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Grimme S, Brandenburg JG, Bannwarth C, Hansen A. Consistent structures and interactions by density functional theory with small atomic orbital basis sets. J Chem Phys 2015; 143:054107. [PMID: 26254642 DOI: 10.1063/1.4927476] [Citation(s) in RCA: 514] [Impact Index Per Article: 57.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023] Open
Abstract
A density functional theory (DFT) based composite electronic structure approach is proposed to efficiently compute structures and interaction energies in large chemical systems. It is based on the well-known and numerically robust Perdew-Burke-Ernzerhoff (PBE) generalized-gradient-approximation in a modified global hybrid functional with a relatively large amount of non-local Fock-exchange. The orbitals are expanded in Ahlrichs-type valence-double zeta atomic orbital (AO) Gaussian basis sets, which are available for many elements. In order to correct for the basis set superposition error (BSSE) and to account for the important long-range London dispersion effects, our well-established atom-pairwise potentials are used. In the design of the new method, particular attention has been paid to an accurate description of structural parameters in various covalent and non-covalent bonding situations as well as in periodic systems. Together with the recently proposed three-fold corrected (3c) Hartree-Fock method, the new composite scheme (termed PBEh-3c) represents the next member in a hierarchy of "low-cost" electronic structure approaches. They are mainly free of BSSE and account for most interactions in a physically sound and asymptotically correct manner. PBEh-3c yields good results for thermochemical properties in the huge GMTKN30 energy database. Furthermore, the method shows excellent performance for non-covalent interaction energies in small and large complexes. For evaluating its performance on equilibrium structures, a new compilation of standard test sets is suggested. These consist of small (light) molecules, partially flexible, medium-sized organic molecules, molecules comprising heavy main group elements, larger systems with long bonds, 3d-transition metal systems, non-covalently bound complexes (S22 and S66×8 sets), and peptide conformations. For these sets, overall deviations from accurate reference data are smaller than for various other tested DFT methods and reach that of triple-zeta AO basis set second-order perturbation theory (MP2/TZ) level at a tiny fraction of computational effort. Periodic calculations conducted for molecular crystals to test structures (including cell volumes) and sublimation enthalpies indicate very good accuracy competitive to computationally more involved plane-wave based calculations. PBEh-3c can be applied routinely to several hundreds of atoms on a single processor and it is suggested as a robust "high-speed" computational tool in theoretical chemistry and physics.
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Affiliation(s)
- Stefan Grimme
- Mulliken Center for Theoretical Chemistry, Institut für Physikalische und Theoretische Chemie, Rheinische Friedrich-Wilhelms Universität Bonn, Beringstraße 4, 53115 Bonn, Germany
| | - Jan Gerit Brandenburg
- Mulliken Center for Theoretical Chemistry, Institut für Physikalische und Theoretische Chemie, Rheinische Friedrich-Wilhelms Universität Bonn, Beringstraße 4, 53115 Bonn, Germany
| | - Christoph Bannwarth
- Mulliken Center for Theoretical Chemistry, Institut für Physikalische und Theoretische Chemie, Rheinische Friedrich-Wilhelms Universität Bonn, Beringstraße 4, 53115 Bonn, Germany
| | - Andreas Hansen
- Mulliken Center for Theoretical Chemistry, Institut für Physikalische und Theoretische Chemie, Rheinische Friedrich-Wilhelms Universität Bonn, Beringstraße 4, 53115 Bonn, Germany
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Hujo W, Grimme S. Performance of Non-Local and Atom-Pairwise Dispersion Corrections to DFT for Structural Parameters of Molecules with Noncovalent Interactions. J Chem Theory Comput 2012; 9:308-15. [DOI: 10.1021/ct300813c] [Citation(s) in RCA: 87] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023]
Affiliation(s)
- Waldemar Hujo
- Theoretische Organische Chemie,
Organisch-Chemisches Institut der Universität Münster,
Corrensstr. 40, D-48149 Münster, Germany
| | - Stefan Grimme
- Mulliken Center for Theoretical
Chemistry, Institut für Physikalische und Theoretische Chemie
der Universität Bonn, Beringstr. 4, D-53115 Bonn, Germany
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Fuller RO, Griffith CS, Koutsantonis GA, Lapere KM, Skelton BW, Spackman MA, White AH, Wild DA. Supramolecular interactions between hexabromoethane and cyclopentadienyl ruthenium bromides: Halogen bonding or electrostatic organisation? CrystEngComm 2012. [DOI: 10.1039/c1ce05438d] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Steinmann SN, Corminboeuf C. Comprehensive Benchmarking of a Density-Dependent Dispersion Correction. J Chem Theory Comput 2011; 7:3567-77. [DOI: 10.1021/ct200602x] [Citation(s) in RCA: 333] [Impact Index Per Article: 25.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Stephan N. Steinmann
- Laboratory for Computational Molecular Design, Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - Clemence Corminboeuf
- Laboratory for Computational Molecular Design, Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
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Hess NJ, Schenter GK, Hartman MR, Daemen LL, Proffen T, Kathmann SM, Mundy CJ, Hartl M, Heldebrant DJ, Stowe AC, Autrey T. Neutron Powder Diffraction and Molecular Simulation Study of the Structural Evolution of Ammonia Borane from 15 to 340 K. J Phys Chem A 2009; 113:5723-35. [DOI: 10.1021/jp900839c] [Citation(s) in RCA: 50] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Nancy J. Hess
- Pacific Northwest National Laboratory, Richland, Washington 99352, University of Michigan, Ann Arbor, Michigan 48109, and Los Alamos National Laboratory, Los Alamos, New Mexico 87545
| | - Gregory K. Schenter
- Pacific Northwest National Laboratory, Richland, Washington 99352, University of Michigan, Ann Arbor, Michigan 48109, and Los Alamos National Laboratory, Los Alamos, New Mexico 87545
| | - Michael R. Hartman
- Pacific Northwest National Laboratory, Richland, Washington 99352, University of Michigan, Ann Arbor, Michigan 48109, and Los Alamos National Laboratory, Los Alamos, New Mexico 87545
| | - Luc L. Daemen
- Pacific Northwest National Laboratory, Richland, Washington 99352, University of Michigan, Ann Arbor, Michigan 48109, and Los Alamos National Laboratory, Los Alamos, New Mexico 87545
| | - Thomas Proffen
- Pacific Northwest National Laboratory, Richland, Washington 99352, University of Michigan, Ann Arbor, Michigan 48109, and Los Alamos National Laboratory, Los Alamos, New Mexico 87545
| | - Shawn M. Kathmann
- Pacific Northwest National Laboratory, Richland, Washington 99352, University of Michigan, Ann Arbor, Michigan 48109, and Los Alamos National Laboratory, Los Alamos, New Mexico 87545
| | - Christopher J. Mundy
- Pacific Northwest National Laboratory, Richland, Washington 99352, University of Michigan, Ann Arbor, Michigan 48109, and Los Alamos National Laboratory, Los Alamos, New Mexico 87545
| | - Monika Hartl
- Pacific Northwest National Laboratory, Richland, Washington 99352, University of Michigan, Ann Arbor, Michigan 48109, and Los Alamos National Laboratory, Los Alamos, New Mexico 87545
| | - David J. Heldebrant
- Pacific Northwest National Laboratory, Richland, Washington 99352, University of Michigan, Ann Arbor, Michigan 48109, and Los Alamos National Laboratory, Los Alamos, New Mexico 87545
| | - Ashley C. Stowe
- Pacific Northwest National Laboratory, Richland, Washington 99352, University of Michigan, Ann Arbor, Michigan 48109, and Los Alamos National Laboratory, Los Alamos, New Mexico 87545
| | - Tom Autrey
- Pacific Northwest National Laboratory, Richland, Washington 99352, University of Michigan, Ann Arbor, Michigan 48109, and Los Alamos National Laboratory, Los Alamos, New Mexico 87545
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Hess NJ, Bowden ME, Parvanov VM, Mundy C, Kathmann SM, Schenter GK, Autrey T. Spectroscopic studies of the phase transition in ammonia borane: Raman spectroscopy of single crystal NH3BH3 as a function of temperature from 88to330K. J Chem Phys 2008; 128:034508. [DOI: 10.1063/1.2820768] [Citation(s) in RCA: 86] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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