The invention relates to an additional embodiment for the arrangement of a lower annular suction and gas relaxation chamber (12) on a coke-heated circulating gas cupola furnace for material and/or energetic recycling of waste materials having different composition as described in main patent P 196 40 497, in which suctioning of gaseous organic matter which has been completely broken down into its basic components CO, H2, H2O and CO2 and into its trace components or has been already reformed is not yet reliably prevented. According to the invention, the lower annular suctioning and gas relaxation chamber (12) is arranged below the melting and overheating zone which extends up to the plane formed by the position of the jet gas compressor (24). Said arrangement makes it possible to draw off the excess gas directly from the furnace shaft from the melting and overheating zone at high temperatures of around 2,000 °C. The excess gas is also guided through the burning coke layer of the melting and overheating zone of the coke-heated circulating gas cupola furnace. CO2 is converted to CO by lowering the temperature of the gas as a result of energy-consuming Boudard equilibrium reaction. Fluidic separation of the excess gas from process gas is simultaneously carried out.