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Related Concept Videos

Phase Transitions: Melting and Freezing02:39

Phase Transitions: Melting and Freezing

Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
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...
Effects of Temperature on Free Energy02:11

Effects of Temperature on Free Energy

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:
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:
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...
Free Energy Changes for Nonstandard States03:25

Free Energy Changes for Nonstandard States

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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Updated: Jun 18, 2026

Flash-and-Freeze: A Novel Technique to Capture Membrane Dynamics with Electron Microscopy
10:01

Flash-and-Freeze: A Novel Technique to Capture Membrane Dynamics with Electron Microscopy

Published on: May 1, 2017

Improving fast-switching free energy estimates by dynamical freezing.

Paolo Nicolini1, Riccardo Chelli

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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2009
PubMed
Summary

This study introduces a novel method to reduce computational costs in free energy calculations using steered molecular dynamics. By dynamically freezing non-essential particles, researchers can achieve accurate results more efficiently.

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Area of Science:

  • Computational Chemistry
  • Molecular Dynamics Simulations

Background:

  • Nonequilibrium pulling simulations often suffer from poor path-ensemble average convergence.
  • Achieving accurate free energy estimates requires a large number of computationally expensive trajectories.

Purpose of the Study:

  • To propose a method for improving free energy estimates.
  • To significantly reduce the computational cost of steered molecular dynamics (SMD) simulations.

Main Methods:

  • Dynamically freezing particles not directly involved in the driven process.
  • Synchronously scaling atomic masses and velocities to maintain kinetic energy.
  • Calculating forces between dynamically frozen particles infrequently.

Main Results:

  • The proposed method drastically lowers computational cost.
  • Computational cost becomes independent of the total system size, depending only on the reaction site.
  • Demonstrated applicability on a model system.

Conclusions:

  • The developed technique offers a more efficient approach to free energy calculations.
  • This method enhances the feasibility of complex molecular dynamics simulations.