A conversion layer (5) is vapor-deposited onto the light-emitting surface. The conversion layer (5) may comprise a vapor-depositable matrix material and a vapor-depositable converter material, which may in particular both comprise low molecular weight organic compounds. A multilayer structure (3), which contains the layers provided for generating radiation, may likewise be built up from low molecular weight organic compounds, such that all the compounds may be applied in the same vapor deposition installation.