Since, as we have seen, the recombination is due to the coming
together of the positive and negative ions under the influence of the
electrical attraction between them, it follows that a large electric
force sufficient to overcome this attraction would keep the ions apart
and hence diminish the coefficient of recombination. Simple
considerations, however, will show that it would require exceedingly
strong electric fields to produce an appreciable effect. The value of
[alpha] indicates that for two oppositely charged ions to unite they
must come within a distance of about 1.5 × 10^-6 centimetres; at this
distance the attraction between them is e² × 10^12/2.25, and if X is
the external electric force, the force tending to pull them apart
cannot be greater than Xe; if this is to be comparable with the
attraction, X must be comparable with e × 10^12/2.25, or putting e = 4
× 10^-10, with 1.8 × 10²; this is 54,000 volts per centimetre, a
force which could not be applied to gas at atmospheric pressure
without producing a spark.
_Diffusion of the Ions._--The ionized gas acts like a mixture of
gases, the ions corresponding to two different gases, the non-ionized
gas to a third. If the concentration of the ions is not uniform, they
will diffuse through the non-ionized gas in such a way as to produce a
more uniform distribution. A very valuable series of determinations of
the coefficient of diffusion of ions through various gases has been
made by Townsend (_Phil. Trans._, 1900, A, 193, p. 129). The method
used was to suck the ionized gas through narrow tubes; by measuring
the loss of both the positive and negative ions after the gases had
passed through a known length of tube, and allowing for the loss by
recombination, the loss by diffusion and hence the coefficient of
diffusion could be determined. The following tables give the values of
the coefficients of diffusion D on the C.G.S. system of units as
determined by Townsend:--
Table I.--_Coefficients of Diffusion (D) in Dry Gases._
+-----+------------+------------+----------+------------------+
|Gas. |D for +ions.|D for -ions.|Mean Value| Ratio of D for |
| | | | of D. | - to D for +ions.|
+-----+------------+------------+----------+------------------+
| Air | .028 | .043 | .0347 | 1.54 |
| O2 | .025 | .0396 | .0323 | 1.58 |
| CO2 | .023 | .026 | .0245 | 1.13 |
| H2 | .123 | .190 | .156 | 1.54 |
+-----+------------+------------+----------+------------------+
Table II.--Coefficients of Diffusion in Moist Gases.
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