Title




Superconducting transition temperatures of the elements related to elastic constants
 
Author




 
Abstract




For a given crystal structure, say bodycentredcubic, the manybody Hamiltonian H in which nuclear and electron motions are to be treated from the outset on the same footing, has parameters, for the elements, which can be classified as (i) atomic mass M, (ii) atomic number Z, characterizing the external potential in which electrons move, and (iii) bcc lattice spacing, or equivalently one can utilize atomic volume, Omega. Since the thermodynamic quantities can be determined from H, we conclude that Tc, the superconducting transition temperature, when it is nonzero, may be formally expressed as Tc=Tc((M)) (Z, Omega). One piece of evidence in support is that, in an atomic number vs. atomic volume graph, the superconducting elements lie in a well defined region. Two other relevant points are that (a) Tc is related by BCS theory, though not simply, to the Debye temperature, which in turn is calculable from the elastic constants C11, C12, and C44, the atomic weight and the atomic volume, and (b) Tc for five bcc transition metals is linear in the Cauchy deviation C*=(C12C44)/(C12+C44). Finally, via elastic constants, mass density and atomic volume, a correlation between C* and the Debye temperature is established for the five bee transition elements. 
 
Language




English
 
Source (journal)




European physical journal : B : condensed matter and complex systems.  Berlin
 
Publication




Berlin
:
2004
 
ISSN




14346028
[print]
14346036
[online]
 
Volume/pages




39
:4
(2004)
, p. 427431
 
ISI




000223608700002
 
Full text (Publisher's DOI)




 
Full text (publisher's version  intranet only)




 
