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Tang Z, Zhu H, Pan Z, Gao J, Zhang J. A many-body energy decomposition analysis (MB-EDA) scheme based on a target state optimization self-consistent field (TSO-SCF) method. Phys Chem Chem Phys 2024; 26:17549-17560. [PMID: 38884195 DOI: 10.1039/d4cp01259c] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/18/2024]
Abstract
In this paper, we combine an energy decomposition analysis (EDA) scheme with many-body expansion (MBE) to develop a MB-EDA method to study the cooperative and anti-cooperative effects in molecular cluster systems. Based on the target state optimization self-consistent field (TSO-SCF) method, the intermolecular interaction energy can be decomposed into five chemically meaningful terms, i.e., electrostatic, exchange, polarization, charge transfer and dispersion interaction energies. MB-EDA can decompose each of these terms in MBE. This MB-EDA has been applied to 3 different cluster systems: water clusters, ionic liquid clusters, and acetonitrile-methane clusters. This reveals that electrostatic, exchange, and dispersion interactions are highly pairwise additive in all systems. In water and ionic liquid clusters, the many-body effects are significant in both polarization and charge transfer interactions, but are cooperative and anti-cooperative, respectively. For acetonitrile-methane clusters, which do not involve hydrogen bonds or charge-charge Coulombic interactions, the many-body effects are quite small. The chemical origins of different many-body effects are deeply analyzed. The MB-EDA method has been implemented in Qbics (https://qbics.info) and can be a useful tool for understanding the many-body behavior in molecular aggregates at the quantum chemical level of theory.
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Affiliation(s)
- Zhen Tang
- Peking University Shenzhen Graduate School, Shenzhen, Guangdong 518055, People's Republic of China.
- Institute of Systems and Physical Biology, Shenzhen Bay Laboratory, Shenzhen, Guangdong 518055, People's Republic of China.
| | - Hong Zhu
- Peking University Shenzhen Graduate School, Shenzhen, Guangdong 518055, People's Republic of China.
- Institute of Systems and Physical Biology, Shenzhen Bay Laboratory, Shenzhen, Guangdong 518055, People's Republic of China.
| | - Zhijun Pan
- Institute of Systems and Physical Biology, Shenzhen Bay Laboratory, Shenzhen, Guangdong 518055, People's Republic of China.
| | - Jiali Gao
- Peking University Shenzhen Graduate School, Shenzhen, Guangdong 518055, People's Republic of China.
- Institute of Systems and Physical Biology, Shenzhen Bay Laboratory, Shenzhen, Guangdong 518055, People's Republic of China.
- Department of Chemistry and Supercomputing Institute, University of Minnesota, Minneapolis, MN 55455, USA
| | - Jun Zhang
- Institute of Systems and Physical Biology, Shenzhen Bay Laboratory, Shenzhen, Guangdong 518055, People's Republic of China.
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2
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Türkmen I, Dolg M. Linear Scaling Incremental Scheme for Correlation Energies with Embedding Generated Virtuals. J Chem Theory Comput 2024; 20:3154-3168. [PMID: 38588492 DOI: 10.1021/acs.jctc.3c01377] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/10/2024]
Abstract
A novel incremental scheme is presented including an incremental expansion of the virtual space for the calculation of electron correlation energies, which is compatible with any size-extensive correlation method and scales asymptotically linear for large molecules. The performance is studied for organic molecules, water clusters, and a La(III)-water complex, where the compatibility with pseudopotentials is also examined. The computational requirements are already reduced tremendously for medium-sized water clusters and hydrocarbons with respect to the canonical CCSD as well as the ordinary incremental scheme references. Correlation energies within chemical accuracy have been observed for all studied systems. The novelty of the method is that relatively small virtual spaces are used in combination with tuples of localized occupied spaces. The corresponding orthonormal occupied and virtual orbitals are obtained from QM/QM embedding calculations and can thus be used with standard quantum chemistry codes for correlation calculations. It is presented how relevant virtual spaces are selected and the correlation energies are linked in the new virtual space expansion.
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Affiliation(s)
- Ilyas Türkmen
- Institute for Theoretical Chemistry, University of Cologne, Greinstr. 4, D-50939 Cologne, Germany
| | - Michael Dolg
- Institute for Theoretical Chemistry, University of Cologne, Greinstr. 4, D-50939 Cologne, Germany
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3
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Verma P, Huntington L, Coons MP, Kawashima Y, Yamazaki T, Zaribafiyan A. Scaling up electronic structure calculations on quantum computers: The frozen natural orbital based method of increments. J Chem Phys 2021; 155:034110. [DOI: 10.1063/5.0054647] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023] Open
Affiliation(s)
- Prakash Verma
- 1QB Information Technologies (1QBit), 200-1285 W Pender St., Vancouver, British Columbia V6E 4B1, Canada
| | - Lee Huntington
- 1QB Information Technologies (1QBit), 200-1285 W Pender St., Vancouver, British Columbia V6E 4B1, Canada
| | - Marc P. Coons
- Dow, Core R&D, Chemical Science, 1776 Building, Midland, Michigan 48674, USA
| | - Yukio Kawashima
- 1QB Information Technologies (1QBit), 200-1285 W Pender St., Vancouver, British Columbia V6E 4B1, Canada
| | - Takeshi Yamazaki
- 1QB Information Technologies (1QBit), 200-1285 W Pender St., Vancouver, British Columbia V6E 4B1, Canada
| | - Arman Zaribafiyan
- 1QB Information Technologies (1QBit), 200-1285 W Pender St., Vancouver, British Columbia V6E 4B1, Canada
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4
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Shaw RA, Hill JG. A Linear-Scaling Method for Noncovalent Interactions: An Efficient Combination of Absolutely Localized Molecular Orbitals and a Local Random Phase Approximation Approach. J Chem Theory Comput 2019; 15:5352-5369. [PMID: 31465215 DOI: 10.1021/acs.jctc.9b00615] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
A novel method for the accurate and efficient calculation of interaction energies in weakly bound complexes composed of a large number of molecules is presented. The new ALMO+RPAd method circumvents the prohibitive scaling of coupled cluster singles and doubles while still providing similar accuracy across a diverse range of weakly bound chemical systems. Linear-scaling procedures for the Fock build are given utilizing absolutely localized molecular orbitals (ALMOs), resulting in the a priori exclusion of basis set superposition errors. A bespoke data structure and algorithm using density fitting are described, leading to linear scaling for the storage and computation of the two-electron integrals. Electron correlation is included through a new, linear-scaling pairwise local random phase approximation approach, including exchange interactions, and decomposed into purely dispersive excitations (RPAxd). Collectively, these allow meaningful decomposition of the interaction energy into physically distinct contributions: electrostatic, polarization, charge transfer, and dispersion. Comparison with symmetry-adapted perturbation theory shows good qualitative agreement. Tests on various dimers and the S66 benchmark set demonstrate results within 0.5 kcal mol-1 of coupled cluster singles and doubles results. On a large cluster of water molecules, we achieve calculations involving over 3500 orbital and 12,000 auxiliary basis functions in under 10 min on a single CPU core.
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Affiliation(s)
- Robert A Shaw
- Department of Chemistry , University of Sheffield , Sheffield S3 7HF , United Kingdom
| | - J Grant Hill
- Department of Chemistry , University of Sheffield , Sheffield S3 7HF , United Kingdom
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5
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Zimmerman PM, Rask AE. Evaluation of full valence correlation energies and gradients. J Chem Phys 2019; 150:244117. [PMID: 31255060 DOI: 10.1063/1.5100934] [Citation(s) in RCA: 24] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Complete-active-space self-consistent field (CASSCF) wave functions are central to understanding strongly correlated molecules as they capture the entirety of electronic interactions within a subset of the orbital space. The most interesting case for CASSCF is the full valence limit, where all bonding and an equal number of virtual orbitals are included in the active space, and no approximation is made in selecting the important valence orbitals or electrons. While conventional algorithms require exponential computational time to evaluate full valence CASSCF, this article shows that the method of increments can do the same with polynomial effort, in a new method denoted iCASSCF. The method of increments can also provide density matrices and other necessary ingredients for the construction of the nuclear gradient. These goals are met through a many-body expansion that breaks the problem into smaller pieces that are subsequently reassembled to form close approximations of conventional CAS results. Practical demonstrations on a number of medium-sized molecules, with up to 116 valence electrons correlated in 116 orbitals, show the power of this methodology.
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Affiliation(s)
- Paul M Zimmerman
- Department of Chemistry, University of Michigan, 930 N. University Ave., Ann Arbor, Michigan 48109, USA
| | - Alan E Rask
- Department of Chemistry, University of Michigan, 930 N. University Ave., Ann Arbor, Michigan 48109, USA
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6
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Røeggen I, Gao B. Combination of large and small basis sets in electronic structure calculations on large systems. J Chem Phys 2018; 148:134118. [DOI: 10.1063/1.5018148] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Inge Røeggen
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Tromsø—The Arctic University of Norway, N–9037 Tromsø, Norway
- Department of Physics and Technology, University of Tromsø—The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Bin Gao
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Tromsø—The Arctic University of Norway, N–9037 Tromsø, Norway
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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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8
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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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9
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Zimmerman PM. Strong correlation in incremental full configuration interaction. J Chem Phys 2017; 146:224104. [DOI: 10.1063/1.4985566] [Citation(s) in RCA: 42] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022] Open
Affiliation(s)
- Paul M. Zimmerman
- Department of Chemistry, University of Michigan, 930 N. University Ave., Ann Arbor, Michigan 48109, USA
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10
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Zimmerman PM. Singlet–Triplet Gaps through Incremental Full Configuration Interaction. J Phys Chem A 2017; 121:4712-4720. [DOI: 10.1021/acs.jpca.7b03998] [Citation(s) in RCA: 35] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Paul M. Zimmerman
- Department of Chemistry, University of Michigan 930 North University
Avenue, Ann Arbor, Michigan 48109, United States
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11
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12
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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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13
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Herrmann N, Heinz N, Dolg M, Cao X. Quantum chemical study of the autoxidation of ascorbate. J Comput Chem 2016; 37:1914-23. [DOI: 10.1002/jcc.24408] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/04/2016] [Revised: 04/25/2016] [Accepted: 04/26/2016] [Indexed: 12/14/2022]
Affiliation(s)
- Nils Herrmann
- Department of Chemistry; Institute for Theoretical Chemistry, University of Cologne; Greinstr. 4 Cologne 50939 Germany
| | - Norah Heinz
- Department of Chemistry; Institute for Theoretical Chemistry, University of Cologne; Greinstr. 4 Cologne 50939 Germany
| | - Michael Dolg
- Department of Chemistry; Institute for Theoretical Chemistry, University of Cologne; Greinstr. 4 Cologne 50939 Germany
| | - Xiaoyan Cao
- Department of Chemistry; Institute for Theoretical Chemistry, University of Cologne; Greinstr. 4 Cologne 50939 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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Zhang J, Dolg M. Third-Order Incremental Dual-Basis Set Zero-Buffer Approach for Large High-Spin Open-Shell Systems. J Chem Theory Comput 2016; 11:962-8. [PMID: 26579750 DOI: 10.1021/ct501052e] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/26/2023]
Abstract
The third-order incremental dual-basis set zero-buffer approach (inc3-db-B0) is an efficient, accurate, and black-box quantum chemical method for obtaining correlation energies of large systems, and it has been successfully applied to many real chemical problems. In this work, we extend this approach to high-spin open-shell systems. In the open-shell approach, we will first decompose the occupied orbitals of a system into several domains by a K-means clustering algorithm. The essential part is that we preserve the active (singly occupied) orbitals in all the calculations of the domain correlation energies. The duplicated contributions of the active orbitals to the correlation energy are subtracted from the incremental expansion. All techniques of truncating the virtual space such as the B0 approximation can be applied. This open-shell inc3-db-B0 approach is combined with the CCSD and CCSD(T) methods and applied to the computations of a singlet-triplet gap and an electron detachment process. Our approach exhibits an accuracy better than 0.6 kcal/mol or 0.3 eV compared with the standard implementation, while it saves a large amount of the computational time and can be efficiently parallelized.
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Affiliation(s)
- Jun Zhang
- Institute for Theoretical Chemistry, University of Cologne , Greinstraße 4, D-50939 Cologne, Germany
| | - Michael Dolg
- Institute for Theoretical Chemistry, University of Cologne , Greinstraße 4, D-50939 Cologne, Germany
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16
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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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17
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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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18
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Chmela J, Harding ME, Matioszek D, Anson CE, Breher F, Klopper W. Differential Many-Body Cooperativity in Electronic Spectra of Oligonuclear Transition-Metal Complexes. Chemphyschem 2015; 17:37-45. [DOI: 10.1002/cphc.201500626] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/31/2015] [Revised: 10/06/2015] [Indexed: 12/18/2022]
Affiliation(s)
- Jiří Chmela
- Institute of Physical Chemistry; Karlsruhe Institute of Technology (KIT); Fritz-Haber-Weg 2 76131 Karlsruhe Germany
| | - Michael E. Harding
- Institute of Nanotechnology; Karlsruhe Institute of Technology (KIT); Hermann-von-Helmholtz-Platz 1 76344 Eggenstein-Leopoldshafen Germany
| | - Dimitri Matioszek
- Institute of Inorganic Chemistry; Karlsruhe Institute of Technology (KIT); Engesserstraße 15 76131 Karlsruhe Germany
| | - Christopher E. Anson
- Institute of Inorganic Chemistry; Karlsruhe Institute of Technology (KIT); Engesserstraße 15 76131 Karlsruhe Germany
| | - Frank Breher
- Institute of Inorganic Chemistry; Karlsruhe Institute of Technology (KIT); Engesserstraße 15 76131 Karlsruhe Germany
| | - Wim Klopper
- Institute of Physical Chemistry; Karlsruhe Institute of Technology (KIT); Fritz-Haber-Weg 2 76131 Karlsruhe Germany
- Institute of Nanotechnology; Karlsruhe Institute of Technology (KIT); Hermann-von-Helmholtz-Platz 1 76344 Eggenstein-Leopoldshafen Germany
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19
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Friedrich J. Efficient Calculation of Accurate Reaction Energies—Assessment of Different Models in Electronic Structure Theory. J Chem Theory Comput 2015; 11:3596-609. [DOI: 10.1021/acs.jctc.5b00087] [Citation(s) in RCA: 28] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Joachim Friedrich
- Institute for Chemistry, Chemnitz University of Technology, Straße der Nationen
62, 09111 Chemnitz, Germany
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20
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Tanaka S, Mochizuki Y, Komeiji Y, Okiyama Y, Fukuzawa K. Electron-correlated fragment-molecular-orbital calculations for biomolecular and nano systems. Phys Chem Chem Phys 2015; 16:10310-44. [PMID: 24740821 DOI: 10.1039/c4cp00316k] [Citation(s) in RCA: 189] [Impact Index Per Article: 21.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Abstract
Recent developments in the fragment molecular orbital (FMO) method for theoretical formulation, implementation, and application to nano and biomolecular systems are reviewed. The FMO method has enabled ab initio quantum-mechanical calculations for large molecular systems such as protein-ligand complexes at a reasonable computational cost in a parallelized way. There have been a wealth of application outcomes from the FMO method in the fields of biochemistry, medicinal chemistry and nanotechnology, in which the electron correlation effects play vital roles. With the aid of the advances in high-performance computing, the FMO method promises larger, faster, and more accurate simulations of biomolecular and related systems, including the descriptions of dynamical behaviors in solvent environments. The current status and future prospects of the FMO scheme are addressed in these contexts.
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Affiliation(s)
- Shigenori Tanaka
- Graduate School of System Informatics, Kobe University, 1-1 Rokkodai, Nada-ku, Kobe 657-8501, Japan.
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21
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Vogiatzis KD, Klopper W, Friedrich J. Non-covalent Interactions of CO2 with Functional Groups of Metal–Organic Frameworks from a CCSD(T) Scheme Applicable to Large Systems. J Chem Theory Comput 2015; 11:1574-84. [DOI: 10.1021/ct5011888] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Affiliation(s)
- Konstantinos D. Vogiatzis
- Department
of Chemistry, University of Minnesota, 207 Pleasant Street Southeast, Minneapolis, Minnesota 55455-0431, United States
- Institute
of Physical Chemistry, Karlsruhe Institute of Technology, Fritz-Haber-Weg
2, D-76131 Karlsruhe, Germany
| | - Wim Klopper
- Institute
of Physical Chemistry, Karlsruhe Institute of Technology, Fritz-Haber-Weg
2, D-76131 Karlsruhe, Germany
| | - Joachim Friedrich
- Institute
of Chemistry, Chemnitz University of Technology, Strasse der Nationen 62, D-09111 Chemnitz, Germany
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22
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Friedrich J, McAlexander HR, Kumar A, Crawford TD. Incremental evaluation of coupled cluster dipole polarizabilities. Phys Chem Chem Phys 2015; 17:14284-96. [DOI: 10.1039/c4cp05076b] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
In this work we present the first implementation of the incremental scheme for coupled cluster linear-response frequency-dependent dipole polarizabilities.
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Affiliation(s)
- Joachim Friedrich
- Institute for Chemistry
- Chemnitz University of Technology
- 09111 Chemnitz
- Germany
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23
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Zhang J, Dolg M. ABCluster: the artificial bee colony algorithm for cluster global optimization. Phys Chem Chem Phys 2015; 17:24173-81. [DOI: 10.1039/c5cp04060d] [Citation(s) in RCA: 271] [Impact Index Per Article: 30.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Abstract
Global optimization of cluster geometries is of fundamental importance in chemistry and an interesting problem in applied mathematics. We apply a swarm-intelligence based heuristic algorithm, i.e. the artificial bee colony algorithm to solve this problem for various kinds of clusters.
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Affiliation(s)
- Jun Zhang
- Theoretical Chemistry
- University of Cologne
- 50939 Cologne
- Germany
| | - Michael Dolg
- Theoretical Chemistry
- University of Cologne
- 50939 Cologne
- Germany
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Cao X, Zhang J, Weissmann D, Dolg M, Chen X. Accurate quantum chemical modelling of the separation of Eu3+ from Am3+/Cm3+ by liquid–liquid extraction with Cyanex272. Phys Chem Chem Phys 2015. [DOI: 10.1039/c5cp03100a] [Citation(s) in RCA: 35] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The liquid–liquid extraction of Eu(iii) with Cyanex272 from aqueous solutions containing Eu(iii), Am(iii) and Cm(iii) is modeled with quantum chemical methods.
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Affiliation(s)
- Xiaoyan Cao
- Theoretical Chemistry
- University of Cologne
- 50939 Cologne
- Germany
| | - Jun Zhang
- Theoretical Chemistry
- University of Cologne
- 50939 Cologne
- Germany
| | | | - Michael Dolg
- Theoretical Chemistry
- University of Cologne
- 50939 Cologne
- Germany
| | - Xuebo Chen
- Department of Chemistry
- Beijing Normal University
- 100875 Beijing
- P. R. China
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25
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Heinz N, Zhang J, Dolg M. Actinoid(III) Hydration—First Principle Gibbs Energies of Hydration Using High Level Correlation Methods. J Chem Theory Comput 2014; 10:5593-8. [DOI: 10.1021/ct5007339] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Affiliation(s)
- Norah Heinz
- Institute for Theoretical
Chemistry, Universität zu Köln, Greinstraße 4, D-50939 Cologne, Germany
| | - Jun Zhang
- Institute for Theoretical
Chemistry, Universität zu Köln, Greinstraße 4, D-50939 Cologne, Germany
| | - Michael Dolg
- Institute for Theoretical
Chemistry, Universität zu Köln, Greinstraße 4, D-50939 Cologne, Germany
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26
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Zhang J, Dolg M. Dispersion Interaction Stabilizes Sterically Hindered Double Fullerenes. Chemistry 2014; 20:13909-12. [DOI: 10.1002/chem.201404106] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/24/2014] [Indexed: 11/10/2022]
Affiliation(s)
- Jun Zhang
- Institute for Theoretical Chemistry, University of Cologne, Address Greinstr. 4, 50939 Cologne
| | - Michael Dolg
- Institute for Theoretical Chemistry, University of Cologne, Address Greinstr. 4, 50939 Cologne
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27
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Zhang J, Heinz N, Dolg M. Understanding Lanthanoid(III) Hydration Structure and Kinetics by Insights from Energies and Wave functions. Inorg Chem 2014; 53:7700-8. [DOI: 10.1021/ic500991x] [Citation(s) in RCA: 71] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Affiliation(s)
- Jun Zhang
- Institute for Theoretical
Chemistry, University of Cologne, Greinstr. 4, D-50939 Cologne, Germany
| | - Norah Heinz
- Institute for Theoretical
Chemistry, University of Cologne, Greinstr. 4, D-50939 Cologne, Germany
| | - Michael Dolg
- Institute for Theoretical
Chemistry, University of Cologne, Greinstr. 4, D-50939 Cologne, Germany
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28
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Anacker T, Friedrich J. New accurate benchmark energies for large water clusters: DFT is better than expected. J Comput Chem 2014; 35:634-43. [PMID: 24482156 DOI: 10.1002/jcc.23539] [Citation(s) in RCA: 48] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/03/2013] [Revised: 01/03/2014] [Accepted: 01/09/2014] [Indexed: 11/05/2022]
Abstract
In this work, we use MP2 and coupled-cluster with single, double, and perturbative triple excitations [CCSD(T)] as well as their corresponding explicitly correlated (F12) counterparts to compute the interaction energies of water icosamers. The incremental scheme is used to compute benchmark energies at the CCSD(T)/CBS(45) and CCSD(T)(F12*)/cc-pVQZ-F12 level of theory. The four structures, dodecahedron, edge sharing, face sharing, and fused cubes, are part of the WATER27 test set and therefore, highly accurate interaction energies are required. All methods applied in this work lead to new benchmark energies for these four systems. To obtain these values, we carefully analyze the convergence of the interaction energies with respect to the basis set. Furthermore, we investigate the influence of the basis set superposition error and the core-valence correlation. The interaction energies are: dodecahedron -198.6 kcal/mol, edge sharing -209.7 kcal/mol, face sharing -208.0 kcal/mol, and fused cubes -208.0 kcal/mol. For water clusters, we recommend to use the PW6B95 density functional of Truhlar in combination with Grimme's dispersion correction (D3), as the mean absolute error is 0.9 and the root mean-squared deviation is only 1.4 kcal/mol.
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Affiliation(s)
- Tony Anacker
- Department of Theoretical Chemistry, Chemnitz University of Technology, Straße der Nationen 62, Chemnitz D-09111, Saxony, Germany
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29
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Dolg M. Approaching the complete basis set limit of CCSD(T) for large systems by the third-order incremental dual-basis set zero-buffer F12 method. J Chem Phys 2014; 140:044114. [DOI: 10.1063/1.4862826] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
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30
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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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