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Nakai H, Seino J, Nakamura K. Bond Energy Density Analysis Combined with Informatics Technique. J Phys Chem A 2019; 123:7777-7784. [DOI: 10.1021/acs.jpca.9b04030] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Hiromi Nakai
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, Tokyo 169-8555, Japan
- Waseda Research Institute for Science and Engineering, Waseda University, Tokyo 169-8555, Japan
- ESICB, Kyoto University, Kyotodaigaku-Katsura, Nishigyoku, Kyoto 615-8520, Japan
| | - Junji Seino
- Waseda Research Institute for Science and Engineering, Waseda University, Tokyo 169-8555, Japan
- PRESTO, Japan Science and Technology Agency, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan
| | - Kairi Nakamura
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, Tokyo 169-8555, Japan
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Abstract
The energy change per electron in a chemical or physical transformation, ΔE/n, may be expressed as Δχ̅ + Δ(VNN + ω)/n, where Δχ̅ is the average electron binding energy, a generalized electronegativity, ΔVNN is the change in nuclear repulsions, and Δω is the change in multielectron interactions in the process considered. The last term can be obtained by the difference from experimental or theoretical estimates of the first terms. Previously obtained consequences of this energy partitioning are extended here to a different analysis of bonding in a great variety of diatomics, including more or less polar ones. Arguments are presented for associating the average change in electron binding energy with covalence, and the change in multielectron interactions with electron transfer, either to, out, or within a molecule. A new descriptor Q, essentially the scaled difference between the Δχ̅ and Δ(VNN + ω)/n terms, when plotted versus the bond energy, separates nicely a wide variety of bonding types, covalent, covalent but more correlated, polar and increasingly ionic, metallogenic, electrostatic, charge-shift bonds, and dispersion interactions. Also, Q itself shows a set of interesting relations with the correlation energy of a bond.
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Affiliation(s)
- Martin Rahm
- Chemistry and Chemical Biology, Baker Laboratory, Cornell University , Ithaca, New York 14853, United States
| | - Roald Hoffmann
- Chemistry and Chemical Biology, Baker Laboratory, Cornell University , Ithaca, New York 14853, United States
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Rahm M, Hoffmann R. Toward an Experimental Quantum Chemistry: Exploring a New Energy Partitioning. J Am Chem Soc 2015; 137:10282-91. [PMID: 26193123 DOI: 10.1021/jacs.5b05600] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Following the work of L. C. Allen, this work begins by relating the central chemical concept of electronegativity with the average binding energy of electrons in a system. The average electron binding energy, χ̅, is in principle accessible from experiment, through photoelectron and X-ray spectroscopy. It can also be estimated theoretically. χ̅ has a rigorous and understandable connection to the total energy. That connection defines a new kind of energy decomposition scheme. The changing total energy in a reaction has three primary contributions to it: the average electron binding energy, the nuclear-nuclear repulsion, and multielectron interactions. This partitioning allows one to gain insight into the predominant factors behind a particular energetic preference. We can conclude whether an energy change in a transformation is favored or resisted by collective changes to the binding energy of electrons, the movement of nuclei, or multielectron interactions. For example, in the classical formation of H2 from atoms, orbital interactions dominate nearly canceling nuclear-nuclear repulsion and two-electron interactions. While in electron attachment to an H atom, the multielectron interactions drive the reaction. Looking at the balance of average electron binding energy, multielectron, and nuclear-nuclear contributions one can judge when more traditional electronegativity arguments can be justifiably invoked in the rationalization of a particular chemical event.
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Affiliation(s)
- Martin Rahm
- Chemistry and Chemical Biology, Baker Laboratory, Cornell University, Ithaca, New York 14853, United States
| | - Roald Hoffmann
- Chemistry and Chemical Biology, Baker Laboratory, Cornell University, Ithaca, New York 14853, United States
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Krishtal A, Vyboishchikov SF, Van Alsenoy C. A Hirshfeld Partitioning of the MP2 Correlation Energy: Method and Its Application to the Benzene Dimers. J Chem Theory Comput 2011; 7:2049-58. [DOI: 10.1021/ct200062j] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Alisa Krishtal
- Department of Chemistry, University of Antwerp, Universiteitsplein 1, B2610 Antwerp, Belgium
| | - Sergei F. Vyboishchikov
- Institut de Química Computacional, Campus de Montilivi, Universitat de Girona, 17071 Girona, Catalonia, Spain
| | - Christian Van Alsenoy
- Department of Chemistry, University of Antwerp, Universiteitsplein 1, B2610 Antwerp, Belgium
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Gutsulyak DV, Kuzmina LG, Howard JAK, Vyboishchikov SF, Nikonov GI. Cp(Pri2MeP)FeH2SiR3: Nonclassical Iron Silyl Dihydride. J Am Chem Soc 2008; 130:3732-3. [DOI: 10.1021/ja800983n] [Citation(s) in RCA: 93] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Dmitry V. Gutsulyak
- Chemistry Department, Brock University, 500 Glenridge Avenue, St. Catharines, ON, L2S 3A1, Canada, N. S. Kurnakov Institute of General and Inorganic Chemistry, 31 Leninskii Prospect, Moscow, 119991, Russia, Department of Chemistry, University of Durham, South Road, Durham, DH1 3LE, United Kingdom, and Institut de Química Computacional, Campus de Montilivi, Universitat de Girona, 17071 Girona, Catalonia, Spain
| | - Lyudmila G. Kuzmina
- Chemistry Department, Brock University, 500 Glenridge Avenue, St. Catharines, ON, L2S 3A1, Canada, N. S. Kurnakov Institute of General and Inorganic Chemistry, 31 Leninskii Prospect, Moscow, 119991, Russia, Department of Chemistry, University of Durham, South Road, Durham, DH1 3LE, United Kingdom, and Institut de Química Computacional, Campus de Montilivi, Universitat de Girona, 17071 Girona, Catalonia, Spain
| | - Judith A. K. Howard
- Chemistry Department, Brock University, 500 Glenridge Avenue, St. Catharines, ON, L2S 3A1, Canada, N. S. Kurnakov Institute of General and Inorganic Chemistry, 31 Leninskii Prospect, Moscow, 119991, Russia, Department of Chemistry, University of Durham, South Road, Durham, DH1 3LE, United Kingdom, and Institut de Química Computacional, Campus de Montilivi, Universitat de Girona, 17071 Girona, Catalonia, Spain
| | - Sergei F. Vyboishchikov
- Chemistry Department, Brock University, 500 Glenridge Avenue, St. Catharines, ON, L2S 3A1, Canada, N. S. Kurnakov Institute of General and Inorganic Chemistry, 31 Leninskii Prospect, Moscow, 119991, Russia, Department of Chemistry, University of Durham, South Road, Durham, DH1 3LE, United Kingdom, and Institut de Química Computacional, Campus de Montilivi, Universitat de Girona, 17071 Girona, Catalonia, Spain
| | - Georgii I. Nikonov
- Chemistry Department, Brock University, 500 Glenridge Avenue, St. Catharines, ON, L2S 3A1, Canada, N. S. Kurnakov Institute of General and Inorganic Chemistry, 31 Leninskii Prospect, Moscow, 119991, Russia, Department of Chemistry, University of Durham, South Road, Durham, DH1 3LE, United Kingdom, and Institut de Química Computacional, Campus de Montilivi, Universitat de Girona, 17071 Girona, Catalonia, Spain
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Kobayashi M, Imamura Y, Nakai H. Alternative linear-scaling methodology for the second-order Møller-Plesset perturbation calculation based on the divide-and-conquer method. J Chem Phys 2007; 127:074103. [PMID: 17718602 DOI: 10.1063/1.2761878] [Citation(s) in RCA: 114] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A new scheme for obtaining the approximate correlation energy in the divide-and-conquer (DC) method of Yang [Phys. Rev. Lett. 66, 1438 (1991)] is presented. In this method, the correlation energy of the total system is evaluated by summing up subsystem contributions, which are calculated from subsystem orbitals based on a scheme for partitioning the correlation energy. We applied this method to the second-order Moller-Plesset perturbation theory (MP2), which we call DC-MP2. Numerical assessment revealed that this scheme provides a reliable correlation energy with significantly less computational cost than the conventional MP2 calculation.
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Affiliation(s)
- Masato Kobayashi
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, Tokyo 169-8555, Japan
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Alcoba DR, Torre A, Lain L, Bochicchio RC. Energy decompositions according to physical space partitioning schemes: Treatments of the density cumulant. J Chem Phys 2007; 127:104110. [PMID: 17867740 DOI: 10.1063/1.2772855] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023] Open
Abstract
This article is a continuation of our previous paper on schemes of energy decompositions of molecular systems in the real space [D. R. Alcoba et al., J. Chem. Phys. 122, 074102 (2005)] now using correlated state functions. We study, according to physical arguments, the appropriate management of the density cumulant arising from the second-order reduced density matrix at correlated level, whose contributions can be assigned to one-center or to two-center terms in the energy partitioning. Our treatments are applied within two physical space partitioning schemes: the Bader partitioning into atomic basins and the fuzzy atom procedure. The results obtained in selected molecules are analyzed and discussed in detail.
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Affiliation(s)
- Diego R Alcoba
- Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina
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