Such a very thin cleavage plate, about 1½ inches in its longest
dimension, is mounted with Canada balsam between a pair of circular
glass plates 1⅞ inches in diameter, the standard size of object plates
for the projection polariscope; the double plate is then supported in a
mahogany frame also of the standard size—4 by 2¼ inches, with clear
aperture of 1⅝ inches diameter and supporting rabbet for the plate 1⅞ to
2 inches diameter—on the rotating stage by a pair of spring clips. The
Nicols being arranged with their vibration directions parallel, in order
to permit light to travel to the screen, and the lenses being arranged
properly for a sharply focussed picture of suitable size, the outline of
the crystal plate will be seen on the screen, and the whole area of the
crystal will either at once appear coloured, or will do so on more or
less rotation of the stage carrying the crystal, which rotates the
latter in its own plane. The crystal outline is of the character shown
in Fig. 80, which also gives the positions of the crystal axes a and c,
and a simple stereographic projection of the faces of the crystal, from
which the nature of the faces bounding the section-plate will be clear.
[Illustration:
FIG. 80.—Section of Gypsum Crystal showing the Extinction Directions.
]
On rotating the Nicol analyser the colours change, and appear at their
maximum brilliancy when the field is dark and the Nicols crossed.
Leaving the analyser crossed to the polariser, and rotating the stage
and therefore the crystal, the colours again change, and at certain
positions 90° apart during the rotation, marked by the two strong lines
in Fig. 80, they disappear altogether, and the crystal becomes dark like
the rest of the field, while the positions of maximum brilliancy of
colour are found to be situated at the 45°-positions intermediate
between these positions of “extinction.” When the quenching occurs the
vibration planes of the two rays, travelling by virtue of double
refraction through the crystal, are parallel to the planes of vibration
of the rays transmitted through the two Nicols, and the fact is a very
important one, enabling us to determine the directions of light
vibration in the crystal. In the case of our gypsum plate, the cleavage
of gypsum being parallel to the unique plane of symmetry of the
monoclinic crystal, these two positions are the directions of the two
axes of the optical ellipsoid which lie in the symmetry plane, and they
correspond to the vibration directions of rays affording the refractive
indices α and γ. The direction corresponding to γ is that of the “first
median line,” the bisectrix of the acute angle between the optic axes;
while α corresponds to the obtuse bisectrix or “second median line.”
These directions are clearly marked by the strong lines in Fig. 80. The
third axis of the optical ellipsoid is obviously perpendicular to the
plate and to the symmetry plane, and corresponds to the intermediate
refractive index β.
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