The method of manufacture

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PROBLEM TO BE SOLVED : To provide a method for producing a cerium abrasive of which the contents of alkali metals, alkaline earth metals, and a radioactive substances are lowered and which has a fluorine content freely controllable from the viewpoint of lanthanum influence and grinding power. SOLUTION : This cerium abrasive is prepared by chemically separating and removing an alkali metal, an alkaline earth metal, and a radioactive substance to reduce the contents of these substances to produce a light rare earth material which does not contain fluorine and mainly comprises cerium, adding a fluorinated rare earth mainly comprising cerium to the light rare earth material, and baking the light rare earth material at a temperature of 600 deg.C-1, 000 deg.C. The amount of the fluorinated rare earth added is adjusted so that the fluorine content of the resultant cerium abrasive is enough to convert lanthanum in the light rare earth material into lanthanum fluoride but is insufficient to sinter the fluorinated rare earth during the baking.