It is the knowledge of the present invention that a converter layer for converting light of a first emission spectrum into light of a second emission spectrum can be obtained with a longer lifetime by mixing an organic dye, which absorbs light of at least one wavelength in the first emission spectrum and, in response thereto, emits light with the second emission spectrum, with an inorganic material in the form of a mixture to the converter layer. The advantages of the organic synthetic chemistry with regard to the almost unlimited variability of the absorption and emission wavelength are thus maintained. The disadvantage of the organic dyes with regard to their insufficient stability is overcome by mixing the organic dye into the inorganic material. Additionally, the resulting converter layer can at the same time take over the role of transparent anode or cathode with an appropriate selection of the inorganic material, in that case the structure of the light emitting device would be simplified. Above that, with an appropriate selection of the inorganic material, the inventive mixture makes it possible to structure the converter layer with simple and cost effective structuring methods, such as via lithographic methods in the case of silica or titanium dioxide.