Abstract: In order to increase the space utilization and the efficiency of refrigeration in absorption refrigerators a finned body is placed about the evaporator. This finned body consists of a base plate and of cooling fins connected therewith. The base plate lies parallel to a wall of the refrigerator and has a convexly curved section directed toward the space to be refrigerated, into which fits the horizontal or slightly inclined evaporator tube of the refrigeration unit. Above and or below the curved section, cooling fins are connected with the base plate in heat-conductive relation to extend into the space to be refrigerated. The configuration of the ribbed body favors convective heat transfer. Also, the evaporator tube does not require additional space or depth, because it lies within the finned body cross section.