Kenneth D Jordan,et al.  A second generation distributed point polarizable water model. , 2010, The Journal of chemical physics.

[36]  P. Mankoo,et al.  The vibrational proton potential in bulk liquid water and ice. , 2008, The Journal of chemical physics.

[37]  J. Klimeš,et al.  Perspective: Advances and challenges in treating van der Waals dispersion forces in density functional theory. , 2012, The Journal of chemical physics.

[38]  M. Head‐Gordon,et al.  A fifth-order perturbation comparison of electron correlation theories , 1989 .

[39]  Carlos Vega,et al.  Simulating water with rigid non-polarizable models: a general perspective. , 2011, Physical chemistry chemical physics : PCCP.

[40]  M. Balasubramanian,et al.  Probing the hydration structure of polarizable halides: a multiedge XAFS and molecular dynamics study of the iodide anion. , 2010, The journal of physical chemistry. B.

[41]  K. Szalewicz,et al.  Ab initio three-body interactions for water. I. Potential and structure of water trimer , 2003 .

[42]  Joel M. Bowman,et al.  Flexible, ab initio potential, and dipole moment surfaces for water. I. Tests and applications for clusters up to the 22-mer. , 2011, The Journal of chemical physics.

[43]  J. R. Carl,et al.  Atom dipole interaction model for molecular polarizability. Application to polyatomic molecules and determination of atom polarizabilities , 1972 .

[44]  B. Thole Molecular polarizabilities calculated with a modified dipole interaction , 1981 .

[45]  Joost VandeVondele,et al.  Gaussian basis sets for accurate calculations on molecular systems in gas and condensed phases. , 2007, The Journal of chemical physics.

[46]  Kenneth D Jordan,et al.  Theoretical characterization of the (H2O)21 cluster: application of an n-body decomposition procedure. , 2006, The journal of physical chemistry. B.

[47]  Emilio Artacho,et al.  Density, structure, and dynamics of water: the effect of van der Waals interactions. , 2010, The Journal of chemical physics.

[48]  Eric W. Lemmon,et al.  Correlation for the Second Virial Coefficient of Water , 2004 .

[49]  Kenneth D. Jordan,et al.  Binding energy of the ring form of (H2O)6: Comparison of the predictions of conventional and localized‐orbital MP2 calculations , 1996 .

[50]  Gregory S. Tschumper,et al.  CCSD(T) complete basis set limit relative energies for low-lying water hexamer structures. , 2009, The journal of physical chemistry. A.

[51]  Thomas E. Markland,et al.  Unraveling quantum mechanical effects in water using isotopic fractionation , 2012, Proceedings of the National Academy of Sciences.

[52]  M. Dion,et al.  van der Waals density functional for general geometries. , 2004, Physical review letters.

[53]  A. Becke,et al.  Density-functional exchange-energy approximation with correct asymptotic behavior. , 1988, Physical review. A, General physics.

[54]  Thomas E. Markland,et al.  Competing quantum effects in the dynamics of a flexible water model. , 2009, The Journal of chemical physics.

[55]  H. Eugene Stanley,et al.  Dynamics and thermodynamics of water , 2008 .

[56]  B. C. Garrett,et al.  Self-consistent polarization neglect of diatomic differential overlap: application to water clusters. , 2008, The Journal of chemical physics.

[57]  Harry Partridge,et al.  The determination of an accurate isotope dependent potential energy surface for water from extensive ab initio calculations and experimental data , 1997 .

[58]  F. Neese,et al.  A comparative study of single reference correlation methods of the coupled-pair type , 2008 .

[59]  Hannah R. Leverentz,et al.  Assessment of the accuracy of density functionals for prediction of relative energies and geometries of low-lying isomers of water hexamers. , 2008, The journal of physical chemistry. A.

[60]  Kersti Hermansson,et al.  AB-INITIO STUDY OF COOPERATIVITY IN WATER CHAINS - BINDING-ENERGIES AND ANHARMONIC FREQUENCIES , 1994 .

[61]  P. Pieniazek,et al.  Robust three-body water simulation model. , 2011, The Journal of chemical physics.

[62]  Peter A. Kollman,et al.  Implementation of nonadditive intermolecular potentials by use of molecular dynamics: development of a water-water potential and water-ion cluster interactions , 1990 .

[63]  K. Jordan,et al.  Comparison of models with distributed polarizable sites for describing water clusters , 2007 .

[64]  A. Stone,et al.  Contribution of Many-Body Terms to the Energy for Small Water Clusters: A Comparison of ab Initio Calculations and Accurate Model Potentials , 1997 .

[65]  D. Kofke,et al.  Mayer-sampling Monte Carlo calculations of uniquely flexible contributions to virial coefficients. , 2011, The Journal of chemical physics.

[66]  G. Galli,et al.  Dispersion interactions and vibrational effects in ice as a function of pressure: a first principles study. , 2012, Physical review letters.

[67]  Stefan Grimme,et al.  Accurate description of van der Waals complexes by density functional theory including empirical corrections , 2004, J. Comput. Chem..

[68]  Teresa Head-Gordon,et al.  The structure of ambient water , 2010 .

[69]  Sotiris S. Xantheas,et al.  Development of transferable interaction models for water. IV. A flexible, all-atom polarizable potential (TTM2-F) based on geometry dependent charges derived from an ab initio monomer dipole moment surface , 2002 .

[70]  Teodoro Laino,et al.  Semiempirical self-consistent polarization description of bulk water, the liquid-vapor interface, and cubic ice. , 2011, The journal of physical chemistry. A.

[71]  Peter Schwerdtfeger,et al.  Convergence of the many-body expansion of interaction potentials: From van der Waals to covalent and metallic systems , 2007 .

[72]  Pedro E. M. Lopes,et al.  Molecular modeling and dynamics studies with explicit inclusion of electronic polarizability: theory and applications , 2009, Theoretical chemistry accounts.

[73]  Gregory A Voth,et al.  The properties of water: insights from quantum simulations. , 2009, The journal of physical chemistry. B.

[74]  G. Garberoglio Quantum effects on virial coefficients: A numerical approach using centroids , 2012 .

[75]  T. H. Dunning Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen , 1989 .

[76]  G. Kell,et al.  PVT properties of water - VII. Vapour densities of light and heavy water from 150 to 500°C , 1989, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[77]  P. Wernet,et al.  The Structure of the First Coordination Shell in Liquid Water , 2004, Science.

[78]  Joel M. Bowman,et al.  Accurate ab initio and "hybrid" potential energy surfaces, intramolecular vibrational energies, and classical ir spectrum of the water dimer. , 2009, The Journal of chemical physics.

[79]  Volodymyr Babin,et al.  Toward a Universal Water Model: First Principles Simulations from the Dimer to the Liquid Phase. , 2012, The journal of physical chemistry letters.

[80]  Wei Zhang,et al.  An accurate and simple quantum model for liquid water. , 2006, The Journal of chemical physics.

[81]  S. F. Boys,et al.  The calculation of small molecular interactions by the differences of separate total energies. Some procedures with reduced errors , 1970 .

[82]  Sotiris S. Xantheas,et al.  Ab initio studies of cyclic water clusters (H2O)n, n=1–6. II. Analysis of many‐body interactions , 1994 .

[83]  Mark S. Gordon,et al.  Energy Decomposition Analyses for Many-Body Interaction and Applications to Water Complexes , 1996 .