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

The Energies of Atomic Orbitals03:21

The Energies of Atomic Orbitals

26.1K
In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.
26.1K
Atomic Orbitals02:44

Atomic Orbitals

37.5K
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.
37.5K
Molecular Orbital Theory I02:35

Molecular Orbital Theory I

33.4K
Overview of Molecular Orbital Theory
33.4K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

49.9K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
49.9K
Molecular Orbital Theory II03:51

Molecular Orbital Theory II

20.1K
Molecular Orbital Energy Diagrams
20.1K
MO Theory and Covalent Bonding02:40

MO Theory and Covalent Bonding

11.7K
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...
11.7K

You might also read

Related Articles

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

Sort by
Same author

Pressure-Induced Discovery of a Topological Phase of Bi<sub>4</sub>Br<sub>4</sub> with AA''-Stacking.

The journal of physical chemistry letters·2026
Same author

Synthesis of Monolayer Ice on a Hydrophobic Metal Surface.

Journal of the American Chemical Society·2026
Same author

Semiconducting Borophene Realized via Hydrogenation-Driven Structural Reconstruction.

Angewandte Chemie (International ed. in English)·2025
Same author

Phase-transition-driven ferroic response in 2D CuMnP<sub>2</sub>Se<sub>6</sub> under ultra-low electric fields.

Nature communications·2025
Same author

CrystalFlow: a flow-based generative model for crystalline materials.

Nature communications·2025
Same author

Water-Hydroxyl Wetting Monolayer Predicted and Realized on a Hydrophobic Metal Surface.

Journal of the American Chemical Society·2025

Related Experiment Video

Updated: Sep 30, 2025

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

8.3K

Nonlocal pseudopotential energy density functional for orbital-free density functional theory.

Qiang Xu1, Cheng Ma1, Wenhui Mi1

  • 1International Center for Computational Methods and Software & State Key Lab of Superhard Materials, College of Physics, Jilin University, Changchun, 130012, China.

Nature Communications
|March 17, 2022
PubMed
Summary

Orbital-free density functional theory (OF-DFT) can now use nonlocal pseudopotentials. This new method improves accuracy and transferability in large-scale material simulations.

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

8.6K
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

7.7K

Related Experiment Videos

Last Updated: Sep 30, 2025

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

8.3K
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

8.6K
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

7.7K

Area of Science:

  • Computational physics
  • Quantum chemistry
  • Materials science

Background:

  • Orbital-free density functional theory (OF-DFT) offers linear scaling for large material simulations.
  • OF-DFT traditionally requires local pseudopotentials, limiting accuracy and transferability.
  • Nonlocal pseudopotentials provide superior accuracy but were deemed incompatible with OF-DFT.

Purpose of the Study:

  • To develop a theoretical framework enabling the use of nonlocal pseudopotentials within OF-DFT.
  • To overcome the limitations of local pseudopotentials in OF-DFT calculations.
  • To enhance the accuracy and applicability of OF-DFT for large-scale simulations.

Main Methods:

  • Derived a nonlocal pseudopotential energy density functional.
  • Projected nonlocal pseudopotentials onto the non-interacting density matrix.
  • Approximated the density matrix as an explicit functional of electron density.

Main Results:

  • Successfully integrated nonlocal pseudopotentials into OF-DFT.
  • Developed a theoretical scheme that overcomes previous limitations.
  • Demonstrated a superior alternative to traditional OF-DFT approaches.

Conclusions:

  • Nonlocal pseudopotentials are applicable to OF-DFT, challenging prior assumptions.
  • The new theoretical framework enhances OF-DFT's accuracy and transferability.
  • This advancement opens new possibilities for large-scale electronic structure calculations.