Rare earth silicate single crystal and process for production of rare earth silicate single crystals

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When produced as a single crystal ingot, a rare earth silicate single crystal 1 can be formed by cutting out from the single crystal ingot. The single crystal 1 has a crystal face F100 whose Miller indices can be determined by X-ray diffraction. The crystal face F100 is composed of a plurality of smooth partial region surfaces (for example, the partial region surface f100A and partial region surface f100B), the plurality of partial region surfaces each have an area detectable by X-ray diffraction, and the angles θ formed between the normal vectors of the plurality of partial region surfaces satisfy the following inequality : [in-line-formulae]0.1°≦θ≦2.0°.  (1)[/in-line-formulae]