Anharmonic contribution to the entropy of solids. Analysis of KF

A method is described for analysing the explicit anharmonic contribution to the entropy which is obtained from experimental Cp data. It is known that there exists a temperature interval in which the experimental entropy at fixed volume, Sexp(V0, T), fulfils Salter's expansion; it is called the apparent quasiharmonic region. According to Barron's frequency shift, the anharmonic contribution to the entropy is found to be Delta Sanh(V0, T)=(A(V0)/3NK)EvCv where A(V0) is a constant characteristic of the crystal, EvCv is fitted in the apparent quasiharmonic region to an expansion, Sigma n=0infinity anT-2n, up to a temperature T. For T>T, the difference between the experimental values and the extrapolated values, obtained with the Salter expansion, is called Delta Sexpanh(V0, T) and therefore is equal to the difference between the anharmonic contribution to the experimental entropy and the anharmonic contribution to the extrapolated entropy. The method is applied to KF, and A=(-2.1+or-0.5)10-5K-1 is found. In the potassium halides the absolute value of A theta (2) is found to decrease when the radius of halide ion increases.

[1]  A. Leadbetter,et al.  Anharmonic effects in the thermodynamic properties of solids VI. Germanium: heat capacity between 30 and 500 °C and analysis of data , 1969 .

[2]  D. Newsham,et al.  Anharmomic effects in the thermodynamic properties of solids V. Analysis of data for NaCl, KCl and KBr , 1969 .

[3]  A. Leadbetter Anharmonic effects in the thermodynamic properties of solids II. Analysis of data for lead and aluminium , 1968 .

[4]  J. T. Lewis,et al.  Elastic Constants of the Alkali Halides at 4.2°K , 1967 .

[5]  D. Newsham Anharmonic Contributions to the Heat Capacities of Silicon and Germanium , 1966 .

[6]  Douglas L. Martin Analysis of Alkali-Metal Specific-Heat Data , 1965 .

[7]  J. A. Morrison,et al.  The thermal properties of alkali halide crystals IV. Analysis of thermal expansion measurements , 1964, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[8]  M. Tosi,et al.  Temperature Dependence of the Debye Temperatures for the Thermodynamic Functions of Alkali Halide Crystals , 1963 .

[9]  G. Leibfried,et al.  Zur Temperaturabhängigkeit der elastischen Konstanten von Alkalihalogenidkristallen , 1958 .

[10]  L. Salter On the thermodynamics of crystalline lattices , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[11]  K. Pitzer,et al.  Thermodynamics of the System KHF2-KF-HF, Including Heat Capacities and Entropies of KHF2 and KF. The Nature of the Hydrogen Bond in KHF2 , 1949 .