The electron, its isolation and measurement and the determination of some of its properties
John Stuart Mill · en
Now, the single low value of which these authors find in the
oil-drop work is obtained by computing from some twenty-five
observations on the times of fall, and an equal number on the times of
rise, of a particle which, before we had made any computations
at all, we reported upon[117] for the sake of showing that the Brownian
movements would produce just such fluctuations as Ehrenhaft had
observed when the conditions were those under which he worked. When I
compute by equation (29), using merely the twenty-five times of
fall, I find the value of comes out 26 per cent low, just as
Zerner finds it to do. If, however, I omit the first reading it comes
out but 11 per cent low. In other words, the omission of one single
reading changes the result by 15 per cent. Furthermore, Fletcher[118]
has shown that these same data, though treated entirely legitimately,
but with a slightly different grouping than that used by Zerner, can
be made to yield exactly the right value of . This brings out
clearly the futility of attempting to test a statistical theorem by
so few observations as twenty-five, which is nevertheless more than
Ehrenhaft usually uses on his drops. Furthermore, I shall presently
show that unless one observes under carefully chosen conditions, his
own errors of observation and the slow evaporation of the drop tend
[Pg 169]
to make obtained from equation (29) come out too low, and these
errors may easily be enough to vitiate the result entirely. There
is, then, not the slightest indication in any work which we have thus
jar done on oil drops that comes out too small.