The DOI matches its Crossref record.
One-dimensional dislocations. I. Static theory
Abstract
The theory of a one-dimensional dislocation model is developed. Besides acting as a pointer to developments of general dislocation theory, it has a variety of direct physical applications, particularly to monolayers on a crystalline substrate and to conditions in the edge row of a terrace of molecules in a growing crystal. Allowance is made in the theory for a difference in natural lattice-spacing between the surface layer or row and the substrate. The form and energy of single dislocations and of regular sequences of dislocations are calculated. Critical conditions for spontaneous generation (or escape) of dislocations are determined, and likewise the activation energies for such processes below the critical limits. Various physical applications of the model are discussed, and the physical parameters are evaluated with the aid of the Lennard-Jones force law for the above-mentioned principal applications.
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
Cited by
Quantum Dots and Their Multimodal Applications: A Review
Bera, D., Qian, L., Tseng, T.-K., & Holloway, P. H. (2010) · Materials · doi:10.3390/ma3042260 · Cited by 1,365
Classically exact overlayer dynamics: Diffusion of rhodium clusters on Rh(100)
Voter, A. F. (1986) · Physical Review B · doi:10.1103/physrevb.34.6819 · Cited by 490
The intrinsic stress of polycrystalline and epitaxial thin metal films
Koch, R. (1994) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/6/45/005 · Cited by 451
Engineered quantum dot single-photon sources
Buckley, S., Rivoire, K., & Vučković, J. (2012) · Reports on Progress in Physics · doi:10.1088/0034-4885/75/12/126503 · Cited by 431
Computational statistical mechanics methodology, applications and supercomputing
Abraham, F. F. (1986) · Advances in Physics · doi:10.1080/00018738600101851 · Cited by 306
Metadata
- Authors
- Frank, F. C., & van der Merwe, J. H.
- Venue
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1949-08-15
- Volume
- 198
- Issue
- 1053
- Pages
- 205-216
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W1967417957
- Cited by
- 1,523
- References
- 0
- FWCI
- 9.50
- 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: One-dimensional dislocations. I. Static theory. https://app.cochat.ai/papers/10.1098/rspa.1949.0095
- The paper
- Frank, F. C., & van der Merwe, J. H. (1949). One-dimensional dislocations. I. Static theory. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. https://doi.org/10.1098/rspa.1949.0095
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.
