78 RA YS OF POSITIVE ELECTRICITY corresponding deflection of the primary shows (seep. 21) that the swiftest of the particles in the prolongation has twice the kinetic energy of the swiftest in the primary. Thus these particles when in the electric field in the discharge tube acquire twice the kinetic energy of the normal particle; they must therefore when in the discharge tube have had twice the normal charge. They must, after passing through the cathode and before getting into the deflecting fields, have had their charge reduced to the normal value. For, as we have seen, the value of ejm in these fields is normal, hence if they have retained the double charge they must have double the mass. If, however, they had retained the double charge the electrostatic deflection would have been normal: for though the kinetic energy is doubled, which halves the deflection for normal charge, the charge and therefore the electrostatic deflection for given kinetic energy is doubled too, and hence the result would be the normal deflection, while the actual deflection is only one-half of this. We conclude, therefore, that the prolongation is due to particles which had a double charge when in the discharge tube, but which have lost one of these charges after passing through the cathode. It is a strong confirmation of this view that when we find these prolongations we generally find on the same plate para- bolas with their heads in the normal place giving a value of ejm twice that given by the line with the prolongation ; these are due to particles which have retained their double charge after passing through the cathode. And conversely when the lines corresponding to the double value of e]m are present we find a tail or prolongation to the line corresponding to the normal value. This would not necessarily be true at pressures so low that the particles did not make any collisions after passing through the face of the cathode, but I have not been able to reduce the pressure to this point.