Superconductivity and the Debye Characteristic Temperature

Launay, Jules de; Dolecek, R. L.

doi:10.1103/physrev.72.141

Cited by 20 publications

(8 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…3 (top panel), already given by de Launay and Dolecek [11] a decade before BCS theory, shows a relation between T c and Θ D , it is far from simple. And the triangle involving Ta, V and Nb modified from the 1947 figure of de Launay and Dolecek [11] shows no relation to the continuous curve.…”

Section: Background and Outlinementioning

confidence: 87%

“…Nevertheless, it suggests that one should re-open empirically the question of a correlation between T c and Θ D . Therefore, more generally than for the bcc transition metals, we have redrawn data by de Launay and Dolecek [11] in Fig. 3 (top panel), adding values for W and Mo.…”

Section: Background and Outlinementioning

confidence: 99%

“…Top: Superconducting transition temperatures versus Debye temperatures for numerous elements. Redrawn after Ref [11]…”

mentioning

confidence: 99%

See 2 more Smart Citations

Superconducting transition temperatures of the elements related to elastic constants

2004

View full text Add to dashboard Cite

For a given crystal structure, say body-centred-cubic, the many-body 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, Ω. Since the thermodynamic quantities can be determined from H, we conclude that Tc, the superconducting transition temperature, when it is non-zero, may be formally expressed asOne 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 * = (C12 − C44)/(C12 + C44). Finally, via elastic constants, mass density and atomic volume, a correlation between C * and the Debye temperature is established for the five bcc transition elements.PACS. 74.62.-c Transition temperature variations -74.70.Ad Metals; alloys and binary compounds

show abstract

Section: Background and Outlinementioning

confidence: 87%

Section: Background and Outlinementioning

confidence: 99%

See 1 more Smart Citation

Superconducting transition temperatures of the elements related to elastic constants

2004

View full text Add to dashboard Cite

show abstract

“…The possible relation between Debye temperature and superconducting critical temperature was also examined by de Launay and Dolecek in 1947 [13]. In their paper "Superconductivity and the Debye characteristic temperature" they plotted the critical temperature versus Debye temperature.…”

Section: Introductionmentioning

confidence: 95%

Superconductivity in the elements, alloys and simple compounds

Webb

Marsiglio

Hirsch

2015

Physica C: Superconductivity and its Applications

View full text Add to dashboard Cite

We give a brief review of superconductivity at ambient pressure in elements, alloys, and simple three-dimensional compounds. Historically these were the first superconducting materials studied, and based on the experimental knowledge gained from them the BCS theory of superconductivity was developed in 1957. Extended to include the effect of phonon retardation, the theory is believed to describe the subset of superconducting materials known as `conventional superconductors', where superconductivity is caused by the electron-phonon interaction. These include the elements, alloys and simple compounds discussed in this article and several other classes of materials discussed in other articles in this Special Issue.Comment: Accepted for publication in Physica C, Special Issue on Superconducting Material

show abstract

“…De Launay and Dolecek (Launay and Dolecek, 1947) De Launay and Dolecek (1947) shows no relation to the continuous curve.…”

Section: Methodsmentioning

confidence: 99%

Studies on Transition Temperature of the Superconducting Materials Related to Elastic Constants

Salam

Barua

Uddin

1970

Bangladesh J. Sci. Ind. Res.

View full text Add to dashboard Cite

For a face-centered-cubic structure crystal the parameters like atomic mass M, atomic number Z, lattice spacing are the important factors in the determination of a many body Hamiltonian H. Instead of using fcc lattice spacing we can also utilize atomic volume Ω. Using the superconducting transition temperature expressed as Tc = Tc(M)(Z,Ω), a well defined region in superconducting elements is possible. Tc may also be related to BCS theory through Debye temperature. This Debye temperature is related to elastic constants C11, C12 and C44, atomic weight and atomic volume. Also Tc for five fcc transitions metals is linear in the Cauchy deviation C* = (C12 - C44)/( C12 + C44), such linearity is also seen in bcc transition elements. Finally via elastic constants mass density and atomic volume, a correlation between C* and the Debye Ω temperature has been established for the five fcc transition elements. This correlation indirectly sets up a relation between transition temperature and elastic constant. Bangladesh J. Sci. Ind. Res. 42(2), 203-212, 2007

show abstract

Superconductivity and the Debye Characteristic Temperature

Cited by 20 publications

References 1 publication

Superconducting transition temperatures of the elements related to elastic constants

Superconducting transition temperatures of the elements related to elastic constants

Superconductivity in the elements, alloys and simple compounds

Studies on Transition Temperature of the Superconducting Materials Related to Elastic Constants

Contact Info

Product

Resources

About