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Related Concept Videos

Calculating Standard Free Energy Changes02:49

Calculating Standard Free Energy Changes

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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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Thermodynamic Potentials01:26

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Thermodynamic potentials are state functions that are extremely useful in analyzing a thermodynamic system. They have dimensions of energy. The four important thermodynamic potentials are internal energy, enthalpy, Helmholtz free energy, and Gibbs free energy. These thermodynamic potentials can be expressed using two of the following variables: pressure, volume, temperature, and entropy. These two variables are expressed as the rate of change of the thermodynamic potential with respect to other...
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Gibbs Free Energy

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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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The free energy change for a process taking place with reactants and products present under nonstandard conditions (pressures other than 1 bar; concentrations other than 1 M) is related to the standard free energy change according to this equation:
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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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Energy Diagrams - II01:10

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Energy diagrams are important to understand the dynamics of a system. The topology of an energy diagram helps illustrate the equilibrium points of the system.
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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Computing Free Energy Differences of Configurational Basins.

Edoardo Giovannelli1, Gianni Cardini1,2, Cristina Gellini1,2

  • 1Dipartimento di Chimica, Università di Firenze , Via della Lastruccia 3, I-50019 Sesto Fiorentino, Italy.

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Summary

This study introduces a new "path-linked domains" method for accurately calculating free energy differences between molecular states. This approach minimizes statistical sampling, making it efficient for complex biochemical processes.

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Area of Science:

  • Computational chemistry
  • Molecular dynamics
  • Biophysics

Background:

  • Estimating free energy differences is crucial for understanding molecular processes.
  • Current methods can be computationally expensive and require extensive sampling.
  • Accurate calculation of free energy landscapes is essential for predicting molecular behavior.

Purpose of the Study:

  • To develop an efficient simulation-based approach for calculating free energy differences between distinct molecular configurational states.
  • To introduce the "path-linked domains" scheme to streamline free energy calculations.
  • To reduce the computational cost associated with sampling the entire free energy hypersurface.

Main Methods:

  • A three-stage computational protocol involving independent simulations of target states (A and B) and a linking-path stage.
  • Utilizing biased sampling techniques like umbrella sampling to estimate local configuration integrals.
  • Employing methods such as adaptive biasing or nonequilibrium techniques to estimate potential of mean force differences along a linking path.

Main Results:

  • The proposed "path-linked domains" scheme accurately estimates free energy differences by focusing sampling on relevant regions.
  • Demonstrated the method's efficacy through calculation of free energy differences for alanine dipeptide conformational states.
  • The approach significantly limits the required statistical sampling compared to traditional methods.

Conclusions:

  • The "path-linked domains" scheme offers an efficient and accurate method for free energy calculations in molecular systems.
  • This method is broadly applicable to various biochemical processes, including protein-ligand binding and protein folding.
  • The protocol's ability to minimize sampling makes it a valuable tool for computational molecular science.