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Related Concept Videos

Calculating Standard Free Energy Changes02:49

Calculating Standard Free Energy Changes

24.3K
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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Gibbs Free Energy02:39

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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Thermodynamic Potentials01:26

Thermodynamic Potentials

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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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Free Energy Changes for Nonstandard States03:25

Free Energy Changes for Nonstandard States

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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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Gibbs Free Energy and Thermodynamic Favorability02:23

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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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When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
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Enhanced Jarzynski free energy calculations using weighted ensemble.

Nicole M Roussey1, Alex Dickson1

  • 1Department of Biochemistry and Molecular Biology, Michigan State University, East Lansing, Michigan 48823, USA.

The Journal of Chemical Physics
|October 9, 2020
PubMed
Summary

Weighted ensemble methods combined with the Jarzynski equality improve the calculation of binding free energies. This approach efficiently samples low-work trajectories, enhancing accuracy for drug design and molecular simulations.

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Area of Science:

  • Computational chemistry
  • Thermodynamics
  • Molecular dynamics

Background:

  • Binding free energy calculations are crucial for drug design.
  • Existing methods face challenges with convergence and sampling low-probability events.
  • The Jarzynski equality offers a path to calculate free energies from nonequilibrium work measurements.

Purpose of the Study:

  • To investigate the efficacy of combining weighted ensemble algorithms with the Jarzynski equality for binding free energy calculations.
  • To evaluate novel weighted ensemble resampling techniques and diffusion Monte Carlo methods.
  • To assess the accuracy and efficiency of these methods for model systems.

Main Methods:

  • Utilizing weighted ensemble algorithms with cloning and merging operations to sample nonequilibrium trajectories.
  • Implementing a novel weighted ensemble resampler for direct importance sampling.
  • Applying diffusion Monte Carlo with applied work as a selection potential.

Main Results:

  • Weighted ensemble methods combined with the Jarzynski equality efficiently determine accurate binding free energies.
  • The approach is particularly effective for deeper Lennard-Jones well depths.
  • The examined methods show improved efficiency in calculating unbinding free energies.

Conclusions:

  • The combination of weighted ensemble algorithms and the Jarzynski equality presents a more efficient and accurate approach for binding free energy calculations.
  • These enhanced sampling techniques are valuable for computational drug design and molecular simulations.
  • Further application of these methods can advance the understanding of molecular interactions.