The DOI matches its Crossref record; 113 of the 113 references it cites were found in a registry or an index.
Quantum chemical accuracy from density functional approximations via machine learning
Open accessAbstract
Kohn-Sham density functional theory (DFT) is a standard tool in most branches of chemistry, but accuracies for many molecules are limited to 2-3 kcal ⋅ mol −1 with presently-available functionals. Ab initio methods, such as coupled-cluster, routinely produce much higher accuracy, but computational costs limit their application to small molecules. In this paper, we leverage machine learning to calculate coupled-cluster energies from DFT densities, reaching quantum chemical accuracy (errors below 1 kcal ⋅ mol −1 ) on test data. Moreover, density-based Δ -learning (learning only the correction to a standard DFT calculation, termed Δ -DFT ) significantly reduces the amount of training data required, particularly when molecular symmetries are included. The robustness of Δ -DFT is highlighted by correcting “on the fly” DFT-based molecular dynamics (MD) simulations of resorcinol (C 6 H 4 (OH) 2 ) to obtain MD trajectories with coupled-cluster accuracy. We conclude, therefore, that Δ -DFT facilitates running gas-phase MD simulations with quantum chemical accuracy, even for strained geometries and conformer changes where standard DFT fails.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Generalized Gradient Approximation Made Simple
Perdew, J. P., Burke, K., & Ernzerhof, M. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.3865 · Cited by 215,824
Self-citationProjector augmented-wave method
Blöchl, P. E. (1994) · Physical Review B · doi:10.1103/physrevb.50.17953 · Cited by 92,732
From ultrasoft pseudopotentials to the projector augmented-wave method
Kresse, G., & Joubert, D. (1999) · Physical Review B · doi:10.1103/physrevb.59.1758 · Cited by 85,307
Hohenberg, P., & Kohn, W. (1964) · Physical Review · doi:10.1103/physrev.136.b864 · Cited by 53,541
Dunning, T. H. (1989) · The Journal of Chemical Physics · doi:10.1063/1.456153 · Cited by 31,648
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials
Giannozzi, P., Baroni, S., Bonini, N., Calandra, M., Car, R., Cavazzoni, C., Ceresoli, D., Chiarotti, G. L., Cococcioni, M., Dabo, I., et al. (2009) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/21/39/395502 · Cited by 29,281
Development and testing of a general amber force field
Wang, J., Wolf, R. M., Caldwell, J. W., Kollman, P. A., & Case, D. A. (2004) · Journal of Computational Chemistry · doi:10.1002/jcc.20035 · Cited by 19,506
Efficient pseudopotentials for plane-wave calculations
Troullier, N., & Martins, J. L. (1991) · Physical Review B · doi:10.1103/physrevb.43.1993 · Cited by 16,148
Neese, F. (2012) · WIREs Computational Molecular Science · doi:10.1002/wcms.81 · Cited by 13,466
Density Functional Theory of Atoms and Molecules
Parr, R. G. (1980) · Horizons of Quantum Chemistry · doi:10.1007/978-94-009-9027-2_2 · Cited by 11,964
Cited by
Unke, O. T., Chmiela, S., Sauceda, H. E., Gastegger, M., Poltavsky, I., Schütt, K. T., Tkatchenko, A., & Müller, K.-R. (2021) · Chemical Reviews · doi:10.1021/acs.chemrev.0c01111 · Cited by 1,647
Self-citationCombining Machine Learning and Computational Chemistry for Predictive Insights Into Chemical Systems
Keith, J. A., Vassilev-Galindo, V., Cheng, B., Chmiela, S., Gastegger, M., Müller, K.-R., & Tkatchenko, A. (2021) · Chemical Reviews · doi:10.1021/acs.chemrev.1c00107 · Cited by 849
Self-citationGeometric deep learning on molecular representations
Atz, K., Grisoni, F., & Schneider, G. (2021) · Nature Machine Intelligence · doi:10.1038/s42256-021-00418-8 · Cited by 373
Exploring chemical compound space with quantum-based machine learning
von Lilienfeld, O. A., Müller, K.-R., & Tkatchenko, A. (2020) · Nature Reviews Chemistry · doi:10.1038/s41570-020-0189-9 · Cited by 369
Self-citationMachine learning in materials science: From explainable predictions to autonomous design
Pilania, G. (2021) · Computational Materials Science · doi:10.1016/j.commatsci.2021.110360 · Cited by 281
Metadata
- Authors
- Bogojeski, M., Vogt-Maranto, L., Tuckerman, M. E., Müller, K.-R., & Burke, K.
- Venue
- Nature Communications
- Published
- 2020-10-16
- Volume
- 11
- Issue
- 1
- Pages
- 5223-5223
- ISSN
- 2041-1723 (ISSN-L)
- OpenAlex
- W3093036756
- Cited by
- 384
- References
- 113
- FWCI
- 19.69
- Type
- journal article
- Language
- en
- Open access
- gold
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Quantum chemical accuracy from density functional approximations via machine learning. https://app.cochat.ai/papers/10.1038/s41467-020-19093-1
- The paper
- Bogojeski, M., Vogt-Maranto, L., Tuckerman, M. E., Müller, K.-R., & Burke, K. (2020). Quantum chemical accuracy from density functional approximations via machine learning. Nature Communications. https://doi.org/10.1038/s41467-020-19093-1
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.