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A garnet type compound has a composition, which may be represented by the general formula : [in-line-formulae]A1(III)3-2xA2(II)xA3(III)xB(III)2C1(III)3-xC2(IV)xO12 [/in-line-formulae]wherein each of the Roman numerals in the parentheses represents the valence number of ion; each of A1, A2, and A3 represents the element at the A site; B represents the element at the B site; each of C1 and C2 represents the element at the C site; each of A1, A2, B, C1, and C2 represents at least one kind of element exhibiting the corresponding valence number of ion defined above; A3 represents at least one kind of element selected from the group consisting of trivalent rare earth elements of La, Ce, Pr, Nd, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb, and Lu; A1 and A3 represent different elements; x represents a number satisfying a condition 0
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