The condensation vessel was similar to that employed by C. T. R. Wilson.
Two parallel horizontal plates were fitted in the vessel and the
radiation from an X ray tube or radio-active substance ionized the gas
between them. A difference of potential _V_, small compared with that
required to saturate the gas, was applied between the parallel plates
distant _l_ cms. from each other. The small current _i_ through the gas
is given (section 28) by
_NuVe_
_i_ = ------
_l_
where
_N_ = number of ions present in the gas,
_e_ = charge on each ion,
_u_ = sum of the velocities of the positive and negative ions.
Since the value of _N_ is the same as the number of drops, and the
velocity _u_ is known, the value of _e_ can be determined.
In his last determination J. J. Thomson found that
_e_ = 3·4 × 10⁻¹⁰ electrostatic units.
A very concordant value, namely, 3·1 × 10⁻¹⁰, has been obtained by H. A.
Wilson[70], by using a modified method of counting the drops. A check on
the size of the drops, determined by their rate of fall, was made by
observing the rate at which the drops moved in a strong electric field,
arranged so as to act with or against gravity.
J. J. Thomson found that the charge on the ions produced in hydrogen and
oxygen is the same. This shows that the nature of the ionization in
gases is distinct from that occurring in the electrolysis of solutions
where the oxygen ion always carries twice the charge of the hydrogen
ion.
=37. Diffusion of the ions.= Early experiments with ionized gases showed
that the conductivity was removed from the gas by passage through a
finely divided substance like cotton-wool, or by bubbling through water.
This loss of conductivity is due to the fact that the ions in passing
through narrow spaces diffuse to the sides of the boundary, to which
they either adhere or give up their charge.
A direct determination of the coefficient of diffusion of the ions
produced in gases by Röntgen rays or by the rays from active substances
has been made by Townsend[71]. The general method employed was to pass a
stream of ionized gas through a diffusion vessel made up of a number of
fine metal tubes arranged in parallel. Some of the ions in their passage
through the tubes diffuse to the sides, the proportion being greater the
slower the motion of the gas and the narrower the tube. Observations
were made of the conductivity of the gas before and after passage
through the tubes. In this way, correcting if necessary for the
recombination during the time taken to pass through the tubes, the
proportion _R_ of either positive or negative ions which are abstracted
can be deduced. The value of _R_ can be expressed mathematically by the
following equation in terms of _K_, the coefficient of diffusion of the
ions into the gas with which they are mixed[72],
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