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Related Concept Videos

Arrhenius Plots02:34

Arrhenius Plots

The Arrhenius equation relates the activation energy and the rate constant, k, for chemical reactions. In the Arrhenius equation, k = Ae−Ea/RT, R is the ideal gas constant, which has a value of 8.314 J/mol·K, T is the temperature on the kelvin scale, Ea is the activation energy in J/mole, e is the constant 2.7183, and A is a constant called the frequency factor, which is related to the frequency of collisions and the orientation of the reacting molecules.
The Arrhenius equation can be used to...
Activation Energy01:26

Activation Energy

Activation energy is the minimum amount of energy necessary for a chemical reaction to move forward. The higher the activation energy, the slower the rate of the reaction. However, adding heat to the reaction will increase the rate, since it causes molecules to move faster and increase the likelihood that molecules will collide. The collision and breaking of bonds represents the uphill phase of a reaction and generates the transition state. The transition state is an unstable high-energy state...
Potential-Energy Criterion for Equilibrium01:16

Potential-Energy Criterion for Equilibrium

Potential energy or potential function plays an essential role in determining the stability of a mechanical system. If a system is subjected to both gravitational and elastic forces, the potential function of the system can be expressed as the algebraic sum of gravitational and elastic potential energy. If the system is in equilibrium and is displaced by a small amount, then the work done on the system equals the negative of the change in the system's potential energy from the initial to the...
Energy Diagrams, Transition States, and Intermediates02:13

Energy Diagrams, Transition States, and Intermediates

Free-energy diagrams, or reaction coordinate diagrams, are graphs showing the energy changes that occur during a chemical reaction. The reaction coordinate represented on the horizontal axis shows how far the reaction has progressed structurally. Positions along the x-axis close to the reactants have structures resembling the reactants, while positions close to the products resemble the products.  Peaks on the energy diagram represent stable structures with measurable lifetimes, while other...
Enzymes and Activation Energy01:13

Enzymes and Activation Energy

The activation energy (or free energy of activation), abbreviated as Ea, is the small amount of energy input necessary for all chemical reactions to occur. During chemical reactions, certain chemical bonds break, and new ones form. For example, when a glucose molecule breaks down, bonds between the molecule's carbon atoms break. Since these are energy-storing bonds, they release energy when broken. However, the molecule must be somewhat contorted to get into a state that allows the bonds to...
Enzymes and Activation Energy01:13

Enzymes and Activation Energy

The activation energy (or free energy of activation), abbreviated as Ea, is the small amount of energy input necessary for all chemical reactions to occur. During chemical reactions, certain chemical bonds break, and new ones form. For example, when a glucose molecule breaks down, bonds between the molecule's carbon atoms break. Since these are energy-storing bonds, they release energy when broken. However, the molecule must be somewhat contorted to get into a state that allows the bonds to...

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Related Experiment Video

Updated: May 30, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

Optimized energy landscape exploration using the ab initio based activation-relaxation technique.

Eduardo Machado-Charry1, Laurent Karim Béland, Damien Caliste

  • 1Nanosciences Foundation, 23 rue des martyrs, 38000 Grenoble, France.

The Journal of Chemical Physics
|July 27, 2011
PubMed
Summary
This summary is machine-generated.

We present ART nouveau, an efficient method for finding transition states in materials science. This approach accelerates simulations for defect diffusion, catalysis, and cluster dynamics using density functional theory.

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Area of Science:

  • Computational Materials Science
  • Theoretical Chemistry
  • Condensed Matter Physics

Background:

  • Unbiased open-ended methods are crucial for understanding diffusion and relaxation mechanisms.
  • Previous methods demanded significant computational resources, limiting their use with ab initio packages.
  • Transition state searches are vital for defect diffusion, growth processes, and catalysis.

Purpose of the Study:

  • To revisit and enhance the Activation-Relaxation Technique (ART nouveau) for efficient transition state searches.
  • To couple ART nouveau with the BigDFT electronic structure code for ab initio calculations.
  • To systematically study potential energy surfaces and reaction pathways in materials.

Main Methods:

  • Introduced a two-step convergence to the saddle point, combining Lanczós algorithm with direct inversion in interactive subspace.
  • Coupled the enhanced ART nouveau with BigDFT, a parallelized Kohn-Sham density functional theory code using wavelet basis sets.
  • Achieved an average of 300-700 force evaluations per successful event for generating reaction pathways.

Main Results:

  • Successfully generated transition states and reaction pathways with significantly reduced computational cost.
  • Applied the method to study C(20) clusters, vacancy diffusion in silicon, and 4H-SiC surface reconstruction.
  • Demonstrated the efficiency and applicability of ART nouveau coupled with BigDFT for complex materials systems.

Conclusions:

  • The enhanced ART nouveau provides an efficient and systematic approach for unbiased transition state searches.
  • This method enables the study of complex phenomena like defect diffusion and surface reconstruction using ab initio calculations.
  • The integration with BigDFT offers a powerful tool for exploring materials' potential energy surfaces.