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PURPOSE : To suppress the formation of C type rare earth element compd., to increase the amount of oxygen flaw and to increase oxygen ion concn. by partially replacing a Y site being a tervalent rear earth element with a univalent or bivalent element and forming a solid solution. CONSTITUTION : A precipitate is obtained by adding a precipitating agent to an inorg. salt aq. soln. of a metallic element containing yttrium, an alkali metal, magnesium or barium and zirconium. This precipitate is filtered and dried, and then burned to produce a defective fluorite type solid electrolyte expressed by formula ((Y1-a Ma )x Zr1-x )02-y (M is a univalent alkali metal. Mg and Ba; (a), (x) and (y) are an actual number satisfying 0.30<(a)<0.67; 0.12<(x)<0.35; 0.78<(y)<0.41).