Student or educator? Sign up with your school email and get 6 months of Pro free.
CoChat
Sign Up
Cited by 797

The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.

Quantum-mechanical theory of stress and force

Nielsen, O. H., Martin, Richard M.·1985·Physical Review B
DOI 10.1103/physrevb.32.3780
Open this paper in CoChat — free account

Abstract

The stress theorem presented previously by the present authors is derived in detail and is related to the virial and force theorems. Stress fields are considered in two alternative forms, both of which give the same macroscopic stress and forces on nuclei when integrated over appropriate surfaces. A crucial concept is interactions that ``cross'' surfaces. Explicit forms of the stress field within the local-density approximation are given, together with a generalization of the approximate Liberman form for pressure. Reciprocal-space expressions and ab initio calculations are considered in detail in an accompanying paper.

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 · 10.1103/physrevb.32.3780

Cites

3 of 3 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 3 references

Cited by

See all 797

Metadata

Authors
Nielsen, O. H., & Martin, R. M.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1985-09-15
Volume
32
Issue
6
Pages
3780-3791
ISSN
0163-1829 (ISSN-L)
DOI
10.1103/physrevb.32.3780
OpenAlex
W2078321088
Cited by
797
References
3
FWCI
6.91
Type
journal article
Language
en
Open access
closed

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-mechanical theory of stress and force. https://app.cochat.ai/papers/10.1103/physrevb.32.3780
The paper
Nielsen, O. H., & Martin, R. M. (1985). Quantum-mechanical theory of stress and force. Physical Review B. https://doi.org/10.1103/physrevb.32.3780

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.