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Related Concept Videos

Reaction Mechanisms: The Steady-State Approximation01:26

Reaction Mechanisms: The Steady-State Approximation

The steady-state approximation, also referred to as the quasi-steady-state approximation to differentiate it from a true steady state, is a widely used method for simplifying calculations in complex reaction mechanisms. This approach is particularly useful when dealing with multi-step reactions that involve reverse reactions or several steps, which can significantly increase mathematical complexity and make the reactions nearly unsolvable analytically.The steady-state approximation operates on...
The de Broglie Wavelength02:32

The de Broglie Wavelength

In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
Reaction Mechanisms: Rate-limiting Step Approximation01:29

Reaction Mechanisms: Rate-limiting Step Approximation

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...
Measuring Reaction Rates03:09

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Polarimetry finds application in chemical kinetics to measure the concentration and reaction kinetics of optically active substances during a chemical reaction. Optically active substances have the capability of rotating the plane of polarization of linearly polarized light passing through them—a feature called optical rotation. Optical activity is attributed to the molecular structure of substances. Normal monochromatic light is unpolarized and possesses oscillations of the electrical field in...
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

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. Schrödinger...
Concentration and Rate Law03:03

Concentration and Rate Law

The rate of a reaction is affected by the concentrations of reactants. Rate laws (differential rate laws) or rate equations are mathematical expressions describing the relationship between the rate of a chemical reaction and the concentration of its reactants.
For example, in a generic reaction aA + bB ⟶ products, where a and b are stoichiometric coefficients, the rate law can be written as:

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Related Experiment Video

Updated: Jun 21, 2026

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

Classical Wigner method with an effective quantum force: application to reaction rates.

Jens Aage Poulsen1, Huaqing Li, Gunnar Nyman

  • 1Department of Chemistry, Physical Chemistry, University of Gothenburg, SE-412 96 Gothenburg, Sweden. jens72@chem.gu.se

The Journal of Chemical Physics
|July 17, 2009
PubMed
Summary

Researchers developed a novel quantum force for molecular dynamics simulations. This quantum force improves the accuracy of calculating reaction rates compared to standard methods.

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

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05:51

Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method

Published on: July 19, 2019

Area of Science:

  • Quantum mechanics
  • Chemical kinetics
  • Computational chemistry

Background:

  • Classical molecular dynamics methods struggle to accurately capture quantum mechanical effects in chemical reactions.
  • The Wigner method provides a quantum mechanical treatment but can be computationally intensive.
  • Accurate calculation of reaction rates is crucial for understanding chemical processes.

Purpose of the Study:

  • To develop an effective quantum force for use in classical molecular dynamics simulations within the Wigner method.
  • To improve the accuracy of calculating correlation functions and reaction rates.
  • To simplify the computational evaluation of quantum effects in molecular dynamics.

Main Methods:

  • Constructed an effective quantum force by estimating short-time Feynman path contributions.
  • Integrated the quantum force into the classical molecular dynamics framework of the Wigner method.
  • Evaluated the computational cost, comparing it to classical potential energy calculations.

Main Results:

  • The quantum force significantly improved the accuracy of calculated transmission coefficients.
  • Results showed much better agreement with accurate data compared to the standard classical Wigner method.
  • The computational evaluation of the quantum force was found to be as efficient as classical potential energy calculations.

Conclusions:

  • The developed quantum force offers a computationally efficient and accurate approach for incorporating quantum effects into molecular dynamics.
  • This method enhances the reliability of predicting reaction rates in chemical systems.
  • The approach holds promise for broader applications in computational chemistry and materials science.