Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 410

The DOI matches its Crossref record.

Contributions to the Theory of Beta-Phase Alloys

Zener, Clarence·1947·Physical Review

Abstract

All alloys of the type of $\ensuremath{\beta}$-brass decrease their concentration range in the disordered state as the temperature is lowered. The original theory of Jones is shown to be inadequate, and the observed variation with temperature of the phase boundaries is shown to follow directly from the assumption that the $\ensuremath{\beta}$-phase has a slightly lower characteristic temperature than the neighboring phases.Beta-brass has an extremely high elastic anisotropy. This property is in part a result of an anomalously low value of $\frac{({C}_{11}\ensuremath{-}{C}_{12})}{2}$, which is shown to be interpretable in terms of lattice type and inter-ionic interactions. This interpretation also explains the positive value of the temperature coefficient of ${E}_{100}$.

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/physrev.71.846

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 410

Metadata

Authors
Zener, C.
Venue
Physical Review
Published
1947-06-15
Volume
71
Issue
12
Pages
846-851
ISSN
0031-899X (ISSN-L)
OpenAlex
W2041539495
Cited by
410
References
0
FWCI
22.50
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: Contributions to the Theory of Beta-Phase Alloys. https://app.cochat.ai/papers/10.1103/physrev.71.846
The paper
Zener, C. (1947). Contributions to the Theory of Beta-Phase Alloys. Physical Review. https://doi.org/10.1103/physrev.71.846

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.