The invention relates to an abrasive grain based on electromelted alumina consisting of crystals with a hexagonal structure, of size less than 100 mum, and preferably less than 30 mum, and more preferably less than 5 mum, with density higher than 97%, preferably 98%, of the theoretical density of alumina, and a Knoop hardness higher than 2000. The invention also relates to a method for making abrasive grains based on alumina consisting in melting alumina, casting it at a constant flow rate less than 80 kg / mn, and cooling it by dispersing the melted alumina in fine droplets to obtain articles with size less than 1 mm. The dispersion is preferably performed by ultrasound-assisted spraying, at a frequency ranging between 15 and 50 MHz. The inventive grains are used in particular for making grindstones.