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Title: Intrinsic Resolution of Molecular Electronic Wave Functions and Energies in Terms of Quasi-atoms and Their Interactions

Journal Article · · Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory

A general intrinsic energy resolution has been formulated for strongly correlated wave functions in the full molecular valence space and its subspaces. The information regarding the quasi-atomic organization of the molecular electronic structure is extracted from the molecular wave function without introducing any additional postulated model state wave functions. To this end, the molecular wave function is expressed in terms of quasi-atomic molecular orbitals, which maximize the overlap between subspaces of the molecular orbital space and the free-atom orbital spaces. As a result, the molecular wave function becomes the superposition of a wave function representing the non-bonded juxtaposed quasi-atoms and a wave function describing the interatomic electron migrations that create bonds through electron sharing. The juxtaposed nonbonded quasi-atoms are shown to consist of entangled quasi-atomic states from different atoms. The binding energy is resolved as a sum of contributions that are due to quasi-atom formation, quasiclassical electrostatic interactions and interatomic interferences caused by electron sharing. The contributions are further resolved according to orbital interactions. The various transformations that generate the analysis are determined by criteria that are independent of the working orbital basis used for calculating the molecular wave function. Lastly, the theoretical formulation of the resolution is quantitatively validated by an application to the C2 molecule.

Research Organization:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
CHE-1147446; CHE-1565888; AC02-07CH11358
OSTI ID:
1355451
Report Number(s):
IS-J-9300
Journal Information:
Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory, Vol. 121, Issue 5; ISSN 1089-5639
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 41 works
Citation information provided by
Web of Science

References (39)

Molecular Orbital Studies of Hydrogen Bonds. III. C=O···H–O Hydrogen Bond in H 2 CO···H 2 O and H 2 CO···2H 2 O journal August 1971
Carbon monoxide, carbon monosulfide, molecular nitrogen, phosphorus trifluoride, and methyl isocyanide as .sigma. donors and .pi. acceptors. A theoretical study by the Hartree-Fock-Slater transition-state method journal July 1979
A theoretical study of the ethylene-metal bond in complexes between copper(1+), silver(1+), gold(1+), platinum(0) or platinum(2+) and ethylene, based on the Hartree-Fock-Slater transition-state method journal June 1979
Energy decomposition analysis: Energy decomposition analysis
  • Hopffgarten, Moritz von; Frenking, Gernot
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 2, Issue 1 https://doi.org/10.1002/wcms.71
journal June 2011
Natural orbitals for chemical valence as descriptors of chemical bonding in transition metal complexes journal September 2006
Bond Orbitals from Chemical Valence Theory journal March 2008
A Combined Charge and Energy Decomposition Scheme for Bond Analysis journal March 2009
Variational Energy Decomposition Analysis of Chemical Bonding. 1. Spin-Pure Analysis of Single Bonds journal September 2016
An efficient self-consistent field method for large systems of weakly interacting components journal May 2006
Unravelling the Origin of Intermolecular Interactions Using Absolutely Localized Molecular Orbitals journal September 2007
Polarization contributions to intermolecular interactions revisited with fragment electric-field response functions journal September 2015
Alternative definitions of the frozen energy in energy decomposition analysis of density functional theory calculations journal February 2016
Defining the contributions of permanent electrostatics, Pauli repulsion, and dispersion in density functional theory calculations of intermolecular interaction energies journal March 2016
Probing non-covalent interactions with a second generation energy decomposition analysis using absolutely localized molecular orbitals journal January 2016
The Physical Nature of the Chemical Bond journal April 1962
Covalent bonds are created by the drive of electron waves to lower their kinetic energy through expansion journal May 2014
Energy partitioning for generalized product functions: The interference contribution to the energy of generalized valence bond and spin coupled wave functions journal March 2009
Description of Polar Chemical Bonds from the Quantum Mechanical Interference Perspective journal May 2014
Nature of the Chemical Bond and Origin of the Inverted Dipole Moment in Boron Fluoride: A Generalized Valence Bond Approach
  • Fantuzzi, Felipe; Cardozo, Thiago Messias; Nascimento, Marco Antonio Chaer
  • The Journal of Physical Chemistry A, Vol. 119, Issue 21 https://doi.org/10.1021/jp510085r
journal December 2014
Are atoms intrinsic to molecular electronic wavefunctions? I. The FORS model journal September 1982
Direct configuration interaction and multiconfigurational self-consistent-field method for multiple active spaces with variable occupations. I. Method journal November 2003
Chemical binding and electron correlation in diatomic molecules as described by the FORS model and the FORS-IACC model journal July 1985
A comprehensive analysis of molecule-intrinsic quasi-atomic, bonding, and correlating orbitals. I. Hartree-Fock wave functions journal December 2013
A Comprehensive Analysis in Terms of Molecule-Intrinsic, Quasi-Atomic Orbitals. II. Strongly Correlated MCSCF Wave Functions journal October 2015
A Comprehensive Analysis in Terms of Molecule-Intrinsic, Quasi-Atomic Orbitals. III. The Covalent Bonding Structure of Urea journal October 2015
A Comprehensive Analysis in Terms of Molecule-Intrinsic Quasi-Atomic Orbitals. IV. Bond Breaking and Bond Forming along the Dissociative Reaction Path of Dioxetane journal October 2015
Summation Convention and the Density Matrix in Quantum Theory journal August 1957
The Physical Origin of Covalent Bonding book May 2014
Intrinsic local constituents of molecular electronic wave functions. I. Exact representation of the density matrix in terms of chemically deformed and oriented atomic minimal basis set orbitals journal May 2007
Intrinsic local constituents of molecular electronic wave functions. II. Electronic structure analyses in terms of intrinsic oriented quasi-atomic molecular orbitals for the molecules FOOH, H2BH2BH2, H2CO and the isomerization HNO → NOH journal May 2007
A Study of Two‐Center Integrals Useful in Calculations on Molecular Structure. II. The Two‐Center Exchange Integrals journal December 1951
Intraatomic correlation correction in the FORS model journal May 1985
Advances in electronic structure theory book January 2005
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen journal January 1989
Molecular Spectra and Molecular Structure book January 1979
Performance of CCSDT for diatomic dissociation energies journal July 2000
Orbital Overlap and Chemical Bonding journal December 2006
Quadruple bonding in C2 and analogous eight-valence electron species journal January 2012
The Chemical Bond in C 2 journal January 2016

Cited By (3)

Pleading for a Dual Molecular-Orbital/Valence-Bond Culture journal March 2018
Insight into spin–orbital interaction using MCSCF method: A special analysis of the 1 Σ g + electronic state in C 2 and the linear polyacetylenic C 4 and C 6 journal February 2019
Eliminating symmetry problems in electronegativity equalization and correcting self-interaction errors in conceptual DFT journal August 2018

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