In situ measurements in the engine exhaust of a Concorde supersonic aircraft in the lower stratosphere are used to constrain heterogeneous reaction rates on soot particles in a plume model. Upper limit values are obtained for the product of the reactive uptake coefficients of O3 and NO2 and the mean surface area of individual soot particles using the model and the well-established O3-N2O correlation in the lower stratosphere. The low reactivity value obtained for O3 implies that soot reactions cannot account for ozone trends in the lower stratosphere. ¿ 1998 American Geophysical Union