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Zielinski P, Black JA, Köhn A. Performance Tests of the Second-Order Approximate Internally Contracted Multireference Coupled-Cluster Singles and Doubles Method icMRCC2. J Chem Theory Comput 2023; 19:8671-8688. [PMID: 37991987 PMCID: PMC10720349 DOI: 10.1021/acs.jctc.3c00969] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/05/2023] [Revised: 11/03/2023] [Accepted: 11/06/2023] [Indexed: 11/24/2023]
Abstract
Benchmark results are presented for the second-order approximation of the internally contracted multireference coupled-cluster method with single and double excitations, icMRCC2 [Köhn, Bargholz, J. Chem. Phys. 2019, 151, 041106], which was designed as a multireference analogue of the single-reference second-order approximate coupled-cluster method CC2 [Christiansen, Koch, Jørgensen, Chem. Phys. Lett. 1995, 243, 409-418]. Vertical excitation energies of various small to medium-sized organic molecules are investigated based on established test sets from the literature. Additionally, the spectroscopic constants of ground and excited states of diatomics and the geometric parameters of excited triatomic molecules were determined and compared to the experimental data. The results show that the method clearly extends the applicability of single-reference CC2, including doubly excited states, and also artifacts of CC2 like too low Rydberg excitations and too weak multiple bonds are eliminated. The method is computationally more demanding than standard multireference second-order perturbation theories but improves significantly in accuracy, as shown by the benchmark results. In addition, it is demonstrated that small active spaces are often sufficient to obtain accurate energies with icMRCC2. Example applications like the automerization of cyclobutadiene, the deactivation pathway of ethylene, and the excited states of an iron complex with a noninnocent nitrosyl ligand demonstrate the potential of icMRCC2 in cases with strong multireference character.
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Affiliation(s)
- Patrik Zielinski
- Institute for Theoretical
Chemistry, University of Stuttgart, Paffenwaldring 55, Stuttgart D-70569, Germany
| | | | - Andreas Köhn
- Institute for Theoretical
Chemistry, University of Stuttgart, Paffenwaldring 55, Stuttgart D-70569, Germany
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2
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Ditte M, Barborini M, Medrano Sandonas L, Tkatchenko A. Molecules in Environments: Toward Systematic Quantum Embedding of Electrons and Drude Oscillators. PHYSICAL REVIEW LETTERS 2023; 131:228001. [PMID: 38101380 DOI: 10.1103/physrevlett.131.228001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/29/2023] [Revised: 07/26/2023] [Accepted: 10/20/2023] [Indexed: 12/17/2023]
Abstract
We develop a quantum embedding method that enables accurate and efficient treatment of interactions between molecules and an environment, while explicitly including many-body correlations. The molecule is composed of classical nuclei and quantum electrons, whereas the environment is modeled via charged quantum harmonic oscillators. We construct a general Hamiltonian and introduce a variational Ansatz for the correlated ground state of the fully interacting molecule-environment system. This wave function is optimized via the variational Monte Carlo method and the ground state energy is subsequently estimated through the diffusion Monte Carlo method. The proposed scheme allows an explicit many-body treatment of electrostatic, polarization, and dispersion interactions between the molecule and the environment. We study solvation energies and excitation energies of benzene derivatives, obtaining excellent agreement with explicit ab initio calculations and experiments.
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Affiliation(s)
- Matej Ditte
- Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg City, Luxembourg
| | - Matteo Barborini
- Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg City, Luxembourg
| | - Leonardo Medrano Sandonas
- Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg City, Luxembourg
| | - Alexandre Tkatchenko
- Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg City, Luxembourg
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3
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Opoku RA, Toubin C, Gomes ASP. Simulating core electron binding energies of halogenated species adsorbed on ice surfaces and in solution via relativistic quantum embedding calculations. Phys Chem Chem Phys 2022; 24:14390-14407. [PMID: 35647703 DOI: 10.1039/d1cp05836c] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
In this work, we investigate the effects of the environment on the X-ray photoelectron spectra of hydrogen chloride and chloride ions adsorbed on ice surfaces, as well as of chloride ions in water droplets. In our approach, we combine a density functional theory (DFT) description of the ice surface with that of halogen species using the recently developed relativistic core-valence separation equation of motion coupled cluster (CVS-EOM-IP-CCSD) via the frozen density embedding formalism (FDE), to determine the K and L1,2,3 edges of chlorine. Our calculations, which incorporate temperature effects through snapshots from classical molecular dynamics simulations, are shown to reproduce experimental trends in the change of the core binding energies of Cl- upon moving from a liquid (water droplets) to an interfacial (ice quasi-liquid layer) environment. Our simulations yield water valence band binding energies in good agreement with experiment, which vary little between the droplets and the ice surface. For halide core binding energies there is an overall trend for overestimating experimental values, though good agreement between theory and experiment is found for Cl- in water droplets and on ice. For HCl on the other hand there are significant discrepancies between experimental and calculated core binding energies when we consider structural models that maintain the H-Cl bond more or less intact. An analysis of models that allow for pre-dissociated and dissociated structures suggests that experimentally observed chemical shifts in binding energies between Cl- and HCl would require that H+ (in the form of H3O+) and Cl- are separated by roughly 4-6 Å.
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Affiliation(s)
- Richard A Opoku
- Univ. Lille, CNRS, UMR 8523 - PhLAM - Physique des Lasers Atomes et Molécules, F-59000 Lille, France.
| | - Céline Toubin
- Univ. Lille, CNRS, UMR 8523 - PhLAM - Physique des Lasers Atomes et Molécules, F-59000 Lille, France.
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4
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Abstract
Quantum embedding schemes are a promising way to extend multireference computations to large molecules with strong correlation effects localized on a small number of atoms. This work introduces a second-order active-space embedding theory [ASET(2)] which improves upon mean-field frozen embedding by treating fragment-environment interactions via an approximate canonical transformation. The canonical transformation employed in ASET(2) is formulated using the driven similarity renormalization group. The ASET(2) scheme is benchmarked on the N═N bond dissociation in pentyldiazene, the S0 to S1 excitation in 1-octene, and the interaction energy of the O2-benzene complex. The ASET(2) explicit treatment of fragment-environment interactions beyond the mean-field level generally improves the accuracy of embedded computations, and it becomes necessary to achieve an accurate description of excitation energies of 1-octene and the singlet-triplet gap of the O2-benzene complex.
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Affiliation(s)
- Nan He
- Department of Chemistry and Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, United States
| | - Chenyang Li
- Key Laboratory of Theoretical and Computational Photochemistry, Ministry of Education, College of Chemistry, Beijing Normal University, Beijing 100875, China
| | - Francesco A Evangelista
- Department of Chemistry and Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, United States
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5
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Waigum A, Black JA, Köhn A. A generalized hybrid scheme for multireference methods. J Chem Phys 2021; 155:204106. [PMID: 34852483 DOI: 10.1063/5.0067511] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A generalization of the hybrid scheme for multireference methods as recently put forward by Saitow and Yanai [J. Chem. Phys. 152, 114 111 (2020)] is presented. The hybrid methods are constructed by defining internal and external excitation spaces and evaluating these two subsets of excitations at different levels of theory. New hybrids that use the mix of internally contracted multireference coupled-cluster, unshifted multireference coupled electron pair, and multireference perturbation methods are derived and benchmarked. A new separation of the excitation space, which combines all singles and doubles excitations to the virtual orbitals into the external space, is also presented and tested. In general, the hybrid methods improve upon their non-hybrid parent method and offer a good compromise between computational complexity and numerical accuracy.
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Affiliation(s)
- A Waigum
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany
| | - J A Black
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany
| | - A Köhn
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany
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6
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Affiliation(s)
| | - A. Eugene DePrince
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, FL, USA
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7
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Parravicini V, Jagau TC. Embedded equation-of-motion coupled-cluster theory for electronic excitation, ionisation, electron attachment, and electronic resonances. Mol Phys 2021. [DOI: 10.1080/00268976.2021.1943029] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Valentina Parravicini
- Department of Chemistry, KU Leuven, Leuven, BelgiumThis article is dedicated to Professor John Stanton on the occasion of his 60th birthday
| | - Thomas-C. Jagau
- Department of Chemistry, KU Leuven, Leuven, BelgiumThis article is dedicated to Professor John Stanton on the occasion of his 60th birthday
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8
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Vitale E, Alavi A, Kats D. FCIQMC-Tailored Distinguishable Cluster Approach. J Chem Theory Comput 2020; 16:5621-5634. [PMID: 32786911 PMCID: PMC7482318 DOI: 10.1021/acs.jctc.0c00470] [Citation(s) in RCA: 18] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/08/2020] [Indexed: 11/28/2022]
Abstract
The tailored approach is applied to the distinguishable cluster method together with a stochastic FCI solver (FCIQMC). It is demonstrated that the new method is more accurate than the corresponding tailored coupled cluster and the pure distinguishable cluster methods. An F12 correction for tailored methods and FCIQMC is introduced, which drastically improves the basis set convergence. A new black-box approach to define the active space using the natural orbitals from the distinguishable cluster is evaluated and found to be a convenient alternative to the usual CASSCF approach.
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Affiliation(s)
- Eugenio Vitale
- Max Planck Institute for
Solid State Research, Heisenbergstrasse 1, 70569 Stuttgart, Germany
| | - Ali Alavi
- 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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9
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Høyvik IM. The spectrum of the atomic orbital overlap matrix and the locality of the virtual electronic density matrix. Mol Phys 2020. [DOI: 10.1080/00268976.2020.1765034] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- Ida-Marie Høyvik
- Department of Chemistry, The Norwegian University of Science and Technology, Trondheim, Norway
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10
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Haldar S, Dutta AK. A Multilayer Approach to the Equation of Motion Coupled-Cluster Method for the Electron Affinity. J Phys Chem A 2020; 124:3947-3962. [DOI: 10.1021/acs.jpca.0c01793] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023]
Affiliation(s)
- Soumi Haldar
- Department of Chemistry, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India
| | - Achintya Kumar Dutta
- Department of Chemistry, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India
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11
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Werner HJ, Knowles PJ, Manby FR, Black JA, Doll K, Heßelmann A, Kats D, Köhn A, Korona T, Kreplin DA, Ma Q, Miller TF, Mitrushchenkov A, Peterson KA, Polyak I, Rauhut G, Sibaev M. The Molpro quantum chemistry package. J Chem Phys 2020; 152:144107. [PMID: 32295355 DOI: 10.1063/5.0005081] [Citation(s) in RCA: 475] [Impact Index Per Article: 118.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
Abstract
Molpro is a general purpose quantum chemistry software package with a long development history. It was originally focused on accurate wavefunction calculations for small molecules but now has many additional distinctive capabilities that include, inter alia, local correlation approximations combined with explicit correlation, highly efficient implementations of single-reference correlation methods, robust and efficient multireference methods for large molecules, projection embedding, and anharmonic vibrational spectra. In addition to conventional input-file specification of calculations, Molpro calculations can now be specified and analyzed via a new graphical user interface and through a Python framework.
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Affiliation(s)
- Hans-Joachim Werner
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Peter J Knowles
- School of Chemistry, Cardiff University, Main Building, Park Place, Cardiff CF10 3AT, United Kingdom
| | - Frederick R Manby
- School of Chemistry, University of Bristol, Cantock's Close, Bristol BS8 1TS, United Kingdom
| | - Joshua A Black
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Klaus Doll
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Andreas Heßelmann
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Daniel Kats
- Max-Planck Institute for Solid State Research, Heisenbergstraße 1, 70569 Stuttgart, Germany
| | - Andreas Köhn
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Tatiana Korona
- Faculty of Chemistry, University of Warsaw, L. Pasteura 1 St., 02-093 Warsaw, Poland
| | - David A Kreplin
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Qianli Ma
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Thomas F Miller
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA
| | | | - Kirk A Peterson
- Department of Chemistry, Washington State University, Pullman, Washington 99164-4630, USA
| | - Iakov Polyak
- School of Chemistry, Cardiff University, Main Building, Park Place, Cardiff CF10 3AT, United Kingdom
| | - Guntram Rauhut
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - Marat Sibaev
- School of Chemistry, Cardiff University, Main Building, Park Place, Cardiff CF10 3AT, United Kingdom
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12
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He N, Evangelista FA. A zeroth-order active-space frozen-orbital embedding scheme for multireference calculations. J Chem Phys 2020; 152:094107. [PMID: 33480706 DOI: 10.1063/1.5142481] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022] Open
Abstract
Multireference computations of large-scale chemical systems are typically limited by the computational cost of quantum chemistry methods. In this work, we develop a zeroth-order active space embedding theory [ASET(0)], a simple and automatic approach for embedding any multireference dynamical correlation method based on a frozen-orbital treatment of the environment. ASET(0) is combined with the second-order multireference driven similarity renormalization group and tested on several benchmark problems, including the excitation energy of 1-octene and bond-breaking in ethane and pentyldiazene. Finally, we apply ASET(0) to study the singlet-triplet gap of p-benzyne and 9,10-anthracyne diradicals adsorbed on a NaCl surface. Our results show that despite its simplicity, ASET(0) is a powerful and sufficiently accurate embedding scheme applicable when the coupling between the fragment and the environment is in the weak to medium regime.
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Affiliation(s)
- Nan He
- Department of Chemistry, Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA
| | - Francesco A Evangelista
- Department of Chemistry, Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA
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13
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Graham DS, Wen X, Chulhai DV, Goodpaster JD. Robust, Accurate, and Efficient: Quantum Embedding Using the Huzinaga Level-Shift Projection Operator for Complex Systems. J Chem Theory Comput 2020; 16:2284-2295. [DOI: 10.1021/acs.jctc.9b01185] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Daniel S. Graham
- Department of Chemistry, University of Minnesota, 207 Pleasant St. SE, Minneapolis, Minnesota 55455, United States
| | - Xuelan Wen
- Department of Chemistry, University of Minnesota, 207 Pleasant St. SE, Minneapolis, Minnesota 55455, United States
| | - Dhabih V. Chulhai
- Department of Chemistry, University of Minnesota, 207 Pleasant St. SE, Minneapolis, Minnesota 55455, United States
| | - Jason D. Goodpaster
- Department of Chemistry, University of Minnesota, 207 Pleasant St. SE, Minneapolis, Minnesota 55455, United States
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14
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Jones LO, Mosquera MA, Schatz GC, Ratner MA. Embedding Methods for Quantum Chemistry: Applications from Materials to Life Sciences. J Am Chem Soc 2020; 142:3281-3295. [PMID: 31986877 DOI: 10.1021/jacs.9b10780] [Citation(s) in RCA: 58] [Impact Index Per Article: 14.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023]
Abstract
Quantum mechanical embedding methods hold the promise to transform not just the way calculations are performed, but to significantly reduce computational costs and improve scaling for macro-molecular systems containing hundreds if not thousands of atoms. The field of embedding has grown increasingly broad with many approaches of different intersecting flavors. In this perspective, we lay out the methods into two streams: QM:MM and QM:QM, showcasing the advantages and disadvantages of both. We provide a review of the literature, the underpinning theories including our contributions, and we highlight current applications with select examples spanning both materials and life sciences. We conclude with prospects and future outlook on embedding, and our view on the use of universal test case scenarios for cross-comparisons of the many available (and future) embedding theories.
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Affiliation(s)
- Leighton O Jones
- Department of Chemistry , Northwestern University , Evanston , Illinois 60208 , United States
| | - Martín A Mosquera
- Department of Chemistry , Northwestern University , Evanston , Illinois 60208 , United States
| | - George C Schatz
- Department of Chemistry , Northwestern University , Evanston , Illinois 60208 , United States
| | - Mark A Ratner
- Department of Chemistry , Northwestern University , Evanston , Illinois 60208 , United States
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15
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Baiardi A, Reiher M. The density matrix renormalization group in chemistry and molecular physics: Recent developments and new challenges. J Chem Phys 2020; 152:040903. [DOI: 10.1063/1.5129672] [Citation(s) in RCA: 85] [Impact Index Per Article: 21.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023] Open
Affiliation(s)
- Alberto Baiardi
- ETH Zürich, Laboratorium für Physikalische Chemie, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Markus Reiher
- ETH Zürich, Laboratorium für Physikalische Chemie, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
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16
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Miyagawa K, Kawakami T, Isobe H, Shoji M, Yamanaka S, Nakatani K, Okumura M, Nakajima T, Yamaguchi K. Domain-based local pair natural orbital CCSD(T) calculations of six different S1 structures of oxygen evolving complex of photosystem II. Proposal of multi-intermediate models for the S1 state. Chem Phys Lett 2019. [DOI: 10.1016/j.cplett.2019.136660] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023]
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17
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Fdez. Galván I, Vacher M, Alavi A, Angeli C, Aquilante F, Autschbach J, Bao JJ, Bokarev SI, Bogdanov NA, Carlson RK, Chibotaru LF, Creutzberg J, Dattani N, Delcey MG, Dong SS, Dreuw A, Freitag L, Frutos LM, Gagliardi L, Gendron F, Giussani A, González L, Grell G, Guo M, Hoyer CE, Johansson M, Keller S, Knecht S, Kovačević G, Källman E, Li Manni G, Lundberg M, Ma Y, Mai S, Malhado JP, Malmqvist PÅ, Marquetand P, Mewes SA, Norell J, Olivucci M, Oppel M, Phung QM, Pierloot K, Plasser F, Reiher M, Sand AM, Schapiro I, Sharma P, Stein CJ, Sørensen LK, Truhlar DG, Ugandi M, Ungur L, Valentini A, Vancoillie S, Veryazov V, Weser O, Wesołowski TA, Widmark PO, Wouters S, Zech A, Zobel JP, Lindh R. OpenMolcas: From Source Code to Insight. J Chem Theory Comput 2019; 15:5925-5964. [DOI: 10.1021/acs.jctc.9b00532] [Citation(s) in RCA: 399] [Impact Index Per Article: 79.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
Affiliation(s)
- Ignacio Fdez. Galván
- Department of Chemistry − Ångström Laboratory, Uppsala University, P.O. Box 538, SE-751 21 Uppsala, Sweden
- Department of Chemistry − BMC, Uppsala University, P.O. Box 576, SE-751 23 Uppsala, Sweden
| | - Morgane Vacher
- Department of Chemistry − Ångström Laboratory, Uppsala University, P.O. Box 538, SE-751 21 Uppsala, Sweden
| | - Ali Alavi
- Max Planck Institut für Festkörperforschung, Heisenbergstraße 1, 70569 Stuttgart, Germany
| | - Celestino Angeli
- Dipartimento di Scienze Chimiche e Farmaceutiche, Università di Ferrara, Via Luigi Borsari 46, 44121 Ferrara, Italy
| | - Francesco Aquilante
- Département de Chimie Physique, Université de Genève, 30 quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
| | - Jochen Autschbach
- Department of Chemistry, University at Buffalo, State University of New York, Buffalo, New York 14260-3000, United States
| | - Jie J. Bao
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Sergey I. Bokarev
- Institut für Physik, Universität Rostock, Albert-Einstein-Straße 23-24, 18059 Rostock, Germany
| | - Nikolay A. Bogdanov
- Max Planck Institut für Festkörperforschung, Heisenbergstraße 1, 70569 Stuttgart, Germany
| | - Rebecca K. Carlson
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Liviu F. Chibotaru
- Theory of Nanomaterials Group, University of Leuven, Celestijnenlaan 200F, Leuven 3001, Belgium
| | - Joel Creutzberg
- Department of Physics, AlbaNova University Center, Stockholm University, SE-106 91 Stockholm, Sweden
- Division of Theoretical Chemistry, Kemicentrum, Lund University, P.O. Box 124, SE-221 00 Lund, Sweden
| | - Nike Dattani
- Harvard Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, United States
| | - Mickaël G. Delcey
- Department of Chemistry − Ångström Laboratory, Uppsala University, P.O. Box 538, SE-751 21 Uppsala, Sweden
| | - Sijia S. Dong
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Andreas Dreuw
- Interdisciplinary Center for Scientific Computing, Heidelberg University, Im Neuenheimer Feld 205 A, 69120 Heidelberg, Germany
| | - Leon Freitag
- Laboratorium für Physikalische Chemie, ETH Zürich, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Luis Manuel Frutos
- Departamento de Química Analítica, Química Física e Ingeniería Química, and Instituto de Investigación Química “Andrés M. del Río”, Universidad de Alcalá, E-28871 Alcalá de Henares, Madrid, Spain
| | - Laura Gagliardi
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Frédéric Gendron
- Department of Chemistry, University at Buffalo, State University of New York, Buffalo, New York 14260-3000, United States
| | - Angelo Giussani
- Department of Chemistry, University College London, 20 Gordon Street, London WC1H 0AJ, United Kingdom
- Instituto de Ciencia Molecular, Universitat de València, Apartado 22085, ES-46071 Valencia, Spain
| | - Leticia González
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währinger Straße 17, 1090 Vienna, Austria
| | - Gilbert Grell
- Institut für Physik, Universität Rostock, Albert-Einstein-Straße 23-24, 18059 Rostock, Germany
| | - Meiyuan Guo
- Department of Chemistry − Ångström Laboratory, Uppsala University, P.O. Box 538, SE-751 21 Uppsala, Sweden
| | - Chad E. Hoyer
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Marcus Johansson
- Division of Theoretical Chemistry, Kemicentrum, Lund University, P.O. Box 124, SE-221 00 Lund, Sweden
| | - Sebastian Keller
- Laboratorium für Physikalische Chemie, ETH Zürich, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Stefan Knecht
- Laboratorium für Physikalische Chemie, ETH Zürich, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Goran Kovačević
- Division of Materials Physics, Ruđer Bošković Institute, P.O.B. 180, Bijenička 54, HR-10002 Zagreb, Croatia
| | - Erik Källman
- Department of Chemistry − Ångström Laboratory, Uppsala University, P.O. Box 538, SE-751 21 Uppsala, Sweden
| | - Giovanni Li Manni
- Max Planck Institut für Festkörperforschung, Heisenbergstraße 1, 70569 Stuttgart, Germany
| | - Marcus Lundberg
- Department of Chemistry − Ångström Laboratory, Uppsala University, P.O. Box 538, SE-751 21 Uppsala, Sweden
| | - Yingjin Ma
- Laboratorium für Physikalische Chemie, ETH Zürich, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Sebastian Mai
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währinger Straße 17, 1090 Vienna, Austria
| | - João Pedro Malhado
- Department of Chemistry, Imperial College London, London SW7 2AZ, United Kingdom
| | - Per Åke Malmqvist
- Division of Theoretical Chemistry, Kemicentrum, Lund University, P.O. Box 124, SE-221 00 Lund, Sweden
| | - Philipp Marquetand
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währinger Straße 17, 1090 Vienna, Austria
| | - Stefanie A. Mewes
- Interdisciplinary Center for Scientific Computing, Heidelberg University, Im Neuenheimer Feld 205 A, 69120 Heidelberg, Germany
- Centre for Theoretical Chemistry and Physics, The New Zealand Institute for Advanced Study (NZIAS), Massey University Albany, Private Bag
102904, Auckland 0632, New Zealand
| | - Jesper Norell
- Department of Physics, AlbaNova University Center, Stockholm University, SE-106 91 Stockholm, Sweden
| | - Massimo Olivucci
- Department of Biotechnology, Chemistry and Pharmacy, University of Siena, via A. Moro 2, 53100 Siena, Italy
- Department of Chemistry, Bowling Green State University, Bowling Green, Ohio 43403, United States
- USIAS and Institut de Physique et Chimie des Matériaux de Strasbourg, Université de Strasbourg-CNRS, 67034 Strasbourg, France
| | - Markus Oppel
- Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währinger Straße 17, 1090 Vienna, Austria
| | - Quan Manh Phung
- Department of Chemistry, KU Leuven, Celestijnenlaan 200F, Leuven 3001, Belgium
| | - Kristine Pierloot
- Department of Chemistry, KU Leuven, Celestijnenlaan 200F, Leuven 3001, Belgium
| | - Felix Plasser
- Department of Chemistry, Loughborough University, Loughborough LE11 3TU, United Kingdom
| | - Markus Reiher
- Laboratorium für Physikalische Chemie, ETH Zürich, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Andrew M. Sand
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Igor Schapiro
- Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem, Israel
| | - Prachi Sharma
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Christopher J. Stein
- Laboratorium für Physikalische Chemie, ETH Zürich, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Lasse Kragh Sørensen
- Department of Chemistry − Ångström Laboratory, Uppsala University, P.O. Box 538, SE-751 21 Uppsala, Sweden
| | - Donald G. Truhlar
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Mihkel Ugandi
- Department of Chemistry − Ångström Laboratory, Uppsala University, P.O. Box 538, SE-751 21 Uppsala, Sweden
| | - Liviu Ungur
- Department of Chemistry, National University of Singapore, 117543 Singapore
| | - Alessio Valentini
- Theoretical Physical Chemistry, Research Unit MolSys, Allée du 6 Août, 11, 4000 Liège, Belgium
| | - Steven Vancoillie
- Division of Theoretical Chemistry, Kemicentrum, Lund University, P.O. Box 124, SE-221 00 Lund, Sweden
| | - Valera Veryazov
- Division of Theoretical Chemistry, Kemicentrum, Lund University, P.O. Box 124, SE-221 00 Lund, Sweden
| | - Oskar Weser
- Max Planck Institut für Festkörperforschung, Heisenbergstraße 1, 70569 Stuttgart, Germany
| | - Tomasz A. Wesołowski
- Département de Chimie Physique, Université de Genève, 30 quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
| | - Per-Olof Widmark
- Division of Theoretical Chemistry, Kemicentrum, Lund University, P.O. Box 124, SE-221 00 Lund, Sweden
| | - Sebastian Wouters
- Brantsandpatents, Pauline van Pottelsberghelaan 24, 9051 Sint-Denijs-Westrem, Belgium
| | - Alexander Zech
- Département de Chimie Physique, Université de Genève, 30 quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
| | - J. Patrick Zobel
- Division of Theoretical Chemistry, Kemicentrum, Lund University, P.O. Box 124, SE-221 00 Lund, Sweden
| | - Roland Lindh
- Department of Chemistry − BMC, Uppsala University, P.O. Box 576, SE-751 23 Uppsala, Sweden
- Uppsala Center for Computational Chemistry (UC3), Uppsala University, P.O. Box 596, SE-751 24 Uppsala, Sweden
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18
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Affiliation(s)
- Ida-Marie Høyvik
- Department of Chemistry, The Norwegian University of Science and Technology, Trondheim, Norway
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19
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Black JA, Köhn A. Linear and quadratic internally contracted multireference coupled-cluster approximations. J Chem Phys 2019; 150:194107. [DOI: 10.1063/1.5095070] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Joshua A. Black
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany
| | - Andreas Köhn
- Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany
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20
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Haldar S, Riplinger C, Demoulin B, Neese F, Izsak R, Dutta AK. Multilayer Approach to the IP-EOM-DLPNO-CCSD Method: Theory, Implementation, and Application. J Chem Theory Comput 2019; 15:2265-2277. [DOI: 10.1021/acs.jctc.8b01263] [Citation(s) in RCA: 17] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Soumi Haldar
- Department of Chemistry, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India
| | | | - Baptiste Demoulin
- Max-Planck-Institut
für Kohlenforschung, 1 Kaiser-Wilhelm Platz, Mülheim an der Ruhr 45470, Germany
| | - Frank Neese
- Max-Planck-Institut
für Kohlenforschung, 1 Kaiser-Wilhelm Platz, Mülheim an der Ruhr 45470, Germany
| | - Robert Izsak
- Max-Planck-Institut
für Kohlenforschung, 1 Kaiser-Wilhelm Platz, Mülheim an der Ruhr 45470, Germany
| | - Achintya Kumar Dutta
- Department of Chemistry, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India
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21
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Lang J, Brabec J, Saitow M, Pittner J, Neese F, Demel O. Perturbative triples correction to domain-based local pair natural orbital variants of Mukherjee's state specific coupled cluster method. Phys Chem Chem Phys 2019; 21:5022-5038. [PMID: 30762044 DOI: 10.1039/c8cp03577f] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
In this article we report an implementation of the perturbative triples correction to Mukherjee's state-specific multireference coupled cluster method based on the domain-based pair natural orbital approach (DLPNO-MkCC). We tested the performance of DLPNO-MkCCSD(T) in calculations involving tetramethyleneethane and isomers of naphthynes. These tests show that more than 97% of triples energy was recovered with respect to the canonical MkCCSD(T) method, which together with the DLPNO-MkCCSD part accounts for about 99.70-99.85% of the total correlation energy. The applicability of the method was demonstrated on calculations of singlet-triplet gaps for several large systems: triangulene, dynemicin A, and a beryllium complex.
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Affiliation(s)
- Jakub Lang
- J. Heyrovský Institute of Physical Chemistry, v.v.i., Academy of Sciences of the Czech Republic, Dolejškova 3, 18223 Prague 8, Czech Republic.
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22
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Vogiatzis KD, Polynski MV, Kirkland JK, Townsend J, Hashemi A, Liu C, Pidko EA. Computational Approach to Molecular Catalysis by 3d Transition Metals: Challenges and Opportunities. Chem Rev 2019; 119:2453-2523. [PMID: 30376310 PMCID: PMC6396130 DOI: 10.1021/acs.chemrev.8b00361] [Citation(s) in RCA: 214] [Impact Index Per Article: 42.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/07/2018] [Indexed: 12/28/2022]
Abstract
Computational chemistry provides a versatile toolbox for studying mechanistic details of catalytic reactions and holds promise to deliver practical strategies to enable the rational in silico catalyst design. The versatile reactivity and nontrivial electronic structure effects, common for systems based on 3d transition metals, introduce additional complexity that may represent a particular challenge to the standard computational strategies. In this review, we discuss the challenges and capabilities of modern electronic structure methods for studying the reaction mechanisms promoted by 3d transition metal molecular catalysts. Particular focus will be placed on the ways of addressing the multiconfigurational problem in electronic structure calculations and the role of expert bias in the practical utilization of the available methods. The development of density functionals designed to address transition metals is also discussed. Special emphasis is placed on the methods that account for solvation effects and the multicomponent nature of practical catalytic systems. This is followed by an overview of recent computational studies addressing the mechanistic complexity of catalytic processes by molecular catalysts based on 3d metals. Cases that involve noninnocent ligands, multicomponent reaction systems, metal-ligand and metal-metal cooperativity, as well as modeling complex catalytic systems such as metal-organic frameworks are presented. Conventionally, computational studies on catalytic mechanisms are heavily dependent on the chemical intuition and expert input of the researcher. Recent developments in advanced automated methods for reaction path analysis hold promise for eliminating such human-bias from computational catalysis studies. A brief overview of these approaches is presented in the final section of the review. The paper is closed with general concluding remarks.
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Affiliation(s)
| | | | - Justin K. Kirkland
- Department
of Chemistry, University of Tennessee, Knoxville, Tennessee 37996, United States
| | - Jacob Townsend
- Department
of Chemistry, University of Tennessee, Knoxville, Tennessee 37996, United States
| | - Ali Hashemi
- Inorganic
Systems Engineering group, Department of Chemical Engineering, Delft University of Technology, Van der Maasweg 9, 2629 HZ Delft, The Netherlands
| | - Chong Liu
- Inorganic
Systems Engineering group, Department of Chemical Engineering, Delft University of Technology, Van der Maasweg 9, 2629 HZ Delft, The Netherlands
| | - Evgeny A. Pidko
- TheoMAT
group, ITMO University, Lomonosova 9, St. Petersburg 191002, Russia
- Inorganic
Systems Engineering group, Department of Chemical Engineering, Delft University of Technology, Van der Maasweg 9, 2629 HZ Delft, The Netherlands
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23
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Abstract
At zero temperature, coupled cluster theories are widely used to predict total energies, ground state expectation values, and even excited states for molecules and extended systems. However, for systems with a small band gap, such as metals, the zero-temperature approximation does not necessarily hold. Thermal effects may even give rise to interesting chemistry on metal surfaces. Most approaches to temperature dependent electronic properties employ finite temperature perturbation theory in the Matsubara frequency formulation. Computations require a large number of Matsubara frequencies to yield sufficiently accurate results, especially at low temperatures. This work, and independently the work of White and Chan J. Chem. Theory Comput. 2018 , DOI: 10.1021/acs.jctc.8b00773 , proposes a coupled cluster implementation directly in the imaginary time domain on the compact interval [0, β], closely related to the thermal cluster cumulant approach of Sanyal et al. [ Chem. Phys. Lett. 1992 , 192 , 55 - 61 ] , Sanyal et al. [ Phys. Rev. E 1993 , 48 , 3373 - 3389 ], and Mandal et al. [ Int. J. Mod. Phys. B 2003 , 17 , 5367 - 5377 ]. Here, the arising imaginary time dependent coupled cluster amplitude integral equations are solved in the linearized direct ring doubles approximation, also referred to as Tamm-Dancoff approximation with second order (linearized) screened exchange. In this framework, the transition from finite to zero temperature is uniform and comes at no extra costs, allowing to go to temperatures as low as room temperature. In this approximation, correlation grand potentials are calculated over a wide range of temperatures for solid lithium, a metallic system, and for solid silicon, a semiconductor.
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Affiliation(s)
- Felix Hummel
- Institute for Theoretical Physics , TU Wien , Wiedner Hauptstraße 8-10/136 , 1040 Vienna , Austria
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24
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Hallmen PP, Rauhut G, Stoll H, Mitrushchenkov AO, van Slageren J. Crystal Field Splittings in Lanthanide Complexes: Inclusion of Correlation Effects beyond Second Order Perturbation Theory. J Chem Theory Comput 2018; 14:3998-4009. [PMID: 29906105 DOI: 10.1021/acs.jctc.8b00184] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023]
Abstract
State-averaged complete active space self-consistent field (CASSCF) calculations and a subsequent spin-orbit calculation mixing the CASSCF wave functions (CASSCF/state-interaction with spin-orbit coupling) is the conventional approach used for ab initio calculations of crystal-field splittings and magnetic properties of lanthanide complexes. However, this approach neglects dynamical correlation. Complete active space second-order perturbation theory (CASPT2) can be used to account for dynamical correlation but suffers from the well-known problems of multireference perturbation theory, e.g., intruder state problems. Variational multireference configuration interaction (MRCI) calculations do not show these problems but are usually not feasible due to the large size of real lanthanide complexes. Here, we present a quasi-local projected internally contracted MRCI approach which makes MRCI calculations of lanthanide complexes feasible and allows assessing the influence of dynamical correlation beyond second-order perturbation theory. We apply the method to two well-studied molecules, namely, [Er{N(SiMe3)2}3] and {C(NH2)3}5[Er(CO3)4]·11H2O.
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Affiliation(s)
- P P Hallmen
- Institute of Physical Chemistry , University of Stuttgart , Pfaffenwaldring 55 , 70569 Stuttgart , Germany.,Institute of Theoretical Chemistry , University of Stuttgart , Pfaffenwaldring 55 , 70569 Stuttgart , Germany
| | - G Rauhut
- Institute of Theoretical Chemistry , University of Stuttgart , Pfaffenwaldring 55 , 70569 Stuttgart , Germany
| | - H Stoll
- Institute of Theoretical Chemistry , University of Stuttgart , Pfaffenwaldring 55 , 70569 Stuttgart , Germany
| | - A O Mitrushchenkov
- Laboratoire de Modélisation et Simulation Multi Echelle , Université Paris-Est , MSME UMR 8208, 5 bd Descartes , 77454 Marne-la-Vallée , France
| | - J van Slageren
- Institute of Physical Chemistry , University of Stuttgart , Pfaffenwaldring 55 , 70569 Stuttgart , Germany
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25
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Evangelista FA. Perspective: Multireference coupled cluster theories of dynamical electron correlation. J Chem Phys 2018; 149:030901. [DOI: 10.1063/1.5039496] [Citation(s) in RCA: 69] [Impact Index Per Article: 11.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023] Open
Affiliation(s)
- Francesco A. Evangelista
- Department of Chemistry and Cherry L. Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, USA
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