Modeling the dielectric constants of crystals using machine learning

Kazuki Morita, Daniel W. Davies, Keith T. Butler, Aron Walsh

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


The relative permittivity of a crystal is a fundamental property that links microscopic chemical bonding to macroscopic electromagnetic response. Multiple models, including analytical, numerical, and statistical descriptions, have been made to understand and predict dielectric behavior. Analytical models are often limited to a particular type of compound, whereas machine learning (ML) models often lack interpretability. Here, we combine supervised ML, density functional perturbation theory, and analysis based on game theory to predict and explain the physical trends in optical dielectric constants of crystals. Two ML models, support vector regression and deep neural networks, were trained on a dataset of 1364 dielectric constants. Analysis of Shapley additive explanations of the ML models reveals that they recover correlations described by textbook Clausius-Mossotti and Penn models, which gives confidence in their ability to describe physical behavior, while providing superior predictive power.

Original languageEnglish
Article number024503
JournalJournal of Chemical Physics
Issue number2
Publication statusPublished - 2020 Jul 14

Bibliographical note

Funding Information:
The authors thank financial support from the Yoshida Scholarship Foundation, the Japan Student Services Organization, and the Centre for Doctoral Training on Theory and Simulation of Materials at Imperial College London. This research was also supported by the Creative Materials Discovery Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT (Grant No. 2018M3D1A1058536). Through our membership of the UK’s HEC Materials Chemistry Consortium, which is funded by the EPSRC (Grant No. EP/L000202), this work used the ARCHER UK National Supercomputing Service (

Publisher Copyright:
© 2020 Author(s).

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry


Dive into the research topics of 'Modeling the dielectric constants of crystals using machine learning'. Together they form a unique fingerprint.

Cite this