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

Van der Waals Interactions01:24

Van der Waals Interactions

73.2K
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.
73.2K
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

9.9K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a...
9.9K
Electric Field of a Non Uniformly Charged Sphere01:22

Electric Field of a Non Uniformly Charged Sphere

2.5K
Gauss's law states that the electric flux through any closed surface equals the net charge enclosed within the surface. This law is beneficial for determining the expressions for the electric field for a particular charge distribution if the electric flux is known.
Consider a non-uniformly charged sphere, for which the density of charge depends only on the distance from a point in space and not on the direction. Such a sphere has a spherically symmetrical charge distribution. Here, the electric...
2.5K
Atomic Orbitals02:44

Atomic Orbitals

47.3K
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.
47.3K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

61.6K
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.
61.6K
Maxwell-Boltzmann Distribution: Problem Solving01:20

Maxwell-Boltzmann Distribution: Problem Solving

3.1K
Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
3.1K

You might also read

Related Articles

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

Sort by
Same author

Weak Noncovalent Interactions in Nonequilibrium Structures: How Good Are the Dispersion Corrections?

The journal of physical chemistry letters·2026
Same author

Generalized Internal Coordinates for Creative Exploration of Interatomic Geometries.

Journal of chemical theory and computation·2025
Same author

Computational efficiency meets spectroscopic accuracy: an unsupervised workflow for equilibrium geometries and vibrational effects in gas-phase prebiotic molecules.

Physical chemistry chemical physics : PCCP·2025
Same author

Toward Validated Quantum Mechanical Workflows Predicting pH-Dependent Properties: Benchmarking Protocols for Conformational Sampling, Model Solvent, Basis Set, Density Functional, and Empirical Corrections.

The journal of physical chemistry. A·2025
Same author

Zero-point energies from bond orders and populations relationships.

The Journal of chemical physics·2025
Same author

Atypical fibrous histiocytoma mimicking a cutaneous metastasis on F-18 fluoro-2-deoxyglucose positron emission tomography in a patient with stage IV melanoma.

JAAD case reports·2024
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
Same journal

A Force-Kernel Reformulation of the Extended-System Adaptive Biasing Force for Free-Energy Calculations.

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

Related Experiment Video

Updated: Mar 29, 2026

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles
08:39

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

Published on: October 16, 2017

13.3K

A Density Functional with Spherical Atom Dispersion Terms.

Amy Austin1, George A Petersson1, Michael J Frisch1,2

  • 1Hall-Atwater Laboratories of Chemistry, Wesleyan University , Middletown, Connecticut 06459, United States.

Journal of Chemical Theory and Computation
|November 24, 2015
PubMed
Summary
This summary is machine-generated.

A new hybrid density functional, APF, and its dispersion correction, APF-D, accurately model weak interactions. This computational chemistry approach offers reliable predictions for molecular interactions and geometries.

More Related Videos

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy
09:16

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

Published on: January 9, 2017

15.0K
Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels
11:34

Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

Published on: September 8, 2016

10.8K

Related Experiment Videos

Last Updated: Mar 29, 2026

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles
08:39

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

Published on: October 16, 2017

13.3K
Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy
09:16

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

Published on: January 9, 2017

15.0K
Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels
11:34

Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

Published on: September 8, 2016

10.8K

Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • Materials science

Background:

  • Most density functional theory (DFT) models exhibit spurious long-range interactions.
  • Accurate modeling of weak interactions is crucial in chemistry and materials science.

Purpose of the Study:

  • Introduce a new hybrid density functional, APF, designed to eliminate spurious long-range interactions.
  • Develop and validate an empirical dispersion correction (APF-D) for improved weak interaction modeling.

Main Methods:

  • Developed the APF hybrid density functional.
  • Created the APF-D empirical dispersion model based on a spherical atom model (SAM).
  • Trained APF-D using noble gas and hydrocarbon dimers, alongside atomic properties like ionization potential and polarizability.

Main Results:

  • APF-D accurately describes potential energy surfaces for noble gas complexes and hydrocarbon dimers.
  • The model reproduces relative conformational energies of organic molecules.
  • Achieved accuracy comparable to CCSD(T)/aug-cc-pVTZ for weak interactions.

Conclusions:

  • The APF-D model provides a robust and accurate method for describing weak interactions.
  • Its performance in predicting geometries of hydrogen-bonded complexes is competitive with existing DFT and empirical dispersion models.