Worlds in the making: The evolution of the universeArrhenius, Svante
Science
Worlds in the making: The evolution of the universe
Arrhenius, Svante
Cosmogony
The astronomers followed faithfully in the footsteps of their
inimitable master, Newton, and they brushed aside every phenomenon
which would not fit into his system. An exception was made by the
famous Euler, who, in 1746, expressed the opinion that the waves of
light exerted a pressure upon the body upon which they fell. This
opinion, however, could not prevail against the criticisms with which
others, and especially De Mairan, assailed it. That Euler was right,
however, was proved by Maxwell’s great theoretical treatise on the
nature of electricity (1873). He showed that rays of heat—and the
same applies, as Bartoli established in 1876, to radiations of any
kind—must exercise a pressure just as great as the amount of energy
contained in a unit volume, by virtue of their radiation. Maxwell
calculated the magnitude of this pressure, and he found it so small
that it could hardly have been demonstrated with the experimental means
then at our disposal. But this demonstration has since been furnished,
with the aid of measurements obtained in a vacuum, by the Russian
Lebedeff and by the Americans Nichols and Hull (1900, 1901). They have
found that this pressure, the so-called radiation pressure, is exactly
as great as Maxwell predicted.
In spite of Maxwell’s great authority, astronomers quite overlooked
this important law of his. Lebedeff, indeed, tried in 1892 to apply it
to the tails of comets, which he regarded as gaseous; but the law is
not applicable in this case. As late as the year 1900, shortly before
Lebedeff was able to publish his experimental verification of this
law, I attempted to prove its vast importance for the explanation of
several celestial phenomena. The magnitude of the radiation pressure
of the solar atmosphere must be equivalent to 2.75 milligrammes if the
rays strike vertically against a black body one square centimetre in
area. I also calculated the size of a spherule of the same specific
gravity as water, such that the radiation pressure to which it would be
exposed in the vicinity of the sun would balance the attraction by the
sun. It resulted that equilibrium would be established if the diameter
of the sphere were 0.0015 mm. A correction supplied by Schwarzschild
showed that the calculation was only valid when the sphere completely
reflects all the rays which fall upon it. If the diameter of the
spherule be still smaller, the radiation pressure will prevail over
the attraction, and such a sphere would be repelled by the sun. Owing
to the refraction of light, this will, according to Schwarzschild,
further necessitate that the circumference of the spherule should be
greater than 0.3 times the wave-length of the incident rays. When the
sphere becomes still smaller, gravitation will once more predominate.
But spherules whose sizes are intermediate between these two limits
will be repelled. It results, therefore, that molecules, which have far
smaller dimensions than those mentioned, will not be repelled by the
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