Abstract: Described are a method for processing a surface of an object, in particular of a lithographic mask, an apparatus for carrying out such a method and a computer program containing instructions for carrying out such a method. A method for processing a surface of an object, in particular of a lithographic mask, includes the following steps: (a.) supplying a gas mixture containing at least a first gas and a second gas to a reaction site at the surface of the object; (b.) inducing a reaction, which includes at least a first partial reaction and a second partial reaction, at the reaction site by exposing the reaction site to a beam of energetic particles in a plurality of exposure intervals, wherein the first partial reaction is promoted primarily by the first gas and the second partial reaction is promoted primarily by the second gas, and wherein a gas refresh interval lies between the respective exposure intervals; (c.