The thermodynamics of ammonium scheelites VI. An analysis of the heat capacity and ancillary values for the metaperiodates KIO 4, NH 4IO 4, and ND 4IO 4

Abstract

An analysis of the heat capacity of NH 4IO 4, ND 4IO 4, and KIO 4 has been carried out in which the effects of the anisotropy of the thermal expansion have been considered, an approach hitherto used successfully for the perrhenates KReO 4, NH 4ReO 4, and ND 4ReO 4. In the ammonium scheelites, the axial expansivities are very large, but of opposite sign, and as a result the molar volume of the scheelite lattice is nearly independent of temperature. It is shown that the correction from constant stress to constant strain results in a major contribution to the heat capacity of this highly anisotropic lattice. The difference between the experimental and calculated heat capacities, referred to as ΔC p , m, is expressed as the sum of the contributions from the anisotropy and the rotational heat capacity. The results of the analysis show that the rotational contribution is much smaller than had previously been thought. However, the exact contribution of the anisotropy cannot yet be calculated because the elastic constants are not known. In calculating the heat capacity, maximum use has been made of external optical-mode frequencies derived from spectroscopic measurements.