Cryogenic heat-capacity determinations provide a useful tool for the determination of the energetic spectrum of condensed phases and also reveal information on their discrete electronic level structures as well. We have been interested in applying these techniques to actinide elements and have in recent months been working up the techniques to unravel the corresponding data for the lanthanide compounds--where opposite trends in cationic masses and molar volumes provide an opportunity to test theories useful for the resolution of excess heat capacity from lattice contributions.As an important aspect of heat capacities---especially of compounds with d andfelectrons--the Schottky contribution deserves to be much better known--by chemists, by physicists, and by students of thermodynamics. These remarks are designed to further that goal.
Schottky's "Orphaned" contributionWerner Schottky first showed in 1922 [1] that a contribution to the energetics--spectroscopic or thermophysical---of a substance could be expected from excited electronic levels. The splitting of the ground-level term by the crystalline electric field also gives rise to the appearance of such a "Schottky anomaly" or "Schottky contribution" either in the heat capacity or in other thermophysical properties. The manifestation of this contribution to the heat capacity is a characteristic bellshaped curve skewed out on the high-temperature side. The temperature of the peak is related to the energetic separation of the levels and the maximum height is determined by the ratio of the degeneracies. Moreover, the total entropy under the curve is also related to the number of levels and the degeneracies involved. When the electronic energy increments are sufficiently small, the Schottky anomaly occurs at so low a temperature that, in comparison to the lattice contribution, the Schottky contribution stands out clearly. When energy levels are sufficiently spread so as to cause the occurrence of the contribution near or above ambient temperature, the maximum is typically so spread out as to be unrecognized unless the heat capacities of isostructural substances with nearly identical atomic masses are used for John Wiley & Sons, Limited, Chichester Akad~miai Kiadr, Budapest