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

49.0K
Overview of Molecular Orbital Theory
49.0K
Hybridization of Atomic Orbitals I03:24

Hybridization of Atomic Orbitals I

69.1K
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...
69.1K
Valence Bond Theory and Hybridized Orbitals02:38

Valence Bond Theory and Hybridized Orbitals

32.8K
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...
32.8K
Hybridization of Atomic Orbitals II03:35

Hybridization of Atomic Orbitals II

50.1K
sp3d and sp3d 2 Hybridization
50.1K
Molecular Orbital Theory II03:51

Molecular Orbital Theory II

28.3K
Molecular Orbital Energy Diagrams
28.3K
Atomic Orbitals02:44

Atomic Orbitals

46.9K
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.
46.9K

You might also read

Related Articles

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

Sort by
Same author

Chronic alcohol exposure contributes to postoperative cognitive dysfunction via NR2B upregulation in the hippocampus of adult mice.

Translational psychiatry·2026
Same author

Theoretical study on structures, stability, and bonding of Ng-inserted nitrogen-group fluorides FNgMFn (Ng = Kr, Xe; M = P, As, Sb; n = 2, 4).

The Journal of chemical physics·2026
Same author

Second-Order Perturbative Treatment of Spin-Orbit Coupling and Ground-State Electron Correlation.

Journal of chemical theory and computation·2026
Same author

3D Unconventional Superconductivity in Bulk LaO.

Journal of the American Chemical Society·2026
Same author

Leveraging Acquired EGFR-TKI-Resistant Models to Identify MUC16 as a Therapeutic Vulnerability in Lung Adenocarcinoma.

Pharmaceuticals (Basel, Switzerland)·2026
Same author

Effects of basis sets and tight d-functions in quantum Monte Carlo and CCSD(T) calculations with pseudopotentials.

The Journal of chemical physics·2026
Same journal

Electron Alchemy with Machine-Learned Interatomic Potentials: Case Studies of Local Charge in Bond Dissociation Curves.

Journal of chemical theory and computation·2026
Same journal

Multilevel Fragmentation and Boundary Corrections for Accurate Vibrational Spectra of Large Molecules.

Journal of chemical theory and computation·2026
Same journal

Special Topics: Developments of Theoretical and Computational Chemistry Methods in Asia.

Journal of chemical theory and computation·2026
Same journal

Predicting Excited-State Energies from Ground-State Descriptors in Thermally Fluctuating π-Conjugated Molecules.

Journal of chemical theory and computation·2026
Same journal

Many-Body Theory Predictions of Positron Binding Energies in Five-Membered Heterocycles Involving N, O, S, and NH Substituents.

Journal of chemical theory and computation·2026
Same journal

<i>opt</i>-DDAP: Optimizable Density-Derived Atomic Point Charges via Automatic Differentiation.

Journal of chemical theory and computation·2026
See all related articles

Related Experiment Video

Updated: Mar 19, 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

8.8K

Single-Reference Methods Based on Complex Orbital in Electronic Structure Calculations for High-Symmetry Systems.

Shun Li1, Zhifan Wang2, Zhihua Luo1

  • 1Institute of Atomic and Molecular Physics, Key Laboratory of High Energy Density Physics and Technology, Ministry of Education, Sichuan University, Chengdu 610065, People's Republic of China.

Journal of Chemical Theory and Computation
|March 17, 2026
PubMed
Summary
This summary is machine-generated.

Complex molecular orbitals (MOs) simplify describing multireference (MR) states in electronic structure calculations. This approach allows single-determinant representations for specific atomic and molecular states, improving computational efficiency.

More Related Videos

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

9.0K
Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations
13:56

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations

Published on: October 12, 2019

8.4K

Related Experiment Videos

Last Updated: Mar 19, 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

8.8K
Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

9.0K
Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations
13:56

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations

Published on: October 12, 2019

8.4K

Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Electronic Structure Theory

Background:

  • Multireference (MR) states in electronic structure calculations typically require complex multideterminant wave functions using real molecular orbitals (MOs).
  • Certain specific MR states in atoms and molecules can be simplified using complex MOs, allowing for single-determinant representations.

Purpose of the Study:

  • To investigate the utility of complex molecular orbitals (MOs) for representing multireference (MR) states in electronic structure calculations.
  • To assess the performance of various computational methods employing complex MOs for specific atomic and molecular systems.

Main Methods:

  • Utilized complex MOs to represent specific MR states in atoms, linear molecules, and nonlinear molecules with real two-dimensional irreducible representations.
  • Employed angular momentum symmetry-broken methods within density functional theory (DFT) for selected MR states.
  • Assessed the performance of MP2, CCSD, CCSD(T), and DFT methods with complex MOs.

Main Results:

  • Complex MOs enable single-determinant representation for certain MR states, particularly those with angular momentum symmetry.
  • CCSD(T) calculations with complex MOs demonstrated high accuracy for applicable cases.
  • DFT calculations provided reasonable accuracy, dependent on the chosen exchange-correlation functionals.

Conclusions:

  • Complex MOs offer an efficient alternative for describing specific multireference states in quantum chemistry.
  • The use of complex MOs in conjunction with methods like CCSD(T) and DFT can lead to accurate and computationally feasible electronic structure calculations.