Effects of Noncentral Force and an Electron Gas to the Cauchy Relation in Metals

1962 ◽  
Vol 17 (3) ◽  
pp. 577-578 ◽  
Author(s):  
Masao Shimizu ◽  
Hisayosi Niu
Keyword(s):  
Electron Gas ◽  
Cauchy Relation

Fuchs’s relations and the contribution of the free electrons to the elastic constants of metals

1962 ◽  
Vol 266 (1324) ◽  
pp. 122-129 ◽  
Keyword(s):  
Elastic Constant ◽  
Specific Heat ◽  
Elastic Constants ◽  
Electron Gas ◽  
Free Electrons ◽  
Cauchy Relation ◽  
Experimental Values ◽  
The Individual ◽  
Central Forces ◽  
Secular Determinant

The contribution of the central forces to the elastic constants of metals has been calculated by a new method from which Fuchs’s results for c 11 — c 12 , and c 44 can be obtained directly along with the individual constants c 11 and c 12 . The numerical values have been calculated for the four metals Cu, Li, Na and K . It is found that the Cauchy relation is not satisfied by the central interaction taken separately. The method of separating out the elastic constants due to central forces, which has been adopted by Fine, Leighton, Bauer and other workers on specific heat is shown to be unjustified. The contribution of free electrons to the elastic constants has been calculated by subtracting the central force elastic constants from the experimental values. As expected, the electron gas contributes only a single elastic constant which is not equal to the experimental Cauchy discrepancy. A method of setting up a secular determinant for the lattice frequencies of metals has been suggested.

Spectrum of a 2D electron gas in an inversion layer

1985 ◽  
Vol 146 (7) ◽  
pp. 531 ◽  
Author(s):  
Yu.A. Bychkov ◽  
E.I. Rashba
Keyword(s):  
Inversion Layer ◽  
Electron Gas

The dielectric constant of an interacting electron gas

1980 ◽  
Vol 130 (1) ◽  
pp. 65 ◽  
Author(s):  
V.D. Gorobchenko ◽  
Evgenii G. Maksimov
Keyword(s):  
Dielectric Constant ◽  
Electron Gas
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