Mixed Rare Earth Oxide, Mixed Rare Earth Fluoride, Cerium-Based Abrasive Using the Materials and P

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The present invention provides a mixed rare earth oxide for the production of a cerium-based abrasive, in which the ignition loss after heating at a temperature of 1, 000° C. for 1 hour is 0.5 mass % or less on the dry mass basis and the crystallite diameter is from 200 to 400 Å; a mixed rare earth fluoride for the production of a cerium-based abrasive, in which the ignition loss is from 3 to 15% on the dry mass basis; a process for producing a cerium-based abrasive from these mixed rare earth oxide or mixed rare earth fluoride; and a cerium-based abrasive produced by using these mixed rare earth oxide or mixed rare earth fluoride.