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Affiliation(s)
- Frank Weinhold
- Theoretical Chemistry and Department of Chemistry University of Wisconsin Madison Wisconsin 53706 USA
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Kyriakidou K, Karafiloglou P. Natural bond orbitals: Local sets showing minimal intra-pair correlations and minimal unpaired electron populations. COMPUT THEOR CHEM 2017. [DOI: 10.1016/j.comptc.2016.11.017] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Torre A, Alcoba DR, Lain L, Bochicchio RC. Relationships between Cumulant and Spin-Density Matrices: Application to the Decomposition of Spin. J Phys Chem A 2010; 114:2344-9. [DOI: 10.1021/jp9090848] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Alicia Torre
- Departamento de Química Física, Facultad de Ciencia y Tecnología, Universidad del País Vasco, Apdo. 644 E48080 Bilbao, Spain and Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428, Buenos Aires, Argentina
| | - Diego R. Alcoba
- Departamento de Química Física, Facultad de Ciencia y Tecnología, Universidad del País Vasco, Apdo. 644 E48080 Bilbao, Spain and Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428, Buenos Aires, Argentina
| | - Luis Lain
- Departamento de Química Física, Facultad de Ciencia y Tecnología, Universidad del País Vasco, Apdo. 644 E48080 Bilbao, Spain and Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428, Buenos Aires, Argentina
| | - Roberto C. Bochicchio
- Departamento de Química Física, Facultad de Ciencia y Tecnología, Universidad del País Vasco, Apdo. 644 E48080 Bilbao, Spain and Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428, Buenos Aires, Argentina
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Investigating sigma bonds in an electric field from the Pauling’s perspective: the behavior of Cl–X and H–X (X = C, Si) bonds. Theor Chem Acc 2009. [DOI: 10.1007/s00214-009-0650-9] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Karafiloglou P. An efficient generalized polyelectron population analysis in orbital spaces: the hole-expansion methodology. J Chem Phys 2009; 130:164103. [PMID: 19405557 DOI: 10.1063/1.3116083] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023] Open
Abstract
We present relations leading to an efficient generalized population analysis in orbital spaces of usual delocalized molecular orbital wave functions. Besides the calculation of the diagonal elements of the reduced density matrices of any order, one can also calculate efficiently the probabilities (or, in general, the weights) of various occupation schemes of local electronic structures, by using generalized density operators referring to both electrons and electron holes. Within this population analysis, correlated molecular orbital wave functions can be used, and there are no restrictions to the number of the analyzed electrons and electron holes. It is based on the hole-expansion methodology, according to which a given electronic population is expanded in terms involving only electron holes, which as shown, can be calculated very efficiently; usual difficulties arising from the necessity to handle extremely large local determinantal basis sets are avoided, without introducing approximations. Although an emphasis is given for populations in the basis of orthogonal orbital spaces (providing probabilities), the case of nonorthogonal ones is also considered in order to show the connection of the generalized populations and the traditional weights obtained from valence-bond wave functions. Physically meaningful populations can be obtained by using natural orbitals, such as the natural atomic orbitals (NAOs) (orthogonal orbitals) or the pre-NAO's (nonorthogonal orbitals); numerical applications for pyrrole molecule are presented in the basis of these natural orbitals.
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Affiliation(s)
- P Karafiloglou
- Department of General and Inorganic Chemistry, Faculty of Chemistry, Aristotle University of Thessaloniki, P.O. Box 135, 54124 Thessaloniki, Greece.
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Alcoba DR, Oña O, Torre A, Lain L, Bochicchio RC. Determination of Energies and Electronic Densities of Functional Groups According to Partitionings in the Physical Space. J Phys Chem A 2008; 112:10023-8. [DOI: 10.1021/jp804225x] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Diego R. Alcoba
- Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428, Buenos Aires, Argentina, and Departamento de Química Física, Facultad de Ciencias, Universidad del País Vasco, Apdo. 644, E-48080, Bilbao, Spain
| | - Ofelia Oña
- Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428, Buenos Aires, Argentina, and Departamento de Química Física, Facultad de Ciencias, Universidad del País Vasco, Apdo. 644, E-48080, Bilbao, Spain
| | - Alicia Torre
- Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428, Buenos Aires, Argentina, and Departamento de Química Física, Facultad de Ciencias, Universidad del País Vasco, Apdo. 644, E-48080, Bilbao, Spain
| | - Luis Lain
- Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428, Buenos Aires, Argentina, and Departamento de Química Física, Facultad de Ciencias, Universidad del País Vasco, Apdo. 644, E-48080, Bilbao, Spain
| | - Roberto C. Bochicchio
- Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428, Buenos Aires, Argentina, and Departamento de Química Física, Facultad de Ciencias, Universidad del País Vasco, Apdo. 644, E-48080, Bilbao, Spain
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Papanikolaou P, Karafiloglou P. Extracting Covalent and Ionic Structures from Usual Delocalized Wave Functions: The Electron-Expansion Methodology. J Phys Chem A 2008; 112:8839-48. [DOI: 10.1021/jp8039725] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Affiliation(s)
- P. Papanikolaou
- Department of General and Inorganic Chemistry, Faculty of Chemistry, POB 135, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece
| | - P. Karafiloglou
- Department of General and Inorganic Chemistry, Faculty of Chemistry, POB 135, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece
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Geier J. Radial Exchange Density and Electron Delocalization in Molecules. J Phys Chem A 2008; 112:5187-97. [DOI: 10.1021/jp800202w] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/22/2023]
Affiliation(s)
- Jens Geier
- Albert-Ludwigs-Universität, Institut für Organische Chemie und Biochemie, Albertstraβe 21, D-79104 Freiburg i. Br., Germany
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Ponec R, Cooper D, Savin A. Analytic Models of Domain-Averaged Fermi Holes: A New Tool for the Study of the Nature of Chemical Bonds. Chemistry 2008; 14:3338-45. [DOI: 10.1002/chem.200701727] [Citation(s) in RCA: 39] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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Karafiloglou P, Papanikolaou P. The role of ionic structures in the response of a non-polar molecule to an electric field. Chem Phys 2007. [DOI: 10.1016/j.chemphys.2007.10.016] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Karafiloglou P. Control of delocalization and structural changes by means of an electric field. J Comput Chem 2007; 27:1883-91. [PMID: 16983670 DOI: 10.1002/jcc.20509] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/20/2023]
Abstract
The strength and, mainly, the direction of a static electric field can be used to control delocalization effects occurring in a non-polar pi-system. The delocalization energy, the weights, and the probabilities of some local electronic structures, the behavior of electron pairs, and the electronic fluctuations are considered and examined in cis-butadiene, used as model system. The effects of the electric field are detected and evaluated in the basis of natural orbital spaces appropriate to investigate the behavior of one- and poly-electron distributions. The consequences of modifying the delocalization effects on structural changes are also investigated. Full geometry optimizations in both Hartree-Fock and MP2 levels show that the changes in bond lengths, guided by the changes of the behavior of the electronic assembly, can be controlled by means of the electric field.
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Affiliation(s)
- Padeleimon Karafiloglou
- Faculty of Chemistry, POB 135, Department of General and Inorganic Chemistry, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece.
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Merino G, Vela A, Heine T. Description of Electron Delocalization via the Analysis of Molecular Fields. Chem Rev 2005; 105:3812-41. [PMID: 16218568 DOI: 10.1021/cr030086p] [Citation(s) in RCA: 146] [Impact Index Per Article: 7.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Gabriel Merino
- Institut für Physikalische Chemie und Elektrochemie, TU Dresden, D-01062 Dresden, Germany.
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Torre A, Alcoba DR, Lain L, Bochicchio RC. Determination of Three-Center Bond Indices from Population Analyses: A Fuzzy Atom Treatment. J Phys Chem A 2005; 109:6587-91. [PMID: 16834006 DOI: 10.1021/jp0520446] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
This work proposes the use of the treatment referred to as fuzzy atoms to describe three-center bond indices within studies of electron population analysis. A simple manipulation of our algorithms reported previously for describing multicenter bondings enables us to introduce this methodology in our mathematical framework, providing suitable numerical determinations of three-center bond indices, two-center bond ones, and electron atomic populations. The results, obtained in selected systems, are discussed and compared to those arising from other procedures of population analysis.
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Affiliation(s)
- Alicia Torre
- Departamento de Química Física, Facultad de Ciencias, Universidad del País Vasco, Apdo. 644, E-48080, Bilbao, Spain.
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Alcoba DR, Lain L, Torre A, Bochicchio RC. Treatments of non-nuclear attractors within the theory of atoms in molecules. Chem Phys Lett 2005. [DOI: 10.1016/j.cplett.2005.03.078] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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Bochicchio RC, Torre A, Lain L. Correlated holes and their relationships with reduced density matrices and cumulants. J Chem Phys 2005; 122:84117. [PMID: 15836030 DOI: 10.1063/1.1851976] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
This paper describes a matrix formulation for the correlated hole theory within the framework of the domain-averaged model in many electron systems (atoms, molecules, condensed matter, etc.). General relationships between this quantity and one-particle reduced density matrices for any independent particle or correlated state functions are presented. This formulation turns out to be suitable for computational purposes due to the straightforward introduction of cumulants of two-particle reduced density matrices within the quantum field structure. Numerical calculations in selected simple molecular systems have been performed in order to determine preliminary correlated values for such a quantity.
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Affiliation(s)
- R C Bochicchio
- Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina.
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Alcoba DR, Torre A, Lain L, Bochicchio RC. Energy decompositions according to physical space partitioning schemes. J Chem Phys 2005; 122:074102. [PMID: 15743216 DOI: 10.1063/1.1850906] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
This work describes simple decompositions of the energy of molecular systems according to schemes that partition the three-dimensional space. The components of those decompositions depend on one and two atomic domains thus providing a meaningful chemical information about the nature of different bondings among the atoms which compose the system. Our algorithms can be applied at any level of theory (correlated or uncorrelated wave functions). The results reported here, obtained at the Hartree-Fock level in selected molecules, show a good agreement with the chemical picture of molecules and require a low computational cost in comparison with other previously reported decompositions.
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Affiliation(s)
- Diego R Alcoba
- Departamento de Química Física, Facultad de Ciencias, Universidad del País Vasco, Apartado Postal 644, E-48080 Bilbao, Spain
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Lain L, Torre A, Bochicchio R. Studies of Population Analysis at the Correlated Level: Determination of Three-Center Bond Indices. J Phys Chem A 2004. [DOI: 10.1021/jp040014h] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Luis Lain
- Departamento de Quimica Fisica, Facultad de Ciencias, Universidad del Pais Vasco, Apdo. 644 E-48080 Bilbao, Spain
| | - Alicia Torre
- Departamento de Quimica Fisica, Facultad de Ciencias, Universidad del Pais Vasco, Apdo. 644 E-48080 Bilbao, Spain
| | - Roberto Bochicchio
- Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria 1428, Buenos Aires, Argentine
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Bachler V. A simple computational scheme for obtaining localized bonding schemes and their weights from a CASSCF wave function. J Comput Chem 2003; 25:343-67. [PMID: 14696070 DOI: 10.1002/jcc.10363] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023]
Abstract
We devise and apply a simple computational scheme for obtaining localized bonding schemes and their weights from a CASSCF wave function. These bonding schemes are close to resonance structures drawn by chemists. Firstly, a CASSCF wave function is computed. Secondly, the CASSCF computation is repeated but now the delocalized complete active space MOs are substituted by Weinhold's localized natural atomic orbitals. In this way the original CASSCF wave function is represented by a sequence of Slater determinants composed of localized natural atomic orbitals. Thus, a standard CASSCF wave function can be reinterpreted in terms of a local picture. To test the method we obtain localized bonding schemes and their weights for the ground and the pi-pi* excited state of ethylene. Moreover, bonding schemes and their weights are derived for the ground, the 1(1)B(u), and the 2(1)Ag pi-pi* excited states of trans-butadiene. The large weight bonding schemes are shown to be a qualitative indicator for the known photochemistry of butadiene. The remarkable stability of the Arduengo carbene is discussed by obtaining bonding schemes that indicate a stabilizing delocalization of the pi electrons. We illustrate that the large weight bonding schemes are in line with the observed reactivity of the Arduengo carbene.
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Affiliation(s)
- Vinzenz Bachler
- Max-Planck-Institut für Strahlenchemie, Stiftstrasse 34-36, Postfach 101365, D-45413 Mülheim an der Ruhr, Germany.
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Torre A, Lain L, Bochicchio R. Bond Orders and Their Relationships with Cumulant and Unpaired Electron Densities. J Phys Chem A 2002. [DOI: 10.1021/jp021883e] [Citation(s) in RCA: 42] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Alicia Torre
- Departamento de Quimica Fisica, Facultad de Ciencias, Universidad del Pais Vasco, Apdo. 644, E-48080 Bilbao, Spain
| | - Luis Lain
- Departamento de Quimica Fisica, Facultad de Ciencias, Universidad del Pais Vasco, Apdo. 644, E-48080 Bilbao, Spain
| | - Roberto Bochicchio
- Departamento de Fisica, Facultad de Ciencias Exactas y Natuales, Universidad de Buenos Aires, Ciudad Universitaria 1428, Buenos Aires, Argentine
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