Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Molecular Orbital Theory I02:35

Molecular Orbital Theory I

Overview of Molecular Orbital Theory
MO Theory and Covalent Bonding02:40

MO Theory and Covalent Bonding

The molecular orbital theory describes the distribution of electrons in molecules in a manner similar to the distribution of electrons in atomic orbitals. The region of space in which a valence electron in a molecule is likely to be found is called a molecular orbital. Mathematically, the linear combination of atomic orbitals (LCAO) generates molecular orbitals. Combinations of in-phase atomic orbital wave functions result in regions with a high probability of electron density, while...
Molecular Orbital Theory II03:51

Molecular Orbital Theory II

Molecular Orbital Energy Diagrams
Hybridization of Atomic Orbitals I03:24

Hybridization of Atomic Orbitals I

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...
Valence Bond Theory and Hybridized Orbitals02:38

Valence Bond Theory and Hybridized Orbitals

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...
Hybridization of Atomic Orbitals II03:35

Hybridization of Atomic Orbitals II

sp3d and sp3d 2 Hybridization

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Enantioselective synthesis of configurationally stable [5]helicenes containing 1,2-azaborine units.

Chemical science·2026
Same author

Revisiting acene dimers: A comprehensive theoretical study of a less explored conformer.

The Journal of chemical physics·2026
Same author

Synthesis and reactivity of a strongly pyramidalized P(III)-compound embedded into a pyrrolide (ONO)<sup>3-</sup> pincer ligand.

Chemical communications (Cambridge, England)·2026
Same author

Probing Hydrogen Activation in a Dimetal Dihydride Complex by Symmetric Exchange with Parahydrogen.

Journal of the American Chemical Society·2026
Same author

A Diazo-free Equivalent of the Unsubstituted Carbyne Cation: Straightforward Synthesis of Naphthalenes and Pyridines via [<sup>12/13</sup>CH]<sup>+</sup> Insertion.

Journal of the American Chemical Society·2026
Same author

Multicomponent Double-Hybrid Density Functional Theory.

Journal of chemical theory and computation·2025

Related Experiment Video

Updated: Jul 5, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

Correlation regions within a localized molecular orbital approach.

Ricardo A Mata1, Hans-Joachim Werner, Martin Schütz

  • 1Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany.

The Journal of Chemical Physics
|April 17, 2008
PubMed
Summary

This study introduces a novel hybrid quantum chemistry scheme using localized orbitals for efficient reaction energy calculations in large molecules. The method achieves linear (O(1)) scaling, making complex computations more feasible.

More Related Videos

Modeling Ligands into Maps Derived from Electron Cryomicroscopy
09:30

Modeling Ligands into Maps Derived from Electron Cryomicroscopy

Published on: July 19, 2024

Super-Resolution Imaging to Study Co-Localization of Proteins and Synaptic Markers in Primary Neurons
14:02

Super-Resolution Imaging to Study Co-Localization of Proteins and Synaptic Markers in Primary Neurons

Published on: October 31, 2020

Related Experiment Videos

Last Updated: Jul 5, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

Modeling Ligands into Maps Derived from Electron Cryomicroscopy
09:30

Modeling Ligands into Maps Derived from Electron Cryomicroscopy

Published on: July 19, 2024

Super-Resolution Imaging to Study Co-Localization of Proteins and Synaptic Markers in Primary Neurons
14:02

Super-Resolution Imaging to Study Co-Localization of Proteins and Synaptic Markers in Primary Neurons

Published on: October 31, 2020

Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • Molecular modeling

Background:

  • Accurate computation of reaction energies in large molecular systems is computationally demanding.
  • Existing hybrid schemes often require partitioning molecules and saturating bonds, introducing approximations.
  • Efficient methods are needed to handle the complexity of large molecular systems in computational studies.

Purpose of the Study:

  • To propose a novel hybrid scheme for calculating reaction energies in large molecules.
  • To develop a method that avoids molecular partitioning and the use of link atoms.
  • To achieve computational efficiency with linear (O(1)) scaling for high-level calculations.

Main Methods:

  • Utilizes localized orbitals assigned to specific regions within a molecule.
  • Applies different local correlation methods (e.g., local MP2, local CCSD(T)) to different regions.
  • Avoids splitting the molecule or saturating dangling bonds, simplifying the approach.

Main Results:

  • Demonstrates the feasibility of treating different molecular regions at varying computational levels.
  • Achieves computational cost for high-level calculations that is independent of molecular size for fixed region sizes.
  • Shows O(1) scaling, significantly improving efficiency for large systems.
  • Investigates convergence for reaction energies, barrier heights, and weakly bound complexes.

Conclusions:

  • The proposed hybrid scheme offers an efficient and accurate approach for large molecular systems.
  • The method overcomes limitations of previous hybrid schemes by avoiding molecular fragmentation.
  • The O(1) scaling and applicability to various properties make it a valuable tool in computational chemistry.