Equivariant machine learning of electric field gradients—Predicting the quadrupolar coupling constant in the MAPbI3 phase transition

B Bernhard Schmiedmayer (Faculty of Physics and Center for Computational Materials Science, University of Vienna 1 , Kolingasse 14-16, A-1090 Vienna,) J Jop W. Wolffs (Institute for Molecules and Materials, Radboud University 2 , Heyendaalseweg 135, 6525 AJ Nijmegen,) G Gilles A. de Wijs (Institute for Molecules and Materials, Radboud University 2 , Heyendaalseweg 135, 6525 AJ Nijmegen,) A Arno P. M. Kentgens (Institute for Molecules and Materials, Radboud University 2 , Heyendaalseweg 135, 6525 AJ Nijmegen,) J Jonathan Lahnsteiner (VASP Software GmbH 3 , Berggasse 21/14, A-1090 Vienna,) G Georg Kresse (Faculty of Physics and Center for Computational Materials Science, University of Vienna 1 , Kolingasse 14-16, A-1090 Vienna,)

Abstract

We present a strategy combining machine learning and first-principle calculations to achieve highly accurate nuclear quadrupolar coupling constant predictions. Our approach employs two distinct machine-learning frameworks: a machine-learned force field to generate molecular dynamics trajectories and a second model for electric field gradients that preserves rotational and translational symmetries. By incorporating thermostat-driven molecular dynamics sampling, we enable the prediction of quadrupolar coupling constants in highly disordered materials at finite temperatures. We validate our method by predicting the tetragonal-to-cubic phase transition temperature of the organic–inorganic halide perovskite MAPbI3, obtaining results that closely match experimental data.

Article Details

Volume / Issue Vol. 163, Issue 21
Published December 07, 2025
ISSN 0021-9606
Publisher American Institute of Physics

Journal Info

The Journal of Chemical Physics

American Institute of Physics

ISSN: 0021-9606 Physical Sciences

Authors (6)

B

Bernhard Schmiedmayer

Faculty of Physics and Center for Computational Materials Science, University of Vienna 1 , Kolingasse 14-16, A-1090 Vienna,

J

Jop W. Wolffs

Institute for Molecules and Materials, Radboud University 2 , Heyendaalseweg 135, 6525 AJ Nijmegen,

G

Gilles A. de Wijs

Institute for Molecules and Materials, Radboud University 2 , Heyendaalseweg 135, 6525 AJ Nijmegen,

A

Arno P. M. Kentgens

Institute for Molecules and Materials, Radboud University 2 , Heyendaalseweg 135, 6525 AJ Nijmegen,

J

Jonathan Lahnsteiner

VASP Software GmbH 3 , Berggasse 21/14, A-1090 Vienna,

G

Georg Kresse

Faculty of Physics and Center for Computational Materials Science, University of Vienna 1 , Kolingasse 14-16, A-1090 Vienna,