Abstract: 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 ? formed between the normal vectors of the plurality of partial region surfaces satisfy the following inequality: 0.1°???2.0°.

Abstract: 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 ? formed between the normal vectors of the plurality of partial region surfaces satisfy the following inequality: 0.1°???2.0° (1).