Full-dimensional, ab initio potential energy and dipole moment surfaces for water.

We report full-dimensional, ab initio potential energy (PES) and dipole moment surfaces (DMS) for water. The PES is a sum of one-, two- and three-body terms. The three-body potential is a fit, reported here, to roughly 30,000 intrinsic three-body energies obtained with second-order Møller-Plesset perturbation theory (MP2) and using the aug-cc-pVTZ basis set (avtz). The one- and two-body potentials are from an ab initio water dimer potential [Shank et al., J. Chem. Phys. 130, 144314 (2009)]. The predictive accuracy of the PES is demonstrated for the water trimer, tetramer, and hexamer by comparing the energies and harmonic frequencies obtained from the PES and new high level ab initio calculations at the respective global minima. The DMS is constructed from one- and two-body dipole moments, based on fits to MP2/avtz dipole moments. It is shown to be very accurate for the hexamer by comparison with direct calculations of the hexamer dipole. To illustrate the anharmonic character of the PES one-mode calculations of the 18 monomer fundamentals of the hexamer are reported in normal coordinates.

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

[2]  Martin Schütz,et al.  A new, fast, semi-direct implementation of linear scaling local coupled cluster theory , 2002 .

[3]  Frederick R. Manby,et al.  Linear scaling local coupled cluster theory with density fitting. Part I: 4-external integrals , 2003 .

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

[5]  Nauta,et al.  Formation of cyclic water hexamer in liquid helium: the smallest piece of Ice , 2000, Science.

[6]  Frederick R. Manby,et al.  Fast Hartree–Fock theory using local density fitting approximations , 2004 .

[7]  S. Carter,et al.  MULTIMODE: A code to calculate rovibrational energies of polyatomic molecules , 2003 .

[8]  Hans-Joachim Werner,et al.  Low-order scaling local electron correlation methods. IV. Linear scaling local coupled-cluster (LCCSD) , 2001 .

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

[10]  R. Bartlett,et al.  A full coupled‐cluster singles and doubles model: The inclusion of disconnected triples , 1982 .

[11]  T. Dunning,et al.  Electron affinities of the first‐row atoms revisited. Systematic basis sets and wave functions , 1992 .

[12]  Hans-Joachim Werner,et al.  Local perturbative triples correction (T) with linear cost scaling , 2000 .

[13]  D. Wales,et al.  Theoretical study of rearrangements in water dimer and trimer , 2002 .

[14]  Shridhar R. Gadre,et al.  Structure and Stability of Water Clusters (H2O)n, n ) 8-20: An Ab Initio Investigation , 2001 .

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

[16]  Robert J. Harrison,et al.  Development of transferable interaction models for water. II. Accurate energetics of the first few water clusters from first principles , 2002 .

[17]  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.

[18]  H. Werner,et al.  Chapter 4 On the Selection of Domains and Orbital Pairs in Local Correlation Treatments , 2006 .

[19]  Jürgen Gauss,et al.  Coupled‐cluster methods with noniterative triple excitations for restricted open‐shell Hartree–Fock and other general single determinant reference functions. Energies and analytical gradients , 1993 .

[20]  K. Jordan,et al.  Theoretical study of the n-body interaction energies of the ring, cage and prism forms of (H2O)6 , 1998 .

[21]  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.

[22]  B. Braams,et al.  Ab initio potential energy and dipole moment surfaces of (H2O)2. , 2006, The journal of physical chemistry. A.

[23]  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.

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

[25]  A. Tkatchenko,et al.  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. , 2008, The Journal of chemical physics.

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

[27]  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.

[28]  Harm Derksen,et al.  Computational Invariant Theory , 2002 .

[29]  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 .

[30]  Guntram Rauhut,et al.  Impact of local and density fitting approximations on harmonic vibrational frequencies. , 2006, The journal of physical chemistry. A.

[31]  Frederick R. Manby,et al.  Fast linear scaling second-order Møller-Plesset perturbation theory (MP2) using local and density fitting approximations , 2003 .

[32]  Guntram Rauhut,et al.  Local Treatment of Electron Correlation in Molecular Clusters: Structures and Stabilities of (H2O)n, n = 2−4 , 1998 .

[33]  B. Braams,et al.  New ab initio potential energy surface and the vibration-rotation-tunneling levels of (H2O)2 and (D2O)2. , 2008, The Journal of chemical physics.

[34]  G. Rauhut,et al.  Impact of local approximations on MP2 vibrational frequencies , 1999 .

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

[36]  John J. Cannon,et al.  The Magma Algebra System I: The User Language , 1997, J. Symb. Comput..

[37]  D. Clary,et al.  Characterization of a cage form of the water hexamer , 1996, Nature.

[38]  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.

[39]  J. Skinner,et al.  IR and Raman spectra of liquid water: theory and interpretation. , 2008, The Journal of chemical physics.

[40]  Joel M Bowman,et al.  Ab initio potential energy and dipole moment surfaces for H5O2 +. , 2005, The Journal of chemical physics.