1
|
Hernández-Lechuga K, Hernández-Pérez JM, Hô M. Bonding and antibonding characters of the first order reduced density matrix. A new look at two charge-shift bonds. J Chem Phys 2023; 158:014307. [PMID: 36610977 DOI: 10.1063/5.0126072] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022] Open
Abstract
This article reports a new way of analyzing chemical bonds based on the use of gradient of a first order reduced density matrix (1-RDM) map to partition bonds into atomic core, valence, and dorsal regions that can be further characterized as bonding or antibonding. These classifications are directly related to the familiar language of molecular orbital analysis. Analyses based on these quantities and the critical points of the 1-RDM performed on two charge-shift bonds show that although they share common features, there are fundamental differences in these interactions that are detected neither by density-based analysis nor by valence bond theory. The results suggest the gradient of 1-RDM as a valuable tool in bond analysis.
Collapse
Affiliation(s)
- Karem Hernández-Lechuga
- Centro de Investigaciones Químicas, Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, 92010 Cuernavaca, MOR, Mexico
| | - Julio-Manuel Hernández-Pérez
- Facultad de Ciencias Químicas, Benemérita Universidad Autónoma de Puebla, Av. San Claudio y 18 Sur, 72530 Puebla, PUE, Mexico
| | - Minhhuy Hô
- Centro de Investigaciones Químicas, Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, 92010 Cuernavaca, MOR, Mexico
| |
Collapse
|
2
|
Janesko BG. Topological analysis of the electron delocalization range. J Comput Chem 2016; 37:1993-2005. [DOI: 10.1002/jcc.24421] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/23/2016] [Revised: 04/01/2016] [Accepted: 05/17/2016] [Indexed: 11/08/2022]
Affiliation(s)
- Benjamin G. Janesko
- Department of Chemistry & BiochemistryTexas Christian University2800 S. University DrFort Worth Texas76129
| |
Collapse
|
3
|
Janesko BG, Wiberg KB, Scalmani G, Frisch MJ. Electron Delocalization Range in Atoms and on Molecular Surfaces. J Chem Theory Comput 2016; 12:3185-94. [DOI: 10.1021/acs.jctc.6b00343] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
| | | | - Giovanni Scalmani
- Gaussian, Inc., 340
Quinnipiac St., Bldg. 40, Wallingford, Connecticut 06492, United States
| | - Michael J. Frisch
- Gaussian, Inc., 340
Quinnipiac St., Bldg. 40, Wallingford, Connecticut 06492, United States
| |
Collapse
|
4
|
Bochicchio RC. On the non-integer number of particles in molecular system domains: treatment and description. Theor Chem Acc 2015. [DOI: 10.1007/s00214-015-1743-2] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
|
5
|
A problematic issue for atoms in molecules: Impact of (quasi-)degenerate states on Quantum Theory Atoms in Molecules and Hirshfeld-I properties. COMPUT THEOR CHEM 2015. [DOI: 10.1016/j.comptc.2014.06.017] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|
6
|
Oña OB, Alcoba DR, Torre A, Lain L, Torres-Vega JJ, Tiznado W. Orbital Localization Criterion as a Complementary Tool in the Bonding Analysis by Means of Electron Localization Function: Study of the Sin(BH)5-n2- (n = 0–5) Clusters. J Phys Chem A 2013; 117:12953-8. [DOI: 10.1021/jp4081228] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
Affiliation(s)
- Ofelia B. Oña
- Instituto de Investigaciones
Fisicoquímicas Teóricas y Aplicadas, Universidad Nacional de La Plata, CCT La Plata, Consejo
Nacional de Investigaciones Científicas y Técnicas, Diag. 113 y 64 (s/n), Sucursal 4, CC 16, 1900 La Plata, Argentina
| | - Diego R. Alcoba
- Departamento de Física, Facultad
de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina
- Instituto de Física de Buenos Aires, Consejo Nacional de Investigaciones Científicas y Técnicas, Ciudad Universitaria, 1428 Buenos Aires, Argentina
| | - Alicia Torre
- Departamento de Química Física, Facultad
de Ciencia y Tecnología, Universidad del País Vasco, Apdo. 644, E-48080 Bilbao, Spain
| | - Luis Lain
- Departamento de Química Física, Facultad
de Ciencia y Tecnología, Universidad del País Vasco, Apdo. 644, E-48080 Bilbao, Spain
| | - Juan J. Torres-Vega
- Departamento de Ciencias Químicas, Facultad de Ciencias Exactas, Universidad Andres Bello, Av. República 275, Santiago de Chile, Chile
| | - William Tiznado
- Departamento de Ciencias Químicas, Facultad de Ciencias Exactas, Universidad Andres Bello, Av. República 275, Santiago de Chile, Chile
| |
Collapse
|
7
|
Ramos-Cordoba E, Salvador P, Mayer I. The atomic orbitals of the topological atom. J Chem Phys 2013; 138:214107. [DOI: 10.1063/1.4807775] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
8
|
Vanfleteren D, Van Neck D, Bultinck P, Ayers PW, Waroquier M. Partitioning of the molecular density matrix over atoms and bonds. J Chem Phys 2010; 132:164111. [DOI: 10.1063/1.3394018] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/04/2023] Open
|
9
|
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
| |
Collapse
|
10
|
Roncero O, de Lara-Castells MP, Villarreal P, Flores F, Ortega J, Paniagua M, Aguado A. An inversion technique for the calculation of embedding potentials. J Chem Phys 2008; 129:184104. [DOI: 10.1063/1.3007987] [Citation(s) in RCA: 87] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
11
|
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
| |
Collapse
|
12
|
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
| |
Collapse
|
13
|
Cooper DL, Ponec R. A one-electron approximation to domain-averaged Fermi hole analysis. Phys Chem Chem Phys 2008; 10:1319-29. [DOI: 10.1039/b715904h] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|
14
|
|
15
|
Alcoba DR, Torre A, Bochicchio RC, Lain L. Description of functional groups by means of domain-restricted reduced density matrices. Theor Chem Acc 2007. [DOI: 10.1007/s00214-007-0332-4] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
|
16
|
Pendás AM, Blanco MA, Francisco E. Chemical fragments in real space: definitions, properties, and energetic decompositions. J Comput Chem 2007; 28:161-84. [PMID: 17061243 DOI: 10.1002/jcc.20469] [Citation(s) in RCA: 118] [Impact Index Per Article: 6.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Abstract
The physical and chemical meaning of real space molecular fragments resulting from arbitrary partitions of the density is reviewed under a common unifying formalism. Both fuzzy (interpenetrating) and non-fuzzy (exhaustive) decompositions are treated on an equal basis. Density decompositions are consistently generalized to compatible density matrix partitions by using Li and Parr's ideas (Li and Parr J Chem Phys 1986, 84, 1704), and these are carried onto an energy partition. It is argued that the merits of a given decomposition should be judged against both the charge and the energetic image it provides. Atomic partitions are used to show how the interacting quantum atoms approach (IQA) allows us to cope with the most important energy cancellations of quantum chemistry. Binding results from a trade-off between atomic (or fragment) energy deformations with respect to a reference and interatomic (interfragment) interactions. Deformation energies are divided into charge transfer and redistribution terms and their relative roles are analyzed. A number of systems are compared against the fuzziness of different density decompositions. The results consistently show that fuzzy partitions tend to give low atomic net charges and enhanced covalency, while exhaustive partitions generate larger net charges and smaller covalencies, across a wide range of bonding regimes.
Collapse
Affiliation(s)
- A Martín Pendás
- Departamento de Química Física y Analítica, Facultad de Química, Universidad de Oviedo, 33006-Oviedo, Spain.
| | | | | |
Collapse
|
17
|
Alcoba DR, Bochicchio RC, Torre A, Lain L. Decomposition of the First-Order Reduced Density Matrix: An Isopycnic Localization Treatment. J Phys Chem A 2006; 110:9254-60. [PMID: 16854041 DOI: 10.1021/jp060593l] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
In this work, we propose a partitioning of the first-order reduced density matrix corresponding to an N-electron system into first-order reduced density matrices associated with regions defined in the real space (regional matrices). The treatment is based on an isopycnic orbital localization transformation that provides regional matrices that are diagonalized by identical localized orbitals, having many attributes associated with chemical concepts (appropriate localization in space, high transferability, etc.). Although the obtained numerical values are similar to those arising from previous studies, their interpretation is more rigorous and the computational cost is much lower.
Collapse
Affiliation(s)
- Diego R Alcoba
- Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428, Buenos Aires, Argentina.
| | | | | | | |
Collapse
|
18
|
Alcoba DR, Lain L, Torre A, Bochicchio RC. An orbital localization criterion based on the theory of “fuzzy” atoms. J Comput Chem 2006; 27:596-608. [PMID: 16470667 DOI: 10.1002/jcc.20373] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
This work proposes a new procedure for localizing molecular and natural orbitals. The localization criterion presented here is based on the partitioning of the overlap matrix into atomic contributions within the theory of "fuzzy" atoms. Our approach has several advantages over other schemes: it is computationally inexpensive, preserves the sigma/pi-separability in planar systems and provides a straightforward interpretation of the resulting orbitals in terms of their localization indices and atomic occupancies. The corresponding algorithm has been implemented and its efficiency tested on selected molecular systems.
Collapse
Affiliation(s)
- Diego R Alcoba
- Departamento de Química Física, Facultad de Ciencias, Universidad del País Vasco, Apdo. 644, E-48080 Bilbao, Spain.
| | | | | | | |
Collapse
|