The Electrical Resistance of Dilute Solid Solutions
- 1 May 1936
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 32 (2) , 281-290
- https://doi.org/10.1017/s0305004100001845
Abstract
1. As is well known, the electrical resistance of a metal is very greatly in-creased by the addition of a second metal with which it forms a solid solution. The increase Δρ in the resistivity due to the addition of a small percentage of the second metal is in general independent of the temperature (Matthiessen's rule), though there are oertain exceptions (e.g. Cr in Au). The quaritum-mechanical explanation of both these facts was first given by Nordheim, and may be expressed as follows: the electrical conductivity of any metal may be written in the form where τ is the “time of relaxation”, equal to half the time between collisions, and N is the effective number of free electrons per unit volume: hence, for the resistivity, we haveKeywords
This publication has 10 references indexed in Scilit:
- A quantum mechanical investigation of the cohesive forces of metallic copperProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1935
- The conductivity of metalsProceedings of the Physical Society, 1934
- The optical properties of metalsMathematical Proceedings of the Cambridge Philosophical Society, 1934
- On the Constitution of Metallic SodiumPhysical Review B, 1933
- Eine statistische Methode zur Bestimmung einiger Eigenschaften des Atoms und ihre Anwendung auf die Theorie des periodischen Systems der ElementeThe European Physical Journal A, 1928
- Beitrag zur Theorie des Durchganges langsamer Elektronen durch GaseThe European Physical Journal A, 1927
- The calculation of atomic fieldsMathematical Proceedings of the Cambridge Philosophical Society, 1927
- Zwei Bemerkungen ber die Zerstreuung korpuskularer Strahlen als BeugungserscheinungThe European Physical Journal A, 1926
- Die optischen Konstanten einiger Metalle im UltrarotAnnalen der Physik, 1913
- Untersuchungen über Dispersion und Absorption bei Metallen für das sichtbare und ultraviolette SpektrumAnnalen der Physik, 1910