Glass ceramic and metal substrates with a self-cleaning surface, method for the production and use thereof

Glass substrate, ceramic or metal, with at least one self-cleaning surface comprising a layer of micro-roughened surface structure applied onto the substrate at least partially hydrophobized, wherein the layer contains a glass flux and particles forming the structure an average particle diameter within the range of 0, 5 to 15 microM, wherein the particles forming the structure are idiomorfas, ie having edges and marked surfaces because the glass flux and the particles forming the structure is present in a volume ratio within the range of 0, 1 to 5, and because the micro-roughened surface structure has a relationship between the average height profile and the mean distance between centers of adjacent profile, within the range of 0, 3 10.