A process and apparatus for the separation of vaporous heavy metal compounds from a carrier gas wherein the heavy metal compounds are cooled and desublimed. An apparatus for carrying out this process has a melting furnace with a discharge opening for a gas/ vapor mixture, which leads to a cooling device.Vaporous heavy metal compounds can be separated from a carrier gas on a large industrial scale. In addition, the apparatus for carrying out this process is easy to operate. The gas/vapor mixture is turbulently mixed immediately after the discharge from the furnace in a mixing section with cold air and is thus cooled. During this cooling, the vaporous heavy metal compounds desublime and are filtered as particles in a filter.