Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 321

The DOI matches its Crossref record.

General Expression for the Density Effect for the Ionization Loss of Charged Particles

Sternheimer, R. M., Peierls, R. F.·1971·Physical Review B

Abstract

This paper presents a simple reformulation of the expression for the density effect correction $\ensuremath{\delta}$, i. e., the reduction in the ionization loss of fast charged particles due to the dielectric polarization of the medium. The general expression for $\ensuremath{\delta}$ thus obtained is applicable to both condensed materials and gases. Its accuracy is such that the resulting values of the ionization loss $\frac{\mathrm{dE}}{\mathrm{dx}}$ are expected to have a maximum error of less than 2% throughout the range of momenta where the density effect is important.

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.3.3681

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.

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

Cited by

See all 321

Metadata

Authors
Sternheimer, R. M., & Peierls, R. F.
Venue
Physical Review B
Published
1971-06-01
Volume
3
Issue
11
Pages
3681-3692
ISSN
0556-2805 (ISSN-L)
OpenAlex
W3149072905
Cited by
321
References
0
FWCI
8.94
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: General Expression for the Density Effect for the Ionization Loss of Charged Particles. https://app.cochat.ai/papers/10.1103/physrevb.3.3681
The paper
Sternheimer, R. M., & Peierls, R. F. (1971). General Expression for the Density Effect for the Ionization Loss of Charged Particles. Physical Review B. https://doi.org/10.1103/physrevb.3.3681

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.