An accurate analytic representation for the Bloch-Gruneisen integral

M. Deutsch

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

An analytic representation for the Bloch-Gruneisen integral, describing the electron-photon interaction contribution to the electrical resistivity of metals, is presented. The representation takes the form of an originally infinite series, truncated to K terms. The approximation is highly accurate yielding relative errors less than 1% for even a single term (K=1) for T<or= theta /4 and less than 0.1% with K=20 for all T<or=10 theta , where theta is the Debye temperature. The series approximation is shown to be superior to the previously suggested ninth-order polynomial in log( theta /T). Two other infinite series approximations are also discussed.

Original languageEnglish
Article number001
Pages (from-to)L811-L813
JournalJournal of Physics A: General Physics
Volume20
Issue number13
DOIs
StatePublished - 1987

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