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We report on the measurement of the magnetic susceptibility and of ESRtransitions in the garnet substance Tb$_3$Ga$_5$O$_{12}$ (TGG). The results arecompared with a calculation in the framework of crystal field theory for theorthorhombic surroundings of the six inequivalent Tb ions of TGG. We alsopresent a calculation of the magnetization for the three main crystaldirections.

Magnetization, Magnetic Susceptibility and ESR in Tb3Ga5O12