Among the smallest of known organisms we have, for instance,
_Micromonas mesnili_, Bonel, a flagellate infusorian, which measures
about ·34 _µ_, or ·00034 mm., by ·00025 mm.; smaller even than this
we have a pathogenic micrococcus of the rabbit, _M. progrediens_,
Schröter, the diameter of which is said to be only ·00015 mm. or
·15 _µ_, or 1·5 × 10^{−5} cm.,—about equal to the thickness of {39}
the thinnest gold-leaf; and as small if not smaller still are a few
bacteria and their spores. But here we have reached, or all but reached
the utmost limits of ordinary microscopic vision; and there remain
still smaller organisms, the so-called “filter-passers,” which the
ultra-microscope reveals, but which are mainly brought within our ken
only by the maladies, such as hydrophobia, foot-and-mouth disease, or
the “mosaic” disease of the tobacco-plant, to which these invisible
micro-organisms give rise[65]. Accordingly, since it is only by the
diseases which they occasion that these tiny bodies are made known to
us, we might be tempted to suppose that innumerable other invisible
organisms, smaller and yet smaller, exist unseen and unrecognised by
man.
[Illustration: Fig. 2. Relative magnitudes of: A, human blood-corpuscle
(7·5 µ in diameter); B, _Bacillus anthracis_ (4 – 15 µ × 1 µ); C,
various Micrococci (diam. 0·5 – 1 µ, rarely 2 µ); D, _Micromonas
progrediens_, Schröter (diam. 0·15 µ).]
To illustrate some of these small magnitudes I have adapted the
preceding diagram from one given by Zsigmondy[66]. Upon the {40} same
scale the minute ultramicroscopic particles of colloid gold would be
represented by the finest dots which we could make visible to the naked
eye upon the paper.
A bacillus of ordinary, typical size is, say, 1 µ in length. The length
(or height) of a man is about a million and three-quarter times as
great, i.e. 1·75 metres, or 1·75 × 10^6 µ; and the mass of the man is
in the neighbourhood of five million, million, million (5 × 10^{18})
times greater than that of the bacillus. If we ask whether there may
not exist organisms as much less than the bacillus as the bacillus is
less than the dimensions of a man, it is very easy to see that this
is quite impossible, for we are rapidly approaching a point where the
question of molecular dimensions, and of the ultimate divisibility of
matter, begins to call for our attention, and to obtrude itself as a
crucial factor in the case.
Clerk Maxwell dealt with this matter in his article “Atom[67],” and, in
somewhat greater detail, Errera discusses the question on the following
lines[68]. The weight of a hydrogen molecule is, according to the
physical chemists, somewhere about 8·6 × 2 × 10^{−22} milligrammes; and
that of any other element, whose molecular weight is _M_, is given by
the equation
(_M_) = 8·6 × _M_ × 10^{−22}.
Accordingly, the weight of the atom of sulphur may be taken as
8·6 × 32 × 10^{−22} mgm. = 275 × 10^{−22} mgm.
Public-domain text, read in full here on John Shaqi.
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