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The electrical conductivity of thin wires
Abstract
In the first part of this paper, simple approximate methods have been developed for evaluating the electrical conductivity of films and wires of a size comparable with the mean free path of the conduction electrons. In the second part, a rigorous theory has been given of the electrical conductivity of a thin wire, on the assumptions that the Fermi velocity surface is spherical and that the collisions of the electrons at the surface of the wire are inelastic. In the third part of the paper, this theory has been generalized to cover the case where the scattering is no longer inelastic. In the final part, Andrew’s recent experimental results for a thin mercury wire have been fitted to the theoretical curves obtained, and the mean free path evaluated.
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Citations
Cited by
The mean free path of electrons in metals
Sondheimer, E. H. (1952) · Advances in Physics · doi:10.1080/00018735200101151 · Cited by 2,614
Nanoscale thermal transport. II. 2003–2012
Cahill, D. G., Braun, P. V., Chen, G., Clarke, D. R., Fan, S., Goodson, K. E., Keblinski, P., King, W. P., Mahan, G. D., Majumdar, A., et al. (2014) · Applied Physics Reviews · doi:10.1063/1.4832615 · Cited by 1,763
Flexible Sensing Electronics for Wearable/Attachable Health Monitoring
Wang, X., Liu, Z., & Zhang, T. (2017) · Small · doi:10.1002/smll.201602790 · Cited by 1,075
Flexible transparent conductive materials based on silver nanowire networks: a review
Langley, D., Giusti, G., Mayousse, C., Celle, C., Bellet, D., & Simonato, J.-P. (2013) · Nanotechnology · doi:10.1088/0957-4484/24/45/452001 · Cited by 709
Bid, A., Bora, A., & Raychaudhuri, A. K. (2006) · Physical Review B · doi:10.1103/physrevb.74.035426 · Cited by 414
Metadata
- Authors
- Dingle, R. B.
- Venue
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1950-05-23
- Volume
- 201
- Issue
- 1067
- Pages
- 545-560
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W2042064381
- Cited by
- 352
- References
- 0
- FWCI
- 2.62
- Type
- journal article
- Language
- en
- Open access
- closed
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- Dingle, R. B. (1950). The electrical conductivity of thin wires. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. https://doi.org/10.1098/rspa.1950.0077
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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.
