Abstract
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.
Reference12 articles.
1. B auer E. 1953
2. Bender O. 1939
3. Phys.Rev. 92 58. A n n .Phys. L pz. 34 359.
4. Vibration Spectra and Specific Heats of Cubic Metals. I. Theory and Application to Sodium
5. Blackm an M. 1955 Encyclopedia of physics vol. 7 p t. I p. 369. Berlin: Springer Verlag.
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