Strontium titanate SrTiO 3 (100), (110), and (111) single crystals, undoped or donor doped with up to 1 at% La, were isothermally equilibrated at temperatures between 1523 and 1773 K in synthetic air followed by two different methods of Sr tracer deposition: ion implantation of 87 Sr and chemical solution deposition of a thin 86 SrTiO 3 layer. Subsequently, the samples were diffusion annealed under the same conditions as before. The initial and final depth profiles were measured by SIMS. For strong La-doping both tracer deposition methods yield similar Sr diffusion coefficients, whereas for weak doping the tracer seems to be immobile in the case of ion implantation. The Sr diffusivity does not depend on the crystal orientation, but shows strong dependency on the dopant concentration supporting the defect chemical model that under oxidizing conditions the donor is compensated by Sr vacancies. A comparison with literature data on Sr vacancy, Ti, and La diffusion in this system confirms the concept that all cations move via Sr vacancies. Cation diffusion is several orders of magnitude slower than oxygen diffusion.
Self-diffusion of calcium, yttrium, and zirconium in single-crystalline YSZ and CSZ ͑YSZ: yttria-stabilized zirconia; containing 10 to 32 mol % Y 2 O 3 ; CSZ: calcia-stabilized zirconia; containing 11 and 17 mol % CaO͒ was measured at temperatures between 960 and 1700°C. For zirconium and calcium diffusion, the stable isotopes 44 Ca and 96 Zr were used as tracers and the samples were analyzed with secondary ion mass spectrometry. In the case of yttrium diffusion, the radioactive tracer 88 Y was used and an abrasive sectioning technique was applied. Zirconium bulk diffusion is slower than yttrium and calcium bulk diffusion, and there is a nearly linear correlation of diffusion coefficient with cation radius. In YSZ, zirconium and yttrium bulk diffusivity are maximum for a stabilizer content of 10-11 mol %, while in CSZ both calcium and zirconium tracer diffusion are independent of the calcium content. The activation enthalpy of yttrium stabilizer bulk diffusion ͑4.2 eV͒ is, as in CSZ, slightly smaller than for zirconium bulk diffusion ͑4.5 eV͒. The yttrium dislocation pipe diffusivity is five to six orders of magnitude faster than the bulk diffusivity, and its activation enthalpy ͑3.5 eV͒ is also smaller than that of the bulk diffusion. From the activation enthalpy and from the concentration dependence of the cation bulk diffusion, it is concluded that the cation diffusion occurs either via free vacancies (V Zr 4 Ј in YSZ͒ or via bound vacancies (͓V Zr 4 ЈϪ2V O 2• ͔ x in CSZ͒.
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