Desublimator for isolating sublimation products from reaction gases, which consists of a closed housing and a plurality of rows of finned tubes accommodated horizontally and superposedly therein, successive superposed finned tubes being supported, and mutually spaced, with limited adjustability, by means of cage-like perforated sliding shoes surrounding them in a box-like manner, the sliding shoes of the individual finned tubes being directly stacked one above the other and resting loosely on common supporting girders anchored to the housing, and the supporting girders having, in cross-section, the outline of a triangle with its apex pointing downward.