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THE REALITY OF MOLECULES 93

5d. Eleven Days Later: Brownian Motion*


  1. Another Bit of Nineteenth Century History. During the nineteenth century,
    it had become clear from experiments performed in various laboratories that
    Brownian motions increase with decreasing size and density of the suspended par-
    ticles (10~^3 mm is a typical particle radius above which these motions are hardly
    observable) and with decreasing viscosity and increasing temperature of the host
    liquid. Another important outcome of this early research was that it narrowed
    down the number of possible explanations of this phenomenon, beginning with
    Brown's own conclusion that it had nothing to do with small things that are alive.
    Further investigations eliminated such causes as temperature gradients, mechan-
    ical disturbances, capillary actions, irradiation of the liquid (as long as the result-
    ing temperature increase can be neglected), and the presence of convection currents
    within the liquid. As can be expected, not all of these conclusions were at once
    generally accepted without controversy.
    In the 1860s, the view emerged that the cause of the phenomenon was to be
    found in the internal motions of the fluid. From then on, it did not take long before
    the more specific suggestion was made that the zigzag motions of the suspended
    particles were due to collisions with the molecules of the fluid. At least three phys-
    icists proposed this independently: Giovanni Cantoni from Pavia and the two Bel-
    gian Jesuits Joseph Delsaulx and Ignace Carbonelle. Of course, this was a matter
    of speculation rather than proof. 'Io penso che il moto di danza delle particelle
    solide ... possa attribuirsi alle different! velocita che esser devono ... sia in coteste
    particelli solide, sia nelle molecole del liquido che le urtano da ogni banda,' wrote
    Cantoni [C6].** '[Les] mouvements browniens. .. seraient, dans ma maniere de
    considerer le phenomene, le resultat des mouvements moleculaires calorifiques du
    liquide ambiant,' wrote Delsaulx [D5].f
    However, these proposals soon met with strong opposition, led by the Swiss
    botanist Carl von Naegeli and by William Ramsey. Their counterargument was
    based on the incorrect assumption that every single zig or zag in the path of a
    suspended particle should be due to a single collision with an individual molecule.
    Even though experiments were not very quantitative at that time, it was not dif-
    ficult to realize that this assumption led to absurdities. Nevertheless, the expla-



  • Einstein's papers on Brownian motion as well as the 1906 paper have been collected in a handy
    little book by Fiirth [Fl, F2]. A useful though not complete set of references to nineteenth century
    experimental work and theoretical speculation can be found in a paper by Smoluchowski [S3]; see
    also [B8] and [N4].


**I believe that the dancing motion of the solid particles ... can be attributed to the different veloc-
ities which ought to be ascribed. .. either to the said solid particles, or to the molecules of the liquid
which hit [these solid particles] from all directions.


fin my way of considering the phenomenon, the Brownian motions should be the consequence of
the molecular heat motions of the ambient liquid.

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