TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Process: The method exhibits no incineration, steam treatment or radiation step. In the chemical process step(s), an oxidation, acid-base reaction, radical reaction, hydrolysis of metal compounds and/or their transformation to metal oxides, hydroxides or their combinations takes place. In an initial recognition step, the kind of the residual substances is recognized and that the characteristics of the recognized residual substances, preferably their oxidation/reduction behavior and/or acid-base-behavior is adjusted by pH control in the chemical process step(s), during the reaction accomplishment and/or the gradual addition of the additives. In the chemical process step(s), the reaction takes place under the condition that mineralization of the chemically decomposed problematic materials and their incorporation into an inorganic matrix through precipitation processes is accomplished. An inert substance as the only product of the procedure can be used again as raw material without any risk. The raw material is added to cement, bentonite, lime, mortar binder, different adhesives, resin bonding agents and/or other cement-like bonding agents for the manufacturing of building materials. In the chemical process step(s), heavy metals and other metal forms are leached out and dissolved and converted into hardly soluble metal oxides or hydroxides. The treatment of slightly radiation-contaminated waste is although accomplished independent of the source and/or with same base additives and process equipments, it is carried out separately from non-recognized radiation-contaminated waste, inorder to avoid the risk of a cross-contamination of the residues that are not radiation-contaminated. The completely reacted material is taken up into a polymer matrix, preferably a polymer foam, and is compressed under pressure. The matrix is formed without the addition of isocyanate compounds and/or is produced from an economical mixture from water, sugar and alcohol (propanol or isopropanol) as well as polyols, preferably from the polyurethane production, and is expandingly formed through foaming-up. In the method, a chemically induced mineralization and precipitation reaction are carried out under formation of amorphous or simple-crystalline solids. The air in the process environment is continuously regenerated by means of ozonization and/or ionization. The used exhaust air cleaner liquid is recycled as process water replacement in the chemical process step(s). Preferred Components: The raw material is a chemically inert, biologically sterile and harmless-appearing product. The additive is a material mixture with iodine, copper sulfate, magnesium sulfate/magnesium oxide, ferrous oxide and/or cupric oxide. EXAMPLE - No suitable example given.