Diffusion of 110mAg Tracer in Polycrystalline and Single-Crystal Lead-Containing Piezoelectric Ceramics

We have conducted diffusion measurements of radioactive ^110mAg tracer in single-crystal PbMgNbO₃–PbTiO₃ (PMN-PT) and in polycrystalline 50Pb(Ni_1/3Nb_2/3)O₃·35PbTiO₃·15PbZrO₃ (PNN-PT-PZ) piezoelectric ceramics. Both materials measured belong to the perovskite family. Diffusion in PMN-PT is characterized by an activation energy of 277 kJ/mol and pre-exponential factor of 0.0034 m²/s and compares well with cation diffusion in high-temperature superconducting YBa₂Cu₃O_7–δ. Diffusion in polycrystalline PNN-PT-PZ, on the other hand, is many orders of magnitude faster and is attributed to grain boundaries. PNN-PT-PZ has a lower activation energy, 168 kJ/mol, and a combined pre-exponential factor ( s δ( D _b)_o, where s is the segregation factor of silver, δ the thickness, and ( D _b)_o the pre-exponential factor for grain boundaries) of 3.7 × 10⁻⁹ m³/s. The unusually large combined pre-exponential factor infers large segregation of silver at the grain boundaries and small solid solubility within the grains. It is possible, using a semiempirical model, to compute metal– (silver–) ceramic interface energies as a function of temperature, from which values of 90 kJ/mol and 0.9 R are obtained for enthalpy and entropy, respectively, for grain-boundary segregation.