STRUCTURES25 Documentation

Welcome to the documentation for STRUCTURES25! This package enables Orbital-Free Density Functional Theory (OF-DFT) calculations by learning the kinetic energy functional from data using equivariant graph neural networks. For more information on the installation and usage, please refer to our GitHub repository.

STRUCTURES25 Overview

The code is based on our publication Stable and Accurate Orbital-Free Density Functional Theory Powered by Machine Learning. To cite STRUCTURES25 in your work, please use the following BibTeX entry:

@article{Remme_Stable_and_Accurate_2025,
    author = {Remme, Roman and Kaczun, Tobias and Ebert, Tim and Gehrig, Christof A. and
              Geng, Dominik and Gerhartz, Gerrit and Ickler, Marc K. and Klockow, Manuel V. and
              Lippmann, Peter and Schmidt, Johannes S. and Wagner, Simon and Dreuw, Andreas and
              Hamprecht, Fred A.},
    title = {Stable and Accurate Orbital-Free Density Functional Theory Powered by Machine Learning},
    journal = {Journal of the American Chemical Society},
    year = {2025},
    volume = {147},
    number = {32},
    pages = {28851--28859},
    doi = {10.1021/jacs.5c06219},
    url = {https://doi.org/10.1021/jacs.5c06219}
}

Subpackages

mldft.api

API subpackage for STRUCTURES25.

mldft.datagen

Subpackage for Kohn-Sham calculations, density fitting and training data generation.

mldft.ml

The machine learning subpackage of mldft.

mldft.ofdft

Subpackage containing OFDFT implementation.

mldft.utils

Utility functions and classes.

References

[M-OFDFT]

Zhang, H.; Liu, S.; You, J.; Liu, C.; Zheng, S.; Lu, Z.; Wang, T.; Zheng, N.; Shao, B.: “Overcoming the barrier of orbital-free density functional theory for molecular systems using deep learning.” Nat Comput Sci 4, 210–223 (2024). https://doi.org/10.1038/s43588-024-00605-8

[Graphormer]

Chengxuan Ying, Tianle Cai, Shengjie Luo, Shuxin Zheng, Guolin Ke, Di He, Yanming Shen, Tie-Yan Liu: “Do Transformers really perform badly for graph representation?”. Advances in Neural Information Processing Systems, 34:28877–28888, 2021.

Indices and tables