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Energy diagrams are important to understand the dynamics of a system. The topology of an energy diagram helps illustrate the equilibrium points of the system.
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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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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.
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Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
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Adaptive density-guided approach to double incremental potential energy surface construction.

Denis G Artiukhin1, Emil Lund Klinting1, Carolin König2

  • 1Department of Chemistry, Aarhus Universitet, DK-8000 Aarhus, Denmark.

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|March 9, 2021
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Summary
This summary is machine-generated.

This study introduces a new computational method combining incremental expansion and density-guided approaches for accurate potential energy surface construction. The method significantly reduces computational cost for molecular systems, including challenging strongly interacting ones.

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Area of Science:

  • Computational Chemistry
  • Theoretical Chemistry
  • Quantum Chemistry

Background:

  • Potential energy surfaces (PES) are crucial for understanding molecular behavior and dynamics.
  • Accurate PES construction is computationally demanding, especially for larger or strongly interacting systems.
  • Existing methods often face limitations in efficiency and applicability.

Purpose of the Study:

  • To develop a computationally efficient and accurate method for constructing potential energy surfaces.
  • To validate the new methodology on moderate-size molecular systems.
  • To assess the applicability of the method to challenging molecular interactions.

Main Methods:

  • Combining double incremental expansion of potential energy surfaces with an adaptive density-guided grid construction approach.
  • Utilizing n-mode expansion and an incremental many-body representation of electronic energy.
  • Employing a vibrational density-guided approach for automated grid determination.

Main Results:

  • The method was validated by calculating PES and fundamental excitation energies for three chain-like molecular systems.
  • Significant computational savings were achieved compared to standard PES construction approaches.
  • High accuracy in the resulting potential energy surfaces was maintained.

Conclusions:

  • The presented methodology offers a robust and flexible approach to potential energy surface construction.
  • It provides considerable computational savings without compromising the accuracy of vibrational spectra calculations.
  • The method is applicable to covalently bound and strongly interacting molecular systems, overcoming limitations of fragmentation schemes.