A description is given of photo-electric condensation nucleus counters of high precision for measuring low and very low concentrations of nuclei such as are experienced in aeroplane ascents and occur in maritime, arctic and antarctic aerosols, and also in laboratory investigations as e.g. with the resolution of polydisperse aerosols into their components using the dynamic method. One, for low concentrations, employs the increase of the length of the light path through the fog using two identical photo-electric nucleus counters of high precision, Model 1957 in parallel, combining them optically into a twin-counter. In this model the direct light-beam of the previous constructions is replaced by one bent at right angles with the aid of a prism, thus permitting easy access to the photocell. Furthermore, it is equipped whith quick action toggle clips and fitted with a fog-tube of large internal diameter the air-column of which can be reduced to any desired smaller diameter by easily exchangeable ceramic linings of appropriate central bore. The second arrangement, for very low concentrations, uses only one photo-electric counter with the standard length (58.7 cm) of the light path but employs for measuring the extinction an electrical compensation method with two galvanometers of different sensitivity which opens the scale of the first galvanometer by a factor determined by the ratio of the sensitivities of the two galvanometers. Measurements of concentrations of less than 220 nuclei per cm3 during their decay in a large balloon gasometer with the new set-up are given which demonstrate the accuracy and advantages of the photo-electric nucleus counter for measuring very low concentrations.