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Hybridization of Atomic Orbitals II03:35

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Hybridization of Atomic Orbitals I03:24

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The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
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An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.
Valence Bond Theory and Hybridized Orbitals02:38

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According to valence bond theory, a covalent bond results when: (1) an orbital on one atom overlaps an orbital on a second atom, and (2) the single electrons in each orbital combine to form an electron pair. The strength of a covalent bond depends on the extent of overlap of the orbitals involved. Maximum overlap is possible when the orbitals overlap on a direct line between the two nuclei.
A σ bond (single bond in a Lewis structure) is a covalent bond in which the electron density is...

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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Combining two-body density correlation functionals with multiconfigurational wave functions using natural orbitals

Angel J Pérez-Jiménez1, José M Pérez-Jordá, Juan C Sancho-García

  • 1Departamento de Química-Física, Universidad de Alicante, Alicante E-03080, Spain. aj.perez@ua.es

The Journal of Chemical Physics
|September 18, 2007
PubMed
Summary

This study introduces a new computational chemistry method combining multiconfigurational (MC) wave functions with density correlation functionals. The approach accurately predicts molecular properties for various chemical systems, offering improved accuracy for electronic structure calculations.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Theoretical Chemistry

Background:

  • Accurate prediction of molecular properties is crucial for understanding chemical phenomena.
  • Existing methods often struggle with strongly correlated systems.

Purpose of the Study:

  • To develop a novel procedure combining multiconfigurational (MC) wave functions with two-body density correlation functionals.
  • To enhance the accuracy of electronic structure calculations for challenging molecular systems.

Main Methods:

  • Transforming two-body density correlation functionals into functionals of MC natural orbitals and occupation numbers.
  • Applying the procedure to the Colle-Salvetti functional and a size-consistent functional (F1-5-N(eff)).

Main Results:

  • The method was tested on spectroscopic constants, reaction barriers, spin-state energy differences, and magnetic coupling constants for diverse molecules.
  • The transformed F1-5-N(eff) functional yielded the best results on average.

Conclusions:

  • The proposed procedure offers a robust approach for improving the accuracy of quantum chemical calculations.
  • This method provides a valuable tool for studying complex electronic structures and predicting molecular properties.