A text-book of assaying : $b for the use of those connected with mines.Beringer, C. (Cornelius)
Science
A text-book of assaying : $b for the use of those connected with mines.
Beringer, C. (Cornelius)
Assaying
Since the divisions over the button are
less distinct than the others, it is best to read the latter. Thus, in
fig. 44_b_, there are 36 divisions on one side of the button, and 35 on
the other, making altogether 71. The whole scale is 80, therefore the
diameter of the button is 9 divisions. The value of each division
obviously varies with the magnifying power employed. With most
microscopes there is a telescopic arrangement whereby the tube may be
lengthened; if this be done and the button again brought in focus, it
will be seen that, as measured on the scale, the button is much larger
than before. It is evident, therefore, the micrometer must always be
used in the same way. The method given in the appendix (page 440), for
finding the value of the scale when gold buttons are to be measured is
easy and satisfactory. When the button of gold is so small that there is
considerable risk of losing it in transferring to a watch-glass, it may
be measured on the cupel, but for this purpose it must be well
illuminated; this is best done by concentrating light on it with a lens,
or with what comes to the same thing, a clean flask filled with water.
[Illustration: FIG. 44_b._]
Most assayers, however, using a micrometer in this way, would like to
know its absolute value. To do this, a stage micrometer must be
purchased. This is like an ordinary microscope slide (fig. 44_a_, C),
and when looked at through a microscope it shows (fig. 44_c_) lines
ruled on the glass at distances of tenths and hundredths of a
millimetre, ten of each, so that the full scale is 1.1 mm. In the case
illustrated, 60 divisions of the scale in the eye-piece are just equal
to the 1.1 mm., therefore 1 division equals .0183 mm. A cube of this
diameter would contain (.0183×.0183×.0183) .0000061285 cubic mm. The
corresponding sphere is got by multiplying by .5236; this gives
.000003209 cb. mm. The weight of 1 cb. mm. of water is 1 milligram; and,
since gold is 19.2 times as heavy as water (sp. g. = 19.2), the contents
in cb. mm. must be multiplied by 19.2. This gives .0000616 milligram as
the weight of a sphere of gold measuring 1 division.
[Illustration: FIG. 44_c._]
If every result had to be calculated in this way the method would be
very laborious; but, having the figures for the first division, those of
the others may be calculated by multiplying by the cube of the
corresponding number. Thus, for the third division (3×3×3 = 27), the
content of the cube (.0000061285×27) is .0001655 cb. mm.; the content of
the sphere (.000003209×27) is .0000866 cb. mm.; and the corresponding
sphere of gold (.0000616×27) is .00166 milligram. With the help of a
table of cubes the whole calculation for 25 or 30 divisions may be made
in half an hour, and the results preserved in the form of a table will
simplify all future work.
Public-domain text, read in full here on John Shaqi.
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