The surface fractal dimension, D, and pore size distribution of perovskite-doped alumina membrane prepared via the sol-gel method were determined from their nitrogen adsorption isotherms. The D value was calculated using the Frenkel-Halsey-Hill method. The D value increased with increasing temperature due to membrane shrinkage. The pore size distribution pattern of perovskite-doped alumina membrane showed a narrow pore size when the temperature was increased from 4001 to 8001C. The isotherm type was characterized as Type IV. Smoothing and sintering effects contributed to the decreasing trend of surface fractal dimension at a high temperature. The surface fractal dimension increased when the perovskite ratio in alumina membrane was increased.
NomenclatureD surface fractal dimension N/N m number of layer adsorbs on the surface P equilibrium pressure P o saturation pressure P/P o relative pressure W weight of nitrogen adsorbed at relative pressure W m weight of nitrogen constituting a monolayer of surface coverage S surface area R gas constant T adsorption temperature k constant c BET constant r mean radius g surface tension