Towards extending the applicability of density functional theory to weakly bound systems

While the attempts currently in progress in several groups for the rigorous inclusion of dispersion interactions in density functional theory (DFT) calculations mature and evolve into practical methodology, we contribute to the debate on the applicability of current functionals to the calculation of weak interaction with a systematic investigation of a few, typical, weakly bound systems. We have used both pure DFT and a hybrid approach in which the total interaction energy is partitioned into two parts: (a) the dispersion energy which, in a first approximation is the contribution due to intermonomer correlations and (b) all other interactions. The first component is accurately obtained at all distances of interest by means of a well-known damped multipolar expansion of the dispersion energy while for the second component different approximations will be evaluated. The need to avoid double counting a fraction of the correlation energy when using the hybrid approach and the choice of the appropriate functio...

[1]  John W. Hepburn,et al.  A simple but reliable method for the prediction of intermolecular potentials , 1975 .

[2]  F. Paesani,et al.  COMPUTED AND MEASURED TRANSPORT COEFFICIENTS FOR CO-HE MIXTURES : TESTING A DENSITY FUNCTIONAL APPROACH , 1998 .

[3]  T. Wesołowski,et al.  Density functional theory with an approximate kinetic energy functional applied to study structure and stability of weak van der Waals complexes , 1998 .

[4]  G. Groenenboom,et al.  Water pair potential of near spectroscopic accuracy. I. Analysis of potential surface and virial coefficients , 2000 .

[5]  Pavel Hobza,et al.  Potential Energy Surface for the Benzene Dimer. Results of ab Initio CCSD(T) Calculations Show Two Nearly Isoenergetic Structures: T-Shaped and Parallel-Displaced , 1996 .

[6]  K. Tang,et al.  Erratum: A simple theoretical model for the van der Waals potential at intermediate distances. I. Spherically symmetric potentials , 1977 .

[7]  Sotiris S. Xantheas,et al.  AB INITIO STUDIES OF CYCLIC WATER CLUSTERS (H2O)N, N=1-6. III: COMPARISON OF DENSITY FUNCTIONAL WITH MP2 RESULTS , 1995 .

[8]  Trygve Helgaker,et al.  Basis set convergence of the interaction energy of hydrogen-bonded complexes , 1999 .

[9]  Michele Parrinello,et al.  Structural, electronic, and bonding properties of liquid water from first principles , 1999 .

[10]  G. Scoles,et al.  Intermolecular forces via hybrid Hartree–Fock–SCF plus damped dispersion (HFD) energy calculations. An improved spherical model , 1982 .

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

[12]  L. Sunderlin,et al.  Metal (iron and nickel) carbonyl bond strengths in Fe(CO)n- and Ni(CO)n- , 1992 .

[13]  Tomasz A. Wesol owski Comment on “Anisotropic intermolecular interactions in van der Waals and hydrogen-bonded complexes: What can we get from density-functional calculations?” [J. Chem. Phys. 111, 7727 (1999)] , 2000 .

[14]  J. Šponer,et al.  Density functional theory and molecular clusters , 1995, Journal of Computational Chemistry.

[15]  Felix Franks,et al.  Water:A Comprehensive Treatise , 1972 .

[16]  G. Ozin,et al.  Binary copper carbonyls. Synthesis and characterization of tricarbonylcopper, dicarbonylcopper, monocarbonylcopper, and hexacarbonyldicopper , 1975 .

[17]  G. Scoles,et al.  On the importance of exchange effects in three-body interactions: The lowest quartet state of Na3 , 2000 .

[18]  Michiel Sprik,et al.  A density‐functional study of the intermolecular interactions of benzene , 1996 .

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

[20]  Robert Moszynski,et al.  Perturbation Theory Approach to Intermolecular Potential Energy Surfaces of van der Waals Complexes , 1994 .

[21]  A. Becke Density-functional thermochemistry. II: The effect of the Perdew-Wang generalized-gradient correlation correction , 1992 .

[22]  Peter Pulay,et al.  CAN (SEMI) LOCAL DENSITY FUNCTIONAL THEORY ACCOUNT FOR THE LONDON DISPERSION FORCES , 1994 .

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

[24]  S. H. Vosko,et al.  Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis , 1980 .

[25]  Thomas Frauenheim,et al.  Hydrogen bonding and stacking interactions of nucleic acid base pairs: A density-functional-theory based treatment , 2001 .

[26]  V. Barone,et al.  Toward reliable density functional methods without adjustable parameters: The PBE0 model , 1999 .

[27]  Giacinto Scoles,et al.  Intermolecular forces in simple systems , 1977 .

[28]  D. Lacks,et al.  Pair interactions of rare-gas atoms as a test of exchange-energy-density functionals in regions of large density gradients. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[29]  Yingkai Zhang,et al.  Describing van der Waals interaction in diatomic molecules with generalized gradient approximations: The role of the exchange functional , 1997 .

[30]  G. Herzberg,et al.  Molecular Spectra and Molecular Structure , 1992 .

[31]  F. Aiga,et al.  Frequency-dependent polarizabilities, hyperpolarizabilities, and excitation energies from time-dependent density-functional theory based on the quasienergy derivative method , 1999 .

[32]  S. Scheiner Molecular Interactions. From van der Waals to Strongly Bound Complexes , 1997 .

[33]  F. A. Gianturco,et al.  Intermolecular forces from density functional theory. III. A multiproperty analysis for the Ar(1S)-CO(1Σ) interaction , 1999 .

[34]  Michiel Sprik,et al.  New generalized gradient approximation functionals , 2000 .

[35]  Car,et al.  Unified approach for molecular dynamics and density-functional theory. , 1985, Physical review letters.

[36]  R. Wheatley,et al.  Dispersion energy damping functions, and their relative scale with interatomic separation, for (H, He, Li)-(H, He, Li) interactions , 1993 .

[37]  Evert Jan Baerends,et al.  Accurate density functional calculations on frequency-dependent hyperpolarizabilities of small molecules , 1998 .

[38]  Hans Peter Lüthi,et al.  Interaction energies of van der Waals and hydrogen bonded systems calculated using density functional theory: Assessing the PW91 model , 2001 .

[39]  N. Rösch,et al.  Density- and density-matrix-based coupled Kohn–Sham methods for dynamic polarizabilities and excitation energies of molecules , 1999 .

[40]  H. Rydberg,et al.  Dispersion Coefficients for van der Waals Complexes, Including C60–C60 , 1999 .

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

[42]  R. Parr Density-functional theory of atoms and molecules , 1989 .

[43]  Sandro Scandolo,et al.  Dynamical and thermal properties of polyethylene by ab initio simulation , 2000 .

[44]  W. J. Meath,et al.  Charge‐Overlap Effects. Dispersion and Induction Forces , 1969 .

[45]  W. Kohn,et al.  Self-Consistent Equations Including Exchange and Correlation Effects , 1965 .

[46]  António J. C. Varandas,et al.  Double many-body expansion potential energy surface for ground-state HCN based on realistic long range forces and accurate ab initio calculations , 1997 .

[47]  P. Hohenberg,et al.  Inhomogeneous Electron Gas , 1964 .

[48]  D. Langreth,et al.  Van Der Waals Interactions In Density Functional Theory , 2007 .

[49]  P. Villalta,et al.  A study of FeCO- and the 3Σ- and 5Σ- states of FeCO by negative ion photoelectron spectroscopy , 1993 .

[50]  Keiichi Tanaka,et al.  Time-resolved infrared diode laser spectroscopy of the ν1 band of the iron carbonyl radical (FeCO) produced by the ultraviolet photolysis of Fe(CO)5 , 1997 .

[51]  L. Andrews,et al.  Infrared spectra and density functional calculations of Cu(CO)1–4+, Cu(CO)1–3, and Cu(CO)1–3− in solid neon , 1999 .

[52]  J. B. Anderson,et al.  Monte Carlo methods in electronic structures for large systems. , 2000, Annual review of physical chemistry.

[53]  Wang,et al.  Accurate and simple analytic representation of the electron-gas correlation energy. , 1992, Physical review. B, Condensed matter.

[54]  Dmitrii E. Makarov,et al.  van der Waals Energies in Density Functional Theory , 1998 .

[55]  R. A. Aziz,et al.  A highly accurate interatomic potential for argon , 1993 .

[56]  Á. Pérez‐Jiménez,et al.  Density-functional study of van der Waals forces on rare-gas diatomics: Hartree–Fock exchange , 1999 .

[57]  Robert G. Parr,et al.  Density Functional Theory of Electronic Structure , 1996 .

[58]  José M. Pérez-Jordá,et al.  A density-functional study of van der Waals forces: rare gas diatomics. , 1995 .

[59]  G. Jeung High-spin chemical bonding of metal monocarbonothioyl and -carbonyl [MCS and MCO] (M = Sc, Ti, V, Cr, Cu) , 1992 .

[60]  Vincenzo Barone,et al.  Exchange functionals with improved long-range behavior and adiabatic connection methods without adjustable parameters: The mPW and mPW1PW models , 1998 .

[61]  G. Scoles,et al.  Intermolecular forces via hybrid Hartree-Fock plus damped dispersion (HFD) energy calculations. Systems with small nonsphericity: argon-molecular hydrogen, neon-molecular hydrogen, and helium-molecular hydrogen , 1982 .

[62]  W. M. Haynes CRC Handbook of Chemistry and Physics , 1990 .

[63]  Victor F. Lotrich,et al.  Symmetry-adapted perturbation theory of three-body nonadditivity of intermolecular interaction energy , 1997 .

[64]  C. Bauschlicher An ab initio study of CuCO , 1994 .

[65]  R. O. Jones,et al.  The density functional formalism, its applications and prospects , 1989 .