Crossref journal-article
AIP Publishing
The Journal of Chemical Physics (317)
Abstract

A combinatorially optimized, range-separated hybrid, meta-GGA density functional with VV10 nonlocal correlation is presented. The final 12-parameter functional form is selected from approximately 10 × 109 candidate fits that are trained on a training set of 870 data points and tested on a primary test set of 2964 data points. The resulting density functional, ωB97M-V, is further tested for transferability on a secondary test set of 1152 data points. For comparison, ωB97M-V is benchmarked against 11 leading density functionals including M06-2X, ωB97X-D, M08-HX, M11, ωM05-D, ωB97X-V, and MN15. Encouragingly, the overall performance of ωB97M-V on nearly 5000 data points clearly surpasses that of all of the tested density functionals. In order to facilitate the use of ωB97M-V, its basis set dependence and integration grid sensitivity are thoroughly assessed, and recommendations that take into account both efficiency and accuracy are provided.

Bibliography

Mardirossian, N., & Head-Gordon, M. (2016). ωB97M-V: A combinatorially optimized, range-separated hybrid, meta-GGA density functional with VV10 nonlocal correlation. The Journal of Chemical Physics, 144(21).

Authors 2
  1. Narbe Mardirossian (first)
  2. Martin Head-Gordon (additional)
References 132 Referenced 899
  1. 10.1103/PhysRev.140.A1133 / Phys. Rev. / Self-consistent equations including exchange and correlation effects (1965)
  2. 10.1063/1.475007 / J. Chem. Phys. / Density-functional thermochemistry. V. Systematic optimization of exchange-correlation functionals (1997)
  3. 10.1063/1.1904565 / J. Chem. Phys. / Prescription for the design and selection of density functional approximations: More constraint satisfaction with fewer fits (2005)
  4. 10.1063/1.464913 / J. Chem. Phys. / Density-functional thermochemistry. III. The role of exact exchange (1993)
  5. 10.1080/00268979609484488 / Mol. Phys. / Coulomb-attenuated exchange energy density functionals (1996)
  6. 10.1002/jcc.20495 / J. Comput. Chem. / Semiempirical GGA-type density functional constructed with a long-range dispersion correction (2006)
  7. 10.1063/1.3382344 / J. Chem. Phys. / A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu (2010)
  8. 10.1002/jcc.21759 / J. Comput. Chem. / Effect of the damping function in dispersion corrected density functional theory (2011)
  9. 10.1063/1.3521275 / J. Chem. Phys. / Nonlocal van der Waals density functional: The simpler the better (2010)
  10. 10.1103/PhysRevB.82.081101 / Phys. Rev. B / Higher-accuracy van der Waals density functional (2010)
  11. 10.1063/1.477267 / J. Chem. Phys. / Development and assessment of new exchange-correlation functionals (1998)
  12. 10.1063/1.480732 / J. Chem. Phys. / New generalized gradient approximation functionals (2000)
  13. 10.1063/1.1347371 / J. Chem. Phys. / A new parametrization of exchange–correlation generalized gradient approximation functionals (2001)
  14. 10.1021/jz200616w / J. Phys. Chem. Lett. / Generalized gradient approximation that recovers the second-order density-gradient expansion with optimized across-the-board performance (2011)
  15. 10.1063/1.1412605 / J. Chem. Phys. / Hybrid exchange-correlation functional determined from thermochemical data and ab initio potentials (2001)
  16. 10.1063/1.1774975 / J. Chem. Phys. / Development of density functionals for thermochemical kinetics (2004)
  17. 10.1063/1.2061227 / J. Chem. Phys. / Semiempirical hybrid functional with improved performance in an extensive chemical assessment (2005)
  18. 10.1063/1.3663871 / J. Chem. Phys. / Communication: A global hybrid generalized gradient approximation to the exchange-correlation functional that satisfies the second-order density-gradient constraint and has broad applicability in chemistry (2011)
  19. 10.1063/1.2834918 / J. Chem. Phys. / Systematic optimization of long-range corrected hybrid density functionals (2008)
  20. 10.1039/b810189b / Phys. Chem. Chem. Phys. / Long-range corrected hybrid density functionals with damped atom-atom dispersion corrections (2008)
  21. 10.1021/ct300715s / J. Chem. Theory Comput. / Long-range corrected hybrid density functionals with improved dispersion corrections (2013)
  22. 10.1039/c3cp54374a / Phys. Chem. Chem. Phys. / ωB97X-V: A 10-parameter, range-separated hybrid, generalized gradient approximation density functional with nonlocal correlation, designed by a survival-of-the-fittest strategy (2014)
  23. 10.1021/ct3002656 / J. Chem. Theory Comput. / Exchange-correlation functional with good accuracy for both structural and energetic properties while depending only on the density and its gradient (2012)
  24. 10.1039/C5CP01425E / Phys. Chem. Chem. Phys. / Nonseparable exchange-correlation functional for molecules, including homogeneous catalysis involving transition metals (2015)
  25. 10.1039/c2cp42576a / Phys. Chem. Chem. Phys. / Screened-exchange density functionals with broad accuracy for chemistry and solid-state physics (2012)
  26. 10.1063/1.1476309 / J. Chem. Phys. / New exchange-correlation density functionals: The role of the kinetic-energy density (2002)
  27. 10.1063/1.2370993 / J. Chem. Phys. / A new local density functional for main-group thermochemistry, transition metal bonding, thermochemical kinetics, and noncovalent interactions (2006)
  28. 10.1021/jz201525m / J. Phys. Chem. Lett. / M11-L: A local density functional that provides improved accuracy for electronic structure calculations in chemistry and physics (2012)
  29. 10.1063/1.4907719 / J. Chem. Phys. / Mapping the genome of meta-generalized gradient approximation density functionals: The search for B97M-V (2015)
  30. 10.1063/1.2126975 / J. Chem. Phys. / Exchange-correlation functional with broad accuracy for metallic and nonmetallic compounds, kinetics, and noncovalent interactions (2005)
  31. 10.1021/ct0502763 / J. Chem. Theory Comput. / Design of density functionals by combining the method of constraint satisfaction with parametrization for thermochemistry, thermochemical kinetics, and noncovalent interactions (2006)
  32. 10.1007/s00214-007-0310-x / Theor. Chem. Acc. / The M06 suite of density functionals for main group thermochemistry, thermochemical kinetics, noncovalent interactions, excited states, and transition elements: Two new functionals and systematic testing of four M06-class functionals and 12 other functionals (2008)
  33. 10.1021/jp066479k / J. Phys. Chem. A / Density functional for spectroscopy: No long-range self-interaction error, good performance for Rydberg and charge-transfer states, and better performance on average than B3LYP for ground states (2006)
  34. 10.1021/ct800246v / J. Chem. Theory Comput. / Exploring the limit of accuracy of the global hybrid meta density functional for main-group thermochemistry, kinetics, and noncovalent interactions (2008)
  35. 10.1021/jz201170d / J. Phys. Chem. Lett. / Improving the accuracy of hybrid meta-GGA density functionals by range separation (2011)
  36. 10.1063/1.4704370 / J. Chem. Phys. / Long-range corrected hybrid meta-generalized-gradient approximations with dispersion corrections (2012)
  37. 10.1039/c2cp42025b / Phys. Chem. Chem. Phys. / An improved and broadly accurate local approximation to the exchange-correlation density functional: The MN12-L functional for electronic structure calculations in chemistry and physics (2012)
  38. 10.1021/acs.jctc.5b01082 / J. Chem. Theory Comput. / MN15-L: A new local exchange-correlation functional for Kohn–Sham density functional theory with broad accuracy for atoms, molecules, and solids (2016)
  39. 10.1039/c6sc00705h / Chem. Sci. / MN15: A Kohn-Sham global-hybrid exchange-correlation density functional with broad accuracy for multi-reference and single-reference systems and noncovalent interactions
  40. 10.1063/1.4868117 / J. Chem. Phys. / Exploring the limit of accuracy for density functionals based on the generalized gradient approximation: Local, global hybrid, and range-separated hybrid functionals with and without dispersion corrections (2014)
  41. 10.1063/1.456153 / J. Chem. Phys. / Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen (1989)
  42. 10.1063/1.462569 / J. Chem. Phys. / Electron affinities of the first-row atoms revisited. Systematic basis sets and wave functions (1992)
  43. 10.1063/1.464303 / J. Chem. Phys. / Gaussian basis sets for use in correlated molecular calculations. III. The atoms aluminum through argon (1993)
  44. 10.1063/1.1413524 / J. Chem. Phys. / Polarization consistent basis sets: Principles (2001)
  45. 10.1063/1.1465405 / J. Chem. Phys. / Polarization consistent basis sets. II. Estimating the Kohn–Sham basis set limit (2002)
  46. 10.1063/1.1515484 / J. Chem. Phys. / Polarization consistent basis sets. III. The importance of diffuse functions (2002)
  47. 10.1063/1.463096 / J. Chem. Phys. / Fully optimized contracted Gaussian basis sets for atoms Li to Kr (1992)
  48. 10.1063/1.467146 / J. Chem. Phys. / Fully optimized contracted Gaussian basis sets of triple zeta valence quality for atoms Li to Kr (1994)
  49. 10.1063/1.1627293 / J. Chem. Phys. / Gaussian basis sets of quadruple zeta valence quality for atoms H–Kr (2003)
  50. 10.1039/b508541a / Phys. Chem. Chem. Phys. / Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: Design and assessment of accuracy (2005)
  51. 10.1063/1.3484283 / J. Chem. Phys. / Property-optimized Gaussian basis sets for molecular response calculations (2010)
  52. 10.1016/0009-2614(93)80125-9 / Chem. Phys. Lett. / A standard grid for density functional calculations (1993)
  53. 10.1002/jcc.20383 / J. Comput. Chem. / SG-0: A small standard grid for DFT quadrature on large systems (2006)
  54. 10.1080/00268976.2014.952696 / Mol. Phys. / Advances in molecular quantum chemistry contained in the Q-Chem 4 program package (2015)
  55. 10.1021/ct400057w / J. Chem. Theory Comput. / Describing noncovalent interactions beyond the common approximations: How accurate is the gold standard CCSD(T) at the complete basis set limit? (2013)
  56. 10.1021/jp209536e / J. Phys. Chem. A / Benchmark interaction energies for biologically relevant noncovalent complexes containing divalent sulfur (2012)
  57. 10.1021/ct200751e / J. Chem. Theory Comput. / Advanced corrections of hydrogen bonding and dispersion for semiempirical quantum mechanical methods (2012)
  58. 10.1021/ct100563b / J. Chem. Theory Comput. / Formal estimation of errors in computed absolute interaction energies of protein–ligand complexes (2011)
  59. 10.1063/1.3659142 / J. Chem. Phys. / Basis set convergence of the coupled-cluster correction, δMP2CCSD(T): Best practices for benchmarking non-covalent interactions and the attendant revision of the S22, NBC10, HBC6, and HSG databases (2011)
  60. 10.1021/jp809062x / J. Phys. Chem. A / Effects of heteroatoms on aromatic π–π interactions: Benzene–pyridine and pyridine dimer (2009)
  61. 10.1021/jp9034375 / J. Phys. Chem. A / 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)
  62. 10.1039/b709669k / Phys. Chem. Chem. Phys. / Performance of spin-component-scaled Møller-Plesset theory (SCS-MP2) for potential energy curves of noncovalent interactions (2007)
  63. 10.1039/B600027D / Phys. Chem. Chem. Phys. / 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)
  64. 10.1021/ct300647k / J. Chem. Theory Comput. / Benchmark calculations of noncovalent interactions of halogenated molecules (2012)
  65. 10.1021/ct501050s / J. Chem. Theory Comput. / Beyond energies: Geometries of nonbonded molecular complexes as metrics for assessing electronic structure approaches (2015)
  66. 10.1021/jp809106b / J. Phys. Chem. A / A systematic CCSD(T) study of long-range and noncovalent interactions between benzene and a series of first- and second-row hydrides and rare gas atoms (2009)
  67. 10.1021/ct300132e / J. Chem. Theory Comput. / Hydrocarbon/water interactions: Encouraging energetics and structures from DFT but disconcerting discrepancies for Hessian indices (2012)
  68. 10.1021/ct500347q / J. Chem. Theory Comput. / Basis set convergence of the post-CCSD(T) contribution to noncovalent interaction energies (2014)
  69. 10.1021/ct2002946 / J. Chem. Theory Comput. / S66: A well-balanced database of benchmark interaction energies relevant to biomolecular structures (2011)
  70. 10.1021/ct200523a / J. Chem. Theory Comput. / Extensions of the S66 data set: More accurate interaction energies and angular-displaced nonequilibrium geometries (2011)
  71. 10.1021/acs.jctc.5b00281 / J. Chem. Theory Comput. / Benchmark calculations of three-body intermolecular interactions and the performance of low-cost electronic structure methods (2015)
  72. 10.1021/ct300215p / J. Chem. Theory Comput. / Accuracy of several wave function and density functional theory methods for description of noncovalent interaction of saturated and unsaturated hydrocarbon dimers (2012)
  73. 10.1039/C5CP02365C / Phys. Chem. Chem. Phys. / An accurate benchmark description of the interactions between carbon dioxide and polyheterocyclic aromatic compounds containing nitrogen (2015)
  74. 10.1021/ct400558w / J. Chem. Theory Comput. / Assessment of coupled cluster theory and more approximate methods for hydrogen bonded systems (2013)
  75. 10.1080/00268976.2014.1001806 / Mol. Phys. / Basis set limit coupled-cluster studies of hydrogen-bonded systems (2015)
  76. 10.1002/cphc.201402786 / ChemPhysChem / Density functional theory and hydrogen bonds: Are we there yet? (2015)
  77. 10.1021/ct5010593 / J. Chem. Theory Comput. / Accurate description of intermolecular interactions involving ions using symmetry-adapted perturbation theory (2015)
  78. 10.1063/1.4813523 / J. Chem. Phys. / An improved treatment of empirical dispersion and a many-body energy decomposition scheme for the explicit polarization plus symmetry-adapted perturbation theory (XSAPT) method (2013)
  79. 10.1021/jp5098603 / J. Phys. Chem. A / Accurate and efficient quantum chemistry calculations for noncovalent interactions in many-body systems: The XSAPT family of methods (2015)
  80. 10.1021/jp2069489 / J. Phys. Chem. A / Benchmark structures and binding energies of small water clusters with anharmonicity corrections (2011)
  81. 10.1021/ct4000235 / J. Chem. Theory Comput. / The performance of density functionals for sulfate–water clusters (2013)
  82. 10.1021/ct800549f / J. Chem. Theory Comput. / Evaluation of B3LYP, X3LYP, and M06-Class density functionals for predicting the binding energies of neutral, protonated, and deprotonated water clusters (2009)
  83. 10.1021/ct900489g / J. Chem. Theory Comput. / A general database for main group thermochemistry, kinetics, and noncovalent interactions—Assessment of common and reparameterized (meta-)GGA density functionals (2010)
  84. 10.1021/ct3004723 / J. Chem. Theory Comput. / Determination of barrier heights for proton exchange in small water, ammonia, and hydrogen fluoride clusters with G4(MP2)-type, MPn, and SCS-MPn procedures—A caveat (2012)
  85. 10.1021/ct500506t / J. Chem. Theory Comput. / Performance of density functional theory procedures for the calculation of proton-exchange barriers: Unusual behavior of M06-type functionals (2014)
  86. 10.1063/1.1767519 / J. Chem. Phys. / High-level ab initio calculations for the four low-lying families of minima of (H2O)20. I. Estimates of MP2/CBS binding energies and comparison with empirical potentials (2004)
  87. 10.1002/jcc.23539 / J. Comput. Chem. / New accurate benchmark energies for large water clusters: DFT is better than expected (2014)
  88. 10.1021/ct300846m / J. Chem. Theory Comput. / Binding in radical-solvent binary complexes: Benchmark energies and performance of approximate methods (2013)
  89. 10.1021/ct301064t / J. Chem. Theory Comput. / Halogen bonds: Benchmarks and theoretical analysis (2013)
  90. 10.1021/ct400818v / J. Chem. Theory Comput. / On the reliability of pure and hybrid DFT methods for the evaluation of halogen, chalcogen, and pnicogen bonds involving anionic and neutral electron donors (2013)
  91. 10.1021/ct500899h / J. Chem. Theory Comput. / Halogen bonding from dispersion-corrected density-functional theory: The role of delocalization error (2014)
  92. 10.1021/ct200930x / J. Chem. Theory Comput. / Why are the interaction energies of charge-transfer complexes challenging for DFT? (2012)
  93. 10.1021/jp904369h / J. Phys. Chem. A / Benchmark thermochemistry of the CnH2n+2 alkane isomers (n = 2–8) and performance of DFT and composite ab initio methods for dispersion-driven isomeric equilibria (2009)
  94. 10.1021/jp410723v / J. Phys. Chem. A / Conformational equilibria in butane-1,4-diol: A benchmark of a prototypical system with strong intramolecular H-bonds (2014)
  95. 10.1021/jp903640h / J. Phys. Chem. A / Performance of ab initio and density functional methods for conformational equilibria of CnH2n+2 alkane isomers (n = 4–8) (2009)
  96. 10.1021/ct900005c / J. Chem. Theory Comput. / Conformers of gaseous cysteine (2009)
  97. 10.1021/jp401429u / J. Phys. Chem. A / What can we learn about dispersion from the conformer surface of n-Pentane? (2013)
  98. 10.1021/jz101245s / J. Phys. Chem. Lett. / High-level ab initio electronic structure calculations of water clusters (H2O)16 and (H2O)17: A new global minimum for (H2O)16 (2010)
  99. 10.1021/jp312644t / J. Phys. Chem. A / The melatonin conformer space: Benchmark and assessment of wave function and DFT methods for a paradigmatic biological and pharmacological molecule (2013)
  100. 10.1021/acs.jctc.5b01066 / J. Chem. Theory Comput. / Benchmark ab initio conformational energies for the proteinogenic amino acids through explicitly correlated methods. Assessment of density functional methods (2016)
  101. 10.1080/00268976.2014.986238 / Mol. Phys. / An assessment of theoretical procedures for π-conjugation stabilisation energies in enones (2015)
  102. 10.1080/00268976.2012.698316 / Mol. Phys. / Explicitly correlated benchmark calculations on C8H8 isomer energy separations: How accurate are DFT, double-hybrid, and composite ab initio procedures? (2012)
  103. 10.1016/j.chemphys.2014.07.015 / Chem. Phys. / Assessment of theoretical procedures for a diverse set of isomerization reactions involving double-bond migration in conjugated dienes (2014)
  104. 10.1016/j.cplett.2011.05.007 / Chem. Phys. Lett. / W4-11: A high-confidence benchmark dataset for computational thermochemistry derived from first-principles W4 data (2011)
  105. 10.1021/acs.jpca.5b10266 / J. Phys. Chem. A / What are the ground state structures of C20 and C24? An explicitly correlated ab initio approach (2016)
  106. 10.1063/1.460205 / J. Chem. Phys. / Gaussian-2 theory for molecular energies of first- and second-row compounds (1991)
  107. 10.1021/jp045141s / J. Phys. Chem. A / Benchmark database of barrier heights for heavy atom transfer, nucleophilic substitution, association, and unimolecular reactions and its use to test theoretical methods (2005)
  108. 10.1039/b416937a / Phys. Chem. Chem. Phys. / Multi-coefficient extrapolated density functional theory for thermochemistry and thermochemical kinetics (2005)
  109. 10.1021/jp021590l / J. Phys. Chem. A / Effectiveness of diffuse basis functions for calculating relative energies by density functional theory (2003)
  110. 10.1002/anie.200905484 / Angew. Chem., Int. Ed. / The mechanism of dihydrogen activation by frustrated Lewis pairs revisited (2010)
  111. 10.1021/ct100466k / J. Chem. Theory Comput. / Efficient and accurate double-hybrid-meta-GGA density functionals–evaluation with the extended GMTKN30 database for general main group thermochemistry, kinetics, and noncovalent interactions (2011)
  112. 10.1080/00268976.2010.519729 / Mol. Phys. / Thermochemical benchmarking of hydrocarbon bond separation reaction energies: Jacob’s ladder is not reversed! (2010)
  113. 10.1002/qua.25024 / Int. J. Quantum Chem. / Dataset of highly accurate homolytic N–Br bond dissociation energies obtained by means of W2 theory (2016)
  114. 10.1021/jp301499y / J. Phys. Chem. A / Assessment of theoretical procedures for calculating barrier heights for a diverse set of water-catalyzed proton-transfer reactions (2012)
  115. 10.1002/jcc.23963 / J. Comput. Chem. / Heats of formation of platonic hydrocarbon cages by means of high-level thermochemical procedures (2016)
  116. 10.1002/jcc.23837 / J. Comput. Chem. / Accurate reaction barrier heights of pericyclic reactions: Surprisingly large deviations for the CBS-QB3 composite method and their consequences in DFT benchmark studies (2015)
  117. 10.1016/j.chemphys.2015.07.005 / Chem. Phys. / Reaction barrier heights for cycloreversion of heterocyclic rings: An Achilles’ heel for DFT and standard ab initio procedures (2015)
  118. 10.1021/ct600281g / J. Chem. Theory Comput. / Representative benchmark suites for barrier heights of diverse reaction types and assessment of electronic structure methods for thermochemical kinetics (2007)
  119. 10.1021/jp801805p / J. Phys. Chem. A / Highly accurate first-principles benchmark data sets for the parametrization and validation of density functional and other approximate methods. Derivation of a robust, generally applicable, double-hybrid functional for thermochemistry and thermochemical kinetics (2008)
  120. 10.1080/00268976.2015.1081418 / Mol. Phys. / Can DFT and ab initio methods describe all aspects of the potential energy surface of cycloreversion reactions? (2016)
  121. 10.1103/PhysRevA.47.3649 / Phys. Rev. A / Ground-state correlation energies for atomic ions with 3 to 18 electrons (1993)
  122. 10.1063/1.1543944 / J. Chem. Phys. / The van der Waals potentials between all the rare gas atoms from He to Rn (2003)
  123. 10.1063/1.450025 / J. Chem. Phys. / Density functional calculations of molecular bond energies (1986)
  124. 10.1103/PhysRevLett.45.566 / Phys. Rev. Lett. / Ground state of the electron gas by a stochastic method (1980)
  125. 10.1103/PhysRevB.45.13244 / Phys. Rev. B / Accurate and simple analytic representation of the electron-gas correlation energy (1992)
  126. 10.1139/p80-159 / Can. J. Phys. / Accurate spin-dependent electron liquid correlation energies for local spin density calculations: A critical analysis (1980)
  127. 10.1007/bf00551408 / Theor. Chem. Acc. / Correlation energies in the spin-density functional formalism (1980)
  128. See supplementary material at http://dx.doi.org/10.1063/1.4952647 for more information on datasets, mean signed errors and maximum absolute errors for the datasets, and Fortran routines for theωB97M-V local exchange, same-spin correlation, and opposite-correlation functionals.
  129. 10.1002/qua.24605 / Int. J. Quantum Chem. / Uncertainty quantification in thermochemistry, benchmarking electronic structure computations, and active thermochemical tables (2014)
  130. 10.1063/1.2800011 / J. Chem. Phys. / Avoiding singularity problems associated with meta-GGA (generalized gradient approximation) exchange and correlation functionals containing the kinetic energy density (2007)
  131. 10.1063/1.3177061 / J. Chem. Phys. / Oscillations in meta-generalized-gradient approximation potential energy surfaces for dispersion-bound complexes (2009)
  132. 10.1021/ct900639j / J. Chem. Theory Comput. / Integration grid errors for meta-gga-predicted reaction energies: Origin of grid errors for the M06 suite of functionals (2010)
Dates
Type When
Created 9 years, 2 months ago (June 7, 2016, 1 p.m.)
Deposited 2 years, 1 month ago (July 1, 2023, 12:36 p.m.)
Indexed 10 minutes ago (Aug. 30, 2025, 12:24 p.m.)
Issued 9 years, 2 months ago (June 7, 2016)
Published 9 years, 2 months ago (June 7, 2016)
Published Online 9 years, 2 months ago (June 7, 2016)
Published Print 9 years, 2 months ago (June 7, 2016)
Funders 1
  1. U.S. Department of Energy 10.13039/100000015

    Region: Americas

    gov (National government)

    Labels8
    1. Energy Department
    2. Department of Energy
    3. United States Department of Energy
    4. ENERGY.GOV
    5. US Department of Energy
    6. USDOE
    7. DOE
    8. USADOE
    Awards1
    1. DE-AC0376SF00098

@article{Mardirossian_2016, title={ωB97M-V: A combinatorially optimized, range-separated hybrid, meta-GGA density functional with VV10 nonlocal correlation}, volume={144}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.4952647}, DOI={10.1063/1.4952647}, number={21}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Mardirossian, Narbe and Head-Gordon, Martin}, year={2016}, month=jun }