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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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Free Energy Changes for Nonstandard States03:25

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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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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...
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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).
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Free Energy and Equilibrium00:55

Free Energy and Equilibrium

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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...
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QM/MM free energy simulations: recent progress and challenges.

Xiya Lu1, Dong Fang1, Shingo Ito2

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Hybrid quantum mechanical/molecular mechanical (QM/MM) simulations balance accuracy and cost. This review covers advanced free energy methods, enhanced sampling, and solvation free energy calculations for QM/MM simulations.

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Area of Science:

  • Computational Chemistry
  • Biophysics
  • Physical Chemistry

Background:

  • Hybrid quantum mechanical/molecular mechanical (QM/MM) simulations offer a powerful approach to model complex chemical systems.
  • However, their higher computational cost necessitates careful optimization for accuracy and efficiency.

Purpose of the Study:

  • To review recent advancements in free energy methods applicable to QM/MM simulations.
  • To discuss strategies for balancing computational cost and accuracy in these simulations.
  • To provide insights into parameter sensitivity and method selection for QM/MM free energy calculations.

Main Methods:

  • Review of enhanced sampling techniques (e.g., replica-exchange, metadynamics) for umbrella sampling and molecular dynamics.
  • Application of alchemical free energy simulations and thermodynamic cycles.
  • Analysis of QM/MM-MFEP and perturbative correction methods for high-level QM/MM potentials.

Main Results:

  • Enhanced sampling techniques improve the efficiency and accuracy of QM/MM free energy calculations for chemical reactions.
  • Including collective environmental variables refines metadynamics simulations.
  • The inclusion of the first solvation shell impacts solvation free energy calculations.
  • Both QM/MM-MFEP and perturbative correction methods show promise for high-level QM/MM potentials, with caveats for the latter.

Conclusions:

  • Careful consideration of computational cost versus accuracy is crucial for QM/MM free energy simulations.
  • Advanced sampling and solvation shell inclusion are valuable strategies.
  • New methods for high-level QM/MM potentials offer productive avenues for research.