In at least one embodiment, the semiconductor component includes an optoelectronic semiconductors chip. Furthermore, the semiconductor component includes a conversion-medium lamina, which is fitted to a main radiation side of the semiconductor chip and is designed for converting a primary radiation into a secondary radiation. The conversion-medium lamina includes a matrix material and conversion-medium particles embedded therein. Furthermore, the conversion-medium lamina includes a conversion layer. The conversion-medium particles are situated in the at least one conversion layer. The conversion-medium particles, alone or together with diffusion-medium particles optionally present, make up a proportion by volume of at least 50% of the conversion layer. Furthermore, the conversion-medium lamina includes a binder layer containing the conversion-medium particles with a proportion by volume of at most 2.5%.