101
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Eriksen JJ. Efficient and portable acceleration of quantum chemical many-body methods in mixed floating point precision using OpenACC compiler directives. Mol Phys 2016. [DOI: 10.1080/00268976.2016.1271155] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Janus J. Eriksen
- Institut für Physikalische Chemie, Johannes Gutenberg-Universität Mainz, D-55128 Mainz, Germany
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102
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Bykov D, Kjaergaard T. The GPU-enabled divide-expand-consolidate RI-MP2 method (DEC-RI-MP2). J Comput Chem 2016; 38:228-237. [DOI: 10.1002/jcc.24678] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/03/2016] [Revised: 10/27/2016] [Accepted: 11/01/2016] [Indexed: 01/16/2023]
Affiliation(s)
- Dmytro Bykov
- Department of Chemistry; qLeap Center for Theoretical Chemistry, University of Aarhus; DK-8000 Århus C Denmark
| | - Thomas Kjaergaard
- Department of Chemistry; qLeap Center for Theoretical Chemistry, University of Aarhus; DK-8000 Århus C Denmark
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103
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Wilhelm J, Seewald P, Del Ben M, Hutter J. Large-Scale Cubic-Scaling Random Phase Approximation Correlation Energy Calculations Using a Gaussian Basis. J Chem Theory Comput 2016; 12:5851-5859. [DOI: 10.1021/acs.jctc.6b00840] [Citation(s) in RCA: 45] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Jan Wilhelm
- Department
of Chemistry and National Centre for Computational Design and Discovery
of Novel Materials (MARVEL), University of Zurich, 8057 Zurich, Switzerland
| | - Patrick Seewald
- Department
of Chemistry and National Centre for Computational Design and Discovery
of Novel Materials (MARVEL), University of Zurich, 8057 Zurich, Switzerland
| | - Mauro Del Ben
- Computational
Research Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
| | - Jürg Hutter
- Department
of Chemistry and National Centre for Computational Design and Discovery
of Novel Materials (MARVEL), University of Zurich, 8057 Zurich, Switzerland
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104
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Menezes F, Kats D, Werner HJ. Local complete active space second-order perturbation theory using pair natural orbitals (PNO-CASPT2). J Chem Phys 2016; 145:124115. [DOI: 10.1063/1.4963019] [Citation(s) in RCA: 68] [Impact Index Per Article: 8.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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105
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Nagy PR, Samu G, Kállay M. An Integral-Direct Linear-Scaling Second-Order Møller-Plesset Approach. J Chem Theory Comput 2016; 12:4897-4914. [PMID: 27618512 DOI: 10.1021/acs.jctc.6b00732] [Citation(s) in RCA: 68] [Impact Index Per Article: 8.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
An integral-direct, iteration-free, linear-scaling, local second-order Møller-Plesset (MP2) approach is presented, which is also useful for spin-scaled MP2 calculations as well as for the efficient evaluation of the perturbative terms of double-hybrid density functionals. The method is based on a fragmentation approximation: the correlation contributions of the individual electron pairs are evaluated in domains constructed for the corresponding localized orbitals, and the correlation energies of distant electron pairs are computed with multipole expansions. The required electron repulsion integrals are calculated directly invoking the density fitting approximation; the storage of integrals and intermediates is avoided. The approach also utilizes natural auxiliary functions to reduce the size of the auxiliary basis of the domains and thereby the operation count and memory requirement. Our test calculations show that the approach recovers 99.9% of the canonical MP2 correlation energy and reproduces reaction energies with an average (maximum) error below 1 kJ/mol (4 kJ/mol). Our benchmark calculations demonstrate that the new method enables MP2 calculations for molecules with more than 2300 atoms and 26000 basis functions on a single processor.
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Affiliation(s)
- Péter R Nagy
- MTA-BME Lendület Quantum Chemistry Research Group, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics , P.O. Box 91, Budapest H-1521, Hungary
| | - Gyula Samu
- MTA-BME Lendület Quantum Chemistry Research Group, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics , P.O. Box 91, Budapest H-1521, Hungary
| | - Mihály Kállay
- MTA-BME Lendület Quantum Chemistry Research Group, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics , P.O. Box 91, Budapest H-1521, Hungary
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106
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Doran AE, Hirata S. Monte Carlo MP2 on Many Graphical Processing Units. J Chem Theory Comput 2016; 12:4821-4832. [DOI: 10.1021/acs.jctc.6b00588] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Alexander E. Doran
- Department of Chemistry, University of Illinois at Urbana−Champaign, 600 South Mathews Avenue, Urbana, Illinois 61801, United States
| | - So Hirata
- Department of Chemistry, University of Illinois at Urbana−Champaign, 600 South Mathews Avenue, Urbana, Illinois 61801, United States
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107
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Meitei OR, Heßelmann A. Molecular energies from an incremental fragmentation method. J Chem Phys 2016; 144:084109. [PMID: 26931683 DOI: 10.1063/1.4942189] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
The systematic molecular fragmentation method by Collins and Deev [J. Chem. Phys. 125, 104104 (2006)] has been used to calculate total energies and relative conformational energies for a number of small and extended molecular systems. In contrast to the original approach by Collins, we have tested the accuracy of the fragmentation method by utilising an incremental scheme in which the energies at the lowest level of the fragmentation are calculated on an accurate quantum chemistry level while lower-cost methods are used to correct the low-level energies through a high-level fragmentation. In this work, the fragment energies at the lowest level of fragmentation were calculated using the random-phase approximation (RPA) and two recently developed extensions to the RPA while the incremental corrections at higher levels of the fragmentation were calculated using standard density functional theory (DFT) methods. The complete incremental fragmentation method has been shown to reproduce the supermolecule results with a very good accuracy, almost independent on the molecular type, size, or type of decomposition. The fragmentation method has also been used in conjunction with the DFT-SAPT (symmetry-adapted perturbation theory) method which enables a breakdown of the total nonbonding energy contributions into individual interaction energy terms. Finally, the potential problems of the method connected with the use of capping hydrogen atoms are analysed and two possible solutions are supplied.
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Affiliation(s)
- Oinam Romesh Meitei
- Lehrstuhl für Theoretische Chemie, Universität Erlangen-Nürnberg, Egerlandstr. 3, D-91058 Erlangen, Germany
| | - Andreas Heßelmann
- Lehrstuhl für Theoretische Chemie, Universität Erlangen-Nürnberg, Egerlandstr. 3, D-91058 Erlangen, Germany
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108
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Bykov D, Kristensen K, Kjærgaard T. The molecular gradient using the divide-expand-consolidate resolution of the identity second-order Møller-Plesset perturbation theory: The DEC-RI-MP2 gradient. J Chem Phys 2016; 145:024106. [DOI: 10.1063/1.4956454] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Dmytro Bykov
- Department of Chemistry, qLeap Center for Theoretical Chemistry, University of Aarhus, DK-8000 Århus C, Denmark
| | - Kasper Kristensen
- Department of Chemistry, qLeap Center for Theoretical Chemistry, University of Aarhus, DK-8000 Århus C, Denmark
| | - Thomas Kjærgaard
- Department of Chemistry, qLeap Center for Theoretical Chemistry, University of Aarhus, DK-8000 Århus C, Denmark
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109
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Kats D. Speeding up local correlation methods: System-inherent domains. J Chem Phys 2016; 145:014103. [DOI: 10.1063/1.4954963] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Daniel Kats
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany
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110
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Helmich-Paris B, Repisky M, Visscher L. Laplace-transformed atomic orbital-based Møller–Plesset perturbation theory for relativistic two-component Hamiltonians. J Chem Phys 2016; 145:014107. [DOI: 10.1063/1.4955106] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Benjamin Helmich-Paris
- Section of Theoretical Chemistry, VU University Amsterdam, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
| | - Michal Repisky
- CTCC, Department of Chemistry, UIT The Arctic University of Norway, N-9037 Tromø, Norway
| | - Lucas Visscher
- Section of Theoretical Chemistry, VU University Amsterdam, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
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111
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Baudin P, Ettenhuber P, Reine S, Kristensen K, Kjærgaard T. Efficient linear-scaling second-order Møller-Plesset perturbation theory: The divide-expand-consolidate RI-MP2 model. J Chem Phys 2016; 144:054102. [PMID: 26851903 DOI: 10.1063/1.4940732] [Citation(s) in RCA: 41] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The Resolution of the Identity second-order Møller-Plesset perturbation theory (RI-MP2) method is implemented within the linear-scaling Divide-Expand-Consolidate (DEC) framework. In a DEC calculation, the full molecular correlated calculation is replaced by a set of independent fragment calculations each using a subset of the total orbital space. The number of independent fragment calculations scales linearly with the system size, rendering the method linear-scaling and massively parallel. The DEC-RI-MP2 method can be viewed as an approximation to the DEC-MP2 method where the RI approximation is utilized in each fragment calculation. The individual fragment calculations scale with the fifth power of the fragment size for both methods. However, the DEC-RI-MP2 method has a reduced prefactor compared to DEC-MP2 and is well-suited for implementation on massively parallel supercomputers, as demonstrated by test calculations on a set of medium-sized molecules. The DEC error control ensures that the standard RI-MP2 energy can be obtained to the predefined precision. The errors associated with the RI and DEC approximations are compared, and it is shown that the DEC-RI-MP2 method can be applied to systems far beyond the ones that can be treated with a conventional RI-MP2 implementation.
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Affiliation(s)
- Pablo Baudin
- qLEAP Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Patrick Ettenhuber
- qLEAP Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Simen Reine
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P.O. Box 1033, N-1315 Blindern, Norway
| | - Kasper Kristensen
- qLEAP Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Thomas Kjærgaard
- qLEAP Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
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112
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Song C, Martínez TJ. Atomic orbital-based SOS-MP2 with tensor hypercontraction. I. GPU-based tensor construction and exploiting sparsity. J Chem Phys 2016; 144:174111. [DOI: 10.1063/1.4948438] [Citation(s) in RCA: 42] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Chenchen Song
- Department of Chemistry and the PULSE Institute, Stanford University, Stanford, California 94305, USA
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - Todd J. Martínez
- Department of Chemistry and the PULSE Institute, Stanford University, Stanford, California 94305, USA
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
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113
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Ettenhuber P, Baudin P, Kjærgaard T, Jørgensen P, Kristensen K. Orbital spaces in the divide-expand-consolidate coupled cluster method. J Chem Phys 2016; 144:164116. [DOI: 10.1063/1.4947019] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Patrick Ettenhuber
- qLEAP Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Pablo Baudin
- qLEAP Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Thomas Kjærgaard
- qLEAP Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Poul Jørgensen
- qLEAP Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Kasper Kristensen
- qLEAP Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
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114
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Rybkin VV, VandeVondele J. Spin-Unrestricted Second-Order Møller–Plesset (MP2) Forces for the Condensed Phase: From Molecular Radicals to F-Centers in Solids. J Chem Theory Comput 2016; 12:2214-23. [DOI: 10.1021/acs.jctc.6b00015] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Vladimir V. Rybkin
- Nanoscale Simulations, Department
of Materials, ETH Zürich, Wolfgang-Pauli-Str. 27, CH-8093 Zürich, Switzerland
| | - Joost VandeVondele
- Nanoscale Simulations, Department
of Materials, ETH Zürich, Wolfgang-Pauli-Str. 27, CH-8093 Zürich, Switzerland
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115
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Minenkov Y, Chermak E, Cavallo L. Troubles in the Systematic Prediction of Transition Metal Thermochemistry with Contemporary Out-of-the-Box Methods. J Chem Theory Comput 2016; 12:1542-60. [DOI: 10.1021/acs.jctc.5b01163] [Citation(s) in RCA: 39] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Yury Minenkov
- King Abdullah University of Science and Technology (KAUST), Physical
Science and Engineering Division (PSE), KAUST Catalysis Center (KCC), Thuwal 23955-6900, Saudi Arabia
| | - Edrisse Chermak
- King Abdullah University of Science and Technology (KAUST), Physical
Science and Engineering Division (PSE), KAUST Catalysis Center (KCC), Thuwal 23955-6900, Saudi Arabia
| | - Luigi Cavallo
- King Abdullah University of Science and Technology (KAUST), Physical
Science and Engineering Division (PSE), KAUST Catalysis Center (KCC), Thuwal 23955-6900, Saudi Arabia
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116
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Guo Y, Sivalingam K, Valeev EF, Neese F. SparseMaps—A systematic infrastructure for reduced-scaling electronic structure methods. III. Linear-scaling multireference domain-based pair natural orbital N-electron valence perturbation theory. J Chem Phys 2016; 144:094111. [DOI: 10.1063/1.4942769] [Citation(s) in RCA: 109] [Impact Index Per Article: 13.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Yang Guo
- Max Planck Institut für Chemische Energiekonversion, Stiftstr. 34-36, D-45470 Mülheim an der Ruhr, Germany
| | - Kantharuban Sivalingam
- Max Planck Institut für Chemische Energiekonversion, Stiftstr. 34-36, D-45470 Mülheim an der Ruhr, Germany
| | - Edward F. Valeev
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24014, USA
| | - Frank Neese
- Max Planck Institut für Chemische Energiekonversion, Stiftstr. 34-36, D-45470 Mülheim an der Ruhr, Germany
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117
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Høyvik IM, Jørgensen P. Characterization and Generation of Local Occupied and Virtual Hartree–Fock Orbitals. Chem Rev 2016; 116:3306-27. [DOI: 10.1021/acs.chemrev.5b00492] [Citation(s) in RCA: 37] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Ida-Marie Høyvik
- Department
of Chemistry, The Norwegian University of Science and Technology, Høgskoleringen 5, 7491 Trondheim, Norway
| | - Poul Jørgensen
- qLEAP
Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, Langelandsgade 140, 8000 Aarhus C, Denmark
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118
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Zhang L, Li W, Fang T, Li S. Ab initio molecular dynamics with intramolecular noncovalent interactions for unsolvated polypeptides. Theor Chem Acc 2016. [DOI: 10.1007/s00214-015-1799-z] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]
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119
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Schurkus HF, Ochsenfeld C. Communication: An effective linear-scaling atomic-orbital reformulation of the random-phase approximation using a contracted double-Laplace transformation. J Chem Phys 2016; 144:031101. [DOI: 10.1063/1.4939841] [Citation(s) in RCA: 58] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Henry F. Schurkus
- Chair of Theoretical Chemistry and Center for Integrated Protein Science Munich (CIPSM), Department of Chemistry, University of Munich (LMU), D-81377 Munich, Germany
| | - Christian Ochsenfeld
- Chair of Theoretical Chemistry and Center for Integrated Protein Science Munich (CIPSM), Department of Chemistry, University of Munich (LMU), D-81377 Munich, Germany
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120
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Kananenka AA, Phillips JJ, Zgid D. Efficient Temperature-Dependent Green’s Functions Methods for Realistic Systems: Compact Grids for Orthogonal Polynomial Transforms. J Chem Theory Comput 2016; 12:564-71. [DOI: 10.1021/acs.jctc.5b00884] [Citation(s) in RCA: 37] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Alexei A. Kananenka
- Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109, United States
| | - Jordan J. Phillips
- Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109, United States
| | - Dominika Zgid
- Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109, United States
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121
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Grüneis A. A coupled cluster and Møller-Plesset perturbation theory study of the pressure induced phase transition in the LiH crystal. J Chem Phys 2015; 143:102817. [DOI: 10.1063/1.4928645] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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122
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Del Ben M, Hutter J, VandeVondele J. Forces and stress in second order Møller-Plesset perturbation theory for condensed phase systems within the resolution-of-identity Gaussian and plane waves approach. J Chem Phys 2015; 143:102803. [DOI: 10.1063/1.4919238] [Citation(s) in RCA: 50] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Mauro Del Ben
- Department of Chemistry, University of Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
| | - Jürg Hutter
- Department of Chemistry, University of Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
| | - Joost VandeVondele
- Department of Materials, ETH Zürich, Wolfgang-Pauli-Strasse 27, CH-8093 Zürich, Switzerland
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123
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Minenkov Y, Chermak E, Cavallo L. Accuracy of DLPNO–CCSD(T) Method for Noncovalent Bond Dissociation Enthalpies from Coinage Metal Cation Complexes. J Chem Theory Comput 2015; 11:4664-76. [DOI: 10.1021/acs.jctc.5b00584] [Citation(s) in RCA: 76] [Impact Index Per Article: 8.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Yury Minenkov
- KAUST Catalysis
Center (KCC), King Abdullah University of Science and Technology, Thuwal-23955-6900, Saudi Arabia
| | - Edrisse Chermak
- KAUST Catalysis
Center (KCC), King Abdullah University of Science and Technology, Thuwal-23955-6900, Saudi Arabia
| | - Luigi Cavallo
- KAUST Catalysis
Center (KCC), King Abdullah University of Science and Technology, Thuwal-23955-6900, Saudi Arabia
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124
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Second-order Møller–Plesset perturbation (MP2) theory at finite temperature: relation with Surján’s density matrix MP2 and its application to linear-scaling divide-and-conquer method. Theor Chem Acc 2015. [DOI: 10.1007/s00214-015-1710-y] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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125
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Tsuchimochi T, Welborn M, Van Voorhis T. Density matrix embedding in an antisymmetrized geminal power bath. J Chem Phys 2015; 143:024107. [DOI: 10.1063/1.4926650] [Citation(s) in RCA: 41] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Takashi Tsuchimochi
- Department of Chemistry, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, Massachusetts 02139, USA
| | - Matthew Welborn
- Department of Chemistry, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, Massachusetts 02139, USA
| | - Troy Van Voorhis
- Department of Chemistry, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, Massachusetts 02139, USA
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126
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Kokkila Schumacher SIL, Hohenstein EG, Parrish RM, Wang LP, Martínez TJ. Tensor Hypercontraction Second-Order Møller–Plesset Perturbation Theory: Grid Optimization and Reaction Energies. J Chem Theory Comput 2015; 11:3042-52. [DOI: 10.1021/acs.jctc.5b00272] [Citation(s) in RCA: 41] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Sara I. L. Kokkila Schumacher
- Department
of Chemistry and the PULSE Institute, Stanford University, Stanford, California 94305, United States
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, United States
| | - Edward G. Hohenstein
- Department
of Chemistry and the PULSE Institute, Stanford University, Stanford, California 94305, United States
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, United States
- Department
of Chemistry and Biochemistry, City College of New York, New York, New York 10031, United States
| | - Robert M. Parrish
- Center
for Computational Molecular Science and Technology, School of Chemistry
and Biochemistry, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, United States
| | - Lee-Ping Wang
- Department
of Chemistry and the PULSE Institute, Stanford University, Stanford, California 94305, United States
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, United States
| | - Todd J. Martínez
- Department
of Chemistry and the PULSE Institute, Stanford University, Stanford, California 94305, United States
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, United States
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127
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Kállay M. Linear-scaling implementation of the direct random-phase approximation. J Chem Phys 2015; 142:204105. [DOI: 10.1063/1.4921542] [Citation(s) in RCA: 78] [Impact Index Per Article: 8.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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128
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Azar RJ, Head-Gordon M. Similarity-transformed perturbation theory on top of truncated local coupled cluster solutions: Theory and applications to intermolecular interactions. J Chem Phys 2015; 142:204101. [DOI: 10.1063/1.4921377] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Richard Julian Azar
- Kenneth S. Pitzer Center for Theoretical Chemistry, Department of Chemistry, University of California and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Martin Head-Gordon
- Kenneth S. Pitzer Center for Theoretical Chemistry, Department of Chemistry, University of California and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
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129
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Köppl C, Werner HJ. On the use of Abelian point group symmetry in density-fitted local MP2 using various types of virtual orbitals. J Chem Phys 2015; 142:164108. [DOI: 10.1063/1.4918772] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Christoph Köppl
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany
| | - Hans-Joachim Werner
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany
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130
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Affiliation(s)
- Michael A Collins
- †Research School of Chemistry, Australian National University, Canberra, ACT 0200, Australia
| | - Ryan P A Bettens
- ‡Department of Chemistry, National University of Singapore, 3 Science Drive 3, Singapore 117543, Singapore
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131
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Deng J, Gilbert ATB, Gill PMW. MP2[V] – A Simple Approximation to Second-Order Møller–Plesset Perturbation Theory. J Chem Theory Comput 2015; 11:1639-44. [DOI: 10.1021/acs.jctc.5b00147] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Jia Deng
- Research
School of Chemistry, The Australian National University, Canberra, Australian Capital Territory 2601, Australia
| | - Andrew T. B. Gilbert
- Research
School of Chemistry, The Australian National University, Canberra, Australian Capital Territory 2601, Australia
| | - Peter M. W. Gill
- Research
School of Chemistry, The Australian National University, Canberra, Australian Capital Territory 2601, Australia
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132
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Werner HJ, Knizia G, Krause C, Schwilk M, Dornbach M. Scalable Electron Correlation Methods I.: PNO-LMP2 with Linear Scaling in the Molecular Size and Near-Inverse-Linear Scaling in the Number of Processors. J Chem Theory Comput 2015; 11:484-507. [DOI: 10.1021/ct500725e] [Citation(s) in RCA: 103] [Impact Index Per Article: 11.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2023]
Affiliation(s)
- Hans-Joachim Werner
- Institut für Theoretische
Chemie, Universität Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Gerald Knizia
- Institut für Theoretische
Chemie, Universität Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Christine Krause
- Institut für Theoretische
Chemie, Universität Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Max Schwilk
- Institut für Theoretische
Chemie, Universität Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Mark Dornbach
- Institut für Theoretische
Chemie, Universität Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
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133
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Zhang C, Li S. An efficient localization procedure for large systems using a sequential transformation strategy. J Chem Phys 2014; 141:244106. [DOI: 10.1063/1.4904292] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Chenyang Zhang
- Key Laboratory of Mesoscopic Chemistry of Ministry of Education, School of Chemistry and Chemical Engineering, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210093, People’s Republic of China
| | - Shuhua Li
- Key Laboratory of Mesoscopic Chemistry of Ministry of Education, School of Chemistry and Chemical Engineering, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210093, People’s Republic of China
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134
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Li S, Li W, Ma J. Generalized energy-based fragmentation approach and its applications to macromolecules and molecular aggregates. Acc Chem Res 2014; 47:2712-20. [PMID: 24873495 DOI: 10.1021/ar500038z] [Citation(s) in RCA: 125] [Impact Index Per Article: 12.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Abstract
Conspectus The generalized energy-based fragmentation (GEBF) approach provides a very simple way of approximately evaluating the ground-state energy or properties of a large system in terms of ground-state energies of various small "electrostatically embedded" subsystems, which can be calculated with any traditional ab initio quantum chemistry (X) method (X = Hartree-Fock, density functional theory, and so on). Due to its excellent parallel efficiency, the GEBF approach at the X theory level (GEBF-X) allows full quantum mechanical (QM) calculations to be accessible for systems with hundreds and even thousands of atoms on ordinary workstations. The implementation of the GEBF approach at various theoretical levels can be easily done with existing quantum chemistry programs. This Account reviews the methodology, implementation, and applications of the GEBF-X approach. This method has been successfully applied to optimize the structures of various large systems including molecular clusters, polypeptides, proteins, and foldamers. Such investigations could allow us to elucidate the origin and nature of the cooperative interaction in secondary structures of long peptides or the driving force of the self-assembly processes of aromatic oligoamides. These GEBF-based QM calculations reveal that the structures and stability of various complex systems result from a subtle balance of many types of noncovalent interactions such as hydrogen bonding and van der Waals interactions. The GEBF-based ab initio molecular dynamics (AIMD) method also allows the investigation of dynamic behaviors of large systems on the order of tens of picoseconds. It was demonstrated that the conformational dynamics of two model peptides predicted by GEBF-based AIMD are noticeably different from those predicted by the classical force field MD method. With the target of extending QM calculations to molecular aggregates in the condensed phase, we have implemented the GEBF-based multilayer hybrid models, which could provide satisfactory descriptions of the binding energies between a solute molecule and its surrounding waters and the chain-length dependence of the conformational changes of oligomers in aqueous solutions. A coarse-grained polarizable molecular mechanics model, furnished with GEBF-X dipole moments of subsystems, exhibits some advantages of treating the electrostatic polarization with reduced computational costs. We anticipate that the GEBF approach will continue to develop with the ultimate goal of studying complicated phenomena at mesoscopic scales and serve as a practical tool to elucidate the structure and dynamics of chemical and biological systems.
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Affiliation(s)
- Shuhua Li
- School of Chemistry and Chemical
Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute
of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210093, People’s Republic of China
| | - Wei Li
- School of Chemistry and Chemical
Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute
of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210093, People’s Republic of China
| | - Jing Ma
- School of Chemistry and Chemical
Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute
of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210093, People’s Republic of China
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135
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Yang L, da Rocha SRP. Understanding Solvation in the Low Global Warming Hydrofluoroolefin HFO-1234ze Propellant. J Phys Chem B 2014; 118:10675-87. [DOI: 10.1021/jp5059319] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023]
Affiliation(s)
- Lin Yang
- Department of Chemical Engineering
and Materials Science, College of Engineering, Wayne State University, 5050 Anthony Wayne Drive, Detroit, Michigan 48202, United States
| | - Sandro R. P. da Rocha
- Department of Chemical Engineering
and Materials Science, College of Engineering, Wayne State University, 5050 Anthony Wayne Drive, Detroit, Michigan 48202, United States
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136
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Maurer SA, Kussmann J, Ochsenfeld C. Communication: A reduced scaling J-engine based reformulation of SOS-MP2 using graphics processing units. J Chem Phys 2014; 141:051106. [DOI: 10.1063/1.4891797] [Citation(s) in RCA: 32] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- S. A. Maurer
- Chair of Theoretical Chemistry, Department of Chemistry, University of Munich (LMU), Butenandtstr. 7, D-81377 München, Germany
- Center for Integrated Protein Science (CIPSM) at the Department of Chemistry, University of Munich (LMU), Butenandtstr. 5–13, D-81377 München, Germany
| | - J. Kussmann
- Chair of Theoretical Chemistry, Department of Chemistry, University of Munich (LMU), Butenandtstr. 7, D-81377 München, Germany
- Center for Integrated Protein Science (CIPSM) at the Department of Chemistry, University of Munich (LMU), Butenandtstr. 5–13, D-81377 München, Germany
| | - C. Ochsenfeld
- Chair of Theoretical Chemistry, Department of Chemistry, University of Munich (LMU), Butenandtstr. 7, D-81377 München, Germany
- Center for Integrated Protein Science (CIPSM) at the Department of Chemistry, University of Munich (LMU), Butenandtstr. 5–13, D-81377 München, Germany
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137
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Guo Y, Li W, Li S. Improved cluster-in-molecule local correlation approach for electron correlation calculation of large systems. J Phys Chem A 2014; 118:8996-9004. [PMID: 24963784 DOI: 10.1021/jp501976x] [Citation(s) in RCA: 36] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
An improved cluster-in-molecule (CIM) local correlation approach is developed to allow electron correlation calculations of large systems more accurate and faster. We have proposed a refined strategy of constructing virtual LMOs of various clusters, which is suitable for basis sets of various types. To recover medium-range electron correlation, which is important for quantitative descriptions of large systems, we find that a larger distance threshold (ξ) is necessary for highly accurate results. Our illustrative calculations show that the present CIM-MP2 (second-order Møller-Plesser perturbation theory, MP2) or CIM-CCSD (coupled cluster singles and doubles, CCSD) scheme with a suitable ξ value is capable of recovering more than 99.8% correlation energies for a wide range of systems at different basis sets. Furthermore, the present CIM-MP2 scheme can provide reliable relative energy differences as the conventional MP2 method for secondary structures of polypeptides.
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Affiliation(s)
- Yang Guo
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute of Theoretical and Computational Chemistry, Nanjing University , Nanjing 210093, P. R. China
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138
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Maurer SA, Clin L, Ochsenfeld C. Cholesky-decomposed density MP2 with density fitting: Accurate MP2 and double-hybrid DFT energies for large systems. J Chem Phys 2014; 140:224112. [DOI: 10.1063/1.4881144] [Citation(s) in RCA: 44] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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139
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Kaltak M, Klimeš J, Kresse G. Low Scaling Algorithms for the Random Phase Approximation: Imaginary Time and Laplace Transformations. J Chem Theory Comput 2014; 10:2498-507. [DOI: 10.1021/ct5001268] [Citation(s) in RCA: 95] [Impact Index Per Article: 9.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2022]
Affiliation(s)
- Merzuk Kaltak
- University of Vienna, Faculty of Physics and Center for Computational Materials Science, Sensengasse 8/12, A-1090 Vienna, Austria
| | - Jiří Klimeš
- University of Vienna, Faculty of Physics and Center for Computational Materials Science, Sensengasse 8/12, A-1090 Vienna, Austria
| | - Georg Kresse
- University of Vienna, Faculty of Physics and Center for Computational Materials Science, Sensengasse 8/12, A-1090 Vienna, Austria
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140
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Lestrange PJ, Peng B, Ding F, Trucks GW, Frisch MJ, Li X. Density of States Guided Møller–Plesset Perturbation Theory. J Chem Theory Comput 2014; 10:1910-4. [DOI: 10.1021/ct400765a] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Patrick J. Lestrange
- Department
of Chemistry, University of Washington, Seattle, Washington 98195, United States
| | - Bo Peng
- Department
of Chemistry, University of Washington, Seattle, Washington 98195, United States
| | - Feizhi Ding
- Department
of Chemistry, University of Washington, Seattle, Washington 98195, United States
| | - Gary W. Trucks
- Gaussian, Inc. 340 Quinnipiac Street,
Building 40, Wallingford, Connecticut 06492 United States
| | - Michael J. Frisch
- Gaussian, Inc. 340 Quinnipiac Street,
Building 40, Wallingford, Connecticut 06492 United States
| | - Xiaosong Li
- Department
of Chemistry, University of Washington, Seattle, Washington 98195, United States
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141
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Rolik Z, Szegedy L, Ladjánszki I, Ladóczki B, Kállay M. An efficient linear-scaling CCSD(T) method based on local natural orbitals. J Chem Phys 2014; 139:094105. [PMID: 24028100 DOI: 10.1063/1.4819401] [Citation(s) in RCA: 288] [Impact Index Per Article: 28.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
An improved version of our general-order local coupled-cluster (CC) approach [Z. Rolik and M. Kállay, J. Chem. Phys. 135, 104111 (2011)] and its efficient implementation at the CC singles and doubles with perturbative triples [CCSD(T)] level is presented. The method combines the cluster-in-molecule approach of Li and co-workers [J. Chem. Phys. 131, 114109 (2009)] with frozen natural orbital (NO) techniques. To break down the unfavorable fifth-power scaling of our original approach a two-level domain construction algorithm has been developed. First, an extended domain of localized molecular orbitals (LMOs) is assembled based on the spatial distance of the orbitals. The necessary integrals are evaluated and transformed in these domains invoking the density fitting approximation. In the second step, for each occupied LMO of the extended domain a local subspace of occupied and virtual orbitals is constructed including approximate second-order Mo̸ller-Plesset NOs. The CC equations are solved and the perturbative corrections are calculated in the local subspace for each occupied LMO using a highly-efficient CCSD(T) code, which was optimized for the typical sizes of the local subspaces. The total correlation energy is evaluated as the sum of the individual contributions. The computation time of our approach scales linearly with the system size, while its memory and disk space requirements are independent thereof. Test calculations demonstrate that currently our method is one of the most efficient local CCSD(T) approaches and can be routinely applied to molecules of up to 100 atoms with reasonable basis sets.
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Affiliation(s)
- Zoltán Rolik
- MTA-BME Lendület Quantum Chemistry Research Group, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, H-1521 Budapest, P.O. Box 91, Hungary
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142
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Moussa JE. Cubic-scaling algorithm and self-consistent field for the random-phase approximation with second-order screened exchange. J Chem Phys 2014; 140:014107. [DOI: 10.1063/1.4855255] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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143
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Bendavid LI, Carter EA. Status in Calculating Electronic Excited States in Transition Metal Oxides from First Principles. Top Curr Chem (Cham) 2014; 347:47-98. [DOI: 10.1007/128_2013_503] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/04/2023]
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144
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Maurer M, Ochsenfeld C. A linear- and sublinear-scaling method for calculating NMR shieldings in atomic orbital-based second-order Møller-Plesset perturbation theory. J Chem Phys 2013; 138:174104. [PMID: 23656111 DOI: 10.1063/1.4801084] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
An atomic-orbital (AO) based formulation for calculating nuclear magnetic resonance chemical shieldings at the second-order Møller-Plesset perturbation theory level is introduced, which provides a basis for reducing the scaling of the computational effort with the molecular size from the fifth power to linear and for a specific nucleus to sublinear. The latter sublinear scaling in the rate-determining steps becomes possible by avoiding global perturbations with respect to the magnetic field and by solving for quantities that involve the local nuclear magnetic spin perturbation instead. For avoiding the calculation of the second-order perturbed density matrix, we extend our AO-based reformulation of the Z-vector method within a density matrix-based scheme. Our pilot implementation illustrates the fast convergence with respect to the required number of Laplace points and the asymptotic scaling behavior in the rate-determining steps.
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Affiliation(s)
- Marina Maurer
- Chair of Theoretical Chemistry, Department of Chemistry, University of Munich, Butenandtstr. 7, D-81377 Munich, Germany
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145
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Røeggen I, Gao B. Perturbed atoms in molecules and solids: The PATMOS model. J Chem Phys 2013; 139:094104. [DOI: 10.1063/1.4818577] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022] Open
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146
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Jorgensen KR, Ramasesh VV, Hannibal S, DeYonker NJ, Wilson AK. Complete basis set limits of local second-order Møller–Plesset perturbation theory. Mol Phys 2013. [DOI: 10.1080/00268976.2013.809803] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- Kameron R. Jorgensen
- a Department of Biology and Chemistry , Texas A&M International University , Laredo , Texas , USA
- b Department of Chemistry and Center for Advanced Scientific Computing and Modeling (CASCaM) , University of North Texas , Denton , Texas , USA
| | - Vinay V. Ramasesh
- b Department of Chemistry and Center for Advanced Scientific Computing and Modeling (CASCaM) , University of North Texas , Denton , Texas , USA
| | - Sonja Hannibal
- b Department of Chemistry and Center for Advanced Scientific Computing and Modeling (CASCaM) , University of North Texas , Denton , Texas , USA
- c Institut für Reine und Angewandte Chemie (IRAC) , Universität Oldenburg , Oldenburg , Germany
| | - Nathan J. DeYonker
- b Department of Chemistry and Center for Advanced Scientific Computing and Modeling (CASCaM) , University of North Texas , Denton , Texas , USA
- d Department of Chemistry , The University of Memphis , Memphis , Tennessee , USA
| | - Angela K. Wilson
- b Department of Chemistry and Center for Advanced Scientific Computing and Modeling (CASCaM) , University of North Texas , Denton , Texas , USA
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147
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Steinmetz M, Grimme S. Benchmark study of the performance of density functional theory for bond activations with (ni,pd)-based transition-metal catalysts. ChemistryOpen 2013; 2:115-24. [PMID: 24551548 PMCID: PMC3703816 DOI: 10.1002/open.201300012] [Citation(s) in RCA: 120] [Impact Index Per Article: 10.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/07/2013] [Indexed: 11/25/2022] Open
Abstract
The performance of 23 density functionals, including one LDA, four GGAs, three meta-GGAs, three hybrid GGAs, eight hybrid meta-GGAs, and ten double-hybrid functionals, was investigated for the computation of activation energies of various covalent main-group single bonds by four catalysts: Pd, PdCl−, PdCl2, and Ni (all in the singlet state). A reactant complex, the barrier, and reaction energy were considered, leading to 164 energy data points for statistical analysis. Extended Gaussian AO basis sets were used in all calculations. The best functional for the complete benchmark set relative to estimated CCSD(T)/CBS reference data is PBE0-D3, with an MAD value of 1.1 kcal mol−1 followed by PW6B95-D3, the double hybrid PWPB95-D3, and B3LYP-D3 (1.9 kcal mol−1 each). The other tested hybrid meta-GGAs perform less well (M06-HF: 7.0 kcal mol−1; M06-2X: 6.3 kcal mol−1; M06: 4.9 kcal mol−1) for the investigated reactions. In the Ni case, some double hybrids show larger errors due to partial breakdown of the perturbative treatment for the correlation energy in cases with difficult electronic structures (partial multi-reference character). Only double hybrids either with very low amounts of perturbative correlation (e.g., PBE0-DH) or that use the opposite-spin correlation component only (e.g., PWPB95) seem to be more robust. We also investigated the effect of the D3 dispersion correction. While the barriers are not affected by this correction, significant and mostly positive results were observed for reaction energies. Furthermore, six very recently proposed double-hybrid functionals were analyzed regarding the influence of the amount of Fock exchange as well as the type of perturbative correlation treatment. According to these results, double hybrids with <50–60 % of exact exchange and ∼30 % perturbative correlation perform best.
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Affiliation(s)
- Marc Steinmetz
- Mulliken Center for Theoretical Chemistry, Institut für Physikalische und Theoretische Chemie der Universität Bonn Beringstr. 4, 53115 Bonn (Germany)
| | - Stefan Grimme
- Mulliken Center for Theoretical Chemistry, Institut für Physikalische und Theoretische Chemie der Universität Bonn Beringstr. 4, 53115 Bonn (Germany)
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148
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Del Ben M, Hutter J, VandeVondele J. Electron Correlation in the Condensed Phase from a Resolution of Identity Approach Based on the Gaussian and Plane Waves Scheme. J Chem Theory Comput 2013; 9:2654-71. [DOI: 10.1021/ct4002202] [Citation(s) in RCA: 100] [Impact Index Per Article: 9.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Mauro Del Ben
- Institute of Physical Chemistry, University of Zürich, Winterthurerstrasse 190,
CH-8057 Zürich, Switzerland
| | - Jürg Hutter
- Institute of Physical Chemistry, University of Zürich, Winterthurerstrasse 190,
CH-8057 Zürich, Switzerland
| | - Joost VandeVondele
- Department
of Materials, ETH Zürich, Wolfgang-Pauli-Strasse 27, CH-8093 Zürich, Switzerland
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149
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Su NQ, Zhang IY, Xu X. Analytic derivatives for the XYG3 type of doubly hybrid density functionals: Theory, implementation, and assessment. J Comput Chem 2013; 34:1759-74. [DOI: 10.1002/jcc.23312] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/27/2013] [Revised: 04/08/2013] [Accepted: 04/11/2013] [Indexed: 12/22/2022]
Affiliation(s)
- Neil Qiang Su
- Department of Chemistry, Shanghai Key Laboratory of Molecular Catalysis and Innovative Materials, MOE Laboratory for Computational Physical Science, Collaborative Innovation Center of Chemistry for Energy Materials; Fudan University; Shanghai; 200433; China
| | - Igor Ying Zhang
- Department of Chemistry, Shanghai Key Laboratory of Molecular Catalysis and Innovative Materials, MOE Laboratory for Computational Physical Science, Collaborative Innovation Center of Chemistry for Energy Materials; Fudan University; Shanghai; 200433; China
| | - Xin Xu
- Department of Chemistry, Shanghai Key Laboratory of Molecular Catalysis and Innovative Materials, MOE Laboratory for Computational Physical Science, Collaborative Innovation Center of Chemistry for Energy Materials; Fudan University; Shanghai; 200433; China
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150
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Kats D, Manby FR. Sparse tensor framework for implementation of general local correlation methods. J Chem Phys 2013; 138:144101. [DOI: 10.1063/1.4798940] [Citation(s) in RCA: 47] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022] Open
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