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Updated: Jan 15, 2026

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Transferability and interpretability of vibrational normalizing-flow coordinates.

Emil Vogt1, Álvaro Fernández Corral1,2, Yahya Saleh1,3

  • 1Center for Free-Electron Laser Science CFEL, Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607 Hamburg, Germany.

The Journal of Chemical Physics
|October 15, 2025
PubMed
Summary
This summary is machine-generated.

Normalizing-flow vibrational coordinates improve molecular calculations by learning molecule-specific transformations. These coordinates enhance accuracy, efficiency, and interpretability in vibrational dynamics and spectra analysis.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Molecular Spectroscopy

Background:

  • Vibrational coordinate choice impacts molecular calculation accuracy, efficiency, and interpretability.
  • Traditional coordinates can introduce complexity, hindering basis set convergence and motion interpretation.

Purpose of the Study:

  • To explore and analyze the utility, interpretation, and constraints of normalizing-flow vibrational coordinates.
  • To demonstrate the generalizability of these coordinates across different molecular systems.

Main Methods:

  • Utilizing recently proposed normalizing-flow vibrational coordinates.
  • Developing molecule-specific coordinate transformations optimized for a given basis set.
  • Analyzing the impact of these coordinates on basis-set convergence and interpretability.

Main Results:

  • Normalizing-flow coordinates offload complexity from basis functions to the coordinate transformation.
  • Improved basis-set convergence and enhanced interpretability of vibrational motions observed.
  • Demonstrated generalizability across different isotopologues and structurally related molecules with minimal fine-tuning.

Conclusions:

  • Normalizing-flow vibrational coordinates offer a promising approach for accurate and interpretable molecular vibrational calculations.
  • These coordinates represent a significant advancement in computational chemistry for analyzing molecular dynamics and spectra.
  • The generalizability suggests broad applicability in computational molecular science.