Cited by 5,010Machine Learning in Materials ScienceAdvanced Chemical Physics StudiesModel Reduction and Neural Networks

Generalized Neural-Network Representation of High-Dimensional Potential-Energy Surfaces

Behler, Jörg, Parrinello, Michele·2007·Physical Review Letters

Abstract

The accurate description of chemical processes often requires the use of computationally demanding methods like density-functional theory (DFT), making long simulations of large systems unfeasible. In this Letter we introduce a new kind of neural-network representation of DFT potential-energy surfaces, which provides the energy and forces as a function of all atomic positions in systems of arbitrary size and is several orders of magnitude faster than DFT. The high accuracy of the method is demonstrated for bulk silicon and compared with empirical potentials and DFT. The method is general and can be applied to all types of periodic and nonperiodic systems.

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Crossref · 10.1103/physrevlett.98.146401

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References 17 · Cited by 5,010

Authors
Behler, J., & Parrinello, M.
Affiliations
ETH Zurich (CH)
Venue
Physical Review Letters
Published
2007-04-02
Volume
98
Issue
14
Pages
146401-146401
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2025444507
Cited by
5,010
References
17
Citations by year
2026: 636 · 2025: 795 · 2024: 702 · 2023: 669 · 2022: 495 · 2021: 494 · 2020: 449 · 2019: 265 · 2018: 186 · 2017: 139 · 2016: 52 · 2015: 36 · 2014: 19 · 2013: 25 · 2012: 18
FWCI
3.13
Type
journal article
Language
en
Open access
closed
Locations
  • Physical Review Letters (publishedVersion)
  • PubMed (publishedVersion)
Topics
  • Physical Sciences › Materials Science › Materials Chemistry › Machine Learning in Materials Science
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Model Reduction and Neural Networks
Keywords
neural network representations, potential energy surface, density functional theory, atomic forces, computational efficiency, bulk silicon, empirical potentials, periodic systems, non-periodic systems

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