DOI: 10.1098/rspa.1953.0205. The propagation of electrons in a strained metallic lattice

The propagation of electrons in a strained metallic lattice

10.1098/rspa.1953.0205

Crossref journal-article

The Royal Society

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences (175)

Abstract

The propagation of electrons in a strained metallic medium is studied by a perturbation technique in which the perturbing potential is proportional to the elastic strain and not, as in the usual treatment, to the displacement. For slowly varying strains the perturbing potential is a deformation potential of the type introduced by Bardeen & Shockley (1950), in which the periodicity of the lattice does not appear explicitly. In the approximation of nearly free electrons, the contribution of the ionic lattice to the deformation potential depends only on the dilatation and not on the shear components. This potential is modified by a flow of electrons from the compressed regions of the lattice to the expanded regions. The resulting potential depends only on the Fermi energy of the electrons and not on their interaction with the lattice of ions. In a higher approximation, the effective mass of the electrons depends on their interaction with the ionic lattice. The contribution of this term is comparable with that already considered, and the shear components of the strain also influence the deformation potential. The method is applied to estimate the electrical resistivity produced by dislocations of edge and screw types present in sodium and copper. In copper screw dislocations add appreciably to the total resistivity.

Bibliography

The propagation of electrons in a strained metallic lattice. (1953). Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 220(1143), 542â561.

Authors 0

None

References 17 Referenced 103

Bardeen J. 1938 J .Chem. P hys. 6 367. (10.1063/1.1750270)
10.1103/PhysRev.80.72
Bloch F . 1928 Z .Phys. 52 555. (10.1007/BF01339455)
10.1103/PhysRev.86.770
Hunter S. C. 1953 Thesis University of Birmingham.
10.1103/PhysRev.76.1611
10.1103/PhysRev.60.397
10.1103/PhysRev.75.106
10.1103/PhysRev.82.520
Lucke K. 1948 Nachr. A kad.Wiss. (10.1515/juru.1948.1948.11-12.310)
10.1103/PhysRev.77.264
10.1038/166690a0
10.1002/andp.19314010507
{'key': 'p_14', 'first-page': '207', 'article-title': 'Proc. Roy', 'volume': '86', 'author': 'Rayleigh', 'year': '1912', 'journal-title': 'Soc. A'} / Soc. A / Proc. Roy by Rayleigh (1912)
{'key': 'p_15', 'first-page': '81', 'article-title': 'Philips', 'volume': '4', 'author': 'Saxon D. S.', 'year': '1949', 'journal-title': 'Res. Rep.'} / Res. Rep. / Philips by Saxon D. S. (1949)
Smart J. S. Smith A. A. & Phillips A. J. 1941 Trans. Amer. Inst. M in ( 143 272. (10.1007/BF01854453)
10.1103/PhysRev.43.804

Dates

Type	When
Created	18 years, 8 months ago (Dec. 18, 2006, 5:53 p.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 5:48 a.m.)
Indexed	2 months ago (July 1, 2025, 12:32 p.m.)
Issued	71 years, 8 months ago (Dec. 22, 1953)
Published	71 years, 8 months ago (Dec. 22, 1953)
Published Online	28 years, 8 months ago (Jan. 1, 1997)
Published Print	71 years, 8 months ago (Dec. 22, 1953)

Funders 0

None

BibTeX

@article{1953, volume={220}, ISSN={2053-9169}, url={http://dx.doi.org/10.1098/rspa.1953.0205}, DOI={10.1098/rspa.1953.0205}, number={1143}, journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences}, publisher={The Royal Society}, year={1953}, month=dec, pages={542–561} }

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