Abstract: The present invention provides an apparatus for desubliming a target compound from a first gas mixture comprising the target compound, comprising: a desublimation means comprising a surface onto which desublimation of the target compound can occur, an inlet through which the first gas mixture can enter the apparatus such that it comes into contact with the surface of the desublimation means, a target compound recovery region, an outlet through which the target compound can leave the target compound recovery region and a cooling means that cools the desublimation means wherein the desublimation means comprises a continuous path that passes through the cooling means and the target compound recovery region and wherein the desublimation means is movable such that the surface continuously circulates between the cooling means and the target compound recovery region, along the path.