1
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Werner HJ, Hansen A. Accurate Calculation of Isomerization and Conformational Energies of Larger Molecules Using Explicitly Correlated Local Coupled Cluster Methods in Molpro and ORCA. J Chem Theory Comput 2023; 19:7007-7030. [PMID: 37486154 DOI: 10.1021/acs.jctc.3c00270] [Citation(s) in RCA: 6] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 07/25/2023]
Abstract
An overview of the approximations in the explicitly correlated local coupled cluster methods PNO-LCCSD(T)-F12 in Molpro and DLPNO-CCSD(T)F12 in ORCA is given. Options to select the domains of projected atomic orbitals (PAOs), pair natural orbitals (PNOs), and triples natural orbitals (TNOs) in both programs are described and compared in detail. The two programs are applied to compute isomerization and conformational energies of the ISOL24 and ACONFL test sets, where the former is part of the GMTKN55 benchmark suite. Thorough studies of basis set effects are presented for selected systems. These revealed large intramolecular basis set superposition effects that make it practically impossible to reliably determine the complete basis set (CBS) limits without including explicitly correlated terms. The latter strongly reduce the basis set dependence and at the same time also errors caused by the local domain approximations. On the basis of these studies, the PNO-LCCSD(T)-F12 method is applied to determine new reference energies for the above-mentioned benchmark sets. We are confident that our results should agree within a few tenths of a kcal mol-1 with the (unknown) CCSD(T)/CBS values, which therefore allowed us to define computational settings for accurate explicitly correlated local coupled cluster methods with moderate computational effort. With these protocols, especially PNO-LCCSD(T)-F12b/AVTZ', reliable reference values for comprehensive benchmark sets can be generated efficiently. This can significantly advance the development and evaluation of the performance of approximate electronic structure methods, especially improved density functional approximations or machine learning approaches.
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Affiliation(s)
- Hans-Joachim Werner
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany
| | - Andreas Hansen
- Mulliken Center for Theoretical Chemistry, Universität Bonn, Beringstrasse 4, D-53115 Bonn, Germany
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2
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Liang Q, Yang J. Third-Order Many-Body Expansion of OSV-MP2 Wave Function for Low-Order Scaling Analytical Gradient Computation. J Chem Theory Comput 2021; 17:6841-6860. [PMID: 34704757 DOI: 10.1021/acs.jctc.1c00581] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Abstract
We present a many-body expansion (MBE) formulation and implementation for efficient computation of analytical energy gradients from the orbital-specific-virtual second-order Møllet-Plesset perturbation theory (OSV-MP2) based on our earlier work (Zhou et al. J. Chem. Theory Comput. 2020, 16, 196-210). The third-order MBE(3) expansion of OSV-MP2 amplitudes and density matrices was developed to adopt the orbital-specific clustering and long-range termination schemes, which avoids term-by-term differentiations of the MBE energy bodies. We achieve better efficiency by exploiting the algorithmic sparsity that allows us to prune out insignificant fitting integrals and OSV relaxations. With these approximations, the present implementation is benchmarked on a range of molecules that show an economic scaling in the linear and quadratic regimes for computing MBE(3)-OSV-MP2 amplitude and gradient equations, respectively, and yields normal accuracy comparable to the original OSV-MP2 results. The MPI-3-based parallelism through shared memory one-sided communication is further developed for improving parallel scalability and memory accessibility by sorting the MBE(3) orbital clusters into independent tasks that are distributed on multiple processes across many nodes, supporting both global and local data locations in which selected MBE(3)-OSV-MP2 intermediates of different sizes are distinguished and accordingly placed. The accuracy and efficiency level of our MBE(3)-OSV-MP2 analytical gradient implementation is finally illustrated in two applications: we show that the subtle coordination structure differences of mechanically interlocked Cu-catenane complexes can be distinguished when tuning ligand lengths; and the porphycene molecular dynamics reveals the emergence of the vibrational signature arising from softened N-H stretching associated with hydrogen transfer, using an MP2 level of electron correlation and classical nuclei for the first time.
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Affiliation(s)
- Qiujiang Liang
- Department of Chemistry, The University of Hong Kong, Hong Kong SAR, P. R. China
| | - Jun Yang
- Department of Chemistry, The University of Hong Kong, Hong Kong SAR, P. R. China
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3
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Interactions between large molecules pose a puzzle for reference quantum mechanical methods. Nat Commun 2021; 12:3927. [PMID: 34168142 PMCID: PMC8225865 DOI: 10.1038/s41467-021-24119-3] [Citation(s) in RCA: 45] [Impact Index Per Article: 15.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/20/2020] [Accepted: 06/02/2021] [Indexed: 02/05/2023] Open
Abstract
Quantum-mechanical methods are used for understanding molecular interactions throughout the natural sciences. Quantum diffusion Monte Carlo (DMC) and coupled cluster with single, double, and perturbative triple excitations [CCSD(T)] are state-of-the-art trusted wavefunction methods that have been shown to yield accurate interaction energies for small organic molecules. These methods provide valuable reference information for widely-used semi-empirical and machine learning potentials, especially where experimental information is scarce. However, agreement for systems beyond small molecules is a crucial remaining milestone for cementing the benchmark accuracy of these methods. We show that CCSD(T) and DMC interaction energies are not consistent for a set of polarizable supramolecules. Whilst there is agreement for some of the complexes, in a few key systems disagreements of up to 8 kcal mol-1 remain. These findings thus indicate that more caution is required when aiming at reproducible non-covalent interactions between extended molecules.
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4
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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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5
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Pinski P, Neese F. Analytical gradient for the domain-based local pair natural orbital second order Møller-Plesset perturbation theory method (DLPNO-MP2). J Chem Phys 2019; 150:164102. [DOI: 10.1063/1.5086544] [Citation(s) in RCA: 23] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023] Open
Affiliation(s)
- Peter Pinski
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, 45470 Mülheim an der Ruhr, Germany
| | - Frank Neese
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, 45470 Mülheim an der Ruhr, Germany
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6
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Kozłowska J, Schwilk M, Roztoczyńska A, Bartkowiak W. Assessment of DFT for endohedral complexes' dipole moment: PNO-LCCSD-F12 as a reference method. Phys Chem Chem Phys 2018; 20:29374-29388. [PMID: 30451255 DOI: 10.1039/c8cp05928d] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We present a systematic evaluation of the performance of a wide range of exchange-correlation functionals and related dispersion correction schemes for the computation of dipole moments of endohedral complexes, formed through the encapsulation of an AB molecule (AB = LiF, HCl) inside carbon nanotubes (CNTs) of different diameter. The consistency and accuracy of (i) generalized gradient approximation, (ii) meta GGA, (iii) global hybrid, and (iv) range-separated hybrid density functionals are assessed. In total, 37 density functionals are tested. The results obtained using the highly accurate pair natural orbitals based explicitly correlated local coupled cluster singles doubles (PNO-LCCSD-F12) method of Werner and co-workers [Schwilk et al., J. Chem. Theory Comput., 2017, 13, 3650; Ma et al., J. Chem. Theory Comput., 2017, 13, 4871] with the aug-cc-pVTZ basis set serve as a reference. The static electric dipole moment is computed via the finite field response or, when possible, as the expectation value of the dipole operator. Among others, it is shown that functionals belonging to the class of range-separated hybrids, provide results closest to the coupled cluster reference data. In particular, the ωB97X as well as the M11 functional may be considered as a promising choice for computing electric properties of noncovalent endohedral complexes. On the other hand, the worst performance was found for the functionals which do not include the Hartree-Fock exchange. The analysis of both the coupled cluster and the DFT results indicates a strong coupling of dispersion and polarization that may also explain why lower level DFT methods, as well as Hartree-Fock and MP2, cannot yield dipole moments beyond a qualitative agreement with the higher order reference data. Interestingly, the much smaller and less systematically constructed basis sets of Pople of moderate size provide results of accuracy at least comparable with the extended Dunning's aug-cc-pVTZ basis set.
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Affiliation(s)
- Justyna Kozłowska
- Department of Physical and Quantum Chemistry, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, PL-50370 Wrocław, Poland.
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7
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Ma Q, Werner H. Explicitly correlated local coupled‐cluster methods using pair natural orbitals. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2018. [DOI: 10.1002/wcms.1371] [Citation(s) in RCA: 100] [Impact Index Per Article: 16.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Affiliation(s)
- Qianli Ma
- Institute for Theoretical ChemistryUniversity of StuttgartStuttgartGermany
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8
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Fiedler B, Himmel D, Krossing I, Friedrich J. More Stable Template Localization for an Incremental Focal-Point Approach—Implementation and Application to the Intramolecular Decomposition of Tris-perfluoro- tert-butoxyalane. J Chem Theory Comput 2018; 14:557-571. [DOI: 10.1021/acs.jctc.7b00707] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Benjamin Fiedler
- Institut
für Chemie, Technische Universität Chemnitz, 09111 Chemnitz, Germany
| | - Daniel Himmel
- Institut
für Anorganische und Analytische Chemie, Albert-Ludwigs-Universität Freiburg, 79104 Freiburg, Germany
| | - Ingo Krossing
- Institut
für Anorganische und Analytische Chemie, Albert-Ludwigs-Universität Freiburg, 79104 Freiburg, Germany
| | - Joachim Friedrich
- Institut
für Chemie, Technische Universität Chemnitz, 09111 Chemnitz, Germany
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9
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Fiedler B, Schmitz G, Hättig C, Friedrich J. Combining Accuracy and Efficiency: An Incremental Focal-Point Method Based on Pair Natural Orbitals. J Chem Theory Comput 2017; 13:6023-6042. [PMID: 29045786 DOI: 10.1021/acs.jctc.7b00654] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023]
Abstract
In this work, we present a new pair natural orbitals (PNO)-based incremental scheme to calculate CCSD(T) and CCSD(T0) reaction, interaction, and binding energies. We perform an extensive analysis, which shows small incremental errors similar to previous non-PNO calculations. Furthermore, slight PNO errors are obtained by using TPNO = TTNO with appropriate values of 10-7 to 10-8 for reactions and 10-8 for interaction or binding energies. The combination with the efficient MP2 focal-point approach yields chemical accuracy relative to the complete basis-set (CBS) limit. In this method, small basis sets (cc-pVDZ, def2-TZVP) for the CCSD(T) part are sufficient in case of reactions or interactions, while some larger ones (e.g., (aug)-cc-pVTZ) are necessary for molecular clusters. For these larger basis sets, we show the very high efficiency of our scheme. We obtain not only tremendous decreases of the wall times (i.e., factors >102) due to the parallelization of the increment calculations as well as of the total times due to the application of PNOs (i.e., compared to the normal incremental scheme) but also smaller total times with respect to the standard PNO method. That way, our new method features a perfect applicability by combining an excellent accuracy with a very high efficiency as well as the accessibility to larger systems due to the separation of the full computation into several small increments.
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Affiliation(s)
- Benjamin Fiedler
- Institut für Chemie, Technische Universität Chemnitz , 09111 Chemnitz, Germany
| | - Gunnar Schmitz
- Institut for Kemi, Aarhus Universitet , 8000 Aarhus C, Denmark
| | - Christof Hättig
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum , 44801 Bochum, Germany
| | - Joachim Friedrich
- Institut für Chemie, Technische Universität Chemnitz , 09111 Chemnitz, Germany
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10
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Schwilk M, Ma Q, Köppl C, Werner HJ. Scalable Electron Correlation Methods. 3. Efficient and Accurate Parallel Local Coupled Cluster with Pair Natural Orbitals (PNO-LCCSD). J Chem Theory Comput 2017; 13:3650-3675. [DOI: 10.1021/acs.jctc.7b00554] [Citation(s) in RCA: 100] [Impact Index Per Article: 14.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023]
Affiliation(s)
- Max Schwilk
- Institut für Theoretische
Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany
| | - Qianli Ma
- Institut für Theoretische
Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany
| | - 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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11
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Priya AM, Lakshmipathi S. Atmospheric fate of diketones and OH radical–kinetics, reaction force, ETS-NOCV analysis. Mol Phys 2017. [DOI: 10.1080/00268976.2017.1290840] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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12
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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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13
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Fiedler B, Coriani S, Friedrich J. Molecular Dipole Moments within the Incremental Scheme Using the Domain-Specific Basis-Set Approach. J Chem Theory Comput 2016; 12:3040-52. [PMID: 27300371 DOI: 10.1021/acs.jctc.6b00076] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
Abstract
We present the first implementation of the fully automated incremental scheme for CCSD unrelaxed dipole moments using the domain-specific basis-set approach. Truncation parameters are varied, and the accuracy of the method is statistically analyzed for a test set of 20 molecules. The local approximations introduce small errors at second order and negligible ones at third order. For a third-order incremental CCSD expansion with a CC2 error correction, a cc-pVDZ/SV domain-specific basis set (tmain = 3.5 Bohr), and the truncation parameter f = 30 Bohr, we obtain a mean error of 0.00 mau (-0.20 mau) and a standard deviation of 1.95 mau (2.17 mau) for the total dipole moments (Cartesian components of the dipole vectors). By analyzing incremental CCSD energies, we demonstrate that the MP2 and CC2 error correction schemes are an exclusive correction for the domain-specific basis-set error. Our implementation of the incremental scheme provides fully automated computations of highly accurate dipole moments at reduced computational cost and is fully parallelized in terms of the calculation of the increments. Therefore, one can utilize the incremental scheme, on the same hardware, to extend the basis set in comparison to standard CCSD and thus obtain a better total accuracy.
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Affiliation(s)
- Benjamin Fiedler
- Institute for Chemistry, Technische Universität Chemnitz , Straße der Nationen 62, D-09111 Chemnitz, Germany
| | - Sonia Coriani
- Dipartimento di Scienze Chimiche e Farmaceutiche, Università degli Studi di Trieste , Via L. Giorgieri 1, I-34127 Trieste, Italy.,Aarhus Institute of Advanced Studies, Aarhus University , Høegh-Guldbergs Gade 6B, DK-8000 Aarhus C, Denmark
| | - Joachim Friedrich
- Institute for Chemistry, Technische Universität Chemnitz , Straße der Nationen 62, D-09111 Chemnitz, Germany
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14
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Friedrich J, Fiedler B. Accurate calculation of binding energies for molecular clusters – Assessment of different models. Chem Phys 2016. [DOI: 10.1016/j.chemphys.2016.02.022] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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15
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Anacker T, Hill JG, Friedrich J. Optimized Basis Sets for the Environment in the Domain-Specific Basis Set Approach of the Incremental Scheme. J Phys Chem A 2016; 120:2443-58. [DOI: 10.1021/acs.jpca.6b01097] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Affiliation(s)
- Tony Anacker
- Department
of Theoretical Chemistry, Chemnitz University of Technology, Straße
der Nationen 62, D-09111 Chemnitz, Germany
| | - J. Grant Hill
- Department
of Chemistry, University of Sheffield, Sheffield S3 7HF, U.K
| | - Joachim Friedrich
- Department
of Theoretical Chemistry, Chemnitz University of Technology, Straße
der Nationen 62, D-09111 Chemnitz, Germany
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16
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Anacker T, Tew DP, Friedrich J. First UHF Implementation of the Incremental Scheme for Open-Shell Systems. J Chem Theory Comput 2015; 12:65-78. [PMID: 26605975 DOI: 10.1021/acs.jctc.5b00933] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
Abstract
The incremental scheme makes it possible to compute CCSD(T) correlation energies to high accuracy for large systems. We present the first extension of this fully automated black-box approach to open-shell systems using an Unrestricted Hartree-Fock (UHF) wave function, extending the efficient domain-specific basis set approach to handle open-shell references. We test our approach on a set of organic and metal organic structures and molecular clusters and demonstrate standard deviations from canonical CCSD(T) values of only 1.35 kJ/mol using a triple ζ basis set. We find that the incremental scheme is significantly more cost-effective than the canonical implementation even for relatively small systems and that the ease of parallelization makes it possible to perform high-level calculations on large systems in a few hours on inexpensive computers. We show that the approximations that make our approach widely applicable are significantly smaller than both the basis set incompleteness error and the intrinsic error of the CCSD(T) method, and we further demonstrate that incremental energies can be reliably used in extrapolation schemes to obtain near complete basis set limit CCSD(T) reaction energies for large systems.
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Affiliation(s)
- Tony Anacker
- Institute for Chemistry, Chemnitz University of Technology , Straße der Nationen 62, D-09111 Chemnitz, Sachsen, Germany
| | - David P Tew
- School of Chemistry, University of Bristol , Bristol BS8 1TS, United Kingdom
| | - Joachim Friedrich
- Institute for Chemistry, Chemnitz University of Technology , Straße der Nationen 62, D-09111 Chemnitz, Sachsen, Germany
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17
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Ma Q, Werner HJ. Scalable Electron Correlation Methods. 2. Parallel PNO-LMP2-F12 with Near Linear Scaling in the Molecular Size. J Chem Theory Comput 2015; 11:5291-304. [DOI: 10.1021/acs.jctc.5b00843] [Citation(s) in RCA: 57] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Qianli Ma
- Institut für Theoretische
Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Baden-Württemberg, Germany
| | - Hans-Joachim Werner
- Institut für Theoretische
Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Baden-Württemberg, Germany
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18
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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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19
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Anisimov VM, Bauer GH, Chadalavada K, Olson RM, Glenski JW, Kramer WTC, Aprà E, Kowalski K. Optimization of the Coupled Cluster Implementation in NWChem on Petascale Parallel Architectures. J Chem Theory Comput 2014; 10:4307-16. [DOI: 10.1021/ct500404c] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Victor M. Anisimov
- National
Center for Supercomputing Applications, University of Illinois at Urbana−Champaign, 1205 West Clark Street, MC-257, Urbana, Illinois 61801, United States
| | - Gregory H. Bauer
- National
Center for Supercomputing Applications, University of Illinois at Urbana−Champaign, 1205 West Clark Street, MC-257, Urbana, Illinois 61801, United States
| | - Kalyana Chadalavada
- National
Center for Supercomputing Applications, University of Illinois at Urbana−Champaign, 1205 West Clark Street, MC-257, Urbana, Illinois 61801, United States
| | - Ryan M. Olson
- Cray, Inc., 380 Jackson
Street, St.
Paul, Minnesota 55101, United States
| | - Joseph W. Glenski
- Cray, Inc., 380 Jackson
Street, St.
Paul, Minnesota 55101, United States
| | - William T. C. Kramer
- National
Center for Supercomputing Applications, University of Illinois at Urbana−Champaign, 1205 West Clark Street, MC-257, Urbana, Illinois 61801, United States
| | - Edoardo Aprà
- Environmental
Molecular Sciences Laboratory, Pacific Northwest National Laboratory, P.O. Box 999, K8-91, Richland, Washington 99352, United States
| | - Karol Kowalski
- Environmental
Molecular Sciences Laboratory, Pacific Northwest National Laboratory, P.O. Box 999, K8-91, Richland, Washington 99352, United States
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20
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Friedrich J, Hänchen J. Incremental CCSD(T)(F12*)|MP2: A Black Box Method To Obtain Highly Accurate Reaction Energies. J Chem Theory Comput 2013; 9:5381-94. [DOI: 10.1021/ct4008074] [Citation(s) in RCA: 67] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Joachim Friedrich
- Institute for Chemistry, Chemnitz University of Technology, Straße der Nationen 62, 09111 Chemnitz, Germany
| | - Julia Hänchen
- Institute for Chemistry, Chemnitz University of Technology, Straße der Nationen 62, 09111 Chemnitz, Germany
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21
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Zhang J, Dolg M. Third-Order Incremental Dual-Basis Set Zero-Buffer Approach: An Accurate and Efficient Way To Obtain CCSD and CCSD(T) Energies. J Chem Theory Comput 2013; 9:2992-3003. [DOI: 10.1021/ct400284d] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Jun Zhang
- Department of Chemistry, University of Cologne, Cologne, Germany
| | - Michael Dolg
- Department of Chemistry, University of Cologne, Cologne, Germany
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22
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Kristensen K, Kjærgaard T, Høyvik IM, Ettenhuber P, Jørgensen P, Jansik B, Reine S, Jakowski J. The divide–expand–consolidate MP2 scheme goes massively parallel. Mol Phys 2013. [DOI: 10.1080/00268976.2013.783941] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Affiliation(s)
- Kasper Kristensen
- a qLEAP – Center for Theoretical Chemistry, Department of Chemistry , Aarhus University , Langelandsgade 140, Aarhus C , 8000 , Denmark
| | - Thomas Kjærgaard
- a qLEAP – Center for Theoretical Chemistry, Department of Chemistry , Aarhus University , Langelandsgade 140, Aarhus C , 8000 , Denmark
| | - Ida-Marie Høyvik
- a qLEAP – Center for Theoretical Chemistry, Department of Chemistry , Aarhus University , Langelandsgade 140, Aarhus C , 8000 , Denmark
| | - Patrick Ettenhuber
- a qLEAP – Center for Theoretical Chemistry, Department of Chemistry , Aarhus University , Langelandsgade 140, Aarhus C , 8000 , Denmark
| | - Poul Jørgensen
- a qLEAP – Center for Theoretical Chemistry, Department of Chemistry , Aarhus University , Langelandsgade 140, Aarhus C , 8000 , Denmark
| | - Branislav Jansik
- b IT4Innovations , VSB – Technical University of Ostrava , 17. listopadu 15/2172, Ostrava , Czech Republic
| | - Simen Reine
- c Centre for Theoretical and Computational Chemistry, Department of Chemistry , Oslo University , Postbox 1033, Blindern, 0315, Oslo , Norway
| | - Jacek Jakowski
- d National Institute for Computational Sciences , JICS-ORNL , One Bethel Valley Road, Bldg. 5100 ms 6173, Oak Ridge , Tennessee , 37831 , USA
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23
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Anacker T, Friedrich J. Highly accurate incremental CCSD(T) calculations on aqua- and amine-complexes. Mol Phys 2013. [DOI: 10.1080/00268976.2013.781693] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Affiliation(s)
- Tony Anacker
- a Department of Theoretical Chemistry , Chemnitz University of Technology , Chemnitz , Germany
| | - Joachim Friedrich
- a Department of Theoretical Chemistry , Chemnitz University of Technology , Chemnitz , Germany
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24
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Friedrich J, Walczak K. Incremental CCSD(T)(F12)|MP2-F12—A Method to Obtain Highly Accurate CCSD(T) Energies for Large Molecules. J Chem Theory Comput 2012; 9:408-17. [DOI: 10.1021/ct300938w] [Citation(s) in RCA: 50] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Joachim Friedrich
- Institute for Chemistry, Chemnitz
University of Technology,
Strasse der Nationen 62, 09111 Chemnitz, Germany
| | - Katarzyna Walczak
- Institute for Chemistry, Chemnitz
University of Technology,
Strasse der Nationen 62, 09111 Chemnitz, Germany
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25
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Friedrich J. Incremental Scheme for Intermolecular Interactions: Benchmarking the Accuracy and the Efficiency. J Chem Theory Comput 2012; 8:1597-607. [DOI: 10.1021/ct200686h] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Joachim Friedrich
- Institute for Chemistry, Chemnitz University of Technology, Straße der Nationen 62, 09111 Chemnitz,
Germany
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26
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Helgaker T, Coriani S, Jørgensen P, Kristensen K, Olsen J, Ruud K. Recent Advances in Wave Function-Based Methods of Molecular-Property Calculations. Chem Rev 2012; 112:543-631. [DOI: 10.1021/cr2002239] [Citation(s) in RCA: 463] [Impact Index Per Article: 38.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Trygve Helgaker
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P.O. Box 1033 Blindern, N-0315 Oslo, Norway
| | - Sonia Coriani
- Dipartimento di Scienze Chimiche e Farmaceutiche, Università degli Studi di Trieste, Via Giorgieri 1, I-34127 Trieste, Italy
| | - Poul Jørgensen
- Lundbeck Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, 8000 Aarhus C, Denmark
| | - Kasper Kristensen
- Lundbeck Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, 8000 Aarhus C, Denmark
| | - Jeppe Olsen
- Lundbeck Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, 8000 Aarhus C, Denmark
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Tromsø, N-9037 Tromsø, Norway
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27
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Müller C, Paulus B. Wavefunction-based electron correlation methods for solids. Phys Chem Chem Phys 2012; 14:7605-14. [DOI: 10.1039/c2cp24020c] [Citation(s) in RCA: 75] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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28
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Kristensen K, Høyvik IM, Jansik B, Jørgensen P, Kjærgaard T, Reine S, Jakowski J. MP2 energy and density for large molecular systems with internal error control using the Divide-Expand-Consolidate scheme. Phys Chem Chem Phys 2012; 14:15706-14. [DOI: 10.1039/c2cp41958k] [Citation(s) in RCA: 49] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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29
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Local Approximations for an Efficient and Accurate Treatment of Electron Correlation and Electron Excitations in Molecules. CHALLENGES AND ADVANCES IN COMPUTATIONAL CHEMISTRY AND PHYSICS 2011. [DOI: 10.1007/978-90-481-2853-2_14] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
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30
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Korona T. The effect of local approximations on first-order properties from expectation-value coupled cluster theory. Theor Chem Acc 2010. [DOI: 10.1007/s00214-010-0872-x] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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31
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Walczak K, Friedrich J, Dolg M. Fully automated incremental evaluation of MP2 and CCSD(T) core, core-valence and valence correlation energies. Chem Phys 2010. [DOI: 10.1016/j.chemphys.2010.07.032] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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32
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Friedrich J, Hanrath M, Dolg M. Fully Automated Implementation of the Incremental Scheme for Correlation Energies. ACTA ACUST UNITED AC 2010. [DOI: 10.1524/zpch.2010.6121] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
Abstract
Abstract
The applicability and performance of a fully automated implementation of the incremental scheme for the evaluation of correlation contributions in wavefunction-based quantum chemical calculations on large molecules is briefly reviewed and a typical example from organic chemistry is discussed in more detail. The accuracy of relative energies is analyzed for various water hexamers at the CCSD(T)/aug-cc-pVDZ level. Furthermore the accuracy of the potential energy surface of octane is analyzed at the CCSD level of theory. Finally, CCSD(T)/aug-cc-pVTZ calculations with 1656 basis functions in C1 symmetry are reported for (H2O)18, where a full calculation is infeasible within reasonable time.
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Affiliation(s)
- Joachim Friedrich
- Universität Köln, Institut für Theoretische Chemie, Köln, Deutschland
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33
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Friedrich J. Localized Orbitals for Incremental Evaluations of the Correlation Energy within the Domain-Specific Basis Set Approach. J Chem Theory Comput 2010; 6:1834-42. [DOI: 10.1021/ct1000999] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Joachim Friedrich
- Institute for Theoretical Chemistry, University of Cologne, Greinstr. 4, 50939 Cologne, 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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