Advantages to Conversion of Lattice Heat Capacity to Cv in the Resolution of Excess Properties The Ln2S3's as an example

This paper represents a fitting (modeling) of the temperature dependence of the Komada-Westrum characteristic temperature for those γ-, δ- and ε-phase lanthanide sesquisulfides for which the total heat capacities, including internal degrees of freedom (e.g., Schottky and magnetic contributions), were connected to the residue of only lattice vibrations yielding lattice heat-capacity contributions. These characteristic temperatures (θ_KW) at 298.15 K are seen to behave smoothly (nearly linearly) as a function of (cationic) atomic number within the region of stability of each phase as does the density. The trends between the phases also show some consistency but not predictability of one from the other. This revised version was published online in July 2006 with corrections to the Cover Date.     

Some Isoperimetric Inequalities in Electrochemistry and Hele Shaw Flows

Isoperimetric inequalities are applied to a moving-boundaryproblem for doubly-connected domains. This problem occurs forexample in electrochemistry, in which case the domains in questionare the electrolyte of an electrolytic cell. The two electrodessurrounding the electrolyte are assumed to grow or dissolve,at different rates in general, by electrochemical reaction.We obtain optimal estimates showing, for example, that the leastchange in volume of each electrode always occurs in sphericalsymmetry.