A neutron-detection method with several marked advantages over the current methods is described. The method is based on the measurement of the conversion electrons formed during neutron capture in Gd. The conversion electrons are determined by means of surface barrier detectors. This method enables a detection probability of up to 70%. The main advantage of this detector system is its small size, rendering a low weight detector shielding system and the exact measurement of the place of the possible neutron absorption. This may be of interest for time-of-flight measurements.