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Xi ZK, Ding YH, Tian X. Building a New Platform for Significantly Improving Performance of Hartree-Fock and CCSD(T) Correlation Energy Based on Two-Point Complete Basis Set Extrapolation Schemes. J Phys Chem A 2024. [PMID: 38686765 DOI: 10.1021/acs.jpca.4c01712] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/02/2024]
Abstract
The leading cause of high expense in gold standard coupled cluster theory is that calculations of electronic energies converge exceedingly slowly with an increased basis set size. Extrapolation principally allows for achieving higher-quality outcomes at reduced costs. Numerous extrapolation formulas have been developed, with attempts to predict energies up to the complete basis set limit. Unfortunately, since the intricate shape of the function hinges on the molecular properties with the highest angular momentum of the basis set, the accuracy of the extrapolated energies highly depends on the fitted empirical parameters, which rely on the quality of the data sets for fitting. In this work, to overcome the extrapolation deficiency caused by the very limited data sets and smaller basis sets in the early stages, we constructed a new benchmark platform that includes a broader data set of 183 species (containing open-shell, closed-shell, ionic, and neutral species) and a larger basis set up to aug-cc-pV6Z. The newly optimized parameters can significantly improve the energy-predictive abilities of ten published formulas. Notably, all ten formulas perform quite similarly under the new platform with the reoptimized parameters. Finally, we built an online calculator for researchers to use for these extrapolation schemes. Our work would reignite the interest and applications of the underestimated formulas.
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Affiliation(s)
- Zhao-Kai Xi
- †Key Laboratory of Carbon Materials of Zhejiang Province, Wenzhou Key Lab of Advanced Energy Storage and Conversion, Zhejiang Province Key Lab of Leather Engineering, College of Chemistry and Materials Engineering, Wenzhou University, Wenzhou 325035, P. R. China
| | - Yi-Hong Ding
- Key Laboratory of Carbon Materials of Zhejiang Province, Wenzhou Key Lab of Advanced Energy Storage and Conversion, Zhejiang Province Key Lab of Leather Engineering, College of Chemistry and Materials Engineering, Wenzhou University, Wenzhou 325035, P. R. China
- Institute of Theoretical Chemistry, Jilin University, Changchun 130023, P. R. China
| | - Xiao Tian
- School of Mathematics and Science, Hebei GEO University, Shijiazhuang 050031, P. R. China
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Savin A, Karwowski J. Correcting Models with Long-Range Electron Interaction Using Generalized Cusp Conditions. J Phys Chem A 2023; 127:1377-1385. [PMID: 36720050 DOI: 10.1021/acs.jpca.2c08426] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
Abstract
Sources of energy errors resulting from the replacement of the physical Coulomb interaction by its long-range erfc(μr)/r approximation are explored. It is demonstrated that the results can be dramatically improved and the range of μ giving energies within chemical accuracy limits significantly extended if the generalized cusp conditions are used to represent the wave function at small r. The numerical results for two-electron harmonium are presented and discussed.
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Affiliation(s)
- Andreas Savin
- Laboratoire de Chimie Théorique, CNRS and Sorbonne University4 Place Jussieu, 75252Paris cedex 05, France
| | - Jacek Karwowski
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziadzka 5, 87-100Toruń, Poland
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Ma Q, Werner HJ. Scalable Electron Correlation Methods. 8. Explicitly Correlated Open-Shell Coupled-Cluster with Pair Natural Orbitals PNO-RCCSD(T)-F12 and PNO-UCCSD(T)-F12. J Chem Theory Comput 2021; 17:902-926. [PMID: 33405921 DOI: 10.1021/acs.jctc.0c01129] [Citation(s) in RCA: 20] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]
Abstract
We present explicitly correlated open-shell pair natural orbital local coupled-cluster methods, PNO-RCCSD(T)-F12 and PNO-UCCSD(T)-F12. The methods are extensions of our previously reported PNO-R/UCCSD methods (J. Chem. Theory Comput., 2020, 16, 3135-3151, https://pubs.acs.org/doi/10.1021/acs.jctc.0c00192) with additions of explicit correlation and perturbative triples corrections. The explicit correlation treatment follows the spin-orbital CCSD-F12b theory using Ansatz 3*A, which is found to yield comparable or better basis set convergence than the more rigorous Ansatz 3C in computed ionization potentials and reaction energies using double- to quaduple-ζ basis sets. The perturbative triples correction is adapted from the spin-orbital (T) theory to use triples natural orbitals (TNOs). To address the coupling due to off-diagonal Fock matrix elements, the local triples amplitudes are iteratively solved using small domains of TNOs, and a semicanonical (T0) domain correction with larger domains is applied to reduce the domain errors. The performance of the methods is demonstrated through benchmark calculations on ionization potentials, radical stabilization energies, reaction energies of fragmentations and rearrangements in radical cations, and spin-state energy differences of iron complexes. For a few test sets where canonical calculations are feasible, PNO-RCCSD(T)-F12 results agree with the canonical ones to within 0.4 kcal mol-1, and this maximum error is reduced to below 0.2 kcal mol-1 when large local domains are used. For larger systems, results using different thresholds for the local approximations are compared to demonstrate that 1 kcal mol-1 level of accuracy can be achieved using our default settings. For a couple of difficult cases, it is demonstrated that the errors from individual approximations are only a fraction of 1 kcal mol-1, and the overall accuracy of the method does not rely on error compensations. In contrast to canonical calculations, the use of spin-orbitals does not lead to a significant increase of computational time and memory usage in the most expensive steps of PNO-R/UCCSD(T)-F12 calculations. The only exception is the iterative solution of the (T) amplitudes, which can be avoided without significant errors by using a perturbative treatment of the off-diagonal coupling, known as (T1) approximation. For most systems, even the semicanonical approximation (T0) leads only to small errors in relative energies. Our program is well parallelized and capable of computing accurate correlation energies for molecules with 100-200 atoms using augmented triple-ζ basis sets in less than a day of elapsed time on a small computer cluster.
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Affiliation(s)
- Qianli Ma
- 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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4
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Sorathia K, Tew DP. Basis set extrapolation in pair natural orbital theories. J Chem Phys 2020; 153:174112. [PMID: 33167642 DOI: 10.1063/5.0022077] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present the results of a benchmark study of the effect of Pair Natural Orbital (PNO) truncation errors on the performance of basis set extrapolation. We find that reliable conclusions from the application of Helgaker's extrapolation method are only obtained when using tight PNO thresholds of at least 10-7. The use of looser thresholds introduces a significant risk of observing a false basis set convergence and underestimating the residual basis set errors. We propose an alternative extrapolation approach based on the PNO truncation level that only requires a single basis set and show that it is a viable alternative to hierarchical basis set extrapolation methods.
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Affiliation(s)
- Kesha Sorathia
- Max Planck Institute for Solid State Research, Heisenbergstrasse 1, 70569 Stuttgart, GermanyUniversity of Oxford, South Parks Road, Oxford OX1 3QZ, United Kingdom
| | - David P Tew
- Max Planck Institute for Solid State Research, Heisenbergstrasse 1, 70569 Stuttgart, Germany
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5
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Savin A. Models and corrections: Range separation for electronic interaction—Lessons from density functional theory. J Chem Phys 2020; 153:160901. [DOI: 10.1063/5.0028060] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/20/2023] Open
Affiliation(s)
- Andreas Savin
- Laboratoire de Chimie Théorique, CNRS and Sorbonne University, 4 Place Jussieu, 75252 Paris Cedex 05, France
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Teke NK, Pavošević F, Peng C, Valeev EF. Explicitly correlated renormalized second-order Green’s function for accurate ionization potentials of closed-shell molecules. J Chem Phys 2019; 150:214103. [DOI: 10.1063/1.5090983] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Nakul K. Teke
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Fabijan Pavošević
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Chong Peng
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Edward F. Valeev
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
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Giner E, Tew DP, Garniron Y, Alavi A. Interplay between Electronic Correlation and Metal–Ligand Delocalization in the Spectroscopy of Transition Metal Compounds: Case Study on a Series of Planar Cu2+ Complexes. J Chem Theory Comput 2018; 14:6240-6252. [DOI: 10.1021/acs.jctc.8b00591] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Emmanuel Giner
- Laboratoire de Chimie théorique, Sorbonne Universit, UMR 7616, 4 place Jussieu, 75252 Paris, France
| | - David P. Tew
- Max Planck Institute for Solid State Research, Heisenbergstraβe 1, 70569 Stuttgart, Germany
| | - Yann Garniron
- Laboratoire de Chimie et Physique Quantique, UMR 5626, Universit Paul Sabatier, 118 route de Narbonne 31062 Toulouse, France
| | - Ali Alavi
- Max Planck Institute for Solid State Research, Heisenbergstraβe 1, 70569 Stuttgart, Germany
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Tew DP, Kats D. Relaxing Constrained Amplitudes: Improved F12 Treatments of Orbital Optimization and Core–Valence Correlation Energies. J Chem Theory Comput 2018; 14:5435-5440. [DOI: 10.1021/acs.jctc.8b00792] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- David P. Tew
- Max Planck Institute for Solid State
Research, Heisenbergstraße 1, 70569 Stuttgart, Germany
| | - Daniel Kats
- Max Planck Institute for Solid State
Research, Heisenbergstraße 1, 70569 Stuttgart, Germany
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Grüneis A, Hirata S, Ohnishi YY, Ten-no S. Perspective: Explicitly correlated electronic structure theory for complex systems. J Chem Phys 2017; 146:080901. [DOI: 10.1063/1.4976974] [Citation(s) in RCA: 47] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Andreas Grüneis
- Max Planck Institute for Solid State Research, Heisenbergstrasse 1, 70569 Stuttgart,
Germany
- Department Chemie, Technische Universität München (TUM), Lichtenbergstrasse 4, D-85747 Garching,
Germany
- Graduate School of Science, Technology, and Innovation,
Kobe University, Nada-ku, Kobe 657-8501,
Japan
| | - So Hirata
- Department of Chemistry, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
| | - Yu-ya Ohnishi
- Graduate School of System Informatics, Kobe University, Nada-ku, Kobe 657-8501, Japan
| | - Seiichiro Ten-no
- Graduate School of Science, Technology, and Innovation,
Kobe University, Nada-ku, Kobe 657-8501,
Japan
- Graduate School of System Informatics, Kobe University, Nada-ku, Kobe 657-8501, Japan
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10
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Tew DP. Explicitly correlated coupled-cluster theory with Brueckner orbitals. J Chem Phys 2016; 145:074103. [DOI: 10.1063/1.4960655] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- David P. Tew
- School of Chemistry, University of Bristol, Bristol BS8 1TS, United Kingdom
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11
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Hehn AS, Tew DP, Klopper W. Explicitly correlated ring-coupled-cluster-doubles theory. J Chem Phys 2015; 142:194106. [DOI: 10.1063/1.4921256] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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12
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Accurate atomization energies from combining coupled-cluster computations with interference-corrected explicitly correlated second-order perturbation theory. Theor Chem Acc 2014. [DOI: 10.1007/s00214-014-1446-0] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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13
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Yan LL, Liu YR, Huang T, Jiang S, Wen H, Gai YB, Zhang WJ, Huang W. Structure, stability, and electronic property of carbon-doped gold clusters AunC− (n = 1–10): A density functional theory study. J Chem Phys 2013; 139:244312. [DOI: 10.1063/1.4852179] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023] Open
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14
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Harding ME, Klopper W. Systematic construction of complementary auxiliary basis sets from and for atomic natural orbitals. Mol Phys 2013. [DOI: 10.1080/00268976.2013.829926] [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]
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15
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Grüneis A, Shepherd JJ, Alavi A, Tew DP, Booth GH. Explicitly correlated plane waves: Accelerating convergence in periodic wavefunction expansions. J Chem Phys 2013; 139:084112. [DOI: 10.1063/1.4818753] [Citation(s) in RCA: 56] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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16
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Hehn AS, Klopper W. Communication: Explicitly-correlated second-order correction to the correlation energy in the random-phase approximation. J Chem Phys 2013; 138:181104. [DOI: 10.1063/1.4804282] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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17
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Hollman DS, Wilke JJ, Schaefer HF. Explicitly correlated atomic orbital basis second order Møller–Plesset theory. J Chem Phys 2013; 138:064107. [DOI: 10.1063/1.4790582] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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18
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Harding ME, Klopper W. Benchmarking the Lithium–Thiophene Complex. Chemphyschem 2012; 14:708-15. [DOI: 10.1002/cphc.201200834] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2012] [Indexed: 11/12/2022]
Affiliation(s)
- Michael E. Harding
- Institut für Nanotechnologie, Karlsruher Institut für Technologie (KIT), Campus Nord, Postfach 3640, 76021 Karlsruhe (Germany)
| | - Wim Klopper
- Institut für Nanotechnologie, Karlsruher Institut für Technologie (KIT), Campus Nord, Postfach 3640, 76021 Karlsruhe (Germany)
- Institut für Physikalische Chemie, Karlsruher Institut für Technologie (KIT), Campus Süd, Postfach 6980, 76049 Karlsruhe (Germany)
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Booth GH, Cleland D, Alavi A, Tew DP. An explicitly correlated approach to basis set incompleteness in full configuration interaction quantum Monte Carlo. J Chem Phys 2012; 137:164112. [DOI: 10.1063/1.4762445] [Citation(s) in RCA: 47] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022] Open
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20
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Hättig C, Tew DP, Helmich B. Local explicitly correlated second- and third-order Møller–Plesset perturbation theory with pair natural orbitals. J Chem Phys 2012; 136:204105. [DOI: 10.1063/1.4719981] [Citation(s) in RCA: 78] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
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Bokhan D, Trubnikov DN. Explicitly correlated second-order Møller-Plesset perturbation theory employing pseudospectral numerical quadratures. J Chem Phys 2012; 136:204110. [PMID: 22667543 DOI: 10.1063/1.4719037] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022] Open
Abstract
We implemented explicitly correlated second-order Møller-Plesset perturbation theory with numerical quadratures using pseudospectral construction of grids. Introduction of pseudospectral approach for the calculation of many-electron integrals gives a possibility to use coarse grids without significant loss of precision in correlation energies, while the number of points in the grid is reduced about nine times. The use of complementary auxiliary basis sets as the sets of dealiasing functions is justified at both theoretical and computational levels. Benchmark calculations for a set of 16 molecules have shown the possibility to keep an error of second-order correlation energies within 1 milihartree (mH) with respect to MP2-F12 method with dense grids. Numerical tests for a set of 13 isogyric reactions are also performed.
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Affiliation(s)
- Denis Bokhan
- Laboratory of Molecular Beams, Physical Chemistry Division, Department of Chemistry, Moscow Lomonosov State University, Moscow 119991, Russian Federation.
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22
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Haunschild R, Klopper W. New accurate reference energies for the G2/97 test set. J Chem Phys 2012; 136:164102. [DOI: 10.1063/1.4704796] [Citation(s) in RCA: 40] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Haunschild R, Mao S, Mukherjee D, Klopper W. A universal explicit electron correlation correction applied to Mukherjee’s multi-reference perturbation theory. Chem Phys Lett 2012. [DOI: 10.1016/j.cplett.2012.02.020] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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24
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Haunschild R, Klopper W. Theoretical reference values for the AE6 and BH6 test sets from explicitly correlated coupled-cluster theory. Theor Chem Acc 2012. [DOI: 10.1007/s00214-012-1112-3] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/14/2022]
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Hättig C, Klopper W, Köhn A, Tew DP. Explicitly Correlated Electrons in Molecules. Chem Rev 2011; 112:4-74. [DOI: 10.1021/cr200168z] [Citation(s) in RCA: 401] [Impact Index Per Article: 30.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Christof Hättig
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum, D-44780 Bochum, Germany
| | - Wim Klopper
- Abteilung für Theoretische Chemie, Institut für Physikalische Chemie, Karlsruher Institut für Technologie, KIT-Campus Süd, Postfach 6980, D-76049 Karlsruhe, Germany
| | - Andreas Köhn
- Institut für Physikalische Chemie, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany
| | - David P. Tew
- School of Chemistry, University of Bristol, Bristol BS8 1TS, United Kingdom
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27
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Domin D, Benoit DM. Assessing Spin-Component-Scaled Second-Order Møller-Plesset Theory Using Anharmonic Frequencies. Chemphyschem 2011; 12:3383-91. [DOI: 10.1002/cphc.201100499] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/29/2011] [Indexed: 11/08/2022]
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Ten‐no S, Noga J. Explicitly correlated electronic structure theory from R12/F12 ansätze. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2011. [DOI: 10.1002/wcms.68] [Citation(s) in RCA: 107] [Impact Index Per Article: 8.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
Affiliation(s)
- Seiichiro Ten‐no
- Graduate School of System Informatics, Kobe University, Nada‐ku, Kobe, Japan
- CREST, Japan Science and Technology Agency (JST), Saitama, Japan
| | - Jozef Noga
- Department of Inorganic Chemistry, Faculty of Natural Sciences, Comenius University, Bratislava, Slovakia
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Bratislava, Slovakia
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30
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Vogiatzis KD, Barnes EC, Klopper W. Interference-corrected explicitly-correlated second-order perturbation theory. Chem Phys Lett 2011. [DOI: 10.1016/j.cplett.2010.12.065] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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31
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Bokhan D, Ten-no S. Explicitly correlated equation-of-motion coupled-cluster methods for excited and electron-attached states. J Chem Phys 2010; 133:204103. [DOI: 10.1063/1.3505637] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022] Open
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32
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Köhn A, Tew DP. Explicitly correlated coupled-cluster theory using cusp conditions. I. Perturbation analysis of coupled-cluster singles and doubles (CCSD-F12). J Chem Phys 2010; 133:174117. [DOI: 10.1063/1.3496372] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
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33
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Hättig C, Tew DP, Köhn A. Communications: Accurate and efficient approximations to explicitly correlated coupled-cluster singles and doubles, CCSD-F12. J Chem Phys 2010; 132:231102. [PMID: 20572681 DOI: 10.1063/1.3442368] [Citation(s) in RCA: 226] [Impact Index Per Article: 16.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2022] Open
Abstract
We propose a novel explicitly correlated coupled-cluster singles and doubles method CCSD(F12(*)), which retains the accuracy of CCSD-F12 while the computational costs are only insignificantly larger than those for a conventional CCSD calculation.
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Affiliation(s)
- Christof Hättig
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum, D-44780 Bochum, Germany.
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34
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Friedrich J, Tew DP, Klopper W, Dolg M. Automated incremental scheme for explicitly correlated methods. J Chem Phys 2010; 132:164114. [DOI: 10.1063/1.3394017] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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