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PROBLEM TO BE SOLVED : To obtain a rare earth-aluminum-garnet fine powder excellent in sinterability and dispersibility and having a uniform particle size. SOLUTION : This rare earth-aluminum-garnet fine powder is particles having >=3.5 m2/g specific surface area, <=1.8 μm average particle diameter D50, <=10.0 μm difference between a 90% particle diameter (D90) and a 10% particle diameter (D10) of the particle size distribution and a rounded shape of primary particles and comprising a shape in which the particles are alone or two or more are connected. The size of crystallites is preferably <=600 Å. The rare earth-aluminum-garnet fine powder is characterized as the rare earth-aluminum-garnet represented by a compositional formula of R3Al5O12 in which R comprises a composition of A1-XBX; A is one or more kinds selected from Y, Dy, Ho, Er, Tm, Yb and Lu; B is one or more kinds selected from rare earth elements containing Y, with the proviso that A and B do not contain mutually the same elements; X denotes an atomic ratio and 0-0.2. Furthermore, the rare earth- aluminum-garnet fine powder is preferably the one containing at least one or more kinds of compounds of Mg, Si and Ca in the total amount of 10-10, 000 ppm.