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We developed potential energy surfaces for oxygen molecule and nitrogen atom collisions, crucial for shock wave modeling. The neural network (NN) method with permutationally invariant polynomials (PIPs) showed superior fitting accuracy compared to the many-body (MB) method.

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Area of Science:

  • Computational Chemistry
  • Chemical Dynamics
  • Physical Chemistry

Background:

  • Accurate potential energy surfaces (PES) are essential for simulating chemical reactions under extreme conditions, such as in shock waves.
  • Modeling high-energy collisions between molecules and atoms, like oxygen (O2) and nitrogen (N), requires reliable PES for accurate dynamics calculations.

Purpose of the Study:

  • To develop and compare two sets of potential energy surfaces (PES) for collisions between O2(3Σg−) and N(4S).
  • To assess the fitting performance and computational efficiency of a neural network (NN) approach with permutationally invariant polynomials (PIPs) against a many-body (MB) method using PIPs and mixed-exponential-Gaussian bond order variables (MEGs).

Main Methods:

  • Developed doublet, quartet, and sextet PES using the electronically adiabatic approximation.
  • Employed two fitting strategies: 1) Neural Networks (NNs) with permutationally invariant polynomials (PIPs). 2) Least-squares many-body (MB) method with accurate diatomic potentials and PIP-MEG three-body terms.
  • Utilized a consistent dataset for training and evaluating both fitting methods.

Main Results:

  • The PIP-NN method demonstrated significantly superior fitting accuracy compared to the MB-PIP-MEG method, even when the latter used higher-order PIPs.
  • Despite better accuracy, the PIP-NN PES required approximately five times more computational time for trajectory calculations than the MB-PIP-MEG PES.

Conclusions:

  • The PIP-NN approach offers a highly accurate representation of the potential energy surfaces for O2-N collisions.
  • A trade-off exists between the accuracy of the PIP-NN method and the computational efficiency of the MB-PIP-MEG method for dynamics simulations.