PROBLEM TO BE SOLVED: To provide a production method of a ScAlMgOsingle crystal capable of preventing generation of a white turbidness part at a rearing initial stage.SOLUTION: There is provided a production method of a ScAlMgOsingle crystal for bringing a seed crystal into contact with a melt in a vessel in a furnace, and then pulling it up. In the production method of the ScAlMgO4 single crystal, a composition of the melt at start of pulling up is adjusted so as to have a composition deviated from a stoichiometric ratio of ScAlMgO, and after start of pulling up, a solution satisfying substantially the stoichiometric ratio of ScAlMgOis replenished into the vessel.SELECTED DRAWING: Figure 1
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