On the Dynamical Theory of Diffusion in Crystals. II. Pressure Dependence of the Self-Diffusion Constant
- 1 July 1959
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 31 (1) , 139-145
- https://doi.org/10.1063/1.1730281
Abstract
A dynamical theory of diffusion developed previously is extended to the study of the pressure dependence of the self‐diffusion constant. It is shown that in the limit of low pressures there exists a law of corresponding states of the form ln D ∝T m /T where Tm is the melting temperature of the crystal. It is further shown that the temperature and pressure derivatives of the self‐diffusion coefficient are related as ΔH†=(ΔH m /ΔV m )ΔV† with a dagger referring to activated quantities and a subscript m to fusion parameters. Application of the theory is made to Na and Pb. For Pb, the computed heat of activation is 24 300 cal to be compared with the experimental value of 24 210 cal.Keywords
This publication has 9 references indexed in Scilit:
- Effect of Pressure on Self-Diffusion in LeadThe Journal of Chemical Physics, 1959
- Thermal Conductivity of Water at High PressuresThe Journal of Chemical Physics, 1959
- Dynamical Theory of Diffusion in CrystalsPhysical Review B, 1958
- Volumes of Activation for Diffusion in SolidsThe Journal of Chemical Physics, 1958
- On the high temperature heat conductivity of insulatorsJournal of Physics and Chemistry of Solids, 1957
- Temperature Variation of the Elastic Constants of AgBrPhysical Review B, 1956
- Effect of Pressure on Self-Diffusion in White PhosphorusThe Journal of Chemical Physics, 1955
- Self-Diffusion in Solid Sodium. II. The Effect of PressureThe Journal of Chemical Physics, 1952
- The Effects of Hydrostatic Pressure on the Ionic Conductivity of AgBrThe Journal of Chemical Physics, 1952