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Summary The effect on specific heat of including exchange terms in the expression for the electronic energy of a free electron gas is discussed. Previous work is considered ; the only full discussion (Koppe 1947)contains a number of algebraical errors. When these are corrected the theoretical expression for specific heat becomes, for sodium, over a wide temperature range, γ being the Sommerfeld factor (§2). This relation is in disagreement with observation, due to the approximation implied in the use of a one-electron wave function. In § 3 Landsberg's tentative suggestion (1949) for estimating the effects of correlation forces is considered in relation to the present problem, a screened rather than a simple Coulomb potential being used in the exchange integral. The value of the screening constant required to restore approximate agreement with observed specific heats is found to be of the same order of magnitude as that derived from the soft X-ray emission spectrum.
E.P. Wohlfarth (Thu,) studied this question.
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