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

Hybridization of Atomic Orbitals II03:35

Hybridization of Atomic Orbitals II

31.2K
sp3d and sp3d 2 Hybridization
31.2K
Hybridization of Atomic Orbitals I03:24

Hybridization of Atomic Orbitals I

45.7K
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...
45.7K
Atomic Orbitals02:44

Atomic Orbitals

32.9K
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. 
32.9K
Fermi Level Dynamics01:12

Fermi Level Dynamics

203
The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
203
The Energies of Atomic Orbitals03:21

The Energies of Atomic Orbitals

23.6K
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.
23.6K
Molecular Orbital Theory II03:51

Molecular Orbital Theory II

18.7K
Molecular Orbital Energy Diagrams
18.7K

You might also read

Related Articles

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

Sort by
Same author

Targeted electron beam creates thousands of atomic crystal defects.

Nature·2026
Same author

Taskblaster: a generic framework for automated computational workflows.

Digital discovery·2025
Same author

Diffraction of helium and hydrogen atoms through single-layer graphene.

Science (New York, N.Y.)·2025
Same author

Quantum Computation of Electronic Structure with Projector Augmented-Wave Method and Plane Wave Basis Set.

Journal of chemical theory and computation·2025
Same author

Quantifying phase magnitudes of open-source focused-probe 4D-STEM ptychography reconstructions.

Journal of microscopy·2025
Same author

Accelerating joint species distribution modelling with Hmsc-HPC by GPU porting.

PLoS computational biology·2024
Same journal

The influence of chirality on the macroscopic behavior of multiferroic smectic phases.

The Journal of chemical physics·2026
Same journal

Polaron transformed canonically consistent quantum master equation.

The Journal of chemical physics·2026
Same journal

The x-ray absorption spectrum of the propargyl radical C3H3●.

The Journal of chemical physics·2026
Same journal

Transient hydroperoxyalkyl intermediates (•QOOH) in isopentane oxidation. I. Conformer- and isomer-resolved infrared spectra.

The Journal of chemical physics·2026
Same journal

Transient hydroperoxyalkyl intermediates (•QOOH) in isopentane oxidation. II. Isomer-resolved unimolecular dynamics.

The Journal of chemical physics·2026
Same journal

Quantum state-to-state dynamics studies of the C(3P) + OH(X2Π) → CO(a3Π) + H(2S) reaction based on a new HCO(12A″) potential energy surface.

The Journal of chemical physics·2026
See all related articles

Related Experiment Video

Updated: May 16, 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

8.1K

Ehrenfest dynamics with localized atomic-orbital basis sets within the projector augmented-wave method.

Vladimír Zobač1, Mikael Kuisma2, Ask Hjorth Larsen2

  • 1University of Vienna, Faculty of Physics, Boltzmanngasse 5, 1090 Vienna, Austria.

The Journal of Chemical Physics
|March 31, 2025
PubMed
Summary
This summary is machine-generated.

Density functional theory using linear combination of atomic orbitals (LCAO) basis sets enables efficient Ehrenfest molecular dynamics (ED) simulations. This approach offers satisfactory accuracy at reduced computational cost for studying large atomic systems and ion irradiation processes.

More Related Videos

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

12.7K
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

8.3K

Related Experiment Videos

Last Updated: May 16, 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

8.1K
Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

12.7K
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

8.3K

Area of Science:

  • Computational Chemistry
  • Materials Science
  • Quantum Mechanics

Background:

  • Density functional theory (DFT) is crucial for studying atomic systems.
  • Time-dependent dynamics in large systems are computationally demanding.
  • Existing Ehrenfest dynamics methods have limitations in computational efficiency.

Purpose of the Study:

  • To implement and evaluate the Ehrenfest molecular dynamics (ED) method using linear combination of atomic orbitals (LCAO) basis sets.
  • To compare the LCAO-based ED method with real-space grid representations.
  • To assess the applicability of LCAO-ED for large atomic systems and specific processes like ion irradiation.

Main Methods:

  • Implementation of the Tomfohr-Sankey approximate approach for LCAO-based Ehrenfest dynamics.
  • Utilizing the projector augmented-wave (PAW) code GPAW.
  • Application to both small molecules and large periodic systems.

Main Results:

  • The LCAO-ED method demonstrates satisfactory accuracy for modest atomic velocities.
  • Achieved significantly reduced computational cost compared to real-space grid methods.
  • Elucidated the limits, advantages, and disadvantages of the LCAO-ED approach.

Conclusions:

  • LCAO-based Ehrenfest dynamics provide an efficient and accurate method for large atomic systems.
  • The implemented method is particularly suitable for simulating ion irradiation processes requiring large vacuum cells.
  • This advancement lowers the computational barrier for complex time-dependent dynamics simulations.