Abstract: The invention relates to a process for the manufacture of coatings by radiocrosslinking. A radio-crosslinkable composition (C) is produced first of all by mixing at least one (meth)acrylic compound (A) with a reactive diluent system comprising at least one mono(meth)acrylic carbonate (B) corresponding to the general formula (I): ##STR1## in which: R.sub.1 denotes H or CH.sub.3R.sub.2 denotes an alkylene ether or alkylene chain which has a total number of carbon atoms of between 2 and 6,n denotes an integer between 1 and 6.The composition (C) is next applied onto a substrate and is then radiocrosslinked, preferably using UV radiation.Another subject of the invention is the crosslinkable compositions (C) in which the compound (A) and the carbonate (B) are not simultaneously 2,3-carbonyldioxypropyl 2-methacryloyloxyethyl carbonate, and carbonates of general formula (I) in which R.sub.2 denotes (CH.sub.2).sub.m and in which m and n are integers such that 2.ltoreq.m.ltoreq.6, 1.ltoreq.n.ltoreq.6 and n.noteq.