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Related Concept Videos

Calculating Standard Free Energy Changes02:49

Calculating Standard Free Energy Changes

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...
An Introduction to Free Energy01:05

An Introduction to Free Energy

How can we compare the energy that releases from one reaction to that of another reaction? We use a measurement of free energy to quantitate these energy transfers. Scientists call this free energy Gibbs free energy (abbreviated with the letter G) after Josiah Willard Gibbs, the scientist who developed the measurement. According to the second law of thermodynamics, all energy transfers involve losing some energy in an unusable form such as heat, resulting in entropy. Gibbs free energy...
Gibbs Free Energy02:39

Gibbs Free Energy

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...
Gibbs Free Energy and Thermodynamic Favorability02:23

Gibbs Free Energy and Thermodynamic Favorability

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:
Free Energy and Equilibrium02:56

Free Energy and Equilibrium

The free energy change for a process may be viewed as a measure of its driving force. A negative value for ΔG represents a driving force for the process in the forward direction, while a positive value represents a driving force for the process in the reverse direction. When ΔGrxn is zero, the forward and reverse driving forces are equal, and the process occurs in both directions at the same rate (the system is at equilibrium).
Recall that Q is the numerical value of the mass action expression...
Free Energy and Equilibrium00:55

Free Energy and Equilibrium

The free energy change for a process may be viewed as a measure of its driving force. A negative value for ΔG represents a driving force for the process in the forward direction, while a positive value represents a driving force for the process in the reverse direction. When ΔG is zero, the forward and reverse driving forces are equal, and the process occurs in both directions at the same rate (the system is at equilibrium).
The reaction quotient, Q, is a convenient measure of the status of an...

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Differential Scanning Calorimetry &#8212; A Method for Assessing the Thermal Stability and Conformation of Protein Antigen
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Distribution-function approach to free energy computation.

Shun Sakuraba1, Nobuyuki Matubayasi

  • 1Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan.

The Journal of Chemical Physics
|September 29, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces error minimization to improve free energy calculations using microscopic energy distribution functions. New methods derived show state-of-the-art performance in model systems.

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Area of Science:

  • Computational physics and chemistry
  • Statistical mechanics

Background:

  • Free energy calculations are crucial in many scientific fields.
  • Existing methods for free energy computation can be computationally intensive or inaccurate.
  • Microscopic distribution functions offer a potential avenue for improved calculations.

Purpose of the Study:

  • To explore the relationship between free energy differences and microscopic energy distribution functions.
  • To develop accurate and simple methods for free energy computation.
  • To demonstrate the efficacy of error minimization in free energy calculations.

Main Methods:

  • Establishing a rigorous connection between energy distribution functions and free energy.
  • Implementing an error minimization scheme.
  • Testing newly derived distribution-function approaches on model systems.

Main Results:

  • The study successfully links free energy differences to microscopic energy distribution functions.
  • Novel, accurate, and simple free energy computation methods were derived.
  • The developed methods demonstrated state-of-the-art performance on model systems.

Conclusions:

  • Error minimization is a powerful concept for enhancing free energy calculations.
  • Distribution-function-based approaches, improved by error minimization, offer a promising direction for computational thermodynamics.
  • The findings provide a more efficient and reliable pathway for determining free energy differences.