Relationships between chemical and tracer diffusion coefficients in strongly ionic crystals
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Irina V. Belova
Abstract
In this paper, we make extensive use of various sum-rules relating the phenomenological transport coefficients in randomly mixed systems in order to address cation chemical interdiffusion and tracer diffusion in strongly ionic crystals such as alkali and silver halides and alkaline earth fluorides, oxides and silicates showing Schottky disorder. We derive general expressions for the intrinsic and inter-diffusivities for the case of unbound vacancies. Next, we derive a general expression relating the chemical interdiffusivity and the cation and anion tracer diffusivities. This expression reduces to the well-known Darken-Manning and Nernst-Planck equations according to the relative magnitude of the anion mobility. This analysis is repeated for the vacancy-pair mechanism. It is shown that the resulting expressions have exactly the same formal structure as for the unbound vacancies case, but the internal structure of the transport quantities differs because of the different correlation behaviour of the vacancy-pair mechanism compared with that of unbound vacancies.
Acknowledgement
We wish to thank Prof. A. B. Lidiard (University of Reading) and Prof. A. R. Allnatt (University of Western Ontario) for useful discussions. We also to wish to thank the Australian Research Council (Large Grants and Discovery Project Grants Schemes) for its support of this research. One of us wishes to thank the Australian Research Council for the award of Queen Elizabeth II and Australian Professorial Fellowships (I.V. B).
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© 2004 Carl Hanser Verlag, München
Artikel in diesem Heft
- Contents
- Editorial
- Helmut Mehrer 65 Years
- Articles Basic
- Diffusion in intermetallic compounds: the ordered Cu3Au rule, its history
- Live long and prosper: Long positronium lifetimes in borate glasses
- Atomic defects and diffusion in intermetallic compounds with D03 structure: an ab-initio study
- Relationships between chemical and tracer diffusion coefficients in strongly ionic crystals
- Formation volume of atomic vacancies in body-centred cubic metals
- “Order-order” relaxations in intermetallics
- A new diffusion mechanism for self-compensating impurities in α-alumina
- Self-diffusion behaviour and microstructure of ultrafine-grained Nd2Fe14B with intergranular melting transition
- Tracer diffusion in Pt3Fe ordered alloys
- Intermetallic growth and Kirkendall effect manifestations in Cu/Sn and Au/Sn diffusion couples
- Ionic conductivity of a fragile glass-forming molten salt: Modelling its dependence on frequency, temperature, and pressure
- Some novel applications of sputtering techniques for diffusion studies in solids
- Grain boundary faceting close to the Σ3 coincidence misorientation in copper
- Grain boundary self-diffusion in α-iron of different purity: effect of dislocation enhanced diffusion
- Connection between Fe grain boundary segregation in Al and phase formation in the bulk
- Diffusion in metallic glasses and undercooled metallic melts
- Sculptures depicting the physical processes which govern the plastic deformation of metals and alloys
- Notifications/Mitteilungen
- Personal/Personelles
- Conferences/Konferenzen
Artikel in diesem Heft
- Contents
- Editorial
- Helmut Mehrer 65 Years
- Articles Basic
- Diffusion in intermetallic compounds: the ordered Cu3Au rule, its history
- Live long and prosper: Long positronium lifetimes in borate glasses
- Atomic defects and diffusion in intermetallic compounds with D03 structure: an ab-initio study
- Relationships between chemical and tracer diffusion coefficients in strongly ionic crystals
- Formation volume of atomic vacancies in body-centred cubic metals
- “Order-order” relaxations in intermetallics
- A new diffusion mechanism for self-compensating impurities in α-alumina
- Self-diffusion behaviour and microstructure of ultrafine-grained Nd2Fe14B with intergranular melting transition
- Tracer diffusion in Pt3Fe ordered alloys
- Intermetallic growth and Kirkendall effect manifestations in Cu/Sn and Au/Sn diffusion couples
- Ionic conductivity of a fragile glass-forming molten salt: Modelling its dependence on frequency, temperature, and pressure
- Some novel applications of sputtering techniques for diffusion studies in solids
- Grain boundary faceting close to the Σ3 coincidence misorientation in copper
- Grain boundary self-diffusion in α-iron of different purity: effect of dislocation enhanced diffusion
- Connection between Fe grain boundary segregation in Al and phase formation in the bulk
- Diffusion in metallic glasses and undercooled metallic melts
- Sculptures depicting the physical processes which govern the plastic deformation of metals and alloys
- Notifications/Mitteilungen
- Personal/Personelles
- Conferences/Konferenzen
