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Geometry Optimization with Machine Trained Topological Atoms.

François Zielinski1,2, Peter I Maxwell1,2, Timothy L Fletcher1,2

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A new machine learning method, FFLUX, optimizes molecular geometry using atomic energies, bypassing traditional potentials. This approach achieves high accuracy even with unseen data, demonstrating its potential in computational chemistry.

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Area of Science:

  • Computational Chemistry
  • Machine Learning in Chemistry
  • Quantum Chemistry

Background:

  • Traditional molecular geometry optimization relies on bonded potentials.
  • Developing accurate and efficient energy functions is crucial for computational chemistry.

Purpose of the Study:

  • To present and validate a novel energy function, FFLUX, for molecular geometry optimization.
  • To demonstrate the capability of FFLUX in predicting atomic energies for unseen molecular geometries.

Main Methods:

  • FFLUX utilizes topologically-partitioned atomic energies trained via kriging.
  • Machine learning (kriging) predicts Intermolecular Quantum Analysis (IQA) atomic energies.
  • Geometry optimization of a water molecule was performed using the FFLUX method.

Main Results:

  • FFLUX accurately optimized 2000 distorted geometries to within 0.28 kJ/mol of ab initio energies.
  • 50% of optimizations achieved sub-0.05 kJ/mol accuracy.
  • Kriging models demonstrated robustness, optimizing geometries outside the training data range.

Conclusions:

  • FFLUX provides a viable alternative to traditional bonded potentials for geometry optimization.
  • The method shows high accuracy and robustness, even with limited or out-of-distribution training data.
  • Analysis of energy components revealed independent behavior, offering chemical intuition distinct from standard force fields.