A theoretical model is proposed to estimate the length of three-phase boundary ͑TPB͒ of ion-impregnation-derived solid oxide fuel cell ͑SOFC͒ electrodes, which have experimentally shown considerable advantages in performance when compared with standard composite electrodes such as Ni-yttria-stabilized zirconia ͑YSZ͒ and ͑La,Sr͒MnO 3 -YSZ. The electrode is modeled as a spherepacked framework whose surface is coated with second-phase nanoscale particles. Compared with the composite electrodes, the impregnated electrodes show great enhancement in TPB length, theoretically indicating the feasibility of achieving highly electrochemically active electrodes by means of ion impregnation. Solid oxide fuel cells ͑SOFCs͒ are promising to be the nextgeneration energy-conversion devices due to their high efficiency and ultralow pollution emission.1 Many efforts have been made recently to lower their operating temperatures from conventional ϳ1000°C to 600-800°C, in order to significantly reduce the manufacturing cost and improve the stability of the SOFC system. At a reduced operating temperature, the electrode performance becomes the most important determinant of the overall cell output, especially when a thin-film electrolyte ͑i.e., 5-20 m͒ is applied. The electrode performance is believed to be determined by the sum of various polarizations typically associated with the length of the socalled three-phase boundary ͑TPB͒ where the electronic conductor, ionic conductor, and gases are in contact with each other so that the electrochemical reaction can take place. Therefore, a large TPB length is generally essential for high electrode performance. Several experimental studies demonstrated the inverse proportionality of activation overpotential with respect to the TPB length in standard composite electrodes such as Ni-yttria-stabilized zirconia ͑YSZ͒ anodes 2,3 and ͑La,Sr͒MnO 3 ͑LSM͒-YSZ cathodes. 4,5 A composite electrode is usually composed of an electronic conducting phase, an oxygen-ion conducting phase, and pores for gas transportation. Typical examples of the electronic phases are Ni and LSM, which also serve as the electrocatalyst in the anode and cathode, respectively. The ionic phase is generally an electrolyte material such as YSZ and doped ceria ͑DCO͒. The TPB length of such a composite electrode is dominantly affected by its microstructure characteristics including particle size, porosity, and distribution state of the electronic and ionic conducting phases.Various electrode models have been established to predict and improve the performance of the composite electrode with regards to its microstructure parameters.6-8 Tanner et al. 7 developed a model to show the effect of microstructure on the performance of an electrode consisting of a contiguous electrolyte region, a contiguous electrocatalyst, and contiguous porosity. The microstructure is treated as regularly spaced corrugations as shown in Fig. 1a. Their results suggest that the finer the microstructure of the electrode, the higher the electrode performance. A s...