The electron, its isolation and measurement and the determination of some of its propertiesMillikan, Robert Andrews
Philosophy
The electron, its isolation and measurement and the determination of some of its properties
Millikan, Robert Andrews
Electrons
These consisted, first, in finding very exactly what is the coefficient
of viscosity of air under conditions in which it may be treated as a
homogeneous medium, and second, in finding the limits within which
Stokes’s Law may be considered valid.
II. THE COEFFICIENT OF VISCOSITY OF AIR
The experiments on the coefficient of viscosity of air were carried out
in the Ryerson Laboratory by Dr. Lachen Gilchrist,[46] and Dr. I. M.
Rapp.[47] Dr. Gilchrist used a method which was in many respects new
and which may fairly be said to be freer from theoretical uncertainties
than any method which has ever been used. He estimated that his results
should not be in error by more than .1 or .2 of 1 per cent. Dr. Rapp
used a form of the familiar capillary-tube method, but under conditions
which seemed to adapt it better to an absolute evaluation of
for air than capillary-tube arrangements have ordinarily been.
[Pg 94]
These two men, as the result of measurements which were in progress
for more than two years, obtained final means which were in very
close agreement with one another as well as with the most careful of
preceding determinations.
TABLE IX
for Air
.00018227
Rapp, Capillary-tube method, 1913
(Phys. Rev., II, 363).
.00018257
Gilchrist, Constant deflection method, 1913
(Phys. Rev., I, 124).
.00018229
Hogg, Damping of oscillating cylinders, 1905
(Proc. Am. Acad., XL, 611)
.00018258
Tomlinson, Damping of Swinging Pendulum, 1886
(Phil. Trans., CLXXVII, 767).
.00018232
Grindley and Gibson, Flow through pipe, 1908
(Proc. Roy. Soc., LXXX, 114).
Mean
.00018240
It will be seen from Table IX that every one of the five different
methods which have been used for the absolute determination of
for air leads to a value that differs by less than one part in one
thousand from the following mean value, .
It was concluded, therefore, that we could depend upon the value
of for the viscosity of air under the conditions of our
experiment to at least one part in one thousand. Very recently Dr. E.
Harrington[48] has improved still further the apparatus designed by Dr.
Gilchrist and the author and has made with it in the Ryerson Laboratory
a determination of which is, I think, altogether unique in
its reliability and precision. I give to it alone greater weight than
[Pg 95]
to all the other work of the past fifty years in this field taken
together. The final value is
and the error can scarcely be more than one part in two thousand.
III. LIMITS OF VALIDITY OF STOKES’S LAW
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