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A particulate inorganic mixed oxide containing aluminum, zirconium, cerium, and the first and second additional elements which are selected from the group consisting of rare earth elements except cerium and the group consisting of alkaline earth elements respectively, wherein the content of aluminum in the mixed oxide is 60 to 90at%% in terms of element based on the total amount of elements which are converted into cations in the mixed oxide; the content of cerium in the mixed oxide is 0.4 to 50at%% in terms of element based on the total amount of zirconium and cerium contained in the mixed oxide; the total content of the first and second additional elements is 1 to 12at%% in terms of element based on the total amount of elements which are converted into cations in the mixed oxide; at least 80%% of the primary particles of the mixed oxide have particle diameters of 100nm or below; at least part of the primary particles have, on the surfaces, enriched areas wherein the content of the second additional element is locally enhanced; and the amount of the second additional element contained in the enriched areas is 0.1 to 0.95mass%% in terms of oxide based on the total amount of the mixed oxide.COPYRIGHT KIPO & WIPO 2010