Scientific American Supplement, No. 1082, September 26, 1896Various
Science
Scientific American Supplement, No. 1082, September 26, 1896
Various
Science -- Periodicals
Consider next successive rays within a piece of glass or a stone which
are about to emerge with different inclinations. (See Fig. 1.) As
their course approaches more nearly to the surface, so will the
emerging rays issue more nearly along the surface of the stone; but
the obliquity of the emerging rays increases much more rapidly than
that of the internal rays, until for one ray in the series the
direction of the light (C in the figure) refracted out coincides with
that surface. What, then, will happen to the light within the stone,
which falls still more obliquely? It cannot be refracted out, and, as
a fact, it is entirely reflected within the stone. Imagine, then, how
much greater is the brilliancy of the beam of light, c, e, d, which is
completely reflected, than that of the intermediate portion of the
reflected light, a, b, c, which has lost a large part of its rays by
refraction. The difference is easily seen by looking at a glass of
water held above the head; the brilliant silvery appearance of the
surface, when viewed obliquely, is due to total reflection. The light,
c, d, e, is said to have been totally reflected; and half the angle
between C and c is called the "angle of total reflection." This angle
depends upon the refractive power of the stone. The angle of total
reflection for diamond is about 25°; in no other stone is the
corresponding angle less than 30°; for most of them it is much
greater; while for heavy glass it is about 40°. Light striking the
internal surface more obliquely is reflected without losing any of its
rays by refraction.
[Illustration: FIG. 2.--TOTAL REFLECTION OF LIGHT WITHIN A BRILLIANT.]
It is very clear, then, that of the light traveling in directions
within a diamond, a far larger proportion is internally reflected than
is the case with any other stone. We shall see presently that it is
this property which gives the diamond its consummate brilliancy.
Another effect produced by refraction is, as every one knows, the
separation of ordinary light into rays of different colors--it is seen
in any prism of glass. This property is known as the "dispersion" of
light; and a stone which possesses great dispersion will exhibit a
beautiful play of spectral colors--will exhibit a high degree of what
is called fire. In this respect again the diamond is pre-eminent; its
dispersion is nearly twice as great as that of other stones.
All these optical properties are beautifully shown by those unworked
jewels of which the smooth facets have been produced by nature; I mean
the crystals of the various minerals. The beauty of natural crystals
of transparent minerals is largely due to the optical effects which I
have just been describing.
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