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

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...
Van der Waals Interactions01:24

Van der Waals Interactions

Atoms and molecules interact with each other through intermolecular forces. These electrostatic forces arise from attractive or repulsive interactions between particles with permanent, partial, or temporary charges. The intermolecular forces between neutral atoms and molecules are ion–dipole, dipole–dipole, and dispersion forces, collectively known as van der Waals forces.Polar molecules have a partial positive charge on one end and a partial negative charge on the other end of the molecule,...
Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)

Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
Intermolecular Forces and Physical Properties02:56

Intermolecular Forces and Physical Properties

Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...

You might also read

Related Articles

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

Sort by
Same author

Neural Quantum States for Light Nuclei with Chiral Two- and Three-Body Interactions.

Physical review letters·2026
Same author

The nucleardatapy toolkit for simple access to experimental nuclear data, astrophysical observations, and theoretical predictions.

The European physical journal. A, Hadrons and nuclei·2026
Same author

Spin-Triplet Pairing in Heavy Nuclei Is Stable against Deformation.

Physical review letters·2025
Same author

The liminal position of Nuclear Physics: from hadrons to neutron stars.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2024
Same author

Auxiliary field Quantum Monte Carlo for dilute neutrons on the lattice.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2024
Same author

Porter-Thomas fluctuations in complex quantum systems.

Physical review. E·2021

Related Experiment Video

Updated: Jun 5, 2026

Thermochemical Studies of Ni(II) and Zn(II) Ternary Complexes Using Ion Mobility-Mass Spectrometry
16:11

Thermochemical Studies of Ni(II) and Zn(II) Ternary Complexes Using Ion Mobility-Mass Spectrometry

Published on: June 8, 2022

Effective 3-body interaction for mean-field and density-functional theory.

Alexandros Gezerlis1, G F Bertsch

  • 1Department of Physics, University of Washington, Seattle, Washington 98195-1560, USA.

Physical Review Letters
|January 15, 2011
PubMed
Summary

This study introduces a novel nonlocal energy functional for nuclear density. This approach better describes the weak-coupling regime compared to the local-density approximation, using no free parameters.

More Related Videos

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

Related Experiment Videos

Last Updated: Jun 5, 2026

Thermochemical Studies of Ni(II) and Zn(II) Ternary Complexes Using Ion Mobility-Mass Spectrometry
16:11

Thermochemical Studies of Ni(II) and Zn(II) Ternary Complexes Using Ion Mobility-Mass Spectrometry

Published on: June 8, 2022

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

Area of Science:

  • Nuclear physics
  • Quantum many-body theory
  • Computational physics

Background:

  • Nuclear density functionals commonly use effective 3-body interactions dependent on density.
  • Many-body theory of low-density Fermi gases offers insights into interaction forms.

Purpose of the Study:

  • To develop a new nonlocal energy functional for nuclear systems.
  • To investigate a spatially nonlocal generalization of the contact interaction.
  • To improve the description of the weak-coupling regime in nuclear matter.

Main Methods:

  • Derivation of a nonlocal energy functional from many-body theory.
  • Calculation of ground-state energies for particles in a harmonic trap.
  • Comparison with Green's function Monte Carlo (GFMC) calculations.

Main Results:

  • A unique nonlocal generalization of the contact interaction preserving the required density dependence (ρ(7/3)) was found.
  • The nonlocal induced 3-body interaction was used to calculate ground-state energies.
  • The nonlocal approach showed improved accuracy over the local-density approximation in the weak-coupling regime.

Conclusions:

  • Nonlocality in the space domain offers a more accurate description of the weak-coupling regime than local approximations.
  • The developed nonlocal functional provides a parameter-free description consistent with many-body theory.
  • This work advances the development of more sophisticated nuclear density functionals.