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Kathir RK, de Graaf C, Broer R, Havenith RWA. Reduced Common Molecular Orbital Basis for Nonorthogonal Configuration Interaction. J Chem Theory Comput 2020; 16:2941-2951. [PMID: 32279493 PMCID: PMC7222100 DOI: 10.1021/acs.jctc.9b01144] [Citation(s) in RCA: 19] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023]
Abstract
Electron and charge transfers are part of many vital processes in nature and technology. Ab initio descriptions of these processes provide useful insights that can be utilized for applications. A combination of the embedded cluster material model and nonorthogonal configuration interaction (NOCI), in which the cluster wave functions are expanded in many-electron basis functions (MEBFs) consisting of spin-adapted, antisymmetrized products of multiconfigurational wave functions of fragments (which are usually molecules) in the cluster, appears to provide a compromise between accuracy and calculation time. Additional advantages of this NOCI-Fragments approach are the chemically convenient interpretation of the wave function in terms of molecular states, and the direct accessibility of electronic coupling between diabatic states to describe energy and electron transfer processes. Bottlenecks in this method are the large number of two-electron integrals that have to be handled for the calculation of an electronic coupling matrix element and the enormous number of matrix elements over determinant pairs that have to be evaluated for the calculation of one matrix element between the MEBFs. We show here how we created a reduced common molecular orbital basis that is utilized to significantly reduce the number of two-electron integrals that need to be handled. The results obtained with this basis do not show any loss of accuracy in relevant quantities like electronic couplings and vertical excitation energies. We also show a significant reduction in computation time without loss in accuracy when matrix elements over determinant pairs with small weights are neglected in the NOCI. These improvements in the methodology render NOCI-Fragments to be also applicable to treat clusters of larger molecular systems with larger atomic basis sets and larger active spaces, as the computation time becomes dependent on the number of occupied orbitals and less dependent on the size of the active space.
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Affiliation(s)
- R K Kathir
- Theoretical Chemistry, Zernike Institute for Advanced Materials, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands
| | - Coen de Graaf
- Department of Physical and Inorganic Chemistry, Universitat Rovira i Virgili, C. Marcel·lı́ Domingo 1, 43007 Tarragona, Spain.,Theoretical Chemistry Group, Zernike Institute for Advanced Materials, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands.,ICREA, Passeig Lluı́s Companys 23, 08010 Barcelona, Spain
| | - Ria Broer
- Theoretical Chemistry Group, Zernike Institute for Advanced Materials, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands
| | - Remco W A Havenith
- Theoretical Chemistry Group, Zernike Institute for Advanced Materials, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands.,Stratingh Institute for Chemistry, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands.,Ghent Quantum Chemistry Group, Department of Inorganic and Physical Chemistry, Ghent University, 9000 Gent, Belgium
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Paldus J, Li X. PPP-VB Theory of π-Electron Systems: Electron Delocalization, Molecular Symmetry, and Resonance. Isr J Chem 2013. [DOI: 10.1002/ijch.199100040] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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Casolo S, Løvvik OM, Martinazzo R, Tantardini GF. Understanding adsorption of hydrogen atoms on graphene. J Chem Phys 2009; 130:054704. [DOI: 10.1063/1.3072333] [Citation(s) in RCA: 281] [Impact Index Per Article: 18.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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The electronic structure of the F2, Cl2, Br2 molecules: the description of charge-shift bonding within the generalized valence bond ansatz. Theor Chem Acc 2008. [DOI: 10.1007/s00214-008-0484-x] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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Cooper DL, Gerratt J, Raimondi M. Modern Valence Bond Theory. ADVANCES IN CHEMICAL PHYSICS 2007. [DOI: 10.1002/9780470142943.ch6] [Citation(s) in RCA: 89] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/11/2023]
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McWeeny R. Spiers Memorial Lecture. Quantum chemistry: the first seventy years. Faraday Discuss 2007; 135:13-30; discussion 125-49, 503-6. [PMID: 17328421 DOI: 10.1039/b615518a] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Present-day theoretical chemistry is rooted in Quantum Mechanics. The aim of the opening lecture is to trace the evolution of Quantum Chemistry from the Heitler-London paper of 1927 up to the end of the last century, emphasizing concepts rather than calculations. The importance of symmetry concepts became evident in the early years: one thinks of the necessary anti-symmetry of the wave function under electron permutations, the Pauli principle, the aufbau scheme, and the classification of spectroscopic states. But for chemists perhaps the key concept is embodied in the Hellmann-Feynman theorem, which provides a pictorial interpretation of chemical bonding in terms of classical electrostatic forces exerted on the nuclei by the electron distribution. Much of the lecture is concerned with various electron distribution functions--the electron density, the current density, the spin density, and other 'property densities'--and with their use in interpreting both molecular structure and molecular properties. Other topics touched upon include Response theory and propagators; Chemical groups in molecules and the group function approach; Atoms in molecules and Bader's theory; Electron correlation and the 'pair function'. Finally, some long-standing controversies, in particular the EPR paradox, are re-examined in the context of molecular dissociation. By admitting the concept of symmetry breaking, along with the use of the von Neumann-Dirac statistical ensemble, orthodox quantum mechanics can lead to a convincing picture of the dissociation mechanism.
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Affiliation(s)
- Roy McWeeny
- Dipt. di Chimica e Chimica Industriale, Università di Pisa, 35 Via Risorgimento, 56126 Pisa, Italy.
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Hiberty PC, Shaik S. A survey of recent developments in ab initio valence bond theory. J Comput Chem 2006; 28:137-51. [PMID: 17061241 DOI: 10.1002/jcc.20478] [Citation(s) in RCA: 76] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
Abstract
Starting from the 1980s and onwards, Valence Bond theory has been enjoying renaissance that is characterized by the development of a growing number of ab initio methods, and by many applications to chemical reactivity and to the central paradigms of chemistry. Owing the increase of computational power of modern computers and to significant advances in the methodology, valence bond theory begins to offer a sound and attractive alternative to Molecular Orbital theory. This review aims at summarizing the most important developments of ab initio valence bond methods during the last two or three decades, and is primarily devoted to a description of what the various methods can actually achieve within their specific scopes and limitations. Key available softwares are surveyed.
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Affiliation(s)
- Philippe C Hiberty
- Laboratoire de Chimie Physique, Groupe de Chimie Théorique, Université de Paris-Sud, 91405 Orsay Cédex, France.
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The Biorthogonal Valence Bond Method. ACTA ACUST UNITED AC 2002. [DOI: 10.1016/s1380-7323(02)80009-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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Bodo E, Gianturco F, Martinazzo R, Raimondi M. Possible reaction paths in the LiH+2 chemistry: a computational analysis of the interaction forces. Chem Phys 2001. [DOI: 10.1016/s0301-0104(01)00424-4] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Bianco R, Hynes JT. VB resonance theory in solution. I. Multistate formulation. J Chem Phys 1995. [DOI: 10.1063/1.468987] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Mo Y, Wu W, Zhang Q. Valence bond description for the ground state and several low-lying excited states of LiH. ACTA ACUST UNITED AC 1993. [DOI: 10.1016/0166-1280(93)87134-y] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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On the historical development of the valence bond method and the non-orthogonality problem. ACTA ACUST UNITED AC 1991. [DOI: 10.1016/0166-1280(91)90134-6] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Li X, Paldus J. Valence bond approach to the Pariser-Parr-Pople Hamiltonian and its application to simple π-electron systems. ACTA ACUST UNITED AC 1991. [DOI: 10.1016/0166-1280(91)90149-e] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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An efficient calculation of the weights of non-orthogonal determinantal functions from the decomposition of MO wavefunctions. ACTA ACUST UNITED AC 1989. [DOI: 10.1016/0166-1280(89)85091-2] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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Raimondi M, Gerratt J, Cooper DL. Ab initio valence-bond theory. PHYSICAL REVIEW. A, GENERAL PHYSICS 1986; 34:673. [PMID: 9897311 DOI: 10.1103/physreva.34.673] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Potential energy surfaces for the reaction of B+ (1S,3P) with H2 using spin-coupled VB theory. Chem Phys Lett 1986. [DOI: 10.1016/0009-2614(86)80616-9] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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