## On the Statistics of Luminescent Counter SystemsThe type of crystal counter which depends upon the combination of luminescent crystals and a photomultiplier tube shows promise of being of great service in the detection of radiations both because of its high sensitivity and speed of registry and recovery. This device has been developed by a large number of individuals, almost too numerous to mention; however, the origin of the system appears to rest with Coltman and Marshall,1 who employed powdered luminescent materials of the type used in previous commercial luminescent systems, and with Broser and Kallmann, who first appreciated the advantages of employing large, transparent, luminescent crystals and introduced organic materials. |

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11 events assumed average number Broser capacitor cathode charge pulse associated coefficient collision compared with unity Compton effect Compton electron Compton encounters condensor constant distribution of pulses emission emitted at random employed enter the crystal fractional variance function for pulse function gives functions G gamma ray transfers gamma rays emitted give rise given gamma ray gives the distribution interest isotropic Kallmann L. I. Schiff large compared luminescent crystal luminescent material luminescent quanta produced mean and variance mean free path measurable pulse multiplier naphthalene nmqp nms2p number of Compton number of events number of gamma number of light number of luminescent Phenanthrene photocathode photoelectric effect photoelectron photon Poisson distribution probability problem pulse distribution quantity radiation range rays are emitted readily found second type single gamma ray small compared solid angle source of statistical statistical variation surface thick and thin thin approximation type e.g. type of event values