Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 258

The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.

Communication: Fitting potential energy surfaces with fundamental invariant neural network

Open access
Shao, Kejie, Chen, Jun, Zhao, Zhiqiang, Zhang, Dong H.·2016·The Journal of Chemical Physics

Abstract

A more flexible neural network (NN) method using the fundamental invariants (FIs) as the input vector is proposed in the construction of potential energy surfaces for molecular systems involving identical atoms. Mathematically, FIs finitely generate the permutation invariant polynomial (PIP) ring. In combination with NN, fundamental invariant neural network (FI-NN) can approximate any function to arbitrary accuracy. Because FI-NN minimizes the size of input permutation invariant polynomials, it can efficiently reduce the evaluation time of potential energy, in particular for polyatomic systems. In this work, we provide the FIs for all possible molecular systems up to five atoms. Potential energy surfaces for OH3 and CH4 were constructed with FI-NN, with the accuracy confirmed by full-dimensional quantum dynamic scattering and bound state calculations.

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.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1063/1.4961454

Cites

21 of 21 references verified0 citation errors · 0 not checkable

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.

A few free checks a day · papers already verified open instantly · results are public

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

Show all 21 references

Cited by

See all 258

Metadata

Authors
Shao, K., Chen, J., Zhao, Z., & Zhang, D. H.
Venue
The Journal of Chemical Physics
Published
2016-08-17
Volume
145
Issue
7
Pages
071101-071101
ISSN
  • 0021-9606 (ISSN-L)
  • 1089-7690
OpenAlex
W2511310272
Cited by
258
References
21
FWCI
6.67
Type
journal article
Language
en
Open access
bronze

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: Communication: Fitting potential energy surfaces with fundamental invariant neural network. https://app.cochat.ai/papers/10.1063/1.4961454
The paper
Shao, K., Chen, J., Zhao, Z., & Zhang, D. H. (2016). Communication: Fitting potential energy surfaces with fundamental invariant neural network. The Journal of Chemical Physics. https://doi.org/10.1063/1.4961454

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.