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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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Potential Energy00:52

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The energy stored by a structure and location of matter in space is called potential energy. For instance, raising a kettlebell changes its spatial location and increases its potential energy. Similarly, a stretched rubber band contains potential energy which, under certain conditions, can be converted into other forms of energy, such as kinetic energy.
Chemical bonds that form attractive forces between atoms also contain potential energy, called chemical energy. When a chemical reaction...
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Potential Energy01:09

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A conservative force, such as a gravitational or elastic force, gives the body the capacity to do work. This capacity, measured as the potential energy, depends on the body's location or “position” relative to a fixed reference position or datum. The gravitational potential energy is considered zero at the reference point. Suppose a body is located at some vertical distance above a fixed horizontal reference or datum. In that case, the weight of the body has positive gravitational potential...
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Potential-Energy Criterion for Equilibrium01:16

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Potential energy or potential function plays an essential role in determining the stability of a mechanical system. If a system is subjected to both gravitational and elastic forces, the potential function of the system can be expressed as the algebraic sum of gravitational and elastic potential energy. If the system is in equilibrium and is displaced by a small amount, then the work done on the system equals the negative of the change in the system's potential energy from the initial to the...
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Free-energy diagrams, or reaction coordinate diagrams, are graphs showing the energy changes that occur during a chemical reaction. The reaction coordinate represented on the horizontal axis shows how far the reaction has progressed structurally. Positions along the x-axis close to the reactants have structures resembling the reactants, while positions close to the products resemble the products.  Peaks on the energy diagram represent stable structures with measurable lifetimes, while...
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In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.
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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Advanced potential energy surfaces for condensed phase simulation.

Omar Demerdash1, Eng-Hui Yap, Teresa Head-Gordon

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This summary is machine-generated.

Advanced computational models improve molecular simulations by accounting for many-body interactions. This review explores potential energy surface models to balance accuracy and speed for complex systems.

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Area of Science:

  • Computational chemistry and physics
  • Molecular modeling and simulation

Background:

  • Significant advancements in computational modeling at atomistic and mesoscopic levels over the past decade.
  • The challenge of accurately representing many-body intermolecular interactions in simulations.
  • Limitations of pairwise-additive models and the need for improved classical models.

Purpose of the Study:

  • To review a hierarchy of potential energy surface (PES) models for molecular simulations.
  • To identify models that balance accuracy and computational speed for systems with many degrees of freedom.
  • To define an optimal "sweet spot" for PES model selection based on scientific objectives.

Main Methods:

  • Review of existing literature on potential energy surface models.
  • Analysis of the trade-offs between accuracy and computational cost for various models.
  • Categorization of models based on their ability to capture many-body effects.

Main Results:

  • Identification of a hierarchy of PES models with varying degrees of complexity and accuracy.
  • Discussion of the computational cost implications of incorporating many-body effects.
  • Highlighting the challenges in achieving statistical convergence with advanced models.

Conclusions:

  • The selection of an appropriate PES model is crucial for accurate and efficient molecular simulations.
  • Advanced classical models offer improved accuracy but at a higher computational expense.
  • Defining a "sweet spot" is essential for selecting the best model for specific scientific problems.