Another method of counting this number is to let the particles fall on
a phosphorescent screen, and count the number of scintillations on the
screen in a certain time. Rutherford has shown that these two methods
give concordant results.
The charge of positive electricity given out by the radium was
measured by catching the [alpha] particles in a Faraday cylinder
placed in a very highly exhausted vessel, and measuring the charge per
minute received by this cylinder. In this way Rutherford showed that
the charge on the [alpha] particle was 9.4 × 10^-10 electrostatic
units. Now e/m for the [alpha] particle = 5 × 10³, and there is
evidence that the [alpha] particle is a charged atom of helium; since
the atomic weight of helium is 4 and e/m for hydrogen is 10^4, it
follows that the charge on the helium atom is twice that on the
hydrogen, so that the charge on the hydrogen atom is 4.7 × 10^-10
electrostatic units.
_Calculation of the Mass of the Ions at Low Pressures._--Although at
ordinary pressures the ion seems to have a very complex structure and to
be the aggregate of many molecules, yet we have evidence that at very
low pressures the structure of the ion, and especially of the negative
one, becomes very much simpler. This evidence is afforded by
determination of the mass of the atom. We can measure the ratio of the
mass of an ion to the charge on the ion by observing the deflections
produced by magnetic and electric forces on a moving ion. If an ion
carrying a charge e is moving with a velocity v, at a point where the
magnetic force is H, a mechanical force acts on the ion, whose direction
is at right angles both to the direction of motion of the ion and to the
magnetic force, and whose magnitude is evH sin [theta], where [theta] is
the angle between v and H. Suppose then that we have an ion moving
through a gas whose pressure is so low that the free path of the ion is
long compared with the distance through which it moves whilst we are
experimenting upon it; in this case the motion of the ion will be free,
and will not be affected by the presence of the gas.
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