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

The invention relates to glass, ceramic and metal substrates with at least one self-cleaning surface, comprising a layer with a micro-rough surface structure that is arranged on the substrate and made at least partly hydrophobic. The layer contains a glass flux and structure-forming particles with a mean particle diameter within the 0.1 to 50 mum range; the glass flux and structure-forming particles are present in a volume ratio within the 0.1 to 5 range, and the micro-rough surface structure has a ratio of mean profile height to mean distance between adjacent profile tips within the 0.3 to 10 range. To produce the subject of the invention the substrate is coated with a composition containing a glass flux and structure-forming particles, and the layer is burnt in and made hydrophobic.