Open AccessAN ANALYTIC DERIVATION FOR THE MCMILLAN Tc FORMULA (I)——CASE OF μ*= 0
Author(s) -
Wu Hang-Sheng,
MAO DE-QIANG,
Gu Yi-Ming
Publication year - 1981
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.30.783
Subject(s) - conjecture , constant (computer programming) , physics , euler's formula , mathematical physics , pure mathematics , mathematical analysis , mathematics , computer science , programming language
In the case of μ* = 0, the following Tc formula is derived analytically from the Eliashberg equation Tc=αωlogexp{-b((1+cλ)/λ)}, where, α = 2γ/π, b = c =1 and In γ = C = 0.5772 which is the Euler constant.The formula obtained by the authors holds only when Tc is less than 0.36/ α (K), where a is a constant larger than 1 and differs from one material to another. We conjecture, it is very likely that, when Tc is larger than 0.36/a, the functional structure of the Tc formula differs from that of McMillan's or at least the parameters a, b, and c are no longer constants independent of materials.