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Related Concept Videos

Constraints and Statical Determinacy01:26

Constraints and Statical Determinacy

In structural engineering, the equilibrium of a system is not only determined by its equations of equilibrium but also with the help of constraints. Constraints refer to restrictions on the motion of a system. The proper combinations of constraints can minimize the total number of constraints needed to maintain a system in mechanical equilibrium. When this happens, the system is said to be statically determinate. For such systems, the unknown reaction supports can be estimated using equilibrium...
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...
Dynamic Equilibrium02:20

Dynamic Equilibrium

A reversible chemical reaction represents a chemical process that proceeds in both forward (left to right) and reverse (right to left) directions. When the rates of the forward and reverse reactions are equal, the concentrations of the reactant and product species remain constant over time and the system is at equilibrium. A special double arrow is used to emphasize the reversible nature of the reaction. The relative concentrations of reactants and products in equilibrium systems vary greatly;...
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...
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:

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Driven Metadynamics: Reconstructing Equilibrium Free Energies from Driven Adaptive-Bias Simulations.

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Area of Science:

  • Computational Chemistry
  • Statistical Mechanics

Background:

  • Free-energy calculations are crucial for understanding molecular processes.
  • Existing methods like steered molecular dynamics and metadynamics have limitations.

Purpose of the Study:

  • To present a novel, integrated free-energy calculation method.
  • To enhance the efficiency and convergence of nonequilibrium sampling techniques.

Main Methods:

  • Integrating driven (e.g., steered molecular dynamics) and adaptive-bias (e.g., metadynamics) methods.
  • Utilizing nonequilibrium work relations for a time- and history-dependent bias.
  • Employing on-the-fly work measurements to flatten the free-energy surface.

Main Results:

  • Demonstrated superior efficiency and faster convergence compared to individual methods.
  • Derived relations for free-energy reconstruction and error estimation.
  • Successfully applied to an atomistic polyproline peptide model for an isomerization reaction.

Conclusions:

  • The integrated method offers significant advantages over standalone techniques.
  • Provides a robust framework for accurate and efficient free-energy calculations.
  • Applicable to complex molecular systems and reactions.