The curvature in conductivity plots of silver halides as a consequence of anharmonicity

Abstract By assuming that the creation of a vacancy is accompanied by a local dilatation, the free energy of formation has been determined. Taking the thermal expansivity into account, the corresponding formation enthalpy and entropy were found to be temperature dependent. The same holds for migration enthalpy and entropy. It is shown that this temperature dependence of the above quantities must be partially responsible for the curvature in the conductivity plot of alkali, and silver, halides which has been experimentally observed. For KCl a conductivity deviation of 12% could be attributed to the above effect.

[1]  D. Schuele,et al.  The pressure and temperature derivatives of the elastic constants of AgBr AND AgCl , 1970 .

[2]  B. Stoicheff,et al.  Determination of the Elastic Constants of Xenon Single Crystals by Brillouin Scattering , 1971 .

[3]  B. Dayal,et al.  Lattice Constants and Thermal Expansion of AgCl up to 878 °C by X-Ray Method , 1964, 1964.

[4]  G. Dienes,et al.  ON THE THEORY OF DEFECT CONCENTRATION IN CRYSTALS , 1954 .

[5]  P. Süptitz Die Diffusion und der Isotopeneffekt von Na22 und Na24 in Silberchlorid , 1965 .

[6]  H. B. Huntington The Elastic Constants of Crystals , 1958 .

[7]  L. Slifkin,et al.  Temperature dependence of Frenkel-defect formation energy deduced from diffusion of sodium in silver chloride , 1975 .

[8]  P. Varotsos,et al.  Calculation of the formation entropy of vacancies due to anharmonic effects , 1977 .

[9]  H. D. Merchant,et al.  Thermal expansion of alkali halides above 300°K , 1973 .

[10]  M. Chemla,et al.  Vacancy pairs and correlation effects in KCl and NaCl single crystals , 1975 .

[11]  J. Aboagye,et al.  Anomalous high-temperature ionic conductivity in the silver halides , 1975 .

[12]  P. Jacobs,et al.  Ionic conductivity of silver chloride single crystals , 1972 .

[13]  P. Müller Zur Berechnung der Fehlordnung in Silberhalogeniden , 1967 .

[14]  H. B. Huntington Mobility of Interstitial Atoms in a Face-Centered Metal , 1953 .

[15]  B. Stoicheff,et al.  Observed Differences in Zero- and First-Sound Propagation in Solid Krypton , 1973 .

[16]  C. Zener Theory of Do for Atomic Diffusion in Metals , 1951 .

[17]  L. Slifkin,et al.  Anion self-diffusion in AgCl and AgBr by both single vacancies and vacancy pairs , 1976 .

[18]  L. S. Cain,et al.  The elastic constants and their temperature and pressure derivatives of AgBr-AgCl mixed crystals , 1976 .