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Related Concept Videos

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The free energy change for a reaction that occurs under the standard conditions of 1 bar pressure and at 298 K is called the standard free energy change. Since free energy is a state function, its value depends only on the conditions of the initial and final states of the system. A convenient and common approach to the calculation of free energy changes for physical and chemical reactions is by use of widely available compilations of standard state thermodynamic data. One method involves the...
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One of the challenges of using the second law of thermodynamics to determine if a process is spontaneous is that it requires measurements of the entropy change for the system and the entropy change for the surroundings. An alternative approach involving a new thermodynamic property defined in terms of system properties only was introduced in the late nineteenth century by American mathematician Josiah Willard Gibbs. This new property is called the Gibbs free energy (G) (or simply the free...
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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...
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The spontaneity of a process depends upon the temperature of the system. Phase transitions, for example, will proceed spontaneously in one direction or the other depending upon the temperature of the substance in question. Likewise, some chemical reactions can also exhibit temperature-dependent spontaneities. To illustrate this concept, the equation relating free energy change to the enthalpy and entropy changes for the process is considered:
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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Diabat Interpolation for Polymorph Free-Energy Differences.

Kartik Kamat1, Baron Peters1

  • 1Department of Chemical Engineering and ‡Department of Chemistry and Biochemistry, University of California , Santa Barbara, California 93106, United States.

The Journal of Physical Chemistry Letters
|January 18, 2017
PubMed
Summary
This summary is machine-generated.

This study introduces a faster method for calculating free-energy differences between crystal polymorphs. It combines Bennett

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Area of Science:

  • Computational materials science
  • Statistical mechanics
  • Solid-state physics

Background:

  • Calculating free-energy differences between polymorphs is crucial for materials science.
  • Current methods often involve computationally expensive techniques like harmonic approximations or multistage free-energy perturbations.
  • Efficient and accurate methods are needed to overcome these limitations.

Purpose of the Study:

  • To develop a swift and efficient method for estimating free-energy differences between polymorphs.
  • To combine established techniques in a novel way to simplify free-energy calculations.
  • To reduce the computational cost associated with polymorph free-energy difference computations.

Main Methods:

  • The study combines Bennett's diabat interpolation method with energy gaps from lattice-switch Monte Carlo techniques.
  • This novel approach requires only two unbiased molecular dynamics simulations, one for each polymorph.
  • The method is validated by computing the free-energy difference between face-centered cubic (FCC) and body-centered cubic (BCC) polymorphs of a Gaussian core solid.

Main Results:

  • The proposed method provides a swift estimation of free-energy differences between polymorphs.
  • It significantly reduces the computational burden compared to existing approaches.
  • The free-energy difference between FCC and BCC polymorphs for a Gaussian core solid was successfully computed.

Conclusions:

  • The combination of Bennett's method and lattice-switch Monte Carlo offers an efficient route to calculate polymorph free-energy differences.
  • The method's reliance on only two unbiased simulations makes it highly practical.
  • The findings suggest potential parallels with methods used in electron transfer studies, particularly regarding parabolic models of free-energy diabats.