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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 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...
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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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Elastic potential energy is the energy stored as a result of the deformation of an elastic object, such as the stretching of a spring. An object is elastic if it returns to its original shape and size after being deformed. 
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Force can be calculated from the expression for potential energy, which is a function of position. The component of a conservative force, in a particular direction, equals the negative of the derivative of the corresponding potential energy with respect to the displacement in that direction. For regions where potential energy changes rapidly with displacement, the work done and force is maximum. Also, when force is applied along the positive coordinate axis, the potential energy decreases with...
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Fast Near Ab Initio Potential Energy Surfaces Using Machine Learning.

Fenris Lu1, Lixue Cheng2, Ryan J DiRisio1

  • 1Department of Chemistry, University of Washington, Seattle, Washington 98195, United States.

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|June 17, 2022
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Summary
This summary is machine-generated.

A new machine-learning method (MOB-ML) achieves high accuracy for quantum mechanical calculations at a lower cost. This approach, combined with neural networks, efficiently models molecular potential energy surfaces for vibrational state studies.

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Area of Science:

  • Computational Chemistry
  • Quantum Mechanics
  • Machine Learning

Background:

  • Accurate potential energy surfaces are crucial for studying molecular vibrations.
  • Traditional methods for generating these surfaces are computationally expensive.
  • Machine learning offers a promising avenue for accelerating these calculations.

Purpose of the Study:

  • To develop a cost-effective machine-learning approach for evaluating potential energies in quantum mechanical studies.
  • To enable accurate calculations of ground and excited vibrational states for small molecules.
  • To create novel potential energy surfaces for systems lacking them, such as C2H5+.

Main Methods:

  • Utilized molecular-orbital-based machine learning (MOB-ML) to achieve CCSD(T) accuracy at Hartree-Fock cost.
  • Developed GPU-accelerated Neural Network Potential Energy Surfaces (NN-PES) trained on MOB-ML energies from Diffusion Monte Carlo (DMC) simulations.
  • Employed the combined NN+(MOB-ML) approach for variational and DMC calculations on water, CH5+, and C2H5+.
  • Trained MOB-ML models using geometries from ab initio molecular dynamics (AIMD) trajectories at various temperatures.

Main Results:

  • The NN+(MOB-ML) method accurately reproduced vibrational states of water and ground states of CH5+ and its isotopologues.
  • A new potential surface for C2H5+ was generated, enabling exploration of its CH stretching vibrations.
  • Models trained with higher energy structures showed comparable results for C2H5+.
  • The computational cost was significantly reduced without sacrificing accuracy.

Conclusions:

  • The NN+(MOB-ML) approach provides a highly efficient and accurate method for constructing molecular potential energy surfaces.
  • This technique significantly lowers the barrier for complex quantum mechanical studies of molecular vibrations.
  • The developed method opens possibilities for studying novel molecular systems and reaction dynamics.