The electron, its isolation and measurement and the determination of some of its properties
John Stuart Mill · en
I have already remarked that when a drop carries but a small number
of electrons it appears to catch ions of its own sign as rapidly as
those of opposite signs—a result which seems strange at first, since
the ions of opposite sign must be attracted, while those of like sign
must be repelled. Whence, then, does the ion obtain the energy which
enables it to push itself up against this electrostatic repulsion and
attach itself to a drop already strongly charged with its own kind of
electricity? It cannot obtain it from the field, since the phenomenon
of capture occurs when the field is not on. It cannot obtain it from
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any explosive process which frees the ion from the molecule at the
instant of ionization, since in this case, too, ions would be caught as
well, or nearly as well, when the field is on as when it is off. Here,
then, is an absolutely direct proof that the ion must be endowed with
a kinetic energy of agitation which is sufficient to push it up to the
surface of the drop against the electrostatic repulsion of the charge
on the drop.
This energy may easily be computed as follows: Let us take a drop, such
as was used in one of these experiments, of radius .000197 cm. The
potential at the surface of a charged sphere can be shown to be the
charge divided by the radius. The value of the elementary electrical
charge obtained from the best observations of this type, is
. Hence the energy
required to drive an ion carrying the elementary charge up to the
surface of a charged sphere of radius , carrying 16 elementary
charges, is