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

Potential Due to a Polarized Object01:29

Potential Due to a Polarized Object

460
A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
460
Molecular Shape and Polarity03:37

Molecular Shape and Polarity

60.9K
Dipole Moment of a Molecule
60.9K
Hückel's Rule Diagram of π MOs: Frost Circle01:08

Hückel's Rule Diagram of π MOs: Frost Circle

4.6K
The Frost circle or the inscribed polygon method is a graphical method for determining the relative energies of π molecular orbitals (MOs) for planar, fully conjugated, and monocyclic compounds. This method was first described by A. A. Frost and Boris Musulin in 1953.
A Frost circle is constructed by drawing a polygon whose number of edges is equal to the number of carbons of the given cyclic system, with one of the vertices pointing down. Then, a circle is drawn enclosing the polygon so...
4.6K
Spherical Coordinates01:23

Spherical Coordinates

10.6K
Spherical coordinate systems are preferred over Cartesian, polar, or cylindrical coordinates for systems with spherical symmetry. For example, to describe the surface of a sphere, Cartesian coordinates require all three coordinates. On the other hand, the spherical coordinate system requires only one parameter: the sphere's radius. As a result, the complicated mathematical calculations become simple. Spherical coordinates are used in science and engineering applications like electric and...
10.6K
Curvilinear Motion: Polar Coordinates01:27

Curvilinear Motion: Polar Coordinates

465
In polar coordinates, the motion of a particle follows a curvilinear path. The radial coordinate symbolized as 'r,' extends outward from a fixed origin to the particle, while the angular coordinate, 'θ,' measured in radians, represents the counterclockwise angle between a fixed reference line and the radial line connecting the origin to the particle.
The particle's location is described using a unit vector along the radial direction. Deriving the particle's position...
465
Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

3.2K
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
3.2K

You might also read

Related Articles

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

Sort by
Same author

UV Response of the Green Fluorescent Protein Chromophore: Insights from Ab Initio Nonadiabatic Simulations.

The journal of physical chemistry letters·2026
Same author

Formation of Ground-State Intermediate during Electronic Relaxation of Pyrimidine Nucleobases.

Journal of the American Chemical Society·2025
Same author

Effects of Methyl Substitution on the Ultrafast Internal Conversion of Benzene.

The journal of physical chemistry letters·2024
Same author

Deuterium Isotope Effect on Internal Conversion of Ethylene Studied by Time-Resolved Photoelectron Spectroscopy.

The journal of physical chemistry. A·2024
Same author

Approximate Functionals for Multistate Density Functional Theory.

Journal of chemical theory and computation·2024
Same author

Vibrational Motions in Ultrafast Electronic Relaxation of Pyrazine.

Journal of the American Chemical Society·2024

Related Experiment Video

Updated: Aug 25, 2025

Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

9.1K

Conical Intersections in Solution with Polarizable Embedding: Integral-Exact Direct Reaction Field.

Xiao Liu1, Alexander Humeniuk1,2, William J Glover1,2,3

  • 1NYU Shanghai, 1555 Century Avenue, Shanghai200122, China.

Journal of Chemical Theory and Computation
|October 17, 2022
PubMed
Summary

This study introduces an integral-exact reformulation of the direct reaction field (QM/MM-IEDRF) approach to accurately model quantum mechanics/molecular mechanics (QM/MM) systems. This method resolves issues in polarizable embedding, enabling reliable studies of electronic excited states.

More Related Videos

Merging Ion Concentration Polarization between Juxtaposed Ion Exchange Membranes to Block the Propagation of the Polarization Zone
08:06

Merging Ion Concentration Polarization between Juxtaposed Ion Exchange Membranes to Block the Propagation of the Polarization Zone

Published on: February 23, 2017

8.6K
Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers
08:51

Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers

Published on: August 18, 2017

10.4K

Related Experiment Videos

Last Updated: Aug 25, 2025

Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

9.1K
Merging Ion Concentration Polarization between Juxtaposed Ion Exchange Membranes to Block the Propagation of the Polarization Zone
08:06

Merging Ion Concentration Polarization between Juxtaposed Ion Exchange Membranes to Block the Propagation of the Polarization Zone

Published on: February 23, 2017

8.6K
Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers
08:51

Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers

Published on: August 18, 2017

10.4K

Area of Science:

  • Computational Chemistry
  • Theoretical Chemistry
  • Quantum Mechanics/Molecular Mechanics (QM/MM)

Background:

  • QM/MM embedding is crucial for studying complex systems, particularly electronic excited states.
  • Polarizable embedding (QM/MM-Pol) is state-of-the-art but suffers from root flipping and incorrect electronic crossing descriptions.
  • Accurate treatment of QM/MM coupling is vital for charge-transfer excited states.

Purpose of the Study:

  • To address limitations in current QM/MM-Pol methods, specifically root flipping and inaccurate electronic state crossings.
  • To develop a robust QM/MM embedding approach for reliable multistate calculations.
  • To investigate the influence of a polarizable environment on photochemical processes.

Main Methods:

  • Integral-exact reformulation of the direct reaction field (DRF) approach (QM/MM-IEDRF).
  • Inclusion of one- and two-electron operators and many-body dipole-induced dipole interactions.
  • Mimicking Pauli repulsion using effective core potentials and accounting for instantaneous MM dipole response.

Main Results:

  • The QM/MM-IEDRF method provides a consistent description of electronic states and their crossings.
  • It naturally incorporates screening of electron-electron interactions by MM induced dipoles.
  • Demonstrated application to ethylene photoisomerization in a xenon matrix, analyzing conical intersections.

Conclusions:

  • QM/MM-IEDRF offers a significant improvement over existing QM/MM-Pol methods for excited-state calculations.
  • The approach ensures consistent definition of transition properties and state crossings.
  • This method enables accurate exploration of environmental effects on photochemical reactions.