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

Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

1.9K
Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area...
1.9K
Gauss's Law01:07

Gauss's Law

7.6K
If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
7.6K
Hybridization of Atomic Orbitals II03:35

Hybridization of Atomic Orbitals II

32.9K
sp3d and sp3d 2 Hybridization
32.9K
Gauss's Law in Dielectrics01:17

Gauss's Law in Dielectrics

4.6K
Consider a polar dielectric placed in an external field. In such a dielectric, opposite charges on adjacent dipoles neutralize each other, such that the net charge within the dielectric is zero. When a polar dielectric is inserted in between the capacitor plates, an electric field is generated due to the presence of net charges near the edge of the dielectric and the metal plates interface. Since the external electrical field merely aligns the dipoles, the dielectric as a whole is neutral. An...
4.6K
Hybridization of Atomic Orbitals I03:24

Hybridization of Atomic Orbitals I

47.8K
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...
47.8K
Molecular Orbital Theory I02:35

Molecular Orbital Theory I

32.5K
Overview of Molecular Orbital Theory
32.5K

You might also read

Related Articles

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

Sort by
Same author

Direct Nanoscale Mapping of Band Alignment in Single-Layer Semiconducting Lateral Heterojunctions.

Nano letters·2026
Same author

Matching drug and polymer for efficient delivery of anti-inflammatory drugs: PLGA, polyesteramides, and acetalated dextran.

Journal of materials chemistry. B·2025
Same author

Low- Temperature Transformations in Amorphous Silica Bilayers on Ru(0001) After Crystal-Glass Transition: Closer Look.

Chemistry (Weinheim an der Bergstrasse, Germany)·2025
Same author

Density Functional Theory for Molecular and Periodic Systems in TURBOMOLE: Theory, Implementation, and Applications.

The journal of physical chemistry. A·2025
Same author

Optical Gaps of Ionic Materials from GW/BSE-in-DFT and CC2-in-DFT.

Journal of chemical theory and computation·2024
Same author

TURBOMOLE: Today and Tomorrow.

Journal of chemical theory and computation·2023

Related Experiment Video

Updated: Aug 26, 2025

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

8.5K

Efficient Implementation of Density Functional Theory Based Embedding for Molecular and Periodic Systems Using

Manas Sharma1, Marek Sierka1

  • 1Otto Schott Institute of Materials Research, Friedrich Schiller University Jena, Löbdergraben 32, 07743Jena, Germany.

Journal of Chemical Theory and Computation
|October 12, 2022
PubMed
Summary

A new density functional theory (DFT) embedding method treats periodic and aperiodic systems uniformly. This approach enables accurate calculations for molecular and material properties using advanced wave function theory methods.

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

8.3K
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

12.9K

Related Experiment Videos

Last Updated: Aug 26, 2025

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

8.5K
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
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

12.9K

Area of Science:

  • Computational chemistry
  • Quantum mechanics
  • Materials science

Background:

  • Density functional theory (DFT) is a powerful tool for electronic structure calculations.
  • Treating complex systems, especially those with both localized and delocalized electronic features, remains a challenge.
  • Existing embedding methods often struggle to seamlessly integrate periodic and aperiodic components.

Purpose of the Study:

  • To develop and implement a practical and effective DFT-based embedding scheme.
  • To enable the simultaneous treatment of periodic and aperiodic systems.
  • To facilitate high-level quantum mechanical calculations on specific regions of interest within larger systems.

Main Methods:

  • Utilizing Gaussian basis functions for orbital and electron density expansion, enabling an all-electron direct-space representation.
  • Implementing three embedding flavors: molecule-in-molecule, molecule-in-periodic, and periodic-in-periodic.
  • Coupling the embedding scheme with correlated wave function theory (WFT) methods and developing real-time time-dependent DFT embedding theory (RT-TDDFET).

Main Results:

  • The developed method effectively treats periodic and aperiodic systems on an equal footing, avoiding pseudopotentials.
  • Accurate prediction of adsorption and excitation energies using WFT-in-DFT embedding.
  • RT-TDDFET demonstrates accurate absorption spectra prediction for systems with uncoupled excitations.

Conclusions:

  • The implemented DFT embedding scheme offers a versatile and efficient approach for studying complex molecular and material systems.
  • This method allows for high-level electronic structure calculations on localized regions within extended environments.
  • The successful application of WFT-in-DFT and RT-TDDFET highlights their potential for advancing research in low-dimensional systems and spectroscopy.