Nonlocal van der Waals density functional: the simpler the better.

We devise a nonlocal correlation energy functional that describes the entire range of dispersion interactions in a seamless fashion using only the electron density as input. The new functional is considerably simpler than its predecessors of a similar type. The functional has a tractable and robust analytic form that lends itself to efficient self-consistent implementation. When paired with an appropriate exchange functional, our nonlocal correlation model yields accurate interaction energies of weakly-bound complexes, not only near the energy minima but also far from equilibrium. Our model exhibits an outstanding precision at predicting equilibrium intermonomer separations in van der Waals complexes. It also gives accurate covalent bond lengths and atomization energies. Hence the functional proposed in this work is a computationally inexpensive electronic structure tool of broad applicability.

[1]  A Koide,et al.  A new expansion for dispersion forces and its application , 1976 .

[2]  G. Scuseria,et al.  Tests of functionals for systems with fractional electron number. , 2007, The Journal of chemical physics.

[3]  Edward G Hohenstein,et al.  Basis set consistent revision of the S22 test set of noncovalent interaction energies. , 2010, The Journal of chemical physics.

[4]  Konrad Patkowski,et al.  Improved interaction energy benchmarks for dimers of biological relevance. , 2010, Physical chemistry chemical physics : PCCP.

[5]  T. Van Voorhis,et al.  Self-consistent implementation of a nonlocal van der Waals density functional with a Gaussian basis set. , 2008, The Journal of chemical physics.

[6]  Donald G. Truhlar,et al.  Small Representative Benchmarks for Thermochemical Calculations , 2003 .

[7]  F. Nogueira,et al.  A primer in density functional theory , 2003 .

[8]  Shawn T. Brown,et al.  Advances in methods and algorithms in a modern quantum chemistry program package. , 2006, Physical chemistry chemical physics : PCCP.

[9]  T. Van Voorhis,et al.  Improving the accuracy of the nonlocal van der Waals density functional with minimal empiricism. , 2009, The Journal of chemical physics.

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

[11]  Andreas Savin,et al.  Range-separated density-functional theory with random phase approximation applied to noncovalent intermolecular interactions. , 2014, The Journal of chemical physics.

[12]  Konrad Patkowski,et al.  Dispersionless density functional theory. , 2009, Physical review letters.

[13]  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.

[14]  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.

[15]  A. Becke,et al.  Van der Waals Interactions in Density-Functional Theory: Rare-Gas Diatomics. , 2009, Journal of chemical theory and computation.

[16]  Frank Jensen,et al.  Polarization consistent basis sets. II. Estimating the Kohn-Sham basis set limit , 2002 .

[17]  Troy Van Voorhis,et al.  Dispersion interactions from a local polarizability model , 2010, 1004.4850.

[18]  Kieron Burke,et al.  Relevance of the slowly varying electron gas to atoms, molecules, and solids. , 2006, Physical review letters.

[19]  Davidson,et al.  Ground-state correlation energies for two- to ten-electron atomic ions. , 1991, Physical review. A, Atomic, molecular, and optical physics.

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

[21]  Low temperature electronic transport and electron transfer through organic macromolecules , 2002, physics/0207123.

[22]  G. Scuseria,et al.  Progress in the development of exchange-correlation functionals , 2005 .

[23]  Jirí Cerný,et al.  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. , 2006, Physical chemistry chemical physics : PCCP.

[24]  Kyuho Lee,et al.  Investigation of Exchange Energy Density Functional Accuracy for Interacting Molecules. , 2009, Journal of chemical theory and computation.

[25]  G. Scuseria,et al.  Assessment of a long-range corrected hybrid functional. , 2006, The Journal of chemical physics.

[26]  Takao Tsuneda,et al.  Long-range corrected density functional study on weakly bound systems: balanced descriptions of various types of molecular interactions. , 2007, The Journal of chemical physics.

[27]  Kwang S. Kim,et al.  Theory and applications of computational chemistry : the first forty years , 2005 .

[28]  J. Perdew,et al.  Accurate and simple density functional for the electronic exchange energy: Generalized gradient approximation. , 1986, Physical review. B, Condensed matter.

[29]  T. Van Voorhis,et al.  Implementation and assessment of a simple nonlocal van der Waals density functional. , 2010, The Journal of chemical physics.

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

[31]  Troy Van Voorhis,et al.  Nonlocal van der Waals density functional made simple. , 2009, Physical review letters.

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

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

[34]  P. Wormer,et al.  Theory and Applications of Computational Chemistry The First Forty Years , 2005 .

[35]  Axel D. Becke,et al.  van der Waals Interactions in Density-Functional Theory: Intermolecular Complexes , 2010 .

[36]  Huy V. Nguyen,et al.  A first-principles study of weakly bound molecules using exact exchange and the random phase approximation. , 2010, The Journal of chemical physics.

[37]  Davidson,et al.  Ground-state correlation energies for atomic ions with 3 to 18 electrons. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[38]  T. Helgaker,et al.  Polarization consistent basis sets. V. The elements Si-Cl. , 2004, The Journal of chemical physics.

[39]  Edward G Hohenstein,et al.  An assessment of theoretical methods for nonbonded interactions: comparison to complete basis set limit coupled-cluster potential energy curves for the benzene dimer, the methane dimer, benzene-methane, and benzene-H2S. , 2009, The journal of physical chemistry. A.

[40]  D. Bowler,et al.  Chemical accuracy for the van der Waals density functional , 2009, Journal of physics. Condensed matter : an Institute of Physics journal.

[41]  Pavel Hobza,et al.  Stabilization and structure calculations for noncovalent interactions in extended molecular systems based on wave function and density functional theories. , 2010, Chemical reviews.

[42]  Thomas M Henderson,et al.  Long-Range-Corrected Hybrids Based on a New Model Exchange Hole. , 2009, Journal of chemical theory and computation.

[43]  Benny G. Johnson,et al.  The performance of a family of density functional methods , 1993 .

[44]  Valentino R. Cooper,et al.  Van der Waals density functional: an appropriate exchange functional , 2009, 0910.1250.

[45]  A. Becke A multicenter numerical integration scheme for polyatomic molecules , 1988 .

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