The present invention relates to the production of III-N templates and also the production of III-N single crystals, III signifying at least one element of the third main group of the periodic table, selected from the group of Al, Ga and In. By adjusting specific parameters during crystal growth, III-N templates can be obtained that bestow properties on the crystal layer that has grown on the foreign substrate which enable flawless III-N single crystals to be obtained in the form of templates or even with large III-N layer thickness.