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Mogi M, Ida T. Coulson–Fischer Wave Function on Self-consistent Field and Perturbation Correction. CHEM LETT 2023. [DOI: 10.1246/cl.220474] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/27/2023]
Affiliation(s)
- Masato Mogi
- Chemistry Course, Division of Material Chemistry, Graduate School of Natural Science and Technology, Kanazawa University, Kanazawa 920-1192, Japan
| | - Tomonori Ida
- Chemistry Course, Division of Material Chemistry, Graduate School of Natural Science and Technology, Kanazawa University, Kanazawa 920-1192, Japan
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2
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Montero-Campillo MM, Mó O, Alkorta I, Elguero J, Yáñez M. Disrupting bonding in azoles through beryllium bonds: Unexpected coordination patterns and acidity enhancement. J Chem Phys 2022; 156:194303. [PMID: 35597641 DOI: 10.1063/5.0089716] [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
Although triazoles and tetrazole are amphoteric and may behave as weak acids, the latter property can be hugely enhanced by beryllium bonds. To explain this phenomenon, the structure and bonding characteristics of the complexes between triazoles and tetrazoles with one and two molecules of BeF2 have been investigated through the use of high-level G4 ab initio calculations. The formation of the complexes between the N basic sites of the azoles and the Be center of the BeF2 molecule and the (BeF2)2 dimer leads to a significant bonding perturbation of both interacting subunits. The main consequence of these electron density rearrangements is the above-mentioned increase in the intrinsic acidity of the azole subunit, evolving from a typical nitrogen base to a very strong nitrogenous acid. This effect is particularly dramatic when the interaction involves the (BeF2)2 dimer, that is, a Lewis acid much stronger than the monomer. Although the azoles investigated have neighboring N-basic sites, their interaction with the (BeF2)2 dimer yields a monodentate complex. However, the deprotonated species becomes extra-stabilized because a second N-Be bond is formed, leading to a new five-membered ring, with the result that the azole-(BeF2)2 complexes investigated become stronger nitrogenous acids than oxyacids such as perchloric acid.
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Affiliation(s)
- M Merced Montero-Campillo
- Departamento de Química, Módulo 13, Facultad de Ciencias and Institute for Advanced Research in Chemical Sciences (IAdChem), Universidad Autónoma de Madrid, Madrid 28049, Spain
| | - Otilia Mó
- Departamento de Química, Módulo 13, Facultad de Ciencias and Institute for Advanced Research in Chemical Sciences (IAdChem), Universidad Autónoma de Madrid, Madrid 28049, Spain
| | - Ibon Alkorta
- Instituto de Química Médica (CSIC), Juan de la Cierva, 3, E-28006 Madrid, Spain
| | - José Elguero
- Instituto de Química Médica (CSIC), Juan de la Cierva, 3, E-28006 Madrid, Spain
| | - Manuel Yáñez
- Departamento de Química, Módulo 13, Facultad de Ciencias and Institute for Advanced Research in Chemical Sciences (IAdChem), Universidad Autónoma de Madrid, Madrid 28049, Spain
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Abstract
Kohn-Sham density functional theory with the available exchange-correlation functionals is less accurate for strongly correlated systems, which require a multiconfigurational description as a zero-order function, than for weakly correlated systems, and available functionals of the spin densities do not accurately predict energies for many strongly correlated systems when one uses multiconfigurational wave functions with spin symmetry. Furthermore, adding a correlation functional to a multiconfigurational reference energy can lead to double counting of electron correlation. Multiconfiguration pair-density functional theory (MC-PDFT) overcomes both obstacles, the second by calculating the quantum mechanical part of the electronic energy entirely by a functional, and the first by using a functional of the total density and the on-top pair density rather than the spin densities. This allows one to calculate the energy of strongly correlated systems efficiently with a pair-density functional and a suitable multiconfigurational reference function. This article reviews MC-PDFT and related background information.
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Affiliation(s)
- Prachi Sharma
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA;
| | - Jie J Bao
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA;
| | - Donald G Truhlar
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA;
| | - Laura Gagliardi
- Department of Chemistry, Pritzker School of Molecular Engineering, James Franck Institute, and Chicago Center for Theoretical Chemistry, The University of Chicago, Chicago, Illinois 60637, USA;
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4
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Fabrizio A, Briling KR, Girardier DD, Corminboeuf C. Learning on-top: Regressing the on-top pair density for real-space visualization of electron correlation. J Chem Phys 2020; 153:204111. [DOI: 10.1063/5.0033326] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/27/2023] Open
Affiliation(s)
- Alberto Fabrizio
- Laboratory for Computational Molecular Design, Institute of Chemical Sciences and Engineering, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
- National Centre for Computational Design and Discovery of Novel Materials (MARVEL), École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - Ksenia R. Briling
- Laboratory for Computational Molecular Design, Institute of Chemical Sciences and Engineering, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - David D. Girardier
- Laboratory for Computational Molecular Design, Institute of Chemical Sciences and Engineering, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - Clemence Corminboeuf
- Laboratory for Computational Molecular Design, Institute of Chemical Sciences and Engineering, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
- National Centre for Computational Design and Discovery of Novel Materials (MARVEL), École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
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5
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Hapka M, Pernal K, Gritsenko OV. Local Enhancement of Dynamic Correlation in Excited States: Fresh Perspective on Ionicity and Development of Correlation Density Functional Approximation Based on the On-Top Pair Density. J Phys Chem Lett 2020; 11:5883-5889. [PMID: 32589027 PMCID: PMC7467739 DOI: 10.1021/acs.jpclett.0c01616] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/25/2020] [Accepted: 06/26/2020] [Indexed: 06/11/2023]
Abstract
We discuss the interplay between the nondynamic and dynamic electron correlation in excited states from the perspective of the suppression of dynamic correlation (SDC) and enhancement of dynamic correlation (EDC) effects. We reveal that there exists a connection between the ionic character of a wave function and EDC. Following this finding we introduce a quantitative measure of ionicity based solely on local functions without referring to valence bond models. The ability to recognize both the SDC and EDC regions underlies the presented method, named CASΠDFT, combining complete active space (CAS) wave function and density functional theory (DFT) via the on-top pair density (Π) function. We extend this approach to excited states by devising an improved representation of the EDC effect in the correlation functional. The generalized CASΠDFT uses different DFT functionals for ground and excited states. Numerical demonstration for singlet π → π* excitations shows that CASΠDFT offers satisfactory accuracy at a fraction of the cost of the ab initio approaches.
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Affiliation(s)
- Michał Hapka
- Institute
of Physics, Lodz University of Technology, PL-90-924 Lodz, Poland
- Faculty
of Chemistry, University of Warsaw, 02-093 Warsaw, Poland
| | - Katarzyna Pernal
- Institute
of Physics, Lodz University of Technology, ul. Wolczanska 219, 90-924 Lodz, Poland
| | - Oleg V. Gritsenko
- Institute
of Physics, Lodz University of Technology, ul. Wolczanska 219, 90-924 Lodz, Poland
- Section
Theoretical Chemistry, VU University, NL-1081 HV Amsterdam, The Netherlands
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6
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Giner E, Scemama A, Loos PF, Toulouse J. A basis-set error correction based on density-functional theory for strongly correlated molecular systems. J Chem Phys 2020; 152:174104. [DOI: 10.1063/5.0002892] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Emmanuel Giner
- Laboratoire de Chimie Théorique (UMR 7616), Sorbonne Université, CNRS, Paris, France
| | - Anthony Scemama
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, Toulouse, France
| | - Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, Toulouse, France
| | - Julien Toulouse
- Laboratoire de Chimie Théorique (UMR 7616), Sorbonne Université, CNRS, Paris, France
- Institut Universitaire de France, Paris, France
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7
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Pernal K, Gritsenko OV. Embracing local suppression and enhancement of dynamic correlation effects in a CASΠDFT method for efficient description of excited states. Faraday Discuss 2020; 224:333-347. [DOI: 10.1039/d0fd00050g] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Abstract
In this work we show that the presence of covalent and ionic configurations in a wavefunction gives rise to spatial regions where the effects of suppression and enhancement of correlation energy, respectively, dominate.
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Affiliation(s)
- Katarzyna Pernal
- Institute of Physics
- Lodz University of Technology
- PL-90-924 Lodz
- Poland
| | - Oleg V. Gritsenko
- Institute of Physics
- Lodz University of Technology
- PL-90-924 Lodz
- Poland
- Section Theoretical Chemistry
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8
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Affiliation(s)
- Rebecca K. Carlson
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Donald G. Truhlar
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Laura Gagliardi
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
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Ferté A, Giner E, Toulouse J. Range-separated multideterminant density-functional theory with a short-range correlation functional of the on-top pair density. J Chem Phys 2019; 150:084103. [DOI: 10.1063/1.5082638] [Citation(s) in RCA: 27] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Anthony Ferté
- Laboratoire de Chimie Théorique (LCT), Sorbonne Université and CNRS, F-75005 Paris, France
| | - Emmanuel Giner
- Laboratoire de Chimie Théorique (LCT), Sorbonne Université and CNRS, F-75005 Paris, France
| | - Julien Toulouse
- Laboratoire de Chimie Théorique (LCT), Sorbonne Université and CNRS, F-75005 Paris, France
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Sharma P, Truhlar DG, Gagliardi L. Active Space Dependence in Multiconfiguration Pair-Density Functional Theory. J Chem Theory Comput 2018; 14:660-669. [DOI: 10.1021/acs.jctc.7b01052] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Prachi Sharma
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, Minneapolis, Minnesota 55455-0431, United States
| | - Donald G. Truhlar
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, Minneapolis, Minnesota 55455-0431, United States
| | - Laura Gagliardi
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, Minneapolis, Minnesota 55455-0431, United States
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11
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Sand AM, Hoyer CE, Sharkas K, Kidder KM, Lindh R, Truhlar DG, Gagliardi L. Analytic Gradients for Complete Active Space Pair-Density Functional Theory. J Chem Theory Comput 2017; 14:126-138. [DOI: 10.1021/acs.jctc.7b00967] [Citation(s) in RCA: 32] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Andrew M. Sand
- Department
of Chemistry, Chemical Theory Center, and the Minnesota Supercomputing
Institute, The University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Chad E. Hoyer
- Department
of Chemistry, Chemical Theory Center, and the Minnesota Supercomputing
Institute, The University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Kamal Sharkas
- Department
of Chemistry, Chemical Theory Center, and the Minnesota Supercomputing
Institute, The University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Katherine M. Kidder
- Department
of Chemistry, Chemical Theory Center, and the Minnesota Supercomputing
Institute, The University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Roland Lindh
- Department
of Chemistry−Ångström, The Theoretical Chemistry
Programme, Uppsala University, P.O. Box 518, SE-751 20 Uppsala, Sweden
| | - Donald G. Truhlar
- Department
of Chemistry, Chemical Theory Center, and the Minnesota Supercomputing
Institute, The University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Laura Gagliardi
- Department
of Chemistry, Chemical Theory Center, and the Minnesota Supercomputing
Institute, The University of Minnesota, Minneapolis, Minnesota 55455, United States
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