Abstract: The invention is directed to a dosimeter for detecting gaseous or aerosol substances. The dosimeter contains a collecting reagent in a tubular shell made of a membrane permeable for the substance to be detected. The dosimeter is improved so that also substances which cannot be absorbed by the collecting reagent can be made detectable. The dosimeter includes an outer shell wherein at least one additional inner shell is provided extending coaxially to the outer shell. The two shells conjointly define an intermediate space wherein a conversion reagent is accommodated for converting the substance to be detected into a conversion product. The inner shell defines an inner space wherein the collecting reagent is disposed for collecting the conversion product.