Abstract
De Launay's theory of the electronic contribution to the elastic constants of metals differs considerably from that of Fuchs. It is shown that de Launay's theory is a special case of Fuch's theory which is quite general. De Launay's theory contains the implicit assumption that the crystal is separately in equilibrium under the action of the electronic and ionic terms in the free energy density. This assumption is tested for a number of metals by calculating the contribution to the first and second order elastic constants from the free electron terms in the energy density. The first order elastic constants are found to be of the same order of magnitude as the second order elastic constants, and hence the assumption made in de Launay's theory is not justified.
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