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

Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation04:01

Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation

30.7K
Thus far, the ideal gas law, PV = nRT, has been applied to a variety of different types of problems, ranging from reaction stoichiometry and empirical and molecular formula problems to determining the density and molar mass of a gas. However, the behavior of a gas is often non-ideal, meaning that the observed relationships between its pressure, volume, and temperature are not accurately described by the gas laws.
30.7K
Molecular Orbital Theory I02:35

Molecular Orbital Theory I

39.7K
Overview of Molecular Orbital Theory
39.7K
IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration01:16

IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration

3.3K
A covalently bonded heteronuclear diatomic molecule can be modeled as two vibrating masses connected by a spring. The vibrational frequency of the bond can be expressed using an equation derived from Hooke's law, which describes how the force applied to stretch or compress a spring is proportional to the displacement of the spring. In this case, the atoms behave like masses, and the bond acts like a spring.
According to Hooke's law, the vibrational frequency is directly proportional to...
3.3K
The Van der Waals Equation01:26

The Van der Waals Equation

222
The ideal gas law is based on two simplifying assumptions: first, that there are no intermolecular attractions between gas molecules, and second, that the volume occupied by the molecules themselves is negligible compared with the volume of the container. However, these assumptions don't hold up under all conditions - specifically, at high pressures and low temperatures, as gas tends to deviate from ideal gas behavior.The van der Waals equation is an enhanced version of the ideal gas law,...
222
Debye–Huckel–Onsager Conductance Equation01:28

Debye–Huckel–Onsager Conductance Equation

291
The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect.
291
Reaction Mechanisms: Rate-limiting Step Approximation01:29

Reaction Mechanisms: Rate-limiting Step Approximation

100
The rate-determining step, or RDS, in a chemical reaction is the slowest step that determines the overall reaction rate. It is identified by using the observed rate law and typically involves approximation methods like the RDS approximation or the steady-state approximation.In the RDS approximation, also known as the rate-limiting-step or equilibrium approximation, the reaction mechanism consists of one or more reversible reactions near equilibrium, followed by a slower RDS, and then one or...
100

You might also read

Related Articles

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

Sort by
Same author

The construction of spin eigenfunctions for fermion systems using modular tensor diagram.

The Journal of chemical physics·2025
Same author

The structure and symmetry of modular state space for complex quantum systems.

The Journal of chemical physics·2025
Same author

Silver Nanowire Aerogel Support Promotes Stable Hydrogen Evolution Reaction at High Current Density.

ACS applied materials & interfaces·2024
Same author

Hydrogen-bonding and π-π interaction promoted solution-processable covalent organic frameworks.

Nature communications·2023
Same author

Hydrogen-bonding and "π-π" interaction promoted solution-processable mixed matrix membranes for aromatic amines detection.

Journal of hazardous materials·2022
Same author

Exploring the State Space Structure of Multiple Spins via Modular Tensor Diagram Approach: Going beyond the Exciton Pair State.

The journal of physical chemistry. A·2021

Related Experiment Video

Updated: May 3, 2026

Measurement of Ultrafast Vibrational Coherences in Polyatomic Radical Cations with Strong-Field Adiabatic Ionization
08:22

Measurement of Ultrafast Vibrational Coherences in Polyatomic Radical Cations with Strong-Field Adiabatic Ionization

Published on: August 6, 2018

6.5K

Electronically nonadiabatic dynamics in complex molecular systems: an efficient and accurate semiclassical solution.

Guohua Tao1

  • 1School of Advanced Materials, Peking University , Shenzhen Graduate School, Shenzhen, China 518055.

The Journal of Physical Chemistry. A
|June 27, 2013
PubMed
Summary

Chemists can now study complex molecular reactions using a new semiclassical (SC) method. This approach accurately models electronically nonadiabatic dynamics, significantly speeding up calculations for crucial chemical processes.

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

7.5K
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

9.2K

Related Experiment Videos

Last Updated: May 3, 2026

Measurement of Ultrafast Vibrational Coherences in Polyatomic Radical Cations with Strong-Field Adiabatic Ionization
08:22

Measurement of Ultrafast Vibrational Coherences in Polyatomic Radical Cations with Strong-Field Adiabatic Ionization

Published on: August 6, 2018

6.5K
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

7.5K
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

9.2K

Area of Science:

  • Physical Chemistry
  • Computational Chemistry
  • Chemical Dynamics

Background:

  • Chemical reaction dynamics are central to chemistry.
  • Many vital chemical processes involve electronically nonadiabatic dynamics, where multiple electronic states are coupled.
  • Simulating these complex dynamics is computationally challenging.

Purpose of the Study:

  • To present a rigorous and practical semiclassical (SC) method for simulating electronically nonadiabatic dynamics in complex molecular systems.
  • To enhance the efficiency of these simulations through advanced sampling techniques.

Main Methods:

  • A semiclassical (SC) treatment employing an initial value representation methodology.
  • A classical mapping formalism for electronic degrees of freedom.
  • Incorporation of a correlated importance sampling protocol in nonadiabatic SC calculations.

Main Results:

  • The developed SC method provides a practical solution for electronically nonadiabatic dynamics in complex systems.
  • The correlated importance sampling protocol achieves a speedup factor of 100 or more compared to standard methods.
  • Successful application to a benchmark nonadiabatic excitation energy transfer problem involving a two-state model and 10 nuclear modes.

Conclusions:

  • This work establishes a powerful computational tool for investigating complex molecular systems.
  • It enables effective theoretical studies of reaction mechanisms where electronically nonadiabatic dynamics are significant.
  • The enhanced efficiency opens new avenues for detailed molecular dynamics simulations.