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Space-charge saturation in channel electron multipliers

A relation between the saturation current and the applied voltage is deduced for space-charge-operated channel electron multipliers on the basis of a maxwellian distribution of the initial velocities of the secondaries. It contains the mean value of the first and second power of the time of flight of the secondaries. The condition of self-consistency for space-charge saturation is established, and this allows the determination of the mean values. A formula is deduced that shows explicitly the dependence of the current on the voltage and on some characteristic material constants.